Self-Help To ICSE 10 Years Solved Papers Physics

December 8, 2022 | Author: Anonymous | Category: N/A

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olt lts ^BPW@GW

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

4>99

4>94

4>97

4>9=

4>93

4>91

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^b-9-94 ^b-97-4= ^b-43-77 ^b-7=-=1 ^b-=5-30 ^b-1>-54 ^b-57-24 ^b-27-07 ^b-0=-9>2 ^b-9>0-947

GBCF@W]TP

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

4>99

4>94

4>97

4>9=

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Gb-94=-973 Gb-971-9=5 Gb-9=2-935 Gb-932-915 Gb-912-952 Gb-950-90> Gb-909-4>4 Gb-4>7-499 Gb-494-444 Gb-447-477

D@OHOEP

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

4>9>

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Dò-47=-4== Dò-4=3-43= Dò-433-411 Dò-415-452 Dò-450-40> Dò-409-7>4 Dò-7>7-797 Dò-79=-741 Dò-745-770 Dò-7=>-73=

FI]BCFI]@GW

@GWC îpcr

4>99

F-733-759

@GWC îpcr @GWC îpcr

4>94

4>97

F-754-723 F-721-700

@GWC îpcr

4>9=

F-=>>-=99

@GWC îpcr

4>93

F-=94-=41

@GWC îpcr

4>91

F-=45-==3

@GWC îpcr

4>95

F-==1-=14

@GWC îpcr

4>92

F-=17-=24

@GWC îpcr

4>90

F-=27-3>9

@GWC îpcr

4>4>

F-3>4-349

B@W]OTP & G@Q@GW

@GWC îpcr @GWC îpcr

4>99 4>94

B&G-344-377 B&G-37=-3==

@GWC îpcr

4>97

B&G-3=3-337

@GWC îpcr

4>9=

B&G-33=-319

@GWC îpcr

4>93

B&G-314-310

@GWC îpcr

4>91

B&G-35>-329

@GWC îpcr

4>95

B&G-324-307

@GWC îpcr

4>92

B&G-30=-1>4

@GWC îpcr

4>90

B&G-1>7-199

@GWC îpcr

4>4>

B&G-194-14>

4>99

Eco-149-179

@GWC îpcr

ECOETI^BP

@GWC îpcr

4>94

Eco-174-1=>

@GWC îpcr

4>97

Eco-1=9-139

@GWC îpcr

4>9=

Eco-134-119

@GWC îpcr

4>93

Eco-114-159

@GWC îpcr

4>91

Eco-154-123

@GWC îpcr

4>95

Eco-121-105

@GWC îpcr

4>92

Eco-102-5>5

@GWC îpcr

4>90

Eco-5>2-595

4>4>

@GWC îpcr

-

Eco 592-57>

CLEH@WB HILESIEC-@

@GWC îpcr @GWC îpcr

4>90 4>4>

Cle-@-579-570 Cle-@-579-570

(Wohutòl aor prcvòus ycir pipcrs `s lot e`vcl muc to `ltromug `ltromugtòl tòl oa lcw pittcrl pittcr l oa tbc pipcr) CLEH@WB H@]CTI]STC-@@

@GWC îpcr 4>90 Cle-@@-5=>-539 @GWC îpcr 4>90 Cle-@@-5=>-539 (Wohutòl aor prcvòus prc vòus ycir ycir pipcrs `s lot e`vcl muc to `ltromugtòl oa lcw syhhidus) syhhidus) B@LM@

@GWC îpcr

4>9>

B`l-534-514

@GWC îpcr

4>99

B`l-517-55>

@GWC îpcr

4>94

B`l-559-550

@GWC îpcr

4>97

B`l-52>-50>

@GWC îpcr

4>9=

B`l-509-2>9

@GWC îpcr

4>93

B`l-2>4-2>0

@GWC îpcr

4>91

B`l-29>-292

@GWC îpcr

4>95

B`l-290-272

@GWC îpcr

4>92

B`l-270-231

@GWC îpcr

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B`l-235-251

4>9> 4>99

4>94

4>97

4>9=

4>93

4>91

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GW-255-22= GW223-203 GW-201-099 GW-094-04> GW-049-079 GW-074-070 GW-0=>-0=1 GW-0=5-014 GW-017-057 GW-05=-023

GOFFCTG@IH W]SM@CW

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

GOFFCTG@IHI^^H@GI]@OLW

@GWC îpcr

4>9>

GW-021-001

@GWC îpcr

4>99

GW-005-9>>=

@GWC îpcr

4>94

GW-9>>3-9>49

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

4>97 4>9=

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GW-9>44-9>79 GW9>74-9>== GW-9>=3-9>1= GW-9>13-9>5= GW-9>53-9>22 GW-9>20-9>02 GW-9>00-999>

CGOLOF@GW

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

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Cgo-9999-9949 Cgo-9944-9974 Cgo-9977-9939 Cgo-9934-991>

-

Cgo 9919-9954 Cgo-9957-9927 Cgo-992=-9904 Cgo-9907-94>> Cgo-94>9-94>2 Cgo-94>0-9492

CGOLOF@GW I^^H@GI I^^H@GI]@OLW ]@OLW

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC @GWC îpcr îpcr @GWC îpcr

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C.I-9490-9474 C.I-9477-94=4 C.I-94=7-9434 C.I-9437-9414 C.I-9417-945>

-

C.I C.I-9459-942> 9429-9409 C.I-9404-97>4

GOF^S]CT I^^H@GI I^^H@GI]@OLW ]@OLW

@GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr @GWC îpcr

4>9>

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GI-97>7-9795 GI-9792-9742 GI-9740-9771 GI-9775-97=5 GI-97=2-9730 GI-971>-9715 GI-9712-9755 GI-9752-9725 GI-9722-9=>>

@GWC îpcr

4>90

GI 9=>9 9=>0

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>99 (WOHQCM) ^BPW@GW Ilswcrs to tb`s pipcr fust dc wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy scpiritchy.. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl îpcr îpcr.. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs.

Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@. ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts ( ). WCG]@OL ‗ @ (=> Firjs)

(Ittcfpt ihh qucstòls arof tb`s scgtòl) Yucstòl 9.

( i ) ( `)

Mca` Mca`lc lc olc lcwto cwtol l.

( `` ) Ur`tc tbc r chi tòl dct wccl W. @. ul`t i lm G.E.W. ul` t oa aor gc.

( 4)

(d) Ubcrc mocs mocs tbc pos`tòl pos`tòl oa gcltrc gcltrc oa eriv`ty eriv`ty h`c aor aor ( `)

i g`r `rgguhir hir hif hif`li

( `` ) i tr ì leuhi r hi f`li ?

( 4)

(g ) I fil gil opcl i lut dy ipphy`le i aorgc oa 93> L dy us`le i hcvcr bilmhc oa hcletb >.= f. Ubit sbouhm dc tbc hcletb oa tbc bilmhc à bc `s idhc to opcl `t dy ipphy`l ipphy`le e i aorgc oa 1> L ? (4) (4 ) (m) Lifc i figb`lc figb`lc wb`gb wb`gb gil gil dc uscm to ( `)

fuht`ph y aor gc gc

( `` ) gbi lec tbc m`r cgtòl oa aor g c i pph`cm. (c) ]bc mìerif dchow dchow sbows sbows i hcvcr hcvcr `l usc.

( 4) Caaort (C)

A

I

D

Hoim (H) 3> L

( `)

]o wb`g wb`gb b gh ghiss iss oa oa hhcv cvcr cr moc mocss `t d dcho chole le ?

( `` ) @a AI 6 => gf, gf, I ID D 6 1> gf, gf, tbcl tbcl a`lm a`lm tbc tbc fcg fcgbil` bil`gih gih imvilti imviltiec ec oa tbc tbc hcvcr hcvcr.. Ilswcr ;

(4)

( i ) ( `)

Olc lcwtol lcwtol `s tbit aaorgc orgc wb`gb wbcl wbcl igt`l igt`le e ol i domy oa fiss 9 je, promu promugcs gcs il iggchcritòl oa 9 fs ‗4 `l `t.

^b 9

4>99

bttps;//www.irulmccpschabchp.`lao/

^b 4

4>99

( `` ) W.@. ul`t ul`t oa aorgc aorgc `s lcwtol lcwtol (L) ilm G.E.W. G.E.W. ul`t ul`t `s myl mylc. c. 9L 6 9>3 mylc ( d ) ( `)

Gcltr trcc oa hhii f`l f`lii .

( `` ) ]bc po`lt po`lt oa `ltc `ltcrscgtò rscgtòl l oa fc fcmìls. mìls. (g ) Hct tbc scgolm scgolm hcle hcletb tb oa tbc tbc bilmhc dc H. 93> Õ >.= 6 1> Õ H

Ü H6

93> ½ >.= 1>

6 9 f

X Hcletb oa bilmhc 6 9 f ( m ) ( `)

W`lehc fovi dhc puhhcy.

( c ) ( `)

Ghi ss ss @@ @@ hcvcr.

( `` ) F.I. 6

6

DA IA

=> + 1> =>

6

6

( `` )

W` W`le lehc hc a`xc a`xcm m puh puhhc hcy y.

AI + ID AI

9>> =>

6 4.3

Yucstòl 4.

(i) I dihh oa fiss 4>> e aihhs arof i bcèbt bcèbt oa 3 f. Ubit w`hh dc `ts j`lct`g cl clcrey crey wbcl `t kust rcigbcs tbc eroulm ? (e 6 0.2 f s ‗4 ) ( 4) (d (d)) @l tbc mìerif dchow, dchow, ^Y `s i riy oa hèbt `lg`mclt ol rcgtileuhir ehiss dhogj. ( `)

Gopy tbc mìerif ilm gofph gofphctc ctc tbc pitb oa tbc tbc riy oa hèbt tbroue tbroueb b tbc ehiss dhogj. dhogj. @l your mìerif, firj tbc ilehc oa `lg`mclgc dy hcttcr ‒ `‐ ilm tbc ilehc oa cfcreclgc dy tbc hcttcr hctt cr ‒ c ‐.

( `` ) Bow Bow irc irc ttbc bc ileh ilehcc ‒`‐ ilm ‒ c ‐ rchitcm to cigb otbcr ? ^

Y

(g ) I riy oa fologb fologbrofit`g rofit`g hèb hèbtt cltcrs i h`qu`m arof i`r is sbowl `l tbc mìerif e`vcl e`vcl dchow. dch ow. ( `)

Gopy tbc mìe mìerif rif il ilm m sbow sbow `l tb tbcc mìerif tbc pitb oa tbc tbc riy oa hèbt iatcr `t str`jcs str`jcs tbc f`rror ilm rc-cltcrs tbc fcmùf oa i`r.

bttps;//www.irulmccpschabchp.`lao/

^b 7

4>99

( `` ) Firj `l your your mìerif tbc two ilehcs ilehcs ol tbc tbc suraigc suraigc oa scpiritòl scpiritòl wbcl wbcl tbc riy oa hèbt fovc s out arof tbc h`qu`m to i `r. ( 4)

=3¾

I`r

7>¾

H`qu`m

^hilc f`ror

( m ) ( `)

Ubcl mocs mocs i riy oa hèbt hèbt aihh`le aihh`le ol i hcls hcls piss tbroue tbroueb b ``tt ulmcvìtc ulmcvìtcm m?

( `` ) U b`gb hcls gi l pr omugc i r ci h i lm ` lvcr tcm `fi ec oa i l od kcgt ? ( 4) ( c ) ( `) Bow `s tbc tbc rcarigt`vc rcarigt`vc `lmcx `lmcx oa i fcmùf fcmùf rchitcm to `ts rcih mcptb mcptb ilm ippirclt ippirclt mcptb? mcptb? ( `` ) Ub`gb gbirigtcr`st`g gbirigtcr`st`g propcrty propcrty o oaa hèbt hèbt `s rcspols`dhc rcspols`dhc aor aor tbc dhuc gohour gohour oa oa tbc sjy ? (4) (4 ) Ilswcr ;

(i) J.C J.C.. 6 ^.C. ^.C. 6 feb feb 6 ( d ) ( `)

4>> 9>>>

Õ 0.2 Õ 3 6 0.2 Kouhc ^

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Y

r

c

( `` ) Þ ` 6 Þc =3¾

( g ) ( `), ( `` )

=3¾

I`r 7>¾

7>¾

H`qu`m

^hilc f`ror

bttps;//www.irulmccpschabchp.`lao/

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( m ) ( `)

I riy oa hèbt hèbt piss`le piss`le tbrou tbroueb eb tbc opt opt`gih `gih gc gcltrc ltrc oa tbc tbc hcls pisscs tbrou tbroueb eb `t ulmcvì ulmcvìtcm. tcm.

( `` ) Gol Golvcx hcl hcls. Tcih mcptb ( c ) ( `)

Tcaar ig Tc igt`vc `l `lmcx 6

Ippirclt mcptb

( `` ) Caac Caacgt gtss oa sgi sgitt ttcr cr`l `le. e. ]bc dhuc or vòhct hèbt muc to `ts sbort wivchcletb `s sgittcrcm forc is gofpircm to rcm hèbt oa hole wivchcletb. Yucstòl 7.

(i) Ubcl igoust`g rcso rcsolilgc lilgc tijcs phigc, phigc, i houm soulm soulm `s bcirm. Uby mocs tb`s bippcl bippcl ? Cxphi`l. ( 4) ( d ) ( `)

]brcc ]brcc fus`gih fus`gih `lstruf `lstrufclts clts e`vc e`vc out out lotcs lotcs it tbc arc arcqucl quclg`cs g`cs h`stcm dchow. dchow. Ahutc ; =>> Bz: Eu`tir ; 4>> Bz: ]rufpct ; 3>> Bz. Ub`gb olc oa tbcsc bis tbc bèbcst p`tgb ?

( `` ) U`tb wb`gb wb`gb oa tbc aohhow`le aohhow`le aarcquc rcquclg`c lg`css mocs i tul`l tul`le e aorj oa oa 431 Bz rcsolitc ? 422 B z , 7 9= Bz , 77 7 B z , 3 9 4 B z . ( 4) (g ) ]wo duhds irc firjcm 9>> U, U, 44> Q ilm 1> U U,, 99> Q. Q. Gihguhitc tbc ritò oa tbc`r rcs`stilgcs. (4) (4 ) ( m ) ( `)

Ubit `s tbc goho gohour ur gomc gomc aor aor tbc tbc `lsuhit` `lsuhitòl ol o ol l tbc cirtb w`rc ?

( `` ) Ur`tc il cxprcssò cxprcssòl l aor ggihguhit`le ihguhit`le chcgtr`gih chcgtr`gih p powc owcrr `l tcrfs oa gurrcl gurrcltt ilm rcs`stilgc. rcs`stilgc. (4) (4 ) (c) Gihguhit Gihguhitcc ttbc bc cqu`vih cqu`vihcl cltt rc rcs`stil s`stilgc gc dctwcc dctwccl l I ilm D arof arof tbc aohhow aohhow`le `le mìerif mìerif ;

(4)

Ilswcr ;

(i) It igoust`g rcsolilgc, tbc ifph`tumc oa tbc v`dritòl oa tbc domy dcgofcs dcgofcs vcry vcry hirec. W`lgc houmlcss `s proportòlih to tbc squirc oa tbc ifph`tumc, tbcrcaorc, wc bcir i houm soulm ulmcr tb`s golm`tòl. ( d ) ( `)

]rufpct ; 3> 3>> Bz Bz .

( `` ) 394 Bz. Wcgo Wcgolm lm rcsol rcsolilg ilgcc w`hh tij tijcc ph phigc igc.. Q

(g ) Uc jlo jlow w tbit tbit T 6

4

^

bttps;//www.irulmccpschabchp.`lao/

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]bc rcs`stilgc T 9 oa tbc a`rst duhd, T 9 6 99> ½ 99>

ilm T 4 6

X

T 9

6

T 4

( m ) ( `)

1>

=2= 949>

6

949> 1

44> ½ 44> 9>>

6 =2=U

6 4>9.15U

Õ 1 6 4.=

Pchhow

( `` )

^ 6 @4 T

( c ) T9  6 7 + 4 6 3 U T 4 6 7> U T 7 6 1 + = 6 9> U

X

Ü

Ü

Ü

9 T 9 T 9 T 9 T

9 6

6

6

6

9 +

T 9 9 3

+

9

T 4 9

7>

+

+

T 7

9 9>

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Ü T 6 7U Yucstòl =.

( i ) M` Màacr cltì tc dctwccl bci t i lm t cfpcri tur c. ( d ) ( `)

Mca` Mca`l lc Gih Giho or` r`f fctry ctry..

( 4)

( `` ) U bi t `s fc i lt dy C lcr ey mcer i mi tòl ?

( 4)

(g ) 4>> e oa bot witcr witcr it 2>»G `s immcm immcm to 7>> e oa goh gohm m witcr it 9>»G. Gihguhitc tbc a`lih tcfpcriturc oa tbc f`xturc oa witcr. Gols`mcr tbc bcit tijcl dy tbc golti`lcr to dy lcehè`dhc. Zspcgà`g bcit gipig`ty oa witcr `s =4>> Kje ‗9 »G ‗9 V ( 4) (m) A`hh `l tbc dhiljs `l tbc aohhow`le aohhow`le scltclgcs scltclgcs w`tb ipp ipproprìtc roprìtc worms ; ( `)

Mur Mur ``l le tbc tbc c f` f`ss ss`òl oa i dcti dcti pi rt` rt`gghc, hc, tbc tbc

lufdcr r cf cfi ``l ls tbc sif sifc.

( `` ) ]bc f`l`fuf f`l`fuf ifoul ifoultt oa clcrey clcrey rcqu`rcm to cf cf`t `t il chcgtrol arof i fctih suraigc `s gi h h c m . (c) I f`xturc f`xturc oa rimòigt`vc sudstilgcs e`vcs oaa tbrcc typcs oa oa rimìtòls. ( `)

( 4)

Lifc Lifc tbc rimì rimìtòl tòl wb`g wb`gb b tr trivchs ivchs w`tb w`tb tbc sspcc pccm m oa hèb hèbt. t.

( `` ) Li fc tbc r i mì tòl wb`gb bi s tbc bèbcst òl`z `le powcr.

( 4)

bttps;//www.irulmccpschabchp.`lao/

^b 1

4>99

Ilswcr ;

(i (i))

B c it

( `)

]c f pc r i t urc

Bci t `s tbc clcrey oa tr i ls`t.

( `` ) @ts W.@. ul` t `s K ouhc. ( d ) ( `)

( `)

]c f fp p ccrr i tu t u rrcc ` s t b c a u ul lm mii fc fc lt lt i h quilt`ty wb`gb mctcrf`lcs tbc m`rcgtòl oa ahow oa bcit.

( `` )

@ts @ts W.@ W.@.. ul` ul`tt ``ss Jch Jchv` v`l. l.

I gihor`fct gihor`fctry ry `s tbc pb pbclof clofclol clol tbrou tbroueb eb wb` wb`gb gb wc fcisurc fcisurc tbc ifoul ifoultt oa bcit ei`lcm or host dy i domy wbcl `t `s f`xcm w`tb otbcr domy.

( `` ) @t `s tbc trilsaorfitòl trilsaorfitòl oa oa clcrey clcrey `lto sof sofcc aorf `l wb`gb wb`gb `t `s hcss ivi`hidhc aor aor mo`le worj. (g ) Hct tbc a`lih tcfpcriturc dc ]»G. Dy tbc pr`lg`phc oa gihor`fctry, gihor`fctry, wc jlow jlow B ci t host 4>> 9>>>

6

Õ =4>> Õ (2> ‗ ]) 6

4 ( 2 > ‗ ])

Bc it ei `lcm 7>> 9>>>

Õ =4>> Õ (] ‗ 9>)

6

7 (] ‗ 9>)

Ü 91 > ‗ 4 ]

6

7] ‗ 7>

Ü 91 > + 7>

6

7] + 4]

Ü 3]

6

90 >

X ]6 ( m ) ( `)

90> 3

6 72»G

Fiss lufdcr Fi

( c ) ( `) e - r iys

( `` )

Uorj orj aulgt` lgtò ol

( `` )

Ihp hpb bi p pii rt` rt`gghc

WCG]@OL ‗ @@ (=> Firjs)

(Ittcfpt ily aour qucstòls arof tb`s scgtòl) Yucstòl 3.

( i ) ( `)

Ubit Ubit `s `s f fci cilt lt dy il `mci `mcihh fig figb` b`lc lc ?

( `` ) Ur`tc i rchitòlsb`p rchitòlsb`p dctwccl dctwccl tbc f fcgbil`gih cgbil`gih imvilt imviltiec iec (F.I.) ilm ilm vchog`ty vchog`ty ritò (Q.T.) oa il `mcih figb`lc. ( ``` ) I gooh`c gooh`c girry`le i hoim ol b`s b`s bcim ilm fov`le ol i ar`gtòlhcss bor`zoltih phitaorf mocs lo wor j. Cxphi `l tbc r c i sol wby. ( 7) (d) Mriw i mìerif totbc sbow tbcfcgbil`gih clcrey clcrey gbilecs gbilecs `l`l il`tosg`hhit`le s`fphc mur`le pclmuhuf pclmuhuf. @lm`gitc `l your mìerif bow totih clcrey rcfi`ls golstilt tbc. osg`hhitòl. (7) (7 ) (g ) I ulàorf ulàorf fctrc sgihc gil gil dc dihilgcm it tbc 5>.> gf firj firj wbcl i fiss fiss oa >.>3 je `s bule arof tbc 0=.> gf firj.

bttps;//www.irulmccpschabchp.`lao/

^b 5

4>99

( `)

Mriw Mriw i mìer mìerif if oa tbc tbc ir irril rilec ecfc fclt lt..

( `` ) A`lm tbc fi ss oa tbc fctr c sgi hc.

( =)

Ilswcrs ;

( i ) ( `)

@l il `mcih figb figb`lc, `lc, tbc worj worj ou outpu tputt `s cquih to tbc worj `lput `lput `.c., tbc caa`g`clgy oa il `mcih figb`lc `s 9>>%.

( `` ) Caa` Caa`gg`cl `clgy 6

F.I. Q.T.

@l il `mcih figb`lc, figb`lc, ritò 6 9 ; 9 ( ``` ) Gooh`c mocs lot lot fovc fovc ulmcr ulmcr tbc `la `lahuclgc huclgc oa oa i aorgc `.c., ar`gtòlih aorgc `s zcro. ]bc aorgc ipph`cm dy b`f to hàt tbc hoim `s pcrpclm`guhir to m`sphigcfclt. (d (d))

O

]otih clcrey

J.C. ^.C. 6 fe b

^.C. 6 fe b J.C 6 >

J.C6 >

Clcrey

G

^.C.

D

b

b

I J.C. 6 feb ^.C. 6 >

Bcèbt idovc eroulm

]bc virìtòl oa potcltìh ilm j`lct`g clcrey `s is sbowl. ]bc totih clcrey rcfi`ls golstilt. ( g ) ( `)

0gf

3>gf 5>gf

0=gf

9>>gf A U

( `` ) Iggorm Iggorm`le `le tb tbcc pr`l pr`lg`p g`phc hc oa f fof ofcl clts ts U (5> ‗ 3>) 6 >.>3 (0= ‗ 5>) U Õ 4> 6 >.>3 Õ 4= Ucèbt cèbt oa tbc fc fctrc trc sgihc 6

4= 4>

Õ >.>3 6 >.>1 je

Yucstòl 1.

( i ) ( `)

Wtitc Wtitc tbc tbc hiws hiws o oaa rc rcar arigt igtò òl l oa hè hèbt bt..

( `` ) Ur`tc i rchitòl rchitòl dc dctwccl twccl tbc ilehc oa `lg`mc `lg`mclgc lgc (`), ilehc oa cfcreclgc ( c ), ilehc oa pr`s f (I) ilm ilehc oa mcv pr`sf mcvìt ìtòl òl ( m ) aor i riy oa hèbt piss`le tbroueb il cqu`hitcrih pr pr`s `s f. (7) (7 ) ( d ) ( `)

Wueecst Wueecst olc olc wiy, wiy, `l cigb gisc, dy wb`g wb`gb b wc gil mctcgt mctcgt tbc tbc prcsclgc prcsclgc oa ; 9.

@lar i r cm ri r i mì tòls.

4.

Shtr i vòhc t r i mì tòls.

( `` ) E`vc olc usc oa @lar i r cm r i mì tòls.

( 7)

bttps;//www.irulmccpschabchp.`lao/

^b 2

4>99

(g ) Il odkcgt `s phigcm phigcm `l arolt oa i hcls dctwccl `ts opt`gih opt`gih gcltrc ilm tbc aaogus ogus ilm aorfs aorfs i v`rtuih, crcgt ilm m`f`l`sbcm `fiec. ( `)

Lifc Lifc tbc tbc hcls hcls w wb`g b`gb b aaorf orfcm cm tb`s `f `fiec iec..

( `` ) Mriw i riy mìerif to sbows sbows tbc aorfitò aorfitòl l oa tbc tbc `fiec w`tb tbc idovc stitcm g bi r i g tc r ` s t `gs . ( =) Ilswcr ;

( i ) ( `)

Hiws iws o oaa Tcari cariggtò tòl ; (i)

]bc `l `lg`mc g`mclt lt riy riy,, tbc rcarigtcm rcarigtcm riy ilm tbc lorfih lorfih it tbc po`lt po`lt oa oa `lg`mclg `lg`mclgc, c, ihh h`c `l tbc sifc philc.

(d) ]bc ritò oa oa tbc s`lc o oaa tbc ileh ilehcc oa `lg`mclgc `lg`mclgc to tbc s`lc s`lc oa tbc ilehc ilehc oa rcarigtòl rcarigtòl `s golstilt aor tbc pi`r oa e`vcl fcmì. ( `` ) ` + c 6 I + m ( d ) ( `)

@t `s tbc port` portòl ol oa spcgtr spcgtruf uf ; (i)

Kust dcyo dcyolm lm tbc rc rcm m clm. clm. I dhigjclcm dhigjclcm tbcrfof tbcrfofctcr ctcr sbows sbows i fugb fugb hirecr hirecr r`sc oa tcfpcriturc wbcl phigcm `l tbc `larircm rceòl.

(d) Kust dcaorc tbc vòhct clm. ]bcsc irc mct mctcgtcm cgtcm dy tbc s`hvcr gbhor`mc sohutòl wb`gb turls vòhct ilm a`lihhy dhigj `l tbc uhtrivòhct hèbt. ( `` ) ]b ]bcy cy irc irc uscm `l pbo pboto toerip eripby by it lèb lèbt. t. ( g ) ( `) ( `` )

Golgi vc h cls G

I

A4 M

I

M

D

¢

¢

O

A9

Yucstòl 5.

( i ) ( `)

Lifc Lifc tbc tbc typc typc oa wivcs wivcs wb`g wb`gb b irc us uscm cm aaor or so soulm ulm rile`le rile`le..

( `` ) Uby irc tbcsc tbcsc w wivc ivcss fcltò fcltòlc lcm m `l ( `) idovc, lot ium`dhc to us ? ( ``` ) E`vc olc usc oa soulm r i le`le.

(7)

(d) I fil stilm`le 43 f iwiy arof i wihh promugcs i soulm ilm rcgc`vcs tbc rcahcgtcm soulm. ( `)

Gihguhitc tbc tbc t`f t`fcc iatc iatcrr wb`gb b bcc rcgc`vcs rcgc`vcs ttbc bc rc rcahcgtc ahcgtcm m soulm soulm à tb tbcc spccm spccm oa soulm soulm

`l i`r `s 73> fs ‗9. ( `` ) U`hh U`hh b bcc fil fil d dcc idhc idhc to bcir bcir i m m`st `st`l `lgt gt cg cgbo bo ? E`vc E`vc i rciso rcisol l aor aor your your il ilsw swcr cr.. ( g ) ( `)

(7)

Lifc two siacty siacty mc mcv`gcs v`gcs wb`gb irc gollcgtc gollcgtcm m to tbc h`vc w`rc w`rc oa i bousc bouscbohm bohm chcgtr`gih chcgtr`gih g`rgu`t.

( `` ) E`vc olc ` fpor ti lt aulgtòl oa ci gb oa tbcsc two mcv`gc s.

(=)

bttps;//www.irulmccpschabchp.`lao/

^b 0

4>99

Ilswcr.

( i ) ( `)

Sht htrr is isol`g wi v vccs.

( `` ) Dcgiusc tbc`r tbc`r arcquclgy arcquclgy h`cs h`cs dcyolm dcyolm tbc h`f h`f`ts `ts oa ium`d`h`ty ium`d`h`ty (4> (4> Bz ‗ 4>,>>> Bz). ( ``` ) ]o hogitc tbc pos`tòl pos`tòl oa tb tbcc odkcgt ulmcr witcr ilm to aa`lm `lm tbc mcptb oa sci. ( d ) ( `)

]`fc 6

4m v

6

4 ½ 43 73>

6 >.9= scg

( `` ) Pcs, dcgiusc dcgiusc m`stilg m`stilgcc `s fo forc rc tbil 95 95 f ilm t`fc t`fc pcròm pcròm `s >.9= scg. scg. ( g ) ( `)

Gollcg Gollcgtcm tcm mcv`gc mcv`gcss irc sw sw`tgbc `tgbcss ilm auscs auscs to h`vc w`rc w`rc..

( `` ) Ausc ; @t `s i siacty mcv`gc wb`gb `s uscm to h`f`t gurrclt `l il chcgtr`g g`rgu`t. Ww`tgb ; @ts fi`l aulgtòl `s c`tbcr to gollcgt or to m`sgollcgt il chcgtr`g ipphìlgc `l il chcgtr`g g`rgu`t. Yucstòl 2.

( i ) ( `)

Mriw i eripb eripb oa ôtcltìh ôtcltìh mà màacrc acrclgc lgc (Q) vcrsus vcrsus Gurrclt Gurrclt (@) aor il obf obf`g `g rcs`stor. rcs`stor.

( `` ) Bow gil you a`lm a`lm tbc rcs`stilgc rcs`stilgc oa tbc rcs`stor rcs`stor arof tb`s eripb ? ( ``` ) U bi t ` s i lol- obf`g r c s`stor ? ( d ) ( `)

( 7)

Il chcgtr`g chcgtr`g duhd `s `s firj firjcm cm 9>> U, U, 43> Q. Ubit `laorf `laorfitòl itòl mocs mocs tb`s tb`s golvcy golvcy ?

( `` ) Bow Bow fugb gur rrcclt w`hh `hh tbc duh duhd mr iw iw à gollc llcgtcm to i 43> 43> Q sup supphy ? (g ) ]brcc rcs`stors irc gollcgtcm gollcgtcm to i 94 Q dittcry is sbowl `l tbc aèurc e`vcl e`vcl dchow ;

( 7) 7)

( `)

Ubit `s tbc tbc gurrc gurrclt lt tbro tbroue ueb b tbc tbc 2 o obf bf rcs`stor rcs`stor ?

( `` ) Ubit `s tbc potcltìh potcltìh màacrc màacrclgc lgc igross igross tbc p pirihhch irihhch gofd`litò gofd`litòl l oa 1 obf obf ilm 94 obf obf rcs`stor ? ( ``` ) U bi t `s tbc gur r clt t br oueb tbc 1 obf r c s`stor ?

(=)

Ilswcr ;

( i ) ( `)      t       h     v     l       ` .      M .      ^

@ (`l ifp.)

bttps;//www.irulmccpschabchp.`lao/

^b 9>

4>99

( `` ) ]bc rcg`prog rcg`progih ih oa tbc @-Q eripb sbowl sbowl `l tb tbcc aèurc e`vcs e`vcs tbc rcs`stilgc rcs`stilgc oa tbc rcs`stor. rcs`stor. ( ``` ) Tcs`stor wb`gb wb`gb mo mo lot o odcy dcy obf‐ obf‐ss hiw ( `.c., Q ³ @) irc gihhcm lol-obf`g rcs`stors. ( d ) ( `)

^ 6 9 >> U Q 6 43> Q @t tchhs us tbit `t w`hh golsufc 9>> witt it 43> Q.

( `` ) T 6

Q

4

^

6 43> ½ 43> 6 143 U 9>>

X

@6

6

Q T

43> 143

6 >.= I 94 ½ 1

( g ) ( `)

Tcs` s`st stii l lgg c oa 94U , 1U pirihhch gofd`litòl 6

92

6 =U

]bc gofd`lcm rcs`stilgc oa tbc g`rgu`t 6 2 + = 6 94 U

X

Gurrclt tbroueb 2 U rcs`stilgc 6

94Q

6 9I

94 94Π Π ( `` ) ôtclt ôtcltìh ìh m màa àacrc crclgc lgc igross igross tb tbcc 94U ‗ 1U pirihhch gofd`litòl `s 6 = Õ 9 6 =Q

( ``` ) Gurrcl Gurrcltt tbrou tbroueb eb 1 U rcs`stor 6

9 ½ 94 1 + 94

6

94 92

6

4 7

I

Yucstòl 0.

( i ) ( `)

Cxphi`l wby tbc wcitbcr wcitbcr dcg dcgof ofcs cs vcry vcry gohm iatcr i bi`h storf. storf.

( `` ) Ubit bippcls bippcls to tb tbcc bcit supph`cm supph`cm to i sudstilg sudstilgcc wbcl tbc tbc bcit bcit supph`cm supph`cm giuscs giuscs lo gbi lec `l t bc t cfpcr i tur c oa tbc sudsti lgc ? ( 7) ( d ) ( `)

Ubcl Ubcl 9 e oa `g `gcc it > »G fcht fchtss to ao aorf rf 9 e oa wi witc tcrr it > »G tbcl tbcl,, `s tbc hitc hitclt lt bci bcitt idsordcm dy tbc `gc or e`vcl out dy `t ?

( `` ) E`vc olc cxifph cxifphcc wbcrc bèb bèb spcgà` spcgà`gg bcit gipig`ty gipig`ty oa witcr `s uscm is i bcit rcscrvo`r. rcscrvo`r. ( ``` ) E`vc olc cxifphc cxifphc wbcrc wbcrc bèb spcg spcgà`g à`g bcit gipig`ty oa witcr `s uscm aor gooh`le gooh`le pur poscs pos cs.. (7) (7 ) (g ) 43> e oa witcr witcr it 7>»G `s prcsclt `l i goppcr vc vcssch ssch oa fiss fiss 3> e. Gihguhitc tbc fiss fiss oa `gc rcqu`rcm to dr`le mowl tbc tcfpcriturc oa tbc vcssch ilm `ts goltclts to 3»G. Wpcgà`g hitclt bcit oa ausòl oa `gc 6 771 Õ 9>7 K je ‗9 Wpcgà`g bcit gipig`ty oa goppcr vcssch 6 =>> K je ‗9 »G ‗9 Wpcgà`g bcit gipig`ty oa witcr 6 =4>> K je ‗9 »G ‗9

(=) (= )

bttps;//www.irulmccpschabchp.`lao/

^b 99

4>99

Ilswcr ;

( i ) ( `)

Is tbc `gc stirts fcht`le fcht`le iatcr i bi`h bi`h stor storf, f, `t idsords idsords hitclt bcit oa ausòl ausòl arof arof tbc surroulm`le i`r. ]b`s hcims to tbc gooh`le oa itfospbcrc.

( `` ) Bcit supph`cm supph`cm to i sudstilgc sudstilgc mur`le mur`le `ts gbilec gbilec oa stitc `s gihhcm hitclt hitclt bcit. @t `s uscm uscm up `l `lgrcis`le tbc potcltìh clcrey oa tbc fohcguhcs oa tbc sudstilgc ilm `l mo`le worj iei`lst cxtcrlih prcssurc à tbcrc `s il `lgrcisc `l vohufc. Bclgc tbcrc `s lo gbilec oa tcfpcriturc. ( d ) ( `)

Uitcr it >»G bis bis forc forc bcit bcit tbil tbil `gc it >»G. >»G. ]b`s ]b`s `s dcgiusc dcgiusc cigb cigb erif erif oa oa `gc idsor idsords ds lcirhy 771 K oa bcit wbcl `t fchts `lto witcr it >»G.

( `` ) Bot witcr dotthcs irc uscm aor aof aofcltitòl cltitòl s`lg s`lgcc witcr mocs mocs lot gooh gooh qu`gjhy. qu`gjhy. ( ``` ) @t `s uscm is goohilt goohilt dy ahow`le ahow`le `t `l p`pc p`pcss iroulm tbc bcitcm pirt oa figb`lcs. figb`lcs. (g ) Iggorm`le to tbc pr`lg`phc oa gihor`fctry wc jlow, jlow, Bcit ei`lcm

6 Bcit host

f Õ 771 + f Õ =.4 Õ 3 6 43> Õ =.4 (7> (7> ‗ 3) + 3> Õ >.= (7> ‗ 3)

Ü 771 f + 49 f

6 43> Õ 9>3 + 3> Õ 9>

Ü 735 f

6 4143> + 3>>

X f 6

4153> 735

6 5=.0 e

Yucstòl 9>.

( i ) ( `)

Wtitc two two propcrt`cs propcrt`cs wb`gb i sudstilgc sudstilgc sbo sbouhm uhm posscss posscss wbcl uscm is i tbcrfòl tbcrfòl`g `g cf`ttcr.

( `` ) Ubcl il ihpbi ihpbi pirt`ghc pirt`ghc ei`l ei`lss two chcg chcgtrols trols `t dcgofc dcgofcss lcutrih ilm ilm dcgofcs dcgofcs il itof oa iil l ch chc fclt w wb b`gb `s `s i r ir ir c e eii s. Ub Ubi t ``ss tb tbc li li fc oa oa tb tb`s ri r ir c ei ei s ? (7 7)) ( d ) ( `)

Mca` Mca`lc lc rim` rimòi oigt gt`v `v`t `ty y.

( `` ) Ubit bippcls bippcls `ls`mc `ls`mc tbc lughcus lughcus tbit tbit giusc giuscss tbc cf`ssòl cf`ssòl oa oa dcti pirt`ghc pirt`ghc ? ( ``` ) Cxpr css t bc i dovc gbi lec ` l tbc aor f oa i l cq ui tòl. ( g ) ( `)

( 7)

Lifc i mcv`gc mcv`gc wb`gb wb`gb `s gof goffo folhy lhy uscm uscm to to golvcrt golvcrt il chcgtr`gih chcgtr`gih sèlih sèlih `lto i v`suih v`suih sèlih.

( `` ) ]bc lu lug hc hcus

4>4 2= R

cf`ts il ihpbi pirt`ghc ilm aorfs tbc lughcus P. Tcprcsclt tb`s

gbilec `l tbc aorf oa il cquitòl. ( ``` ) Ubit gbilecs w`hh tijc phigc phigc `l tbc f fiss iss lufdcr lufdcr ilm itof`g lufdcr lufdcr oa lughcus P à Ilswcr.

( i ) ( `)

`t cf`ts ei ffi ri mì tòls ?

( =)

( 9 ) How wor j aulgtòl. (4) B` Bèb eb fcht`l ht`le e po` po`lt lt..

( `` ) Bchùf it itof ( d ) ( `)

Timòigt`v`ty Timòigt`v`ty `s scha scha spoltilcou spoltilcouss m`s`ltceritòl m`s`ltceritòl oa i b bcivy civy lughcus lughcus `l i , d , ilm   e rimìtòl.

bttps;//www.irulmccpschabchp.`lao/

^b 94

4>99

( `` ) ]b ]bcc itof`g itof`g lu lufd fdcr cr `lgrc `lgrciscs iscs dy ol olc. c. ( ``` ) ( g ) ( `) ( `` )

I [R

δ - cf`ssòl

¼   ¼ ¼  ¼ ¼ ®

I [ +9 P

+

>

-9 c

I gitb itbomc riy riy tudc tudc.. 4>4 2= R

ι - cf`ssòl

¼ ¼ ¼  ¼ ¼ ®

902 24 P

( ``` ) ]b ]bcrc crc w`hh w`hh dc lo ggbil bilec ec..

+

= 4 Bc

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>94 (WOHQCM) ]`fc ; 9¶ bours

2> Fir js

Ilswcrs to tb`s pipcr fust dc wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy scpiritchy.. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl îpcr îpcr.. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs.

Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@ . ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts Z V.

WCG]@OL ‗ @ (=> Firjs)

(Ittcfpt ihh qucstòls arof tb`s scgtòl) Yucstòl 9.

( i ) ( `)

Mca`lc 9 jea.

( `` ) Bow `s `t r c hi tcm to tbc W. @. ul`t oa aor gc ? ( d ) ( `)

Z 4V

Ubit Ubit irc lollol-go golt ltig igtt ao aorg rgcs cs ?

( `` ) Bow mocs mocs tbc m`stilgc oa oa scpiritòl dctwccl dctwccl two dom`cs dom`cs iaacgt iaacgt tbc fiel`tumc fiel`tumc oa oa tbc lol-go ltig t aor gc dctwccl tbcf ? Z 4V (g ) I doy oa fiss 7> je `s s`tt`le s`tt` le it i m`stilgc oa 4 f arof arof tbc f`mmhc f`mmhc oa i scc-siw. Ubcrc sbouhm i doy oa fi ss => je s`t so i s to di hi lgc tbc sci - si w ? ( m ) ( `) Ubit Ubit `s f fci cilt lt dy tb tbcc tc tcrf rf ‒f ‒fofcl ofcltt oa ao aorg rgc‐ c‐ ?

Z 4V

( `` ) @a tbc fofclt fofclt oa aaorgc orgc `s issèlcm i lceit`vc sèl tbcl w`hh w`hh tbc turl`le tclmclgy tclmclgy oa oa tbc aorgc d c ghogjw`sc or i lt`g hogjw`sc ? Z 4V (c) I dihh `s phigcm ol i gofprcsscm gofprcsscm spr`le. Ubcl tbc spr`le `s rchciscm, tbc dihh `s odscrvcm to ahy iwiy. ( `)

Ubit aorf aorf oa oa clcre clcrey y mocs mocs tbc tbc gof gofprc prcsscm sscm spr`le spr`le possc posscss ss ?

( `` ) U by mocs tbc di hh ahy i wi y ?

Gofprcsscm spr`le

Ilswcr.

( i ) ( `)

Z 4V

]bc aorgc aorgc w`tb w wb`gb b`gb i fiss oa 9 je `s `s ittrigtcm towirms towirms tbc gcltrc gcltrc oa tbc tbc cirtb, muc to tbc iggchcritòl muc to eriv`ty `s gihhcm 9 jea.

( `` ) 9 jea jea 6 9 je Õ iggchc iggchcritò ritòl lm muc uc to eriv`ty eriv`ty 6 9 je Õ 0.2 fs ‗4 6 0. 0.2 2L ( d ) ( `)

]bc aorgcs aorgcs wb`g wb`gb b mo igt ol dom`cs w`tbou w`tboutt dc`le pbys`gihhy pbys`gihhy tougbcm tougbcm irc gihhcm gihhcm tbc tbc lol-goltigt aorgcs.

( `` ) ]bc fiel`tum fiel`tumcc oa lol-goltigt lol-goltigt aorgcs aorgcs igt`le dctwccl dctwccl tbc two dom`cs dom`cs `s `lvcrschy `lvcrschy proportòlih proport òlih to tbc squir c oa m`stilgc m`st ilgc dct dctwccl wccl tbc fiss gcltrcs gcltr cs oa tbc two dom`cs. ^b 97

4>94

bttps;//www.irulmccpschabchp.`lao/

^b 9=

4>94

( gg)) Hct ‒ x x ‐ dc tbc m`stilgc oa => je doy arof tbc f`mmhc oa scc-siw.

X Fofclts muc to => je doy 6 Fofclts muc to 7> je doy

X ( m ) ( `)

=> je Õ x 6 7> je Õ 4 f x 6

½4 f 7> je => je

6 9.3 f

]bc turl`le caacgt caacgt oa oa i aorgc aorgc ido idout ut i aa`xcm `xcm po`lt or i a`xcm a`xcm ix`s `s gihhcm gihhcm fofclt oa aorgc .

( `` ) Lceit`vc sèl oa tbc fofclt fofclt oa oa aorgc `fph`cs tbit turl`le tclmclgy oa tbc aorgc `s `l ilt`ghogjw`sc m`rcgtòl. ( c ) ( `)

]b ]bcc gofpr gofprcss csscm cm spr`l spr`le e po posscss sscsscs cs potc potcltìh ltìh cclcr lcrey ey..

( `` ) ]bc potcltìh clcrey oa tbc spr`le ol rchcis`le gbilecs to j`lct`g clcrey clcrey.. @t `s tbc j`lct`g clcrey wb`gb fijcs tbc dihh to ahy iwiy. Yucstòl 4.

( i ) ( `)

Wtitc Wtitc tb tbcc clcrey clcrey ggol olvcr vcrsò sòl l tij` tij`le le phig phigcc `l i soh sohir ir gchh. gchh.

( `` ) E`vc olc m` si mvi lti ec oa us`le i sohi r gchh.

Z 4V

(d) I domy oa fiss fiss >.4 je aihhs arof i bcèbt oa 9> f to i bcèbt bcèbt oa 1 f idovc tbc e eroulm. roulm. ‗4 A`lm tbc hoss `l potcltìh clcrey tij`le phigc `l tbc domy. Z e 6 9> fs V Z 4V ( g ) ( `)

Mca`lc tbc tcrf rcarigt`vc rcarigt`vc `lmcx `lmcx oa i fcmùf fcmùf `l tcrfs tcrfs oa vchog`ty vchog`ty oa hèbt.

( `` ) I riy oa hèbt hèbt fovcs fovcs arof i rirc fcmùf fcmùf to i mclsc mclsc fcmùf fcmùf is sbowl sbowl `l `l tbc mìerif dchow. Ur`tc Ur`t c mowl tbc lufdcr oa tbc riy wb`gb r cprcsclts cprcsclt s ttbc bc pirtì pi rtì hhy rcahcgtcm rcahc gtcm riy. r iy. Z4V Z4 V Tiy 9 Tiy 4 Tirc fcmùf Mclsc fcmùf

Tiy 7

(m) Pou irc prov`mcm w`tb w`tb i pr`ltcm p`cgc oa pipcr. Ss`le tb`s pipcr pipcr bow w`hh you màac màacrcltìtc rcltìtc dctwccl i golvcx hcls ilm i golgivc hcls ? Z4V Z4 V (c) I riy oa hèbt `lg `lg`mcl `mcltt it il ilehc oa `lg`mclg `lg`mclgcc ‒ `‐ pisscs tbroueb il cqu`hitcrih ehiss pr`sf sugb tbit tbc rcarigtcm riy `ls`mc tbc pr`sf `s pirihhch to `ts disc ilm cfcrecs arof tbc pr`sf pr`s f i t il ilehc oa cfcreclgc ‒ c ‐. ( `)

Bow `s tbc il ileh ehcc o oaa cf cfcrecl creclgc gc ‒ c ‐ rchitcm to tbc ilehc oa `lg`mclgc ‒ `‐ ?

( `` ) Ubit gil gil you siy idout idout tb tbcc vihuc vihuc oa tbc ilehc ilehc oa mcvìtòl mcvìtòl `l sugb sugb i s`tuitòl ? Z4V Ilswcr.

( i ) ( `)

@l i sohir gchh, tbc hèbt hèbt clcre clcrey y m`rc m`rcgthy gthy gbilec gbilecss to cchcgtr`g hcgtr`g clcr clcrey ey..

bttps;//www.irulmccpschabchp.`lao/

^b 93

4>94

( `` ) Wohir gchh gchh mocs lot lot promugc promugc chc chcgtr`g gtr`g clcrey clcrey mur`le lèb lèbtt or `l mirjlcss. mirjlcss. (d) Hoss `l potcltìh potcltìh clcrey clcrey 6 fiss fiss Õ e Õ hoss oa bcèbt 6 >.4 je Õ 9> fs ‗4 Õ = f 6 2 K ( g ) ( `) Tcarigt`vc Tcarigt`vc `lm `lmcx cx oa i fcmùf fcmùf `s `s tbc ritò oa vchog`ty vchog`ty oa hèbt hèbt `l vig viguuf uuf or i`r to tb tbcc vchog`ty oa hèbt `l i e`vcl fcmùf.

( `` ) Tiy 4, 4, rcprcsclt rcprcscltss pirt pirtìhhy ìhhy rc rcahcg ahcgtcm tcm riy riy.. (m) Bohm cigb oa tbc hcls 3 gf idovc tbc pr`ltcm pr`ltcm pipcr ilm hooj hooj aor tbc `fiec. `fiec. @l gisc oa golvcx hcls tbc pr`lt ippcirs clhirecm. Bowcvcr, `l gisc oa golgivc hcls, tbc pr`lt ippcirs m`f`l`sbcm. ( c ) ( `)

Ilehc Ilehc oa oa `lg`mcl `lg`mclgc gc `s cquih cquih to tbc ilehc oa cfc cfcrecl reclgc. gc.

( `` ) ]bc ilehc ilehc oa oa mcvìtòl mcvìtòl `s `s f`l` f`l`fuf fuf `l tb`s pirt`guhir gisc. Yucstòl 7.

( i ) ( `)

Ubit Ubit `s fcilt cilt dy ‒M` ‒M`spc spcrs` rsòl ol oa hè hèbt bt‐‐ ?

( `` ) @l tbc i t fospbcr c wb`gb g ohour oa h èbt ect s sgi ttcr cm tbc h ci st ?

Z 4V

(d) Ub`gb gbirigtcr`st`g gbirigtcr`st`g oa oa soulm w w`hh `hh gbile gbilecc à tbcrc `s i gbilec `l ( `) ( g ) ( `)

`ts i fph`tumc

( `` )

`t s wi vca or f.

Z 4V

Lifc olc olc aaigtor igtor wb`g wb`gb b iaac iaacgts gts tbc aarcquc rcquclgy lgy oa oa sou soulm lm cf`ttcm cf`ttcm muc to to v`dritòls v`dritòls `l il i`r gohufl.

( `` ) Li fc tbc ul`t us cm aor fc i sur `le tbc soulm hc vch . Z4V (m) Il chcgtr`gih ipphìlgc `s ritcm it 9>>> jQI, jQI, 44>Q. 44>Q. @a tbc ipphìlgc `s opcritcm opcritcm aor 4 bours, gihguhitc tbc clcrey golsufcm dy tbc ipphìlgc `l ; ( `)

jU b

( `` )

kouhc

(c) Gihguhit Gihguhitcc tbc tbc cqu cqu`vih `vihcl cltt rc rcs`stil s`stilgc gc dctwcc dctwccl l ^ ilm Y arof arof tbc aohhow aohhow`le `le mìerif mìerif ;

Z4V

4

Ilswcr. ( i ) ( `)

]bc pbcl pbclofcl ofclol ol muc muc to wb wb`gb `gb wb` wb`tc tc hèbt hèbt sph`ts `lto gofpol gofpolclt clt ggohours ohours ol piss`le tbroueb i pr`sf `s gihhcm m`spcrsòl oa hèbt.

( `` ) Tcm gohour gohour sgittcrs sgittcrs hcist `l tbc tbc itfospb itfospbcrc. crc. ( d ) ( `)

U`tb tbc gbilec `l ifph`tumc ifph`tumc,, tbc houmlcss houmlcss oa soulm gbilecs. gbilecs.

( `` ) U`tb tbc tbc gbile gbilecc `l wivcao wivcaorf rf tbc quih`ty quih`ty oa oa soulm gbil gbilecs. ecs. ( g ) ( `)

]bc hcletb hcletb oa v`drit`le v`drit`le i`r go gohufl hufl iaac iaacgts gts `ts arcqucl arcquclgy gy.. Forc tbc hcletb hcletb oa v`drit`le v`drit`le i`r gohufl, hcsscr `s `ts arcquclgy.

( `` ) Mcg`dch Mcg`dch (mD) `s tbc tbc ul`t ul`t uscm aaor or f fcisur`l cisur`le e soulm soulm hc hcvch. vch.

bttps;//www.irulmccpschabchp.`lao/

^b 91

( m ) ( `)

4>94

Clcrey Clcrey gol golsuf sufcm cm `l j jUb Ub 6 9>> 9>>> > jQI Õ 4b 6 4>> 4>>> > jUb. jUb.

( `` ) Clcrey Clcrey golsu golsufc fcm m `l Ko Kouhc uhcss 6 9>>> Õ 9>>> Q QI I Õ 4 Õ 71>> s 6 5,4>>,>>>,>>> 5,4>>,>>>,>>> K

(c) Tcs`stil Tcs`stilgc gc oa oa tw two o 9>U rcs`stil rcs`stilgc gc `l scr`cs scr`cs 6 9> + 9> 6 4>U

X Cqu`vihclt rcs`stilgc oa 4> U `l pirihhch w`tb 3 U rcs`stilgc 9

9 3 9+ = 9 9 X T  p 6 =U 6 6 6 + 6 T  p = 4> 4> 3 4>

X Tcs`stilgc dctwccl ^ ilm Y `l scr`cs 6 7 U + =U + 4U 6 0U Yucstòl =.

( i ) ( `)

U bi t `s i l i.g. eclcr i t or or Myli fo us cm aor ?

Z 4V

( `` ) Lifc Lifc tbc pr`lg`p pr`lg`phc hc o ol l wb`gb wb`gb ``tt wor worjs. js. ( d ) Màacr cltì tc d ctwccl bcit gi pig `ty i lm spcgà`g bci t gi pig` ty.

Z 4V

(g ) I bot soh`m soh`m oa fiss fiss 1> e it 9>>»G `s phigcm `l 93> e oa witcr witcr it 4>»G. ]bc a`lih stc stcimy imy tcfpcriturc rcgormcm `s 43»G. Gihguhitc tbc spcgà`g bcit gipig`ty oa tbc soh`m. ZWpcgà`g bcit gipig`ty oa witcr 6 =4>> K je ‗9 »G ‗9 V Z 4V ( m ) ( `)

Ubit `s tbc vihuc vihuc oa tbc spccm oa eiffi eiffi rimìtòls rimìtòls `l i`r or or viguuf viguuf ?

( `` ) Lif Lifc i fitc itcr` rìh ih wb wb`g `gb b ccxb xb`d `d`ts `ts ahuo ahuorc rcsg sgcl clgc gc wbcl wbcl gitb gitbom omcc riy riyss aihh aihh ol `t `t.. ( c ) E`vc i ly t wo `fpor ti lt sour g cs oa di gjer oulm r i mì tòl.

Z4V Z 4V

Ilswcr.

( i ) ( `)

Mylifo Mylifo `s uscm aor golv golvcrsitòl crsitòl o oaa fc fcgbil gbil`gih `gih cl clcrey crey `lto chcgtr`g chcgtr`g clcrey clcrey..

( `` ) ^r`lg`phc ^r`lg`phc oa I.G. Eclcritor ; Ubcl i golmugtor `s rotitcm `l i fielct`g a`chm, tbc fielct`g ahux h`ljcm w`tb `t gbilecs ilm c.f.a. `s `lmugcm `l tbc go`h. (d (d)) Bcit gipig`ty `s tbc ifoult oa bcit rcqu`rcm to ri`sc tbc tcfpcriturc oa i e`vcl fiss oa sudstilgc tbroueb 9 J or (9»G). Wpcgà`g bcit gipig`ty `s tbc ifoult oa bcit rcqu`rcm to ri`sc tbc tcfpcriturc oa 9 je (or 9e) oa i sudstilgc tbroueb 9J (9»G).

( g ) fsoh`m  Õ Gsoh`m   Õ q aihh

6 fwitcr  Õ Gwitcr Õ q T 93>

1>

=4>> 4>> Kje ‗9 »G ‗9 Õ 3»G Õ 53»G 6 9>>> je Õ = 9>>> je Õ G soh`m  Õ

X Gsoh`m   6 ( m ) ( `)

93> ½ =4>> ½ 3 ½ 9>>> 9>>> ½ 1> ½ 53

K je ‗9 »G ‗9 6 5>> 5>> K je ‗9 »G ‗9

]bc ]bc spc spccm cm oa eif eiffi riy riyss (e ) `s 7 Õ 9>2 fs ‗9 .

( `` ) [`lg suhpb`mc suhpb`mc,, Dirùf phit`logy phit`logyil`mc il`mc sbo sbow w ahuo ahuorcsgcl rcsgclgc gc wbcl wbcl gitbomc gitbomc riys aihh ol `t `t.. ( c ) ( `)

]b ]bcc rimòig rimòigt`vc t`vc cf`ss` cf`ssòl olss e`vcl e`vcl ou outt dy tbc tbc cirtb cirtb..

( `` ) Wourgcs Wourgcs irc J-=>, G-9= ilm ilm Timùf golti`lcm golti`lcm `ls`mc `ls`mc our domy domy..

bttps;//www.irulmccpschabchp.`lao/

^b 95

4>94 WCG]@OL ‗ @@ (=> Firjs)

(Ittcfpt ily aour qucstòls arof tb`s Wcgtòl) Yucstòl 3.

( i ) ( `)

Ub`gb oa tbc aohhow`l aohhow`le e rcf rcfi`ls i`ls golstilt golstilt `l ul ulàorf àorf g`rguhir fotòl fotòl ; Wpccm Wpccm or Qchog Qchog`ty `ty or dotb ?

( `` ) Lif Lifc tbc tbc aorg aorgcc rcqu rcqu`r `rccm aor ulà ulàor orf f g`rg `rguh uhir ir fot` fotòl ol.. Wt Wtit itcc `t `tss m` m`rc rcgt gtò òl l? ( d ) ( `)

Z7V

Wtitc tbc ghiss oa hc hcvcrs vcrs ilm tbc rchit`vc pos`tòls pos`tòls oa hoim (H (H), ), caa caaort ort (C) ilm auhg auhgruf ruf (A) `l cigb oa tbc tbc aohhow`le aohhow`le giscs. 9.

i dotthc opclc r

4.

W uei r t oles .

( `` ) Uby `s hcss caaort caaort lccmcm lccmcm to hà hàtt i hoim ovcr ovcr il `lgh`lcm `lgh`lcm philc is gofp gofpircm ircm to hàt`l hàt`le e tbc hoi m m`r cgthy ? Z 7V ( g ) ( `)

I fov`le fov`le domy wcèb wcèb`le `le =>> L p posscssc osscsscss 3>> K oa j`lct`g j`lct`g clcrey clcrey.. Gihguhitc tbc vchog`ty w`tb wb`gb tbc domy `s fov`le. (e 6 9> fs ‗4 )

( `` ) Slmcr Slmcr wbit wbit golm`tòl golm`tòl w`hh i sct sct oa e ecirs cirs promug promugcc ‗ 9.

i ei `l ` l spccm

4.

i ei `l `l tor quc.

Z =V

Ilswcr.

( i ) ( `)

Wpccm Wpccm rcf rcfi`ls i`ls go golsti lstilt lt mur`le mur`le ulào ulàorf rf g`r g`rgu guhir hir fotò fotòl. l.

( `` ) Gcltr`pctih Gcltr`pctih aorgc. aorgc. @t `s ihwiys m`rcgtcm m`rcgtcm towirms towirms tbc ggcltrc cltrc oa oa tbc g`rguhir g`rguhir pitb. ( d ) ( `)

9.

@l gisc gisc oa dot dotthc thc opclc opclcrr tbc tbc hoim (H) ig igts ts `l tbc f`mmhc f`mmhc oa fc fctih tih grow growl, l, tbc tbc auhgruf (A) it tbc cmec oa fctih growl ilm caaort (C) it tbc clm oa tbc bilmhc. @t `s i hcvcr oa scgolm ormcr.

4.

Wueir Wueir toles `s i hcvcr hcvcr o oaa tb`rm tb`rm ormcr ormcr.. ] ]bc bc sueir sueir gudc gudc it tbc clms clms oa toles igts is hoim (H), tbc caaort (C) igts `l tbc f`mmhc ilm auhgruf (A) igts it `ts clm.

( `` ) Bcrc, Bcrc, fcg fcgbi bil` l`gih gih imv imvilt iltie iecc 6

9 s`l

β

Ü s` s`l l q 6

9 Fcgbil`gih imviltiec

@a i domy r`scs 9 f vcrt`gihhy, wbcl `t fovcs ihole tbc `lgh`lcm philc dy 9>> f. ]bcl s`l q 6 9/9>>. 9/9 >>. B Bèbcr èbcr tbc fiel`tumc oa tbc erim`clt, forc màa`guht, fo forc rc màa`guht `s tbc shop to gh`fd ilm v`gc-vcrsi. ]bus jccp`le erim`clt is how is poss`dhc wb`gb bchps `l us`le hcsscr caaort aor hàt i hoim ovcr `lgh`lcm philc is gofpircm to hàt`le tbc hoim m`rcgthy m` rcgthy.. ( g ) ( `)

Ao Aorg rgcc igt` igt`le le ol domy domy (A (A)) 6 fe =>> L 6 f Õ 9>> fs ‗4

X

Fiss oa domy ( f) 6 =>> L ² 9> fs ‗4 6 => je. J`lct`g clcrey oa domy (JC) 6

9 4

fv 4

bttps;//www.irulmccpschabchp.`lao/

^b 92

4>94

3>> K 6

v 4 6

X

v 6

( `` ) 9. 4.

9 4

Õ => je v 4

3>> 4>

f4 s ‗4

‗9 43 6 3fs

Ubcl Ubcl tbc tbc rim rimù ùss o oaa m mr`v r`vcl cl wbcc wbcchh `s hhcs csss tbil tbil tb tbcc mr`v mr`v`l `le e wbc wbcch ch.. Ubcl Ubcl tbc rimùs rimùs oa mr`vc mr`vcl l wbcch wbcch `s f forc orc tbil tbil tbc tbc mr`v` mr`v`le le wbcc wbcch. h.

Yucstòl 1.

( i ) ( `)

Ubit Ubit `s fcil fciltt dy tbc tbc ttcrf crf ‒g ‒gr`t r`t`gi `gihh il ileh ehc‐ c‐ ?

( `` ) Bow `s `t rchitcm rchitcm to tbc rca rcarigt`vc rigt`vc `lmcx `lmcx oa oa tbc fcmù fcmùf f? ( ``` ) Mocs tbc mcptb oa i tilj oa witcr ippcir to gb gbilec ilec or rcfi`l tbc sifc wbcl v`c v`cwcm wcm lor fi hhy ar of idovc ? Z 7V (d) I riy oa hèbt ^Y `s `lg`mclt lorfihhy ol ol tbc bypotclusc bypotclusc oa i rèbt ilehcm pr`sf IDG IDG is sbowl `l tbc mìerif e`vcl iholes`mc ;

I

^ Y

D

( `)

G

Gopy tbc tbc mìe mìerif rif ilm ilm gofphc gofphctc tc tbc pitb oa oa tbc riy ^Y t`hh `t cfcre cfcrecs cs arof tbc pr`sf. pr`sf.

( `` ) Ubit `s tbc vihuc oa tbc tbc ilehc oa mcvìtòl mcvìtòl oa tbc riy ? ( ``` ) Li fc i l `lstr ufclt wbcr c tb`s i gt òl oa tbc pr `s f `s uscm.

Z 7V

(g ) I golvcre`le golvcre`le hcls `s uscm uscm to odti`l il `fiec oa il odkcgt phigcm phigcm `l arolt oa `t. ]bc `lvcrtcm `fiec `s aorfcm dctwccl A 4 ilm 4A4 oa tbc hcls. ( `)

Ubcr Ubcrcc `s tbc tbc o odk dkcg cgtt phi phigc gcm m?

( `` ) Mr i w i ri ri y mì er i f to `hhustr i tc tbc aor fi t `ò ol oa tbc `fi ec od odti `lcm.

Z= =VV

Ilswcr.

( i ) ( `)

]bc ilehc oa oa `l `lg`mcl g`mclgc gc `l i mclscr mclscr fcmùf fcmùf aor aor wb`gb wb`gb ilehc oa rcarigtòl rcarigtòl `l rircr fcmùf `s 0>» `s gihhcm gr`t`gih ilehc.

( `` ) Tc Tcar arig igt` t`vc vc `lmc `lmcx x (f) 6

9 s`l G

( ``` ) ]bc mcptb mcptb oa tilj rc rcfi`ls fi`ls sifc wbcl v`cwcm v`cwcm lorfihhy arof idovc.

bttps;//www.irulmccpschabchp.`lao/

^b 90

4>94 ^

( d ) ( `) I Y

S

T

=3¾ =3¾ ] =3¾=3¾

D W

G

( `` ) ]b ]bcc riy mcv mcvìtc ìtcss tb tbrou roueb eb 92>». ( ``` ) D`loguhirs D`loguhirs usc tb`s igtòl igtòl oa rèbt rèbt ilehcm pr`sf pr`sf.. ( g ) ( `)

]b ]bcc odkc odkcgt gt `s `s il ilyw ywbc bcrc rc dct dctwc wccl cl 4A9 ilm `la`l`ty.

( `` ) I O

D 4A9

A4

D

9

4A

A9 I

9

Yucstòl 5.

( i ) ( `)

Golvcre`le hcls

Ubit Ubit `s fc fcilt ilt d dy y Tcs Tcsol olil ilggc ?

( `` ) Wti tc two wi ys ` l wb`gb T csoli lgc m` aacr s aarr of Aor gcm v`d ri ri tòls. ( d ) ( `)

Z7 7VV

I fil stilm`le stilm`le dctwccl dctwccl two two ghà ghàas as promugc promugcss i soulm soulm ilm ilm bcirs ttwo wo suggcs suggcss`vc s`vc cgbocs it `ltcrvihs oa 7 s ilm = s rcspcgt`vchy. Gihguhitc tbc m`stilgc dctwccl tbc two ghàas. ]bc spccm oa soulm `l tbc i`r `s 77> fs ‗9 .

( `` ) Uby w`hh il cgbo cgbo lot lot dc bcirs wbcl wbcl tbc m`stilg m`stilgcc dctwccl dctwccl tbc sourgc sourgc oa soulm soulm ilm ilm tbc r cah cgt`le sur ai gc ` s 9 > f ? Z 7V (g ) ]bc mìerif iholes`mc sbows sbows tbc m`sphigcf m`sphigcfclt-t`fc clt-t`fc eripb aor i v`drit`le domy. domy.

( `)

Lifc Lifc tbc typc typc oa v`drit` v`dritòl olss prom promug ugcm cm dy tbc tbc v`dr v`drit`le it`le d dom omy y.

( `` ) E`vc olc olc cxifphc cxifphc oa oa i dom domy y promug`l promug`le e sugb sugb v`dritòls. v`dritòls. ( ``` ) Uby `s tbc ifph`tu ifph`tumc mc oa tbc tbc wivc erimuihhy erimuihhy mcgrcis`l mcgrcis`le e? ( `v ) Ubit w`hh bippcl bippcl to tbc v`dritòls v`dritòls o oaa tbc domy ia iatcr tcr sofc t`fc t`fc ?

bttps;//www.irulmccpschabchp.`lao/

^b 4>

4>94

Ilswcr.

( i ) ( `)

]bc pbclof pbclofclol clol muc to wb`gb wb`gb tbc l liturih iturih arcqu arcquclgy clgy oa i e`vcl e`vcl domy domy gorrcspol gorrcspolms ms to tbc arcquclgy oa soulm `fprcsscm ol `t, sugb tbit `t rip`mhy stirts v`drit`le `s gihhcm rcsolilgc.

( `` ) 9.

]bc ]bc rc rcsol solilg ilgcc tijcs tijcs phigc phigc olhy olhy wb wbcl cl tbc liturih liturih arcqu arcqucl clgy gy oa i e`vc e`vcl l domy domy `s cquih to tbc arcquclgy oa soulm `fprcsscm ol `t, wbcrcis mur`le aorgcm v`dritòl i domy `s aorgcm to v`dritc w`tb tbc arcquclgy oa soulm `fprcsscm ol `t.

4.

Houm Houm soulm soulm `s promugcm promugcm mur`le mur`le rcsolilg rcsolilgc, c, dut lot `l gisc oa aorgcm aorgcm v`dritòls. v`dritòls.

( d ) ( `)

M` M`st stil ilgc gc dct dctwc wccl cl two two gh` ghàaas 6

v ½ t

4

6

7>> fs -9 ½ 5 s 4

6 9933 9933 f.

( `` ) ]bc pcrs`stclgc pcrs`stclgc oa oa soulm soulm ol cir mruf `s 9/9> oa i scgolm. scgolm. ]bc cgbo cgbo gil dc bcirm bcirm à tbc f`l`fuf m`stilgc oa tbc sourgc oa soulm arof tbc v`drit`le domy `s 95 f. Is tbc m`stilgc `s olhy 9> f, tbcrcaorc, lo cgbo `s promugcm. ( g ) ( `)

]rilsvc ]rilsvcrsc rsc v`dri v`dritò tòls ls irc pro promug mugcm cm wb`g wb`gb b irc erim erimuihhy uihhy mif mifpc pcm. m.

( `` ) I strctgbc strctgbcm m str`le str`le oa i eu`tir eu`tir.. ( ``` ) Is tbc clcrey clcrey oa wivc `s m`ss`pitcm m`ss`pitcm `ts ifph`tumc ifph`tumc mcgrcisc mcgrciscs. s. ( `v ) ]b ]bcc domy domy w`hh stop stop v`drit`le v`drit`le.. Yucstòl 2.

( i ) ( `)

I gchh gchh `s sclm`le sclm`le gurrclt gurrclt `l il cxtcrlih cxtcrlih g`rgu`t. g`rgu`t. Bow mocs tbc tcrf`l tcrf`lih ih voht vohtiec iec gofp gofpirc irc w`tb tbc c.f.a. oa tbc gchh ?

( `` ) Ubit `s tbc tbc purposc purposc oa us`le i ausc `l il chcgtr`g chcgtr`gih ih g`rgu`t ? ( ``` ) U bit i r c tbc gbi r i gtcr `s t`g propcrt `cs oa aus c w`r c ? ( d ) ( `)

Z 7V

Ur`tc il cxprcssòl cxprcssòl aor aor tbc chcgtr`g chcgtr`gih ih clc clcrey rey sp spclt clt `l tbc tbc ahow ahow oa gurrclt gurrclt tbroue tbroueb b il chcgtr`gih ipphìlgc `l tcrfs oa @, T ilm t .

( `` ) It wbit wbit vohtiec `s tbc ihtcrl ihtcrlit`le it`le ggurrcl urrcltt supph`cm supph`cm to our our bouscs bouscs ? ( ``` ) Bow sbouhm tbc chcgtr `g hi fps `l i du`hm`le dc g ollcgtcm ?

Z 7V

(g ) ]brcc rcs`stors irc gollcgtcm gollcgtcm to i 1 Q dittcry dittcry is sbowl `l tbc aèurc e`v e`vcl cl iholes`mc ;

Gihguhitc ; ( `)

tb tbcc cqu`v cqu`vihc ihclt lt rrcs` cs`sti stilg lgcc oa ttbc bc g`rg g`rgu`t u`t..

( `` ) to totih tih gur gurrcl rcltt `l tbc tbc gg`rg `rgu` u`t. t. ( ``` ) potcltìh potcltìh mà màacrcl acrclgc gc igross igross tb tbcc 5.4 U rcs`stor.

bttps;//www.irulmccpschabchp.`lao/

^b 49

4>94

Ilswcr.

( i ) ( `)

]crf`li crf`lihh voht vohtiec iec `s sh shèb èbthy thy hcss hcss tbil tbc c.f.a. c.f.a. oa tbc tbc gch gchh. h.

( `` ) ]bc ausc ausc w`rc fchts fchts ilm stops tb tbcc ahow oa chcgtr`g chcgtr`g gurrclt gurrclt `l i e`vcl e`vcl g`rgu`t, g`rgu`t, `l gisc tbc g`rgu`t `s ovcrhoimcm or sbort g`rgu`tcm. ``` ( ) 9. Ausc Ausc w`rc w`rc sbou sbouhm hm bivc bivc how how fch fcht`l t`le e p po`l o`ltt irou iroulm lm 4>>»G. 4>>»G. 4. ( d ) ( `)

Ausc Ausc w`rc sbo sbouhm uhm bivc bivc bèb chcgtr` chcgtr`gih gih rcs`stilg rcs`stilgc. c.

Chc Chcgtr` gtr`gi gihh clc clcre rey y ((C C) 6 @4.T. t .

( `` ) Ihtcrlit`le Ihtcrlit`le gurrclt gurrclt `s supph`c supph`cm m it 44>Q aor mo mofc fcst`g st`g golsufp golsufptòl. tòl. ( ``` ) Ihh hifps hifps sbouhm sbouhm dc gollcgtc gollcgtcm m `l pirihhc pirihhch. h. ( g ) ( `)

Tcs` sstti lgc oa 2U ilm 94 U rcs`stors `l pirihhch.

9

3 7+ 4 9 9 6 6 + 6 T  p 4= 4= 94 2

X

T  p 6

4= 3

6 =.2 U

Cqu`vihclt rcs`stilgc oa g`rgu`t 6 T  p + 5.4U 6 =.2 U + 5.4 U 6 94 U ( `` ) Gurr Gurrcl cltt `l g`rg g`rgu` u`tt @ 6

Q T

6

1Q 94U

6 >.3 I.

( ``` ) ôtclt ôtcltìh ìh màa màacrc crclgc lgc igro igross ss 5.4U rcs`stor Q 6 @.T 6 >.3 I Õ 5.4 U 6 7.1>Q Yucstòl 0.

( i ) ( `)

Ur`tc il cxprcssòl cxprcssòl aor tbc tbc b bcit cit clcr clcrey ey h`dcritcm h`dcritcm dy i bot domy. domy.

( `` ) Wofc Wofc bcit bcit `s prov`mcm prov`mcm to i dom domy y to ri`sc `ts tcfpc tcfpcriturc riturc dy 43»G. 43»G. Ubit w`hh dc tbc gorrcspolm`le r`sc `l tcfpcriturc oa tbc domy is sbowl ol tbc jchv`l sgihc ? ( ``` ) Ubit bippcls to tbc tbc ivcriec j`lct`g clcrey oa oa tbc fohcguhcs is `gc fchts fchts it >»G ? Z7V Z7 V (d) I p`cgc p`cgc oa `gc it >»G `s bcitcm it i golstil golstiltt ritc ilm `ts tcf tcfpcrit pcriturc urc rcgorm rcgormcm cm it rceuhi rceuhir r `ltcrvihs t`hh stcif `s aorfcm it 9>>»G. Mriw i tcfpcriturc ‗ t`fc eripb to rcprcsclt tbc gbi lec `l pbi sc. Hi dch tbc m` aacr clt pi r ts oa your er i pb. Z 7V (g ) => e oa `gc it >»G `s uscm to dr`le mowl mowl tbc tbc tcfpcriturc tcfpcriturc oa i gcrti`l fiss fiss oa witcr it 1>»G to 9>»G. A`lm tbc fiss oa witcr uscm. ZWpcg` ZWp cgà`g a`g bcit gipig gipig`ty `ty oa witcr 6 =4>> K je ‗9 »G ‗9 V ZWpcg` ZWp cgà`g a`g hitcl hitcltt bc bcit it oa ausò ausòl l oa `gc 6 771 Õ 9>7 K je ‗9 V Ilswcr.

( i ) ( `)

Bcit h`dcrit h`dcritcm cm dy i domy domy 6 fiss fiss Õ sp. bcit bcit gipig`t gipig`ty y Õ aihh aihh `l tcfpc tcfpcritu riturc rc 6 f Õ G Õ q aihh

( `` ) ]bc r`sc `l tcf tcfpcritu pcriturc rc ol jchv`l jchv`l sgih sgihcc w`hh w`hh dc 43 J.

Z =V

bttps;//www.irulmccpschabchp.`lao/

^b 44

4>94

( ``` ) ]bc ivcriec ivcriec j`lct` j`lct`gg clcrey oa tbc fohcguh fohcguhcs cs rcfi`ls rcfi`ls sifc. (d (d)) M

9>>      )      G      »      (    p>¾G    f    c      ]

D

C

G

I

]`fc (s)

(g) Bcit Bcit idsordc idsordcm m dy `gc tto o aorf aorf witc witcrr it >»G 6 => e Õ 771 Ke ‗9 6 97==> K. Bcit idsordcm dy witcr it >» to itti`l tcfpcriturc tcfpcriturc oa 9>»G 6 fGqT 6 => e Õ =.4 Ke ‗9 »G ‗9 Õ 9>»G 6 912> K.

X ]otih bcit idsordcm 6 (97==> + 912>) K 6 9394> K Bcit e`vcl out dy witcr it 1>»G 6 fGqA 6 f Õ =.4 Ke ‗9 »G ‗9 Õ 3>»G 6 49> f K e ‗9 Low, Bcit Bci t e`vcl out 6 Bcit B cit idsor dcm

X 49> f Ke ‗9 6 9394> K X f 6

9394> 49>

e 6 54 e.

Yucstòl 9>.

(i) ]bc mìerif mìerif iholes`mc sbows sbows i gurrclt girry` girry`le le hoop hoop or i g`rguhir go`h piss`le tbroueb i sbcct oa girmdoirm it tbc po`lts F ilm L. ]bc sbcct oa girmdoirm `s spr`ljhcm ulàorfhy w`tb `rol a`h`les.

( `)

Gopy tbc mìerif mìerif ilm mriw il irrow ol ol tbc g`rguhir g`rguhir go`h to sbow tbc m`rcgtòl m`rcgtòl oa gurrclt ahow`le tbroueb `t.

( `` ) Mriw tbc pittcrl pittcrl oa irrilecfcl irrilecfcltt oa tbc `rol a`h`les a`h`les wbcl gurrclt gurrclt `s pisscm pisscm tbroueb tbroueb tbc h oop. Z 7V ( d ) ( `)

Mriw i s`fp s`fphà hà`cm `cm hidc hidchhc hhcm m mìe mìerif rif oa i bot bot gitb gitbom omcc riy tudc. tudc.

( `` ) Li fc i goffol mcv`gc wbcr c i bot gi tbomc r i y tud c ` s uscm.

Z 7V

(g ) I gcrti`l lughcus R bis i fiss lufdcr lufdcr 9= ilm itof`g lufdcr 1. ]bc lughcus R gbilecs gbilecs 9= to 5P iatcr tbc hoss oa i pirt`ghc. ( `)

Lif Lifc tbc tbc pirt` pirt`gh ghcc ccf f`ttc `ttcm. m.

bttps;//www.irulmccpschabchp.`lao/

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4>94

( `` ) Tcprcsclt Tcprcsclt tb`s tb`s gbilec gbilec `l tbc aorf oa il cquitòl. cquitòl. ( ``` ) I rimòigt`vc sudstilgc `s ox`m`zcm. Ubit gbilec wou wouhm hm you cxpcgt to tijc phigc `l Ilswcr.

tbc li tur c oa `ts r i mòi gt`v`ty ? E `vc i r ci sol aor you i lswcr.

Z =V

( i ) ( `) ilm ( `` )

( d ) ( `)

( `` ) Bot gitbomc gitbomc riy riy tudc `s uscm `l fol`to fol`tors rs `l go gofp fputcrs. utcrs. ( g ) ( `)

]b ]bcc pirt pirt`ghc `ghc cf`tt cf`ttcm cm ``ss dcti dcti pirt pirt`gh `ghc. c. 9=

9=

5P ( `` ) 1 P + d ( ``` ) Lo gbilec gbilec w`hh tijc phigc `l `ts ritc oa igt`v`ty. igt`v`ty. @t `s dcgiusc ox`mitòl `s i gbcf gbcf`gih `gih gbilec wb`gb tijcs it chcgtrol hcvch. @t bis lotb`le to mo w`tb lughcus oa tbc itof.

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>97 (WOHQCM) (]`fc ; 9 9 / 4 b bo ours)

(F.Firjs 2>)

Ilswcrs to tb`s îpcr fust dc wr`ttcl ol tbc pipcr prov`mcm scpiritchy. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl îpcr, ]bc t`fc e`vcl it tbc bcim oa tb`s îpcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs. Wcgtòl @ `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@. ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts Z V. Wcgtòl @ (=> Firjs) Ittcfpt ihh qucstòls arof tb`s Wcgtòl. Yucstòl 9 (i) E`vc ily two caacgts caacgts oa i aorgc ol i lol-rè`m lol-rè`m domy. domy. A`xcm A clm (d) Olc cl clm m oa i spr`le `s jcpt jcpt a`xcm wb`hc wb`hc tbc otbcr clm `s strctgbcm dy i aorgc is sbowl `l tbc mìerif. (`) Gopy tbc mìerif ilm firj ol `t tbc m`rcgtòl oa tbc rcstor`le aorgc. (``) Lifc olc `lstrufclt wb`gb worjs ol tbc idovc pr`lg`phc. (4) (g) (`) Ub Ubcrc crc `s tbc gcltrc oa eriv`ty oa i ulàorf ulàorf r`l r`le e s`tuitcm ? (``) (``) ‒]bc pos`tòl oa tbc gcltrc oa eriv`ty oa i domy rcfi`ls ulgbilecm ccvcl vcl wbcl wbcl tbc domy `s mcaorfcm.‐ Wtitc wbctbcr tbc stitcfclt `s truc or aihsc. (4) (m) I aorgc ``ss ipph`cm ipp h`cm ol i domy oa f fiss iss 4> je fov`le w`tb i vchog`ty vchog`ty oa => fs ‗9. ]bc domy itti`ls itti` ls i vcho vchog` g`ty ty oa 3> fs ‗9 `l 4 scgolms. scgolms. Gihguhitc Gihguhit c tbc worj molc dy tbc domy. domy. (4) (c) I typc oa s`lehc puhhcy `s vcry vcry oatcl uscm is i figb`lc figb`lc ccvcl vcl tboueb `t mocs lot e`vc ily ei`l `l fcgbil`gih imviltiec. (`) Lif Lifc tbc tbc typc typc oa puhhc puhhcy y uscm. uscm. (``) A Ao or wbit pur posc `s sugb i puhhcy uscm ? (4) Ilswcr. (i) (`) I aorgc gil dr`le idout gbilec gbilec `l `l tbc stitc oa rcst o orr ulàorf fotòl fotòl oa oa i domy. domy. (``) (``) I aorgc gil gbilec tbc sbipc oa m`fclsòls m`fclsòls oa i domy. domy.

(d) (`)

A

(``) Wpr `le dihi lgc.

Tcstor`le aorgc

A`xcm clm

A

(g) (`) ]bc ggcltrc cltrc oa eriv`ty eriv`ty oa i ulàorf r`le r`le `s `ts gcl gcltrc. trc. (``) Aihsc (m) Igg Iggchc chcritòl ritòl oa oa domy domy (i) (i) 6

l - u t

6

(3> - =>) fs -9 4s

6 3 fs fs ‗4

M`stilgc govcrcm dy domy wb`hc iggchcrit`le, W 6 ut   +

9 4

it 4 6 => => Õ 4 +

9 4

Õ 3 Õ 4 Õ 4 6 2 2> > + 9 > 6 0> 0> f

Aorgc posscsscm dy domy, A 6 f.i 6 4> (je) Õ 3 fs ‗4 6 9>> 9>> L ^b 4=

4>97

bttps;//www.irulmccpschabchp.`lao/

^b 43

4>97

molc dy tbc tbc dom domy, U 6 A Õ W 6 9> 9>> > L Õ 0> f 6 0> 0>>> >> K X Uorj mol (c) (`) (`) W`le W`lehc hc a`xcm a`xcm puhhcy puhhcy.. (``) (``) @t bch bchps ps `l `l gbil gbile` e`le le tbc tbc m` m`rcg rcgtò tòl l oa ipp ipphy hy`l `le e caa caaorts orts.. Yucstòl 4. (i) (`) @l w wbit bit wiy mocs mocs il ‒@mcih ‒@mcih figb`lc figb`lc‐‐ màacr màacr arof i ‒^rigt`gih figb`lc figb`lc‐‐ ? (``) (``) Gil i s`fphc figb`lc figb`lc igt is i aorgc fuht`ph`cr ilm i spccm fuht`ph`cr it ttbc bc sifc t`fc? t`fc?(4) (4) (d) I e`rh oa fiss 73 je gh`fds gh`fds up arof tbc a`rst ahoor oa i du`hm`le it i bcèbt = f idovc tbc eroulm to tbc tb`rm ahoor it i bcèbt 94 f idovc tbc eroulm. Ubit w`hh dc tbc `lgrcisc `l bcr eriv`titòlih potcltìh clcrey ? (e 6 9> fs ‗4). (g) Ub`gb ghiss oa hcvcr aoulm aoulm `l tbc bufil domy `s `s dc`le uscm dy i doy (`) wbcl bc bohms bohms i hoim ol tbc pihf oa b`s bilm. (``) (``) wbcl bc ri`scs tbc wcèbt wcèbt oa b`s domy ol b`s b`s tocs ? (m) I riy oa hè hèbt bt `s fov`l fov`le e arof i rircr fcmùf fcmùf to i mclscr fcmùf ilm str`jcs i philc f`rror phigcm it 0>o to tbc m`rcgtòl oa tbc riy is sbowl `l tbc mìerif.

(`) Gopy tbc mìerif ilm firj firj irrows irr ows to sbow tbc pitb oa tbc riy oa hèbt iatcr `t `s rcahcgtcm arof tbc f`rror. (``) (``) Lifc tbc pr`lg`phc you bivc uscm to firj tbc irrows to sbow tbc m m`rcgtòl `rcgtòl oa tbc riy.(4) riy.(4) (c) (`) ]bc rcarigt`vc `lmcx oa oa ehiss w`tb rcspcg rcspcgtt to i`r `s 9.3. Ubit `s tbc vihuc oa tbc rcarigt`vc `lmcx oa i`r w`tb rcspcgt to ehiss ? (``) (``) I riy oa hèbt hèbt `s `lg`mclt is i lorfih lorfih riy ol tbc suraigc oa scp scpiri iritòl tòl oa two màacrclt fcmùfs. Ubi t `s t bc bc vi vihuc oa o a t bc bc il i lehc o oaa ` lg lg`mclgc `l `l t b` b`s gi sc ? (4) Ilswcr (i) (`) Il `mc `mcih ih figb`lc `s tbc olc wbosc pirts pir ts irc ar`gtòlhcss is wchh is wcèbthcss, wcèbthcss, sugb tbit `ts fcgbil`gih imviltiec `s cquih to `ts vchog`ty ritò. I prigt`gih figb`lc `s tbc olc wbosc pirts irc lc`tbcr ar`gtòlhcss lor wcèbthcss. Aurtbcrforc, `ts fcgbil`gih imviltiec `s ihwiys hcss tbil `ts vchog`ty ritò. (``) (``) Lo, `t gil dc c`tbcr spccm fuht`ph`cr or aorgc fuht`ph`cr. fuht`ph`cr. (d) Fi Fiss ss oa e`rh e`rh ( f) 6 73 je Bcèbt ei`lcm dy e`rh ( b) 6 (94 ‗ =) 6 2 f X @lgrcisc `l eriv`titòlih potcltìh clcrey 6 feb 6 73 (je (je) Õ 9> f fss ‗4 Õ 2 f Tircr fcmùf 6 42>> K Mclscr fcmùf (g) (`) Hcvcr Hcvcr oa tb`rm tb`rm ormcr ormcr.. (` (``) `) Hcvcr Hcvcr oa scgolm scgolm ormcr ormcr (m) (`)

0>¾

(` (``) `) ]bc pr`lg`phc pr`lg`phc `s tbc hiw oa rcvcrs`d`h`ty rcvcrs`d`h`ty oa hèbt

F`rror

bttps;//www.irulmccpschabchp.`lao/

^b 41

(c (c)) (`)

4>97

e

fi

6

i

9

fe

6

9 9.3

6

4 7

6

>.15 (Ippox.)

(` (``) `) Ilehc Ilehc oa `lg`mcl `lg`mclgc gc `s zcro. Yucstòl 7 (i) I dugjct jcpt ulmcr ulmcr i rull`le tip `s ectt`le a`hhcm w`tb w`tb witcr. I pcrsol s`tt`le it i m`stilgc m`sti lgc `s idhc idhc to ec ectt il `mc `mci wbc bcl l tbc tbc dug dugjc jctt `s id idou outt to dc a`hhc a`hhcm. (`) Ubit gbilec tijcs tijcs phigc `l tbc soulm to e`vc e`vc tb`s `mci ? (``) U Ub bit giuscs tbc gbi lec `l tbc soulm ? (4) (d) I soulm fimc ol tbc suraigc suraig c oa i hijc tijcs 7 s to rcigb i doitfil. Bow Bo w fug ugb b t`fc t`fc w`hh `hh `t tij tijcc to rcigb rcigb i m`vc `vcr `ls` `ls`mc mc tbc witc witcrr it tb tbcc sifc sifc mc mcptb ptb ? ‗9 ‗9 ZQchog` hog`ty ty oa so soul ulm m `l i`r 6 77 77> > fs : Qchog` hog`ty ty oa so soul ulm m `l witcr itcr 6 9= 9=3> 3> fs V (4) (g) Gihguhitc tbc cqu`vihcl cqu`vihcltt rcs`stilgc dctwcc dctwccl l tbc po`lts I ilm D aor tbc aohhow`le gofd`litòl gofd`litòl oa rcs`stors ; (4)

(m) Pou bivc dcc dccl l prov`mcm w`tb i sohclo`m sohclo`m ID. I

D

(`) Ubit `s tbc pohi pohir` r`ty ty it clm I ? (``) E`vc olc imviltiec oa il chcgtr tro ofielct ov ovcr i pcrfilclt fi fielct. (4) (c) (`) Lifc tbc m mcv`g cv`gcc uscm to protcgt tbc chcgtr`g chcgtr`g g`rgu`ts arof ovcrhoi ovcrhoim`le m`le ilm sbort g`rgu`ts. (``) Ol wbit caacgt oa chcgtr`g`ty mocs tbc idovc mcv`gc worj ? (4) Ilswcr (i) (`) ]bc sbirp p`tgbcm soulm sho showhy why gbilecs to how p`tgbcm soulm is tbc dugjct dugjct ects a`hhcm. ]bc soulm ihfost m`cs wbcl tbc dugjct `s gofphctchy a`hhcm. (``) (``) Is tbc hcletb hcletb oa v`drit`le i`r gohufl mcgrciscs muc muc to tbc witcr, witcr, tbc arcquclgy oa oa tbc

soulm gbilecs. (d) M`stilgc govcrcm govcrcm dy tbc so soulm ulm to rcigb doitfil doitfil 6 77> fs ‗9 Õ 7 s 6 00> 00> f X M`stilgc oa m`vcr arof tbc sourgc oa soulm 6 00> f

bttps;//www.irulmccpschabchp.`lao/

^b 45

4>97

00> f X ]`fc tijcl dy tbc soulm to rcigb m`vcr 6 9=3> fs ‗ 9

6

00> s 9=3 6 >.12 s (Ippox.).

(g) Tcs Tcs`stil `stilgc gc oa tbrcc tbrcc = U rcs` rcs`st sto ors `l scr` scr`ccs 6 = Õ 7 6 94 U Tcs`stilgc oa tbrcc 4 U rcs` rcs`st sto ors `l scr` scr`ccs 6 4 Õ 7 6 1 U X Cqu`vihclt rcs`stilgc oa 94 U , 1 U ilm = U `l pirihhch. 9 T p

6

9 94

+

9 1

+

9 =

6

9+ 4 + 7

94

6

1 94

6

9 4

Ü

T  p 6 4 U

ilm 1 U `l scr`cs. X Cqu`vihclt rcs`stilgc oa 3 U , 4 U ilm T s 6 (3 (3 + 4 + 1) U 6 97 U (m) (`) ô ôhhir ir``ty it tbc tbc clm I `s LOT]B OT]B.. (``) (``) Il chcgtrofielct‐s chcgtrofielct‐s strcletb gil dc `lgrciscm dy `lgrcis`le tbc ahow oa gurrclt `l tbc go`h, wb`gb `s lot poss`dhc `l gisc oa i pcrfilclt fielct. (c) (`) Chcgtr`g Chcgtr`g aus ausc. c. (``) (``) @t worjs ol tbc bcit`le bcit`le caacgt o oaa chcgtr`g chcgtr`g gurrclt. gurr clt. Yucstòl = (i ) Mca`lc tbc tcrf ‒Bcit gipig`ty‐ ilm stitc `ts W.@. ul`t. (4) (d) Ubit `s fcilt dy Ehodih wirf`le ? (4) o (g) Bow f fugb ugb bcit clcrey clcrey `s rchciscm wbcl wbcl 3 e oa w witcr itcr it 4> G gbi bil lecs to `gc it >oG? ZWpcg ZWp cgà à`g `g bcit bcit gipig` gipig`ty ty oa witcr witcr 6 =.4 Ke ‗9 oG ‗9 : Wpcg` Wpcgà` a`gg hit hitcclt bcit bcit oa ausò ausòl l oa `gc 6 ‗9 771 e V (4) (m) Ub` Ub`gb gb oa tbc rimòigt`vc rimòigt`vc rimìtòls rimìtòls (`) gi gil l gi gius uscc scvc scvcrc rc ec eclc lct` t`gi gihh m`so m`sormc rmcrs. rs. (``) (``) irc mcah mcahccgt gtccm dy il chc hcgtr gtr`g `g a` a`ch chm m ? (c) I rimòigt`vc l lughcus ughcus ulmcreocs i scr`cs oa mcgiys iggorm`le iggorm`le to tbc scquclgc i

i

d ¼® R7. ¼® R 4 ¼ R ¼ ¼ ¼® ® R9 ¼

@a tbc fiss fiss luf lufdcr dcr ilm ilm itof itof`g luf lufdc dcrr oa R7 irc 954 ilm 10 rcspc rcspcgt` gt`vc vchy hy,, wbit wbit `s tbc fiss lufdcr ilm itof`g lufdcr oa R ? Ilswcr (i) Bcit gipig`ty ; ]bc ifoult oa bcit clcrey rcqu`rcm to ri`sc tbc tcfpcriturc oa i e`vcl fis isss oa i sudsti sudstilg lgcc tbro tbroue ueb b 9 J (or (or 9oG) `s gihhcm `ts bcit gipig`ty. ‗9 W.@.. ul W.@ ul`t `t oa bc bcit it gi gipig pig`t `ty y `s KJ . (d) ]bc r`sc `l ivcriec tc tcfp fpcriturc criturc oa tbc itfospbcrc itfospbcrc iroulm tbc cirtb, muc to tbc tripp`le oa rimìlt sohir bcit muc to girdol mòx`mc ilm gbhoroahurogirdols `s gihhcm ehodih wirf`le. (g) Bcit cl clcrey crey rchciscm rchciscm `l gooh`le gooh`le witcr witcr to >oG 6 fg q a

6

3 ½ =.4 ½ 4> 6 =4>K

Bcit clcrey rchciscm `l arccz`le witcr 6 fH 6 3 Õ 771 6 912> K X ]otih bcit clcrey rchciscm 6 (912> + =4>) K 6 49>> K (m) (`) Eif Eiffi fi rimìtòls rimìtòls (``) Ihpbi Ihpbi ilm dcti dcti rimìtòls (c)

954 10

+

i

R 7 ¼ ¼®

951 59

R4 :

951 59

+

i

R 4 ¼ ¼®

92> 57

92> + d 92> 57 R 9 ¼ ¼® 54

R9

R

]bus, fiss lufdcr oa R `s 92> ilm itof`g lufdcr 54 :

bttps;//www.irulmccpschabchp.`lao/

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WCG]@OL @@ (=> Firjs) Ittcfpt ily aour qucstòls arof tb`s Wcgtòl. Yucstòl 3. (i) (`) U`tb rcac rcacrclgc rclgc to tbc`r tbc`r m`rcgt` m`rcgtòl ol oa igtòl, igtòl, bow mocs mocs i gcltr`pctih gcltr`pctih aorgc màac màacrr arof i gc gclt ltr` ràu auei eihh aorgc aorgc ? (``) (``) Wtitc tbc ^r`lg`phc oa ggolscrvitòl olscrvitòl oa clcrey clcrey.. (``` (```)) Lifc tbc ao aorf rf oa clcrey wb`gb wb`gb i domy fiy posscss cvcl wbcl wbcl `t `s lot `l fotòl. (7) (d) I gooh`c `s pusb`le i dox wcèb`le 93>> L up il `lgh`lcm philc 5.3 f hhole ole ol to i phitaorf, 4.3 f idovc tbc eroulm eroulm.. (`) Gihguhitc tbc fcgbil` fcgbil`gih gih imviltiec oa tbc `lgh`l `lgh`lcm cm philc philc.. (` (``) `) Gihguhitc tbc caaort caaort ipph`cm dy tbc gooh`c. gooh`c. (``` (```)) @l igtuih pr prigt`gc, igt`gc, tbc gooh`c lccms to ipphy forc ca caaort aort tbil t bil wbit `s gihguhitcm. E`vc olc olc rcisol wby you tb`lj tbc gooh`c lccms to ipphy forc caaort. (7)

(g) I dhogj ilm tigjhc tigjhc systcf oa puhhcy‐ puhhcy‐s i vch vchog`ty og`ty ritò =. (`) Mriw i hidchhcm mìerif mìerif oa tbc systcf `lm`git`le ghcirhy tbc po`l po`lts ts oa ipph`gitòl ipph`git òl ilm m`rcgtòls oa i hoim ilm caaort. (``) (``) Ubit `s tbc vihuc oa tbc fcgbil`gih fcgbil`gih imviltiec oa tbc e`vc e`vcl l puhhcy systcf à `t `s il `mcih puhhcy systcf ? (=) Ilswcr. (i) (`) U`tb rcac rcacrclgc rclgc to igtòl, igtòl, tbc gc gcltr`pctih ltr`pctih aorg aorgcc `s m`rcgtcm m`rcgtcm towirms tbc gcltrc gcltrc oa g`rguhir g`rguhir pitb ilm tbc gcltràueih gcltràueih aorgc `s m`rcgtcm m`rcgtcm iwiy arof tbc gcltrc gcltrc oa g`rguhir pitb, sugb tbit tbcy irc igt`le oppos`tc to olc ilotbcr. (``) Hiw oa golscrvitòl oa clcrey ; Clcrey `l i systcf gillot dc grcitcm, lor `t gil dc mcstroycm ilm tbc suf totih oa clcrey rcfi`ls golstilt, lo fittcr `t gil gbilec `ts aorf. (` (``` ``)) ôtcltìh clc clcrey rey.. (d) (d) (`) (`) Aor Aor i pc pcra raccgt fig igbl bl`l `lcc : Fcgbil`gih imviltiec 6 Qchog`ty ritò 6

M`stilgc tbroueb w b`gb caaort igts M`stilgc tbroueb w b`gb hoim igts

(` (``) `) Fcgbil`gih Fcgbil`gih imviltiec 6 Caaort 6

93>> L 7

6 3>> L. L.

6

5.3 f 4.3 f

Hoim Caaort

6

7

X 7 6

93>> L

Dhogj ilm tigjhc systcf w`tb vchog`ty ritò =

Caaort C

(``` (```)) @lgh`lcm philc `s lot i pcracgt figb`lc. figb`lc. @t oaacrs gcrti`l ifoult oa rcs`stilgc to tbc hoim. ]bus, `l igtuih C prigt`gc gooh`c gooh`c bis to ipphy forc caaort. (g) (g) (`) Hoim 6 =] C 6 ] X Q.T. 6 = Dhogj ilm tigjhc systcf oa puhhcy biv`le Q.T. 6 = (``) (``) Fcgbil`gih imviltiec w`hh w`hh dc cquih to tbc lufdcr oa puhhcys cleiecm `l i e`vcl puhhcy systcf.

C C C

Hoim H

bttps;//www.irulmccpschabchp.`lao/

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Yucstòl 1 (i) Lif Lifcc tbc tbc rimìtòl rimìtòlss ; (`) tbit irc uscm aor pbotoeripby it lèbt. lèbt. (``) uscm aor mc mctcgtòl tcgtòl oa arigtur c `l dolcs.

(` (``) `) wbosc wbosc wivchcle wivchcletb tb rilec `s arof 9>>

o

I

to =>>>

o

I

(or 9> lf to =>> lf).

(7)

(d) (`) Gil tbc idsohutc rcarigt`vc `lmcx `lmcx oa oa i fcmùf fcmùf dc hcss hcss tbil olc ? (` (``) `) I go`l phigcm phigcm it tbc dottof oa i dcijcr dcijcr ippcirs to dc ri`scm dy =.> gf. gf. @a tbc tbc rcari rcarigt gt`v `vcc `lmc `lmcx x oa witc itcrr `s =/7, =/7, a`lm a`lm tbc mc mcptb ptb oa tb tbcc witcr itcr `l tbc dc dcij ijccr. (7) (7) (g) Il odk odkcgt cgt ID `s `s phigcm dctwcc dctwccl l 4A9 il ilm m A 9 ol tbc pr`lg`pih ix`s oa i golvcx hcls is sbowl `l tbc mìerif.

Gopy tbc mìerif ilm us`le tbrcc riys stirt`le arof po`lt I, odti`l tbc `fiec oa tbc odkcgt aorfcm dy tbc hcls. (=) Ilswcr (i) (`) `la `larircm rircm rimìtòl. rimìtòl. (``) (``) R-riys. R-riys. (```) (```) Sh Shtrivò trivòhc hctt rimìtòl rimìtòl.. (d) (`) Lo, idsohutc idsohutc rcarigt`vc `lmcx `lmcx oa i fcmùf fcmùf `s ihwiys ercitcr tbil 9, 9, is spccm oa oa hèbt `l ily fcmùf `s ihwiys hcss tbil tbit `l viguuf. (``) (``) Hct tbc rcih mcptb mcptb oa witcr 6 x Ippirclt mcptb oa witcr 6 ( x ‗ =) gf. gf. Low,, rcarigt`vc `lmcx Low `lmcx oa witcr 6 Tcih ih mcptb mcptb 6 x 6 91 gf gf X Tc (g)

Tcih mcptb Ü= Ippirclt mcptb 7

6

x x - =

or

(= x ‗ 9 91 1) 6 7 x

Yucstòl 5.

(i) (`) Ub Ubit it `s tbc tbc pr`lg pr`lg`phc `phc ol wb`gb wb`gb WOLI WOLIT T `s discm discm.. (``) (``) Il odscrvcr odscrvcr stilms it i gcrti`l m`stilgc iwiy arof i ghàa ilm promugcs i houm soulm. Bc bcirs bcirs tbc cgbo cgbo oa tbc tbc sou soulm lm iatcr 9.2 s. Gihguh Gihguhitc itc tbc m` m`stil stilgc gc dctwcc dctwccl l tbc gh` ghàa aa ilm ilm ‗9 tbc odscrvcr à tbc vchog`ty oa soulm `l i`r `s 7=> fs .

bttps;//www.irulmccpschabchp.`lao/

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(d) I v`drit`le v`drit `le tul`le aorj `s phigcm phigcm ovcr tbc foutb foutb oa i durcttc a`hhcm w`tb witcr. ]bc tip oa tbc durcttc `s opclcm ilm tbc witcr hcvch erimuihhy stirts aihh`le. @t `s aoulm tbit tbc soulm arof tbc tul`le aorj dcgofcs vcry houm aor i pirt`guhir hcletb oa tbc witcr gohufl. (`) Lifc tbc pbclofclol pbclofclol tij`le phigc wbcl tb`s bippcls. (` (``) `) Uby mocs mocs tbc soulm soulm dcgofc dcgofc vcry houm aor aor tb`s hcletb hcletb oa tbc witcr gohufl gohufl ? (7) (g) (`) Ubit `s fcilt ilt dy tbc tcrf tcrfss (9) (9) ifph ifph`t `tum umcc (4) (4) arc arcq qucl uclgy oa i wivc ivc ? (``) (``) Cxphi`l wby str`lecm fus`gih `lstrufclts, h`jc tbc eu`tir, irc prov`mcm w`tb w`tb i bohhow dox. (=) Ilswcr (i) (`) (`) Cg Cgbo bo mcptb mcptb soulm soulm`l `le e Shtrisol`g wivcs bivc tbc sifc spccm is oa ium`dhc soulm dut irc lot idsordcm `l tbc fcmùf. Wo trilsf`ttcr sclms tbcsc wivcs rcgc`vcr rcgc`vcs tbc wivcs digj iatcr str`j`le vt . 4 7=>fs ‗ 9 ½ 9.2s 4

tbc rè`m odstighc so t`fc tijcl `s rcgormcm. Ilm wc gil gihguhitc m`stilgc m   6 (``) (``) M`stilgc dctwccl dctwccl ghàa ghàa ilm sourgc oa soulm 6

Qchog`ty oa soulm ½ t`fc 4

6

6 7>1 f (d) (`) ]bc pbclof pbclofclo clol l `s `s gihhcm gihhcm ‒rcsolilgc ‒rcsolilgc oa soulm‐. soulm‐. (``) (``) I sofc pirt`guhir pirt `guhir hcletb oa i`r gohufl tbc liturih arcquclgy oa i`r gohuf gohufl l gorrcspolms tbc arcquclgy oa tul`le aorj. It tb`s fofclt tbc soulm wivcs rc`laorgc to promugc houm soulm. (g) (`) ]bc f fix`fuf ix`fuf m`sphigcf m`sphigcfclt clt oa v`drit`le pirt`ghc pirt`ghc idout `ts fcil fcil pos`tòl pos`tòl `s ggihhcm ihhcm `ts ifph`tumc.]bc lufdcr oa wivcs wb`gb piss tbroueb i po`lt `l i fcmùf `l olc scgolm `s gihhcm arcquclgy. (``) (``) ]bc i`r trippcm `l tbc bohhow bohhow dox stirts stirt s v`drit`le w`tb aorgcm v`drit v`dritòls, òls, tbcrcdy promug`le houlmcr soulm. Yucstòl 2. (i) (`) @t `s odsc odscrvcm rvcm tbit tbit tbc ttcfp cfpcriturc criturc oa tbc surroulm`l surroulm`le e stirts aihh`le aihh`le wbcl wbcl tbc `gc `l i arozcl hijc stirts fcht`le. E`vc i rcisol aor tbc odscrvitòl. (``) Bow `s tbc tbc bc bcit it gip ipig ig``ty oa tbc tbc do dom my rch rchitc itcm to `t `tss spc pcggà à``g bcit gip ipig ig`t `ty y ? (7)

(d) (`) Uby mocs mocs i dotthc oa oa soat mr`lj gooh aistcr aistcr wbcl wbcl surroulmcm surroulmcm dy `gc `gc gudcs gudcs tbil dy ``gc gc o go gohm hm witcr, itcr, do dotb tb it > G ? (``) I gcrti gcrti`l `l ifou ifoult lt oa bc bcit it Y w`hh `hh wirf 9 e oa fi fitc tcr` rìh ih R dy 7oG ilm ilm 9 e oa fit itccr` rìh ih P o dy = G. Ub`gb fitcrìh bis i bèbcr spcgà`g bcit gipig`ty. (g) I giho gihor`f r`fctc ctcrr oa fiss fiss 3> e ilm spcgà` spcgà`gg bcit bcit gipig gipig`ty `ty >.=4 K e ‗9 oG ‗9 golti`ls sofc fiss oa witc witcr it 4>oG. I fctih p`cgc p`cgc oa fis isss 4> e it 9>> oG `s mroppcm `lto tbc gihor`fctcr. Iatcr st`rr`le, tbc a`lih tcfpcriturc oa tbc f`xturc `s aoulm to dc 44 oG. A`lm tbc fiss oa witcr uscm `l tbc gihor`fctcr. Zspcgà Zspc gà`g `g bcit gipig gipig`ty `ty oa tbc fctih fctih p`cgc p`cgc 6 >.7 Ke ‗9 oG ‗9 : spcgà`g spcgà`g bcit bcit gipig`ty gipig`ty oa witcr witcr ‗9 o ‗9

6 =.4 Ke G V (=) Ilswcr (i) (`) (`) Cv Cvcry cry j`hoe j`hoerif rif oa `gc `gc it it >oG ol fc fcht ht`l `le e to aor aorf f witcr itcr it >oG lccms 771 Õ 9> 7 K oa bcit clcrey is `ts spcgà`g hitclt bcit `s 771 Õ 9> 7K. ]b`s bcit clcrey `s supph`cm dy tbc surroulm`le oa tbc hijc, wb`gb `l turl rcsuhts `l tbc aihh `l tcfpcriturc.

bttps;//www.irulmccpschabchp.`lao/

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(` (``) `) Wpcgà`g Wpcgà`g bcit gipig`ty gipig`ty oa i domy domy 6

Bcit gipig`ty oa tbc domy Fiss oa tbc domy

(d) (`) Cvcry Cvcry erif oa `gc surroulm`le tbc soat soat mr`lj cxtrigts out 771 K oa bc bcit it clc clcrey rey arof o `t ilm tbc tcfpcriturc oa surroulm`le tbc soat mr`lj rcfi`ls it > G. Bowcvcr, `l gisc oa gohm witcr, `t w`hh cxtrigt out olhy =.4 K oa bcit clcrey pcr erif. Aurtbcrforc, tbc tcfpcriturc oa surroulm`le witcr stirts r`s`le. ]bus, soat-mr`lj dotthc goohs dcttcr `l gisc oa `gc. (` (``) `) Fitcrìh R bis bèbcr bèbcr spcgà`g spcgà`g bcit gipig`ty gofpircm to fitcrìh P. @t `s dcgiusc aor tbc fiss ifoult oa bcit `ts tcfpcriturc r`scs hcss tbil P. (g) Miti iti Wu dst ilgc Fis s WBG @l`tìh tcfpcr iturc A`li h tcfpcr iturc 6 44 oG Gihor`fctcr

3> e

>.=4 Ke ‗9 oG ‗9

4>oG

44 ‗ 4>) 6 4oG q T 6 ( 44

Gohm witcr

? (  xx)

>.=4 Ke ‗9 oG ‗9

4>oG

44 ‗ 4>) 6 4oG q T 6 ( 44

Bot fctih p`cgc

4> e

>.7 Ke ‗9 oG ‗9

9>> o G

q A 6 (9>> ‗ 44) 6 52oG

.4 Õ 4 6 2.= x Bcit Bc it idsord idsordcm cm dy gohm gohm wi witc tcrr 6 fg q T 6 x Õ = .4 >.= =4 Õ 4 6 =4 Bcit Bc it idsordcm idsordcm dy gihor`f gihor`fctc ctcrr 6 fg q T 6 3> Õ >. ]otih otih bcit bcit idsordc idsordcm m 6 2.= x + =4. Bcit e`vcl out dy fctih fg q A 6 4> Õ >.7 Õ 52 6 =12. Dy tbc pr`lg`phc oa gihor`fctry, ]otih bcit idsordcm 6 totih bcit host 2.= x + =4 6 =12 =12 Ü 2.= x 6 =12 ‗ =4 6 =41 Ü x 6 Yucstòl 0. (i) (`) Wtitc Wtitc Obf Obf‐s hiw hiw.

=41 2 .=

6 3> 3>.5 .5 e

(``) I fctih ctih w`rc oa rcs` rcs`st stil ilgc gc 1 U `s strctgbcm so tbit `ts hcletb `s `lgrciscm to tw`gc `ts orè`lih hcletb. Gi hguhitc `ts lcw rcs`sti lgc. (7) (d) (`) Il chcg chcgtr`gih tr`gih eimect eimect gil e`v e`vcc il chcg chcgtr`g tr`g sbogj to ``ts ts uscr ulmcr gcrti`l gcrti`l g`rgufstilgcs. g`rgufstilgcs. Fcltòl ily two oa tbcsc g`rgufstilgcs. (``) (``) Ubit prcvclt`vc fcisurc prov`mcm `l i eimect gil protcgt i pcrsol arof il chcgtr`g sbogj ? (g) ]bc aèurc sbo sbows ws i g`rgu`t g`rgu`t

Ubcl tbc g`rgu`t `s sw`tgbcm ol, tbc iffctcr rcims >.3 I.

bttps;//www.irulmccpschabchp.`lao/

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(`) Gihguhitc tbc vihuc oa oa tbc uljl uljlowl owl rcs`stor T. (` (``) `) Gihguhitc tbc gbirec gbirec piss`le piss`le tbroueb tbc 7 U rcs`stor `l 94>s. (``` (```)) Gihguhit Gihguhitcc tbc powcr powcr m`ss`pit m`ss`pitcm cm `l tbc 7 U rcs`stor.. (=) Ilswcr (i) (`) Ob Obf f‐s Hiw Hiw ; @t stitcs, ihh pbys`gih golm`tòls oa i golmugtor rcfi`l`le sifc, tbc gurrclt ahow`le tbroueb `t `s m`rcgthy proportòlih to tbc potcltìh màacrclgc it `ts clms. (` (``) `) Hct tbc orè`lih orè`lih hcletb hcletb dc (h) ilm irci oa gross-scgtòl (i), sugb tbit `ts rcs`stilgc `s 1 U . Ipphy`le, T 6 J

9 i

Ü 1 6

J h

...(`)

i

lcw w rcs` rcs`sti stilg lgcc oa Ubcl tbc hcletb 4h, `ts irci irci oa grossgross-sc scgt` gtòl ol dcgo dcgofc fcss i . @a T `s tbc lc 4

golmugtor tbcl ; T 6 J

4h i/4

M`v`m`le (``) dy (`)

6

=

T 1

Jh i

....(``)

6 = X T 6 4 4= =U

(d) (`) (`) (9) ]b ]bcc chcg chcgtr` tr`gih gih eime eimect ct fi fiy yd dcc sbort sbort g`rgu` g`rgu`tcm tcm `.c., `ts h`vc or lcutrih w`rc `s tougb`le `ts fctihh`g domy m`rcgthy. (4) ]bc bilms oa tbc uscr fiy fiy dc wct, wct, sugb tbit witcr mr`pp`le arof b`s bilms fijcs goltigt w`tb tbc h`vc w`rc. (``) (``) ]bc domy oa tbc chcgtr`g chcgtr`g eimect `s gollcgtcm gollcgtcm to tbc cirtb tcrf`lih dy fcils oa cirtb w`rc.

@l gisc oa sbort g`rgu`t i buec surec oa gurrclt ahows tbroueb tbc cirtb tcrf`lih. ]b`s `l turl fchts ausc `l tbc h`vc w`rc ilm bclgc tbc ahow or gurrclt stops `l tbc eimect. (g ) (`) @ 6

Q T

>.3 6 X >.3

1 T + 7

9.3 6 1 Ü >.3 T 6 =.3 Ü T 6 0 U X >.3 T + 9.3 (``) Gbir Gbire ec Y 6 @ Õ t   6 >.3 Õ 94> 6 1> Gouhofds (` (``` ``)) ôwc ôwcrr m`ss`pitcm `l 7 U rcs`stor 6 @4T 6 >.3 Õ >.3 Õ 7 6 >.5 >.53 U Yucstòl 9>. (i) Lifc tbc tbrcc tbrcc fi`l fi`l pirts oa i Gitbomc Tiy ]udc ]udc.. (d) (`) Ub Ubit `s fcilt dy Timòigt`v`ty ? (``) Ubit `s fcilt dy lughcir wistc ? (``` (```)) Wueecst olc ccaacgt`vc aacgt`vc wiy aor tbc siac m`sposih oa lughcir wistc.

(7) (7)

(g) (`) Mriw i s`fphc hidc hidchhc m mìerif oa `l m.g m.g.i. chcgtr`g fotor fotor. (``) (``) Ubit `s tbc aulgtòl oahhcm tbc sph`t r`les m.g. fo fotor tor ? . (```) Wtitc olc i mviltiec oa i.g. ovcr m.g. (=) Ilswcr (i ) (`) (9) chcgtrol eul (4) Mcahcgt`le phitcs (7) Ahuorcsgclt sgrccl (d) (`) ]bc pbclof pbclofclo clol l muc to tbc lughcus lughcus oa gcrti`l gcrti`l chcfcl chcfclts ts mcgiys ol ``ts ts owl, e`v`le e`v`le out

bttps;//www.irulmccpschabchp.`lao/

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birfauh rimìtòls, rimìtòls, sugb is i ihpbi pirt`ghcs, dcti pirt`ghcs p irt`ghcs ilm eif eiffi fi rimìtòls `s gihhcm rimòigt`v`ty. (``) (``) ]bc rcs`muih fitcrìh fitcrìh hcat `l tbc lughcir lughcir rcigtors iat iatcr cr eclcrit eclcrit`le `le bcit clcrey clcrey `s gihhcm lughcir wistc. ]bc lughcir wistc `s rimòigt`vc ilm vcry birfauh to tbc clv`rolfclt. (``` (```)) ]bc lughcir wistc sbouhm dc storcm `l sti`lhcss stcch golti`lcrs, h`lcm arof w w`tb`l `tb`l w`tb tb`gj sbccts oa hcim, so tbit lo rimòigt`vc riys gofc out oa `t. ]bc golti`lcrs sbouhm dc storcm `l siac ilm wchh euirmcm phigc, so tbit tbcy mo lot aihh `l tbc bilms oa gr`f`lih chcfclts. (g) (`)

(``) (``) ]bc sph`t r`les ihtcr tbc m`rcgtòl oa gurrclt `l tbc go`h iatcr cvcry biha rotitòl. ]b`s `l turl bchps tbc go`h to fovc `l tbc sifc m`rcgtòl, `.c., ghogjw`sc or ilt`ghogjw`sc m`rcgtòl. (``` (```)) ]bc ihtcrlit`le gurr gurrclt clt gil gil dc cis`hy stcppcm u up p or mowl ilm gil dc trilsf`ttcm ovcr ovcr hole

m`stilgc gidhc w`rcs. ]b`s `s lot poss`dhc `l gisc oa m`rcgt gurrclt.

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>9= (WOHQCM) ]`fc ; 4 bours

2> Firjs

Ilswcrs to tb`s pipcr fust dc wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy scpiritchy.. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl îpcr îpcr.. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs.

Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@ . ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts Z V. WCG]@OL ‗ @ (=> Firjs)

(Ittcfpt ihh qucstòls arof tb`s scgtòl) Yucstòl 9. (i) I aorg aorgcc `s ipph`cm ipph`cm ol ol ( `) i lol-rè`m domy ilm ( `` ) i rè`m domy. Bow mocs tbc caacgt oa tbc a o r g c m ` a a c r ` l t b c i d o v c t wo g i s c s ? Z 4V (d (d)) I fctihh`g fctihh`g dihh `s bile`le dy i str`le arof i a`xcm support. support. Mriw i lcit hidchhcm mìerif sbow`le t bc aor gcs i gt`le ol tbc di hh i lm tb c str `le. Z 4V ( g ) ( `)

Ubit `s tbc wcèb wcèbtt oa i domy domy p phigcm higcm it tbc tbc gcltrc gcltrc oa tbc ccirtb? irtb?

( `` ) U bi t `s tbc pr `lg`phc oa i l `mc i h fi gb`lc?

Z 4V

(m) @s `t poss ss`d `dhc hc to biv ivcc il ig iggc gchc hcri ritc tcm m fotò tòl w`t `tb b i golst stil iltt sp spcccm cm?? Cxp Cxphi hi`l `l.. ( c ) ( `)

Z4V

Ubc Ubcl moc mocss i aaor orgc gc mo wor orj? j?

( `` ) Ubi Ubi t `s tbc tbc wor j molc dy tbc tbc fool wbcl `t rc rcvohv hvccs i ro roulm tb tbcc ci rtb rtb?? Ilswcr. ( i ) ( `)

Z 4V 4V

Ubcl i aorgc ipph`cm ipph`cm ol i lol lol-rè`m -rè`m dom domy y, `t gbilecs gbilecs tbc tbc `ltcrspig `ltcrspig`le `le dctwccl dctwccl `ts golst`tuclt pirt`ghcs ilm tbcrcaorc giuscs i gbilec `l `ts m`fclsòls ilm gil ihso promugc fotòl `l `t.

( `` ) Ubcl i aorgc aorgc `s ipph`cm ol i rè`m domy domy,, `t mocs lot gbilec tbc `ltcrspig`le dctwccl `ts golst`tuclt pirt`ghcs ilm tbcrcaorc `t mocs lot gbilec tbc m`fclsòls oa tbc odkcgt dut giuscs giusc s olhy tbc fotòl `l `t. Wupport

(d (d))

]

] ® ]clsòl `l tbc str`le fe ® Ucèbt oa tbc dihh

fe

( g ) ( `)

X

]bc wcèbt wcèbt oa i do domy my phigcm phigcm it tbc ggcltrc cltrc oa tb tbcc cirtb ``ss zcro dcgiusc dcgiusc vihuc vihuc oa e 6 > it tbc gcltcr oa tbc cirtb. ( `` ) Il `mcih `mcih figb`lc figb`lc `s tbit `l wb`gb wb`gb tbcrc `s lo m`ss`pitò m`ss`pitòl l oa clcrey clcrey `l ily fillc fillcr. r. ^r`lg`phc oa il `mcih figb`lc 6 worj molc dy i figb`lc 6 worj molc ol tbc figb`lc / worj output 6 worj `lput

^b 7=

4>9=

bttps;//www.irulmccpschabchp.`lao/

^b 73

4>9=

(m (m)) Pcs. ]bc vchog`ty vchog`ty oa pirt`ghc pirt`ghc `l g`rguhir fo fotòl tòl `s virìdhc or tbc g`rguhir f fotòl otòl `s iggchcritcm cvcl tboueb tbc spccm oa pirt`ghc `s ulàorf. ( c ) ( `)

Uorj `s si`m to dc molc molc olhy wbc wbcl l tbc aaorgc orgc ipp ipph`cm h`cm ol ol i domy fijcs fijcs tbc tbc domy fovc fovcss `.c., tbcrc `s m`sphigcfclt oa tbc domy.

( `` ) ]bc worj worj molc molc dy tbc tbc f fool ool wbcl wbcl `t rcvohv rcvohvcs cs iroul iroulm m tbc cirtb cirtb `s zcro. Yucstòl 4. (i) Gihguhitc tbc gbilec `l tbc J`lct`g clcrey clcrey oa i fov`le fov`le domy à `ts vchog`ty `s rcmugcm to 9/7r m oa tbc `l`tì h vchog`ty. Z 4V (d) Wtitc tbc clcrey gbilecs `l tbc aohhow`le mcv`gcs wb`hc `l usc ; ( `)

I houm spc spci j jccr.

( `` ) I ehow`le ch cgtr`g duhd. ( g ) ( `)

Z 4V

Ubit Ubit `s lugh lughci cirr clcr clcrey ey??

( `` ) Lif Lifc tbc tbc pr og ogcss uscm scm aor pr om omug`le `le chc hcggtr `g `g`t `ty y us` s`l le lughc hcii r clcrey.

Z 4V 4V

(m) Wtitc olc `fportilt `fportilt imviltiec ilm m`simviltiec cigb oa us`le lughcir clcrey aor aor promug`le ch cgtr `g`t y. Z 4V ( c ) ( `)

]bc golvcrsòl golvcrsòl oa pirt pirt oa tbc tbc clcrey clcrey `lto il ulm ulmcs`ridhc cs`ridhc aorf `s ggihhcm ihhcm ............. .

( `` ) Ao Aorr i e e`v `vcl cl bcè bcèbt bt b, ............. tbc hcletb 9 oa tbc `lgh`lcm philc, hcsscr w`hh dc tbc c aa o r t r cq u ` r cm . Z 4V Ilswcr. (i (i)) @l`tìh J.C 6

9 4

4

f v 9 9

9

Gbilec `l vchog`ty 6

X

A`l A`lih J. J.C C. 6 J.C J.C4 6

6

6 6 ( d ) ( `)

7 9 4

oa `l`tìh vchog`ty

4

fv 6

4

á v ñ Õ f å õ 4 â 7 ò

9

á v4 ñ f åå    õ õ 4 â 0 ò

9

9 0

á 9 fv4 ñ å õ â4 ò

9 tb oa `l`tìh J.C. 0

Chcgtr`g Chcgtr`gih ih clcre clcrey y golv golvcrtc crtcm m to soul soulm m cl clcre crey y.

( `` ) Chcgtr`gih Chcgtr`gih clcrey clcrey golvcrtcm golvcrtcm to bcit bcit clcr clcrey ey ilm to hèbt hèbt clcrey clcrey.. ( g ) ( `)

@l lughc lughcir ir a`ssòl a`ssòl ilm au ausòl sòl tbcrc tbcrc `s i hhoss oss `l `l fiss fiss muc muc to hoss `l fiss clcrey clcrey rchciscm. ]bc clcrey so rchciscm `s gihhcm tbc lughcir clcrey.

bttps;//www.irulmccpschabchp.`lao/

^b 71

4>9=

( `` ) Lugh Lughci cirr a`ss` `ssòl ol.. (m (m)) Imviltiec ; ; I vcry sfihh ifoult oa lughcir auch gil promugc i trcfclmous ifoult oa clcrey. M`simviltiec ; ; Qcry birfauh lughcir rimìtòls irc promugcm `l tbc progcss wb`gb irc bèbhy clcrect`g ilm pclctrit`le. ( c ) ( `)

M`ss`pi tòl oa clcrey.

( `` )

F o r c.

Yucstòl 7. (i) Mriw tbc m mìerif ìerif e`vcl e`vcl dchow dchow ilm ghc ghcirhy irhy sbow tbc tbc pitb tijcl tijcl dy tbc cfcrec cfcreclt lt riy riy.. Z4V

=3¾

( d ) ( `)

Ubit `s golsuf golsufcm cm us`le màac màacrclt rclt chcgtr`gih chcgtr`gih ipphìl ipphìlgcs, gcs, aor wb`gb chcgtr`g`ty chcgtr`g`ty d`hhs irc pi`m?

( `` ) Li fc i g offol mcv`gc tb i t uscs chcgtr ofi elcts. ( g ) ( `)

Z 4V

I riy oa hèbt hèbt pisscs arof witcr to i`r. Bow Bow mocs mocs tbc spccm spccm oa hèbt hèbt gb gbilec? ilec?

( `` ) U b`gb gohour oa hèbt tr i vchs ai stcst `l i ly fcm` uf cx gcpt i `r ? ( m ) Li fc tbc aigtors iaacgt`le tbc gr`t`gi h i lehc aor tbc pi `r oa fcmì . ( c ) ( `)

Z 4V Z 4V

Lifc i pr`sf rcqu`rc rcqu`rcm m aor aor odti`l`l odti`l`le e i spcgtruf spcgtruf oa Shtrivòhct Shtrivòhct hèbt. hèbt.

( `` ) Li fc t bc r i mì tòls wb`gb g i l dc mc tcgtcm d y i t bcr fop`hc.

Z 4V

Ilswcr. (i (i)) ^

=3¾

Y

=3¾

Ü Ü

Gorrcgt pitb oa tbc rcarigtcm riy sbowl Gorrcgt pitb oa cfcreclt riy sbowl

( d ) ( `)

Ch cgtr `gi h clcrey.

( g ) ( `)

Wp Wpcc ccm m oa oa hèb hèbtt `l `lgr grci cisc scs. s.

( `` ) Chcgtr`gih dchh (Moor Dchh) / f`gropbolc / Chcgtr`g fotor

( `` ) Tcm gohou gohourr oa hèbt triv trivchs chs aistcst aistcst `l ily f fcmù cmùf f cxgcpt cxgcpt i`r.

bttps;//www.irulmccpschabchp.`lao/

^b 75

4>9=

(m) Aigtors iaacgt`le iaacgt`le tbc gr`t`gih ile ilehc hc aor tbc p pi`r i`r oa fcmì fcmì irc ; ( `)

Uiv ivcchcl hcletb oa hhè èb bt

( `` ) Caacg Caacgtt oa tcfp tcfpcrit criturc urc oa tbc tbc fcm fcmùf ùf ( ``` ) Tcarigt`vc Tcarigt`vc `lm `lmcx cx oa tbc pi`r pi`r oa f fcmì. cmì. ( c ) ( `)

Yuir tz pr pr`s f.

( `` ) @larircm @larircm rimìtòls rimìtòls gil dc mctcgtcm mctcgtcm dy tbc tbcrfop rfop`hc. `hc. Yucstòl =. ( i ) Ub U by `s t bc gohour r cm us cm i s i sèl oa mi lecr ? ( d ) ( `)

Z 4V

Ubit Ubit irc fcgbi cgbil` l`gi gihh w wiv ivcs cs??

( `` ) Lifc olc olc propcrty propcrty oa w wivcs ivcs tbit mo lo lo gbilec gbilec wbcl wbcl tbc wivc pisscs pisscs arof olc olc fcmùf to i lotbcr. Z 4V

( g ) A`lm tbc cqu`vi hclt r cs `sti lgc d ct wccl po`lts I i lm D.

7U

Z 4V

=U

7U

3U D

I 1U 7U

(m) 3> e oa fctih fctih p`cgc it 45 »G rcqu`rcs 4=>> K oa bcit clcrey clcrey so is to itti`l i tcf tcfpcriturc pcriturc oa oa 745 » G. Gi hguhi tc tbc spcgà` g bcit gipig`ty oa tbc fctih. Z 4V (c) Il chcgtrol chcgtrol cf`ttcr cf`ttcr fust fust bivc ............. ............. worj aulgt` aulgtòl ol ilm ............. ............. fcht`l fcht`le e po`lt. Z4V Ilswcr. (i) W`lgc tbc wivchcletb wivchcletb oa rcm hèbt `s fix`fuf fix`fuf `l tbc v`s`dhc hèbt, tbc hèbt oa rcm gohour gohour `s sgittcrcm hcist dy tbc i`r fohcguhcs oa tbc itfospbcrc ilm tbcrcaorc `t gil rcigb to i holecr m`stilgc ilm gil dc sccl cis`hy arof airtbcst m`stilgc. ( d ) ( `) ]bc wivcs wivcs wb`g wb`gb b rcqu`rc rcqu`rc i f fcmùf cmùf aor tb tbc`r c`r propieitò propieitòl l irc gihhcm chist`g or or fcgbil`gih fcgb il`gih wivcs. ]bcsc wivcs trivch `l tbc fcmùf tboueb tboueb tbc v`dritòls v`drit òls oa tbc fcmùf pirt`ghcs pirt` ghcs idout tbc`r fcil pos`tòls. pos`t òls. ( `` ) A rrcc quc lg lg y. 9

(g)

T 9

6

9 7

+

9 7

+

9 7

6

7 7

6 9

T 9 6 9U T 4 6 3U 9 T 7

6

9 =

+

9 1

6

7+ 4 94

6

3 94

bttps;//www.irulmccpschabchp.`lao/

^b 72

T 7 6

4>9= 94 3

6 4.= U

]otih T 6 T 9 + T 4 + T 7 6 9 + 3 + 4.= 6 2.= U . (m (m)) E`vcl ; f 6 3>e: M t  6 6 745»G ‗ 45»G 6 7>>»G, Y 6 4=>> K. Low, Y 6 fG M t 4=>> 6 3> Õ G Õ 7>> 7>> 4=>>

G6

3> ½ 7>>

6 >.91 K/e G

(c) Il chcgtrol chcgtrol cf`ttcr cf`ttcr fust fust b bivc ivc how how worj worj aulgtòl ilm bèb bèb fcht`le fcht`le po`lt. WCG]@OL ‗ @@ (=> Firjs) (Ittcfpt ily aour qucstòls arof tb`s Wcgtòl) Yucstòl 3. ( i ) ( `)

I fil fil biv`l biv`le e i dox o ol l b`s b bcim, cim, gh`fds gh`fds u up p i shopc shopc ilm ilotb ilotbcr cr fil biv`le biv`le il `mclt`gih dox wihjs tbc sifc s ifc m`stilgc ol i hcvchhcm roim. Ubo mocs forc worj worj iei`lst tbc aorgc oa eriv`ty ilm wby?

( `` ) ]wo aorgcs aorgcs cigb oa 3L igt vcrt`gihhy upwirms upwirms ilm mowl mowlwirms wirms rcspcgt`vchy rcspcgt`vchy ol ol tbc two clms oa i ulàorf fctrc ruhc wb`gb `s phigcm it `ts f`m-po`lt is sbowl `l tbc mìerif. Mctcrf`lc tbc fiel`tumc oa tbc rcsuhtilt fofclt oa tbcsc aorgcs idout tbc f` mpo` lt . Z =V 3L‗ 3> gf

3L

( d ) ( `)

I domy domy `s tbrowl tbrowl vcrt`gihhy vcrt`gihhy upwirms. upwirms. @ts @ts vchog vchog`ty `ty jccps jccps ol ol mcgrcis`le. mcgrcis`le. Ubit bippcls bippcls to `ts j`lct`g clcrey is `ts vchog`ty dcgofcs zcro?

( `` ) Mriw i mìerif to sbow bow i s`lehc s`lehc puhhcy puhhcy gil gil dc uscm so is to bivc bivc `ts `mcih F.I. F.I. 6 4. Z 7V (g ) Mcr`vc i rchitòlsb`p dctwccl f fcgbil`gih cgbil`gih imviltiecs, vchog`ty ritò ilm caa`g`clgy oa i fi g b` lc . Z 7V Ilswcr. ( i ) ( `)

Fil gh`fds gh`fds up up i shopc shopc mocs mocs forc worj iei`ls iei`lstt tbc aorgc aorgc oa oa eriv` eriv`le le wb wbcrc crcis is tbc worj molc dy tbc fil wihj`le ol i hcvchhcm roim `s zcro dcgiusc m`sphigcfclt `s lorfih to tbc aorgc oa eriv`ty.

bttps;//www.irulmccpschabchp.`lao/

^b 70

4>9=

( `` ) A9 6 A4 6 3L, m 9 6 m 4 6 3> gf 6 >.3 f ]orquc t 6 A Õ m

t9 6

A9 Õ m 9 6 6 3L Õ >.3 f

6 4.3 L f

(Ilt`-ghogjw`sc)

t4 6 A4 Õ m 4 6 3L Õ >.3 f 6 4.3 L f

(Ilt`-ghogjw`sc)

]bc rcsuhtilt fofclt oa aorgc 6 t 9 + t 4 6 4.3 + 4.3 6 3L f `l Ilt` ghogjw`sc m`rcgtòl. (d ) ( ` )

X

Ubcl i domy tbrowl vcrt`gihhy upwirm upwirm `ts vc vchog`ty hog`ty golt`luous golt`luoushy hy mcg mcgrciscs, rciscs, j`lct`g j`lct`g clcrey clcrey ihso mcgrcisc ilm potcltìh clcrey `lgrciscs muc to `lgrcisc `l bcèbt.

J.C. gofphctchy gbilecs to ^.C. (`` ) W`leh W`lehcc Fovidh Fovidhcc ^ ûhh uhhcy cy..

Tè`m Wupport

]

C ]6C

Ixhc Arifc ûhhcy

W`lehc fovidhc H

(g (g)) Hct i figb`lc figb`lc ovcrgofc ovcrgofc i hoim H dy tbc ipph`gitòl oa il ccaaort aaort C. @l t`fc t , hct tbc m`sphigcfclt m`sphi gcfclt oa caaort dc m C ilm tbc m`sphigcfclt oa hoim dc m H. Uorj `lput 6 Caaort Õ m`sphigcfclt oa caaort 6 C Õ m C Uorj output 6 Hoim Õ m`sphigcfclt oa hoim 6 H Õ m H Caa`g`clgy 6

6

6

H ½ m H C ½ m C H C

Dut

C

Uorj `lput H C

Õ

m H m C

9

Õ H

6

Uorj output

m C / m H

6 F.I.

bttps;//www.irulmccpschabchp.`lao/

^b =>

ilm

X

4>9= m C m H

6 Q.T.

Caa`g`clgy b 6

F.I. Q.T.

or F.I. 6 Q.T. Õ b

]bus, tbc fcgbil`gih imviltiec oa i figb`lc `s cquih to tbc promugt oa `ts caa`g`clgy ilm vchog`ty ritò. Yucstòl 1. ( i ) ( `)

Hèbt Hèbt pissc pisscss tbroueb tbroueb i rcgtile rcgtileuhir uhir ehiss ehiss shid ilm ilm tbroueb tbroueb i trìleu trìleuhir hir ehiss pr`sf. pr`sf. @l wbit wiy mocs tbc m`rcgtòl oa tbc two cfcreclt dcifs màacr ilm wby?

( `` ) Tild`r ghi`fs ghi`fs to bivc odti`lcm il `f `fiec iec tw`gc tbc s`zc oa tbc odkcgt odkcgt w`tb i golgivc golgivc hcls. @s bc gor r cgt? E`vc i r ci sol aor your i lswcr. Z =V (d (d)) I hcls aorfs il crcgt, fielà`cm fielà`cm ilm v`rtuih `fiec o oaa il odkcgt. ( `)

Li fc ttb b c h cl s .

( `` ) Mr i w i hi d ch hcm r i y mì er i f to sbow tbc `fi ec aor fi tòl. ( g ) ( `)

Z 7V

Mc Mca` a`lc lc tbc tbc powc powcrr oa oa i hcl hcls. s.

( `` ) ]bc hcls hcls fcltòlcm fcltòlcm `l 1(d) idovc `s oa aogih hcletb 43 gf. Gihguhitc tbc powcr oa tbc hcls. Z 7V Ilswcr. ( i ) ( `)

@l i rcgtileuh rcgtileuhir ir ehiss shid, tbc cfcrecl cfcrecltt riy `s p pirihhch irihhch to tbc `lg`mc `lg`mclt lt riy dut tbc tbcy y irc lot ihole tbc sifc h`lc wbcrcis `l i pr`sf tbc cfcreclt cfcreclt ri y `s lot piri hhch to `lg`mclt riy. Dcgiusc `l i ehiss dhogj tbc two suraigcs it wb`gb rcarigtòl oggurs `s pirihhch to cigb otbcr.

( `` ) Lo. Dy tbc golgivc golgivc hc hcls ls ol olhy hy m`f`l`sbc m`f`l`sbcm m `fiecs `fiecs irc odti`lcm odti`lcm.. ( d ) ( `)

Golvcx hcls.

( `` ) Odkcgt mriwl mriwl d/w tbc opt`gih opt`gih gcltc gcltcrr ilm tbc tbc pr`lg`phc pr`lg`phc aogus. aogus. D

‐

D 4A4 4A9

I

‐

A9

I

O

A4

Golvcx hcls

( g ) ( `)

]bc powcr powcr oa oa i hcls hcls `s i f fcisurc cisurc oa oa mcvìtòl mcvìtòl promugcm promugcm dy `t `l tbc pitb oa riys rcarigtcm tbroueb `t.

bttps;//www.irulmccpschabchp.`lao/

^b =9

( `` ) ôw ôwcr oa hhccls (`l (`l M) M) 6

4>9=

9 Aogi Aogihh hcle hcletb tb (`l (`l fc fctr trc) c)

6

6

9>> Aogi Aogihh hclet hcletb b (`l gclt`f gclt`fct ctrc rc)) 9>> 43

6 =M.

Yucstòl 5. (i) ]bc imkigclt mìerif sbows sbows tbrcc màacrclt màacrclt fomcs oa v`dritòls v`drit` ols ^, ^, Y ilm T oa tbc sifc str`le. ( `)

Ub`gb Ub`gb v`dritò v`dritòls ls w w`hh `hh prom promugc ugc i hhou oumc mcrr soulm soulm ilm ilm w wby by??

( `` ) ]bc soulm soulm oa w wb`gb b`gb str`le str`le w w`hh `hh bivc f fix`fu ix`fuf f sbr`hhlcss? sbr`hhlcss? ( ``` ) Wt W ti tc tbc r i tò oa wi vchcletbs oa ^ i lm T.

Z =V

^

Y

T

(d) I typc oa oa chcgtrofielc chcgtrofielct`g t`g wivc b bis is wivchcletb wivchcletb 3> I . ( `)

Li fc tbc wivc.

( `` ) Ubit `s `s tbc sp spcc ccm m oa tbc tbc w wivc ivc `l viguu viguuf? f? ( ``` ) Wti tc olc usc oa tb` s typc oa wi vc.

Z 7V

( g ) ( `) Wtitc olc olc `fportil `fportiltt pro propcrty pcrty oa oa wivcs wivcs uscm uscm aor aor cgbo cgbo mcptb mcptb soulm`l soulm`le. e. ( `` ) I rimir sclms sclms i sèlih sèlih to il i`rgriat it i m`stilgc oa oa 7> jf iwiy ilm rcgc`vcs rcgc`vcs `t digj ‗= iatcrr 4 Õ 9> s iatc sccgolm. Ubit `s tbc spccm oa tbc sèlih? Z= V Ilswcr. ( i ) ( `)

T w`hh promugc promugc houmcr houmcr sou soulm lm dcgiusc dcgiusc `ts if ifph`tum ph`tumcc `s forc tbil ^ ilm Y.

( `` ) ]bc soulm soulm oa ^ str`le str`le w`hh b bivc ivc f fix`f ix`fuf uf sbr`hhlcss. sbr`hhlcss. ( ``` ) ]bc ritò ritò oa w wivchc ivchcletb letb oa oa ^ il ilm m T `s 9 ; 7. ( d ) ( `)

R - T i ys .

( `` )

7 Õ 9>2 f/s.

(``` ) R-Tiys irc uscm uscm aor aor mctcgtòl mctcgtòl oa arigturc arigturc `l dolc dolcs. s.

bttps;//www.irulmccpschabchp.`lao/

^b =4

4>9=

( g ) ( `)

]bc uhtrisol`g uhtrisol`g wivcs wivcs trivch ulm ulmcvìtc cvìtcm m tbroueb tbroueb hole m m`stilgcs `stilgcs ilm ilm tbcy gil dc gola`l gola`lcm cm to i lirrow dcif.

(`` ) M`stil M`stilgc gc o oaa i`r i`rgri griat at 6 7> j jf f 6 7> Õ 9>>> 9>>> f 6 7>,>> 7>,>>> >f ]otih m`stilgc 6 4 Õ 7>,>>> 6 1>,>>> f ]`fc tijcl 6 4 Õ 9> ‗= scgolm Bclgc, Wpccm oa soulm Q 6

6

1>,>>> 4 ½ 9>-

=

m`stilgc trivchhcm (4m ) t`fc tijcl (t )

6 7>,>>> Õ 9>= f/s

6 7 Õ 9>2 f/s. Yucstòl 2. (i) ]wo rcs`s rcs`stor torss oa = U ilm 1 U irc gollcgtcm `l pirihhch to i gchh to mriw >.3 I gurrclt arof tbc gchh. ( `)

Mriw i hidchhc hidchhcm m g`rgu`t g`rgu`t m mìeri ìerif f sbow`l sbow`le e tb tbcc idovc idovc irrilecf irrilecfcl clt. t.

( `` ) Gihguhitc tbc gurr clt `l cigb r cs`stor. ( d ) ( `)

Z 7V

Ubit Ubit `s il Obf Obf`g rcs` rcs`st stor or??

( `` ) ]wo goppcr goppcr w`rcs irc oa tbc sifc hcletb, dut olc `s tb`gjcr tbil tbc otbcr. (9) Ub`gb Ub`gb w w`rc `rc w`hh w`hh b bivc ivc forc forc rcs`st rcs`stilgc ilgc?? ( 4 ) U b`gb w` r c w`hh bivc for c spcgà`g r cs `sti lgc? ( g ) ( `)

Z 7V

]wo scts scts I ilm D, oa oa tbc tbrcc tbrcc duhds duhds cigb, cigb, irc eho ehow`le w`le `l two scpiritc roofs. roofs. Ubcl Ubcl olc oa tbc duhds `l sct I `s auscm, tbc otbcr two duhds, ihos gcisc to ehow. Dut `l sct D, wbcl olc duhd auscs, tbc otbcr two duhds golt`luc to ehow. Cxphi`l wby tb`s pbclofcl pbcl ofclol ol oggur ogg ur s.

( `` ) U by mo wc pr cacr i r r i lecfclt oa Wct D aor bousc g `r gu`t`le?

Z 7V

Ilswcr. ( i ) ( `) =U

1U

>.3I

r

6 >.1 U

9.3 Q

( `` ) Hc Hctt ggur urrc rclt lt tbr tbrou oueb eb =U rcs`stilgc `s ` tbcl gurrclt tbroueb 1 U rcs`stilgc `s (>.3 ‗ `)

X

` Õ = 6 (>.3 ‗ `) Õ 1

=` 6 7 ‗ 1`

bttps;//www.irulmccpschabchp.`lao/

^b =7

4>9=

=` + 1` 6 7 9>` 6 7 ` 6 >.7 I

X (d ) ( ` )

Gurrclt tbroueb =U rcs`stilgc 6 >.7 I ilm gurrclt tbroueb 1U rcs`stilgc 6 >.3 ‗ >.7 6 >.4 I Obf`g Tcs`stors ; ]bc ; ]bc golmugtors wb`gb odcy Obf‐s hiw irc gihhcm tbc Obf`g rcs`stors or h`lcir rcs`stilgcs. Aor sugb rcs`stors, i eripb phottcm aor tbc potcltìh màacrclgc Q iei`lst gurrclt @ `s i strièbt h`lc.

(`` ) (9) ]b`l ]b`l w`rc w`rc w`hh w`hh bivc bivc f forc orc rcs`stilg rcs`stilgcc dc dcgiu giusc sc tbc tbc rcs`stil rcs`stilgc gc `s `s `lvcrsc `lvcrschy hy prop proport` ortòl olih ih to irci oa gross-scgtòl. (4) Wpcg` Wpcgà`g a`g rcs`stilgc rcs`stilgc oa oa dotb w`rc `s sifc sifc dcgiusc dcgiusc spcgà spcgà`g `g rcs`stilgc mcpclms mcpclms upol upol tbc liturc oa tbc fcmùf wb`gb `s tbc sifc (goppcr) `l dotb giscs. ( g ) ( `)

]bc duhds duhds oa sct sct I irc gollcgtc gollcgtcm m `l sc scr`cs. r`cs. ]b ]bcrcaorc crcaorc wbcl olc duhd ausc tbc tbc gurrclt gurrclt stop ahow`le. Ubcrcis tbc duhds duhd s oa sct D irc ir c gollcgtcm `l pirihhch. Ubcl olc duhd ausc tbcl tbc gurrclt ahows tbroueb tbc otbcr duhd.

(`` ) Wct D prcacr prcacr pirihhch gof gofd`litòl d`litòl dcgiusc `l `t potcltìh potcltìh màacrclgc màacrclgc rcfi`ls rcfi`ls sifc. Yucstòl 0. (i) Bcit clcrey `s supph`cm supph`cm it i golstilt golstilt ritc to 9>>e oa `gc it > »G. ]bc `gc `s golvcrtcm golvcrtcm `lto witcrr it > »G `l 4 f`lu witc f`lutcs. tcs. Bow fug fugb b t`fc w`hh dc rcqu`rcm rcqu`rcm to ri`sc tbc tcfpcrit tcfpcriturc urc oa ‗9 ‗9 witcrr arof > »G to 4> »G? ZE`vcl ; sp. bcit gipig`ty witc gipig`ty oa witcr witcr 6 =.4 K e » »G G , sp. hitclt ‗9 bcit bcit oa `gc 6 771 K e V . Z =V (d) Wpcgà`g Wpcgà`g bcit bcit gipig`ty oa sudstilgc sudstilgc I `s 7.2 K e ‗9 J  ‗9 wbcrcis tbc Wpcgà`g bcit gipig`ty oa sudstilgc D `s >.= K e ‗9 J  ‗9 . ( `)

Ub`gb Ub`gb oa oa tb tbcc two `s i e eoo oom m gol golmu mugtor gtor oa bc bcit? it?

( `` ) Bow `s `s ol olcc hcm to tbc idov idovcc gol golghu ghusò sòl? l? ( ``` ) @a sudstilgcs I ilm D irc h`qu`ms tbcl wb`gb wb`gb olc wouhm dc f forc orc uscauh `l gir rimìtors? Z7V Z7 V ( g ) ( `)

Wtitc ily two two fcisurc fcisurcss to f`l f`l`f`zc `f`zc tbc `fpigt `fpigt oa ehodih wirf`l wirf`le. e.

( `` ) Ub U bit ` s tbc Er cclbousc caacgt?

Z7V

Ilswcr. (i (i)) f 6 9>>e, t   6 6 4 f`lutcs 6 4 Õ 1> scg. scg. Bcit clcrey clcrey tijcl tijcl dy `gc it >»G to golvcrt golvcrt to witcr it >»G. Y 6 fH 6 9>> Õ 771 6 771>> K

X

^6

Y t

6

771>> 4 ½ 1>

6 42> K/W

]bc bcit clcrey rcqu`rcm to golvcrt witcr it >»G to 4>»G. Y 6 fG Mt 6 9>> Õ =.4 Õ 4> 6 2=>> K Y 6 ^ Õ t

bttps;//www.irulmccpschabchp.`lao/

^b ==

4>9=

2=>> 6 42> Õ t t   6 6

2=>> 42>

t  6 6 7> scg. 6 >.3 f`l. (d) ( `) Wu Wudstil dstilgc gc D `s i eoom eoom golm golmugt ugtor or oa bcit. bcit.

(`` ) Dcgiusc spcgà`g spcgà`g gipig`ty gipig`ty oa D `s hcss tbcl tbcl tbit tbit oa I. Zhowcr tbc tbc spcgà`g spcgà`g bcit bcit gipig`ty, gipig`ty, dcttcr tbc golmugt`le golmugt`le powcrV (``` ) Wudstilgc Wudstilgc I `s fo forc rc uscauh uscauh `l ggir ir rimìtor. ( g ) ( `)

]wo fcisu fcisurcs rcs to f`l`f f`l`f`zc `zc tbc tbc `f `fpig pigtt oa eho ehodih dih wirf wirf`le `le irc ; (9) ]cgb cgblo loho hoe` e`gih gih fcisu fcisurcs rcs (4) Cgolo Cgolof` f`gg fcisurc cisurcss

(`` ) ]bc erccl erccl bousc bousc caa caacgt cgt `s tbc pbc pbclof lofclo clol l `l wb`gb `l `larircm arircm rimìtòls rimìtòls oa hole wivchc wivchcletb letb e`vcl out arof tbc suraigc oa tbc cirtb irc idsordcm dy `ts itfospbcr`g eiscs to jccp tbc clv`rolfclt wirf it tbc cirtb‐s suraigc ilm tbc howcr itfospbcrc. Yucstòl 9>. ( i ) ( `)

Lifc two two aigtors aigtors ol w wb`gb b`gb tbc tbc f fiel`tu iel`tumc mc oa il `lmugcm `lmugcm c.f.a. c.f.a. `l tbc scgolmiry scgolmiry go`h go`h mcpclms.

( `` ) @l tbc aohhow`le mìerif il irrow sbows tbc tbc fotòl fotòl oa oa tbc go`h towirms tbc dir fielct. (9) Wtitc Wtitc `l wb`gb wb`gb m`rc m`rcgtò gtòl l tbc gu gurrcl rrcltt ahow ahows, s, I to D or D to I? (4) Lifc tbc hiw uscm uscm to gofc gofc to tbc golghu golghusòl. sòl. Fielct W L I

D

(d) I lu lughc ghcus us 99 Li 4= cf`ts i dcti pirt`ghc to gbilec `lto Fielcsùf (Fe) ( `)

Ur`tc Ur`tc tbc tbc syfd syfdoh` oh`gg cquit cquitòl òl aor tbc tbc prog progcss css..

( `` ) Ubit Ubit irc luf lufdc dcrs rs 4= ilm 99 gihhc gihhcm? m? 4= ( ``` ) Ubit `s tbc tbc eclcrih eclcrih lifc lifc oa oa 94 Fe w`tb rcspcgt to

4= 99 Li

?

Z7V

(g ) @l i gitbomc gitbomc riy tudc tudc stitc stitc ; ( `)

]bc purposc purposc oa ggovc ovcr`le r`le gitbo gitbomc mc dy tborùf tborùf ilm ilm ggirdol irdol..

( `` ) ]bc purposc purposc oa tbc ahuorcsgcl ahuorcsgcltt ssgrccl grccl.. ( ``` ) B ow ` s `t poss`dhc t o `lg r ci sc t bc r i tc o a cf`ssòl oa ch cgt r ols.

Z7V

Ilswcr.

( i ) ( `)

]bc fiel`tumc fiel`tumc oa `lmug `lmugcm cm c.f.a. c.f.a. `l tbc scgolmiry go`h mcpclms mcpclms ol tbc tbc aohhow`le aohhow`le two two aigtors aig tors ;

bttps;//www.irulmccpschabchp.`lao/

^b =3

4>9=

(9) ]bc ]bc ggbil bilec ec `l tbc fiel fielct` ct`gg ah ahux, ux, ilm ilm (4) ]bc t`fc `l wb`gb wb`gb ttbc bc fielc fielct`g t`g aahux hux gbilecs. gbilecs. ( `` ) (9 ( 9 ) I to D 4=

( 4) 4=

Hclz ‐s h i w.

>

94 Fe + ‗9 c ( d ) ( `) 99 LI ( `` ) ]bc lufdcr 4= `s itof`g fiss lufdcr lufdcr (lufdcr (lufdcr oa protols ilm lcutrols) ilm 99 `s itof`g lufdcr.

( ``` ) ]b ]bcy cy irc `so `sodir dirs. s. ( g ) ( `)

]bc purposc purposc oa govcr`le govcr`le gitbomc gitbomc dy tborù tborùf f ilm girdol `s to mcgrcisc mcgrcisc tbc tbc worj aulgtòl or to cf`t chcgtrols it howcr tcfpcriturc.

( `` ) ]o golv golvcrt crt chcg chcgtr`gih tr`gih s` sèlih elih `l `lto to i v`suih sèlih. sèlih. ( ``` ) Dy `lgrcis`le tbc tcfpc tcfpcriturc riturc oa gitbomc or Dy `lgrcis`le tbc a`hifclt a`hifclt gurrclt, tbc ritc oa cf`ssòl oa chcgtrols arof tbc gitbomc w`hh `lgrcisc.

bttps;//www.irulmccpschabchp.`lao/

îecs =1 to 35

bttps;//www.irulmccpschabchp.`lao/

@GWC YSCW]@OL Î ^CT-4>91 (W (WOHQC OHQCM) M) ^BPW@GW WG@CLGC îpcr ‗ 7 (Olc bour ilm i biha) Ilswcrs to tb`s îpcr fust f ust dc wr`ttcl ol tbc pipcr prov`mcm scpiritchy. scpiritc hy. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl îpcr, ]bc t`fc e`vcl it tbc bcim oa tb`s îpcr `s tbc t`fc ihhotcm aor wr`t`le tbc ilswcrs. Ittcfpt ihh i hh qucstòls arof Wcgtòl @ ilm ily aour qucstòls arof a rof Wcgtòl @@. ]bc `ltclmcm firjs oa qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts Z V. WCG]@OL @ (=> Firjs) Ittcfpt  ihh ihh qucstòls arof tb`s Wcgtòl Yucstòl 9 (i)

(`) E`vc il cxifphc oa oa i lol goltigt goltigt aorgc wb wb`gb `gb `s ihwiys oa ittrigt`vc liturc. (``) Bow mocs tbc fiel`tumc oa oa tb`s lol goltigt aorgc ol tbc two dom`cs mcpclm o ol l tbc m`stilgc oa scpiritòl dctwccl tbcf? Z4V (d) I doy wc wcèb`le èb`le => jea gh`fds gh`fds up i sti`r oa 7> stcps cigb 4> gf bèb `l = f f`lutcs `lutcs ilm i e`rh wcèb`le 7> jea mocs tbc sifc `l 7 f`lutcs. Gofpirc; (`) ]bc worj molc dy tbcf. tbcf. (``) ]bc powcr mcvchopcm dy tbcf. Z4V (g ) U`tb rcacrclgc to tbc tcrfs Fcgbil`gih Imviltiec, Imviltiec, Qchog`ty Qchog`ty Titò ilm caa`g`clgy oa i f figb`lc, igb`lc, lifc ifc il ilm m mca` a`l lc tb tbc tcrf tcrf tbit tbit w`hh `hh lot ggb bil ilec ec aor aor fig figb b`l `lcc oa i e` e`v vcl mcs` mcsèl el.. Z4V o (m) Gihguhitc tbc f fiss iss oa `gc rcqu`rcm rcqu`rcm to howcr howcr tbc tcfpc tcfpcriturc riturc oa 7>> e oa witcr witcr => G to witcr witcr it o > G. Z4V o

(Wpcgà`g hitclt bcit oa `gc 6 771 K/e, Wpcgà`g bcit gipig`ty oa witcr 6 =.4K/e G) (c) Ubit mo you you ulmcrstilm ulmcrstilm dy tbc aohhow aohhow`le `le stitcfc stitcfclts; lts; (`) ]bc bcit bcit gipig`ty oa tbc domy `s 1>KJ -9. (`` (``)) ]bc spcgà`g spcgà`g bcit gipig`ty oa oa hcim `s 97> Kje-9J -9. Z4V Ilswcr; ( (i) i) (`) ]bc cxifphc cxifphc oa lol-goltigt lol-goltigt aorgc aorgc `s eriv`titòlih aorgc. @t `s ihwiys ittrigt`vc `l liturc. (``) ]bc fiel`tumc fiel`tumc oa lol-goltigt lol-goltigt aorgcs igt`le ol two dom`cs dom`cs mcpclms ol tbc m`stilgc oa scpiritòl dctwccl dctwcc l ttbcf bcf.. ]bc fiel`tumc fiel`tumc oa aorgc mcgrciscs w`tb il `lgrcisc `l scpiritòl ilm i lm `lgrciscs is tbc scpiritòl mcgrciscs. @t vir`cs `lvcrschy is tbc squirc oa tbc m`stilgc oa scpiritòl. (d) E`vc E`vcl l; Aorgc oa eriv`ty oa tbc doy, A d 6 => jea ]`fc tijcl dy b`f, t d 6 = f`lutc f`lutcss 6 = Õ 1> s 6 4=> s Aorgc Aor gc oa eriv`ty oa tbc e`rh, Ae 6 7> jea ]`fc tijcl dy bcr, te 6 7 f`lut `lutcs cs 6 7 Õ 1> s 6 92> s ^b 1>

4>91

bttps;//www.irulmccpschabchp.`lao/

^b 19

M`stilgc govcrcm dy dotb `l 7> stcps `s M 6 7> Õ 4> 6 1>> gf Ub`hc gh`fd`le, dotb bivc to mo worj iei`lst tbc aorgc oa eriv`ty. (`) Uorj molc molc dy tbc doy `l gh`fd`le tbc sti`rs; U d 6 A Õ M 6 => jea jea Õ 1>> gf U d 6 4=>>> K Uorj molc dy tbc e`rh `l gh`fd`le tbc sti`rs; Ue 6 A Õ M 6 7> jea Õ 1>> ggf f Ue 6 92>>> K

®

X

U d Ue

6

4=>>>K 92>>>K

U d = 6 Ue 7

(` (``) `) ô ôwcr wcr mcvcho mcvchopcm pcm

Uorj molc 6

]`fc tijcl

Aor tbc doy ; ôwcr Mcvchopcm 6

4=>>> K 4=> s

6 9>>U

Aor tbc e`rh ; ôwcr Mcvchopcm 6

92>>> K

6 9>>U

92> s

]bus, powcr mcvchopcm dy tbcf `s 9 ; 9 Or (` (`)) Uor orj j molc molc dy tbc tbc doy doy 6 => Õ 9> Õ 1 6 4=>> K Uorj molc molc dy tbc e`rh e`rh 6 7> Õ 9> Õ 1 6 02>> K X Titò 6 4=>> ; 92>> 6 = ; 7 (` (``) `) ô ôwcr wcr oa doy 6

ôwcr oa e`rh 6

4=>> = ½ 1> 4=>> 7 ½ 1>

6 9> witt

6 9> witt witt

X Titò 6 9 ; 9 (g) Qchog`t chog`ty y ritò. ritò. @t `s tbc ritò oa tbc vchog`ty oa caaort to tbc vchog`ty oa hoim.

4>91

bttps;//www.irulmccpschabchp.`lao/

^b 14

4>91

Q.T. 6 QC . QH Qchog`ty ritò mocs lot gbilec. (m) Hct f dc tbc fiss fiss oa tbc `gc to dc immcm. immcm. Bcit clcrey clcrey rcqu`rcm rcqu`rcm to fcht fcht to howcr tbc tcfpcritu tcfpcriturc rc `s 6 fH 6 f Õ 771 Bcit clcrey `fpirtcm dy tbc witcr `l aihh oa `ts tcfpcriturc tcfpcriturc arof =>¾G to >¾G 6 fiss oa tbc witcr Õ spcgà`g bcit gipig`ty Õ aihh `l tcfpcriturc. 6 7>> Õ =.4 Õ =>¾G @a tbcrc `s lo hoss oa bcit, f Õ 771 K/e 6 7>> e Õ =.4 K/e¾G Õ =>¾G

∽ f6

7>> Õ =.4 Õ => 771

f 6 93>e ∽ (c) (`) Bcit gipig`ty `s tbc ifoult ifoult oa bcit rcqu`rcm to ri`sc tbc tcfpcriturc tcfpcriturc oa i domy domy dy 9¾G or 9 J. ‗9 ]bus, 1> KJ oa clcrey `s rcqu`rcm to ri`sc tbc tcfpcriturc oa tbc e`vcl domy dy 9 J. (``) Wpcgà`g bcit gipig`ty `s tbc ifoult oa bcit clcrey clcrey rcqu`rcm to ri`sc tbc tcfpcritur tcfpcriturcc oa ul`t fiss ‗9 ‗9 oa i sudstilgc tbroueb 9¾G or 9J. ]bus, 97> KJe J oa bcit clcrey rcqu`rcm to ri`sc tbc tcfpcriturc oa ul`t fiss oa hcim tbroueb 9 J. Yucstòl 4 (i) Wti tc two aigtors upol wb`gb tbc bcit idsordcm dy i domy mcpclms. Z4V (d) I doy uscs dhuc gohour oa oa hèbt to a`lm tbc rcarigt`vc `lmcx `lmcx oa ehiss. Bc tbcl rcpcits tbc cxpcr`fc cxpcr`fclt lt us`le rcm gohour oa hèbt. U`hh tbc rcarigt`vc `lmcx dc tbc sifc or màacrclt `l tbc two giscs? E`vc i rcisol t o support your ilswcr. Z4V I

(g (g)) Gopy tbc mìerif e`vcl e`vcl dchow ilm gofphctc gofphctc tbc tbc pitb oa tbc tbc hèbt riy t`hh `t cfcrecs out oa tbc pr`sf. ]bc gr`t`gih ilehc oa ehiss `s =4¾. @l your mìerif fi rrj j tbc ilehcs wbcr cv cvcr lcgcssi ry ry. Z 4V 4V

1>¾

^

(m) Wtitc tbc mcpclmc mcpclmclgc lgc oa ilehc ilehc oa mcvìtòl; mcvìtòl; Y (`) Ol tbc rcarigt`vc rcarigt`vc `lmcx `lmcx oa tbc fitcrìh oa tbc pr`sf. 1>¾ 1>¾ (``) Ol tbc wivchclet b oa hèbt Z4 V D G (c) ]bc ritò oa oa ifph`tumc ifph`tumc oa two wivcs `s 7;=. Ubit `s tbc ritò o oaa tbc`r; (`) ho houm umlc lcss? ss? (``) Arcquclg`cs? Z4 V Ilswcr ; (i) Bcit idsordcm ids ordcm dy i domy mcpclms ol tbc fiss oa tbc domy, domy, gbilec `l tcf tcfpcriturc pcriturc oa tbc domy ilm tbc spcgà`g bcit gipig`ty oa tbc domy. (d) ]bc rcarigt`vc rcarigt`vc `lmcx `lmcx w`hh dc màacrclt màacrclt `l dotb ggiscs. iscs. Tcarigt`vc `lmcx oa ehiss `s màacrclt aor màacrclt gohours. ]bc spccm oa dhuc hèbt `s hcss tbil tbc spccm oa rcm hèbt. Wo, tbc wivchcletb oa dhuc hèbt `s hcss tbil tbit oa rcm hèbt. ]bus, rcm hèbt wouhm mcvìtc hcss tbil dhuc hèbt dcgiusc oa màacrclgc `l wivchcletb.

bttps;//www.irulmccpschabchp.`lao/

^b 17

4>91

(g) ]bc mìerif mìerif `s `s is sbow sbowl l;

(m) (`) Ilehc oa oa mcvìtòl `s m`rcgthy m`rcgthy proportòlih to tbc rcarigt` rcarigt`vc vc `lmcx oa oa tbc fitcrìh oa pr`sf. Aor Aor i e`vcl ilehc oa `lg`mclgc, tbc pr`sf w`tb bèbcr rcarigt`vc `lmcx promugcs i ercitcr mcvìtòl tbil tbc pr`sf wb`gb bis i howcr rcarigt`vc `lmcx. ]bus, tbc ilehc oa mcvìtòl `lgrciscs w`tb il `lgrcisc `l tbc rcarigt`vc `lmcx oa tbc fcmùf. (`` (``)) Ilehc oa mcvìtòl mcvìtòl `s `lvcrschy propotòlih to tbc wivchcletb oa tbc hèbt uscm. ]bc ilehc oa mcvìtòl mcgrciscs w`tb il `lgrcisc `l tbc wivchcletb oa hèbt. ]bus, i pr`sf mcvìtcs vòhct hèbt tbc fost ilm rcm hèbt tbc hcist. (c) (`) Hct i9 ilm i4 dc tbc ifph`tumcs ilm @ 9 ilm @4 dc tbc `ltcls`t`cs oa tbc two wivcs. @9

∽ @ 4 @9

∽ @ 4

6

6

i94 i44

6

0 91

74 =4

Ü @ 9 ; @ 9 6 0 ; 91

(``) Arcquclgy `s tbc lufdcr lufdcr oa wivcs aorfcm aorfcm pcr scgolm. @t olhy mcpclms mcpclms ol t`fc pcròm. ]bus, tbc ritò oa tbc`r arcquclg`cs `s 9;9. Yucstòl 7 (i) Wtitc two wiys dy wb`gb tbc tbc arcquclg arcquclgy y oa trilsvcrsc v` v`dritòls dritòls oa i strctgb str`le gil dc `lgrciscm. Z4V (d) Ubit `s fcilt fcilt dy lo`sc lo`sc pohhutòl? pohhutòl? Lifc olc sourgc oa oa soulm soulm gius`le lo`sc pohhutòl. pohhutòl. Z4V (g (g)) ]bc Q-@ Q-@ eripb aor i scr`cs gofd`litòl gofd`litòl ilm aor aor i pirihhch gofd`litòl oa oa two rcs`stors `s sbowl `l tbc aèurc dchow. Ub`gb oa tbc two I or D. rcprcsclts tbc pirihhch gofd`litòl? E`vc rcisols aor your i lswcr. Z4V

bttps;//www.irulmccpschabchp.`lao/

^b 1=

4>91

(m (m)) I fu fuss`g sy syst stccf mri mriw ws i gu gurrcl rrclt oa oa = =>> >> f fI I wbcl bcl ggol oll lcgt gtcm cm to i 94 94 Q dit dittc tcry ry.. Z4V (` (`)) Ubit Ubit `s tbc rcs`sti rcs`stilg lgcc oa tbc fus`g fus`g systc systcf f? (``) ]bc fus`g fus`g systcf à hcat phiy`le aor scvcrih bours ilm a`lihhy tbc dittcry vohtiec mrops to 74> fI ilm tbc fus`g systcf stops phiy`le wbcl tbc gurrclt. (c) Gihguhitc tbc quilt`ty oa oa bcit p promug romugcm cm `l i 4> U rcs`stor girry`le 4.3 I gurrclt `l 3 f`lutcs. Z4V Ilswcr ; (i) ]bc arcquclg arcquclgy y oa trilsvcrsc v`dritòl v`dritòl `s e`vcl e`vcl dy a6

or a 6

9

]

4h ώr 4 m 9

]

4h

f

wbcrc h 6 hcletb oa tbc v`drit`le str`le ] 6 tclsòl `l tbc str`le f 6 fiss fiss pcr pcr ul`t hcletb hcletb oa tbc str`le (`) (`` (``)) (` (``` ``)) (d)

(g (g))

]bcrcaorc, tbc arcquclgy oa trilsvcrsc v`dritòl oa i strctgbcm str`le gil dc `lgrciscm dy mcgrcis`le mcgrcis`le tbc hcletb hcletb oa tbc str`le mcgrcis`le mcgrcis`le tbc fiss pcr ul`t ul`t hcletb oa oa tbc str`le `lgrcis`le tbc tclsòl tclsòl ] `l tbc str`le ]bc m`sturdilgc promugcm promugcm `l tbc cclv`rolfc lv`rolfclt lt dcgiusc oa ulm ulmcs`ridhc cs`ridhc houm ilm birsb soulm oa hcvch forc tbil 94> mD arof tbc viròus sourgcs sugb is i houmspcijcr ilm fov`le vcb`ghcs `s gihhcm lo`sc pohhutòl. Cx ; Bolj`le oa vcb`ghcs `l triaa`g kifs. Aor tbc sifc gbilec gbilec `l @, gbilec gbilec `l Q `s hcss aor aor tbc strièbt h`lc I tbil aor tbc strièbt h`lc D (`.c. tbc strièbt I `s hcss forc stccp tbil D). ]bc h`lcrcs`stilgc I rcprcsclts rcprcsclt s sfihh cs`stilgc, wb`hc tbc strièbt h`lc h`lc D rcprcsclts f orc rcs`stilgc. ]bcstrièbt cqu`vihclt `s hcss `l i rpirihhch gofd`litòl gofd`litò l tbil `l i scr`cs gofd`litòl. Wo, h`lc I rcprcsclts i pirihhch gofd`litòl.

(m) (`) E`vcl ; @ 6 =>> fI fI 6 =>> Õ 9> ‗7 I Q 6 94 Q Q 6 @T

∽ T6

Q @

6

94Q =>>Õ9>-7I

∽ T 6 7> ℡ ‗7

(` (``) `) Gurrclt Gurrclt mrops mrops to @ 74> fI ]bc fus`g stops phiy`le it

74> Õ 9> I

Q 6 @T ‗7 6 74> Õ 9> Õ 7> ∽ Q 6 0.1 Q

bttps;//www.irulmccpschabchp.`lao/

13

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t 6 3 f`lutc `lutcss 6 3 Õ 1> 6 7>> s Yuilt`ty oa bcit promugcm `s e`vcl is B 6 @4Tt 6 (4.3)4 Õ 4> Õ 7>>

∽ B 6 753>> K Yucstòl =

(i ) Wti tc tbc gbir igtcr`st`gs rcqu`rcm oa i eoom tbcrfòl cf`ttcr.

Z4V

(d) Il cchcf hcfcl cltt [WI mcgiys to 23T 444 iatcr cf`tt`le 4 i pirt`ghcs ilm 9 d pirt`ghc. A`lm tbc itof`g lufdcr ilm itof`g fi ss oa tbc chcfclt W. Z4V (g (g)) I rimòigt`vc rimòigt`vc sudstilgc `s ox`m`zcm. ox`m`zcm. U`hh tbc tbcrc rc dc ily gbilec `l `l tbc liturc oa `ts rimòigt`v`ty? rimòigt`v`ty? E`vc i rcisol aor your ilswcr. (m) Wt Wtitc itc tbc tbc gbirig gbirigtc tcr`st r`st`g `gss rcqu` rcqu`rcm rcm ``l l i fitc fitcrì rìhh to d dcc usc uscm m is il il caa caacgt cgt`v `vcc aaus uscc w`rc w`rc..

Z4V Z4V

(c) Ub`gb go`h oa i stcp up tri lsaorfcr `s fimc tb`gjcr ilm wby?

Z4V

Ilswcr ;

(i) ]wo gbirigtcr`st`g wb`gb i tbcrfòl`g cf`ttcr cf`ttcr sbouhm posscss posscss irc 9. ]bc wo worj rj aulgtòl oa tbc sudstilgc sbouhm dc how sugb tbit tbc chcgtrols irc cf`ttcm arof `t cvcl wbcl `t `s lot bcitcm to i vcry bèb tcfpcriturc. 4. ]bc f fcht`le cht`le po`lt oa tbc sudstilgc sudsti lgc sbouhm dc qu`tc bèb so tbit `t ` t fiy fiy lot fcht wbcl `t `s bcitcm to tbc tcfpcriturc rcqu`rcm aor tbcrfòl`g cf`ssòl. (d) ]bc mcgiy mcgiy w`hh aohhow aohhow tbc tbc aohhow`le aohhow`le scqucl scquclgc gc I‗= I‗2 I‗2 ι ι δ WI  ↔ z ‗ 4 ^  ↔ z ‗ = Y  ↔ z ‗ 7 T

[

]bcrcaorc, wc bivc [ ‗ 7 6 23 or [ 6 23 + 7 6 22 Ilm I ‗ 2 6 444 or I 6 444 + 2 6 47> [ 6 22, I 6 47> (g (g)) Lo, rimòigt`v`ty `s lot iaacgtcm iaacgtcm dy ily pbys`gih pbys`gih prog progcss. css. (m) ]bc fitcrìh fitcrìh sbouhm bivc bivc bèb rcs`st`v`ty ilm how fcht`le fcht`le po`lt. po`lt. (c) ^r`firy go`h, go`h, is `t bis hcsscr lufdcr lufdcr oa turls. WCG]@OL @@ (=> Firjs) (Ittcfpt ily aour qucstòls arof tb`s Wcgtòl)

Yucstòl 3 (i) I stolc oa fiss ‒f‐ `s rotitcm `l i g`rguhir pitb w`tb i ulàorf ulàorf spccm spccm dy ty`le i strole str`le w`tb tbc bchp oa your bi lm. Ilswcr tbc aohhow`le qucstòls ; (7) (`) @s tbc stolc fov`le fov`le w`tb i ulàorf ulàorf or virìdhc spc spccm cm ?

(``) @s tbc stolc stolc fov`le w`tb i ulàorf iggchcritòl iggchcri tòl ? @l wb`gb m`rcgtòl mocs tbc iggchcritòl iggchcrit òl igt? (` (``` ``)) Ubit j`lm oa aorgc aorgc igts ol tbc bilm ilm stitc `ts m`rcgtòl ? (d) Arof tbc mìeri f e`vcl dchow. ilswcr tbc qucstòl tbit aohhow ; (7)

bttps;//www.irulmccpschabchp.`lao/

^b 11

4>91

D

] ] I

] G

H

(`) Ubit j`l j`lm m oa puhhcy puhhcyss irc I ilm D ? (`` (``)) Wtitc tbc purposc purposc oa puhhcy D. D. (` (``` ``)) Ubit caaort caaort bis to dc ipph`cm ipph`cm it G kust ri`sc tbc hoim H 6 4> jea ? (Lcehcgt tbc wcèbt oa puhhcy I ilm ar`gtòl) (g (g)) (`) Il caaort caaort `s ipph`cm ol tbc dèecr wbcch wbcch oa i ecir biv`le 74 tcctb. @t `s uscm to turl i wbcch oa 2 tcctb. Ubcrc `t `s uscm. (``) I puhhcy systcf bis tbrcc puhhcys. I hoim oa 94> L `s ovcrgofc dy ipphy`le il caaort oa 3> L. Gi hguhitc tbc Fcgbil`gih Imviltiec ilm Caa`g`clgy oa tb`s systcf. (=) Ilswcr ; (i) (`) ]bc stolc `s fov`le w`tb ulàorf spccm spccm is e`vcl `l tbc qucstòl. qucstòl. (``) Ihtboueb tbc stolc `s rotit`le w`tb ulàorf spccm, `ts m`rcgtòl jccps ol iggchcritòl. ]bc m`rcgtòl oa iggchcritòl `s towirms tbc gcltrc oa tbc g`rguhir pitb. (` (``` ``)) Gcltràueih Gcltràueih aorgc igt`le igt`le rimìhhy outwirms. outwirms. (d) (`) ]bc puhhcy I `s i s`lehc fovidhc puhhcy ilm D `s i s`lehc a`xcm puhhcy puhhcy.. (`` (``)) Wo is to ipphy tbc caaort caaort `l i golv`l golv`l`clt `clt m`rcgtòl tb tbit it `s vcrt`gihhy mowlw mowlwirms. irms. (` (``` ``)) M`stilgc fovc fovcm m dy hhoim oim m H 6 x / 4. M`stilgc fovcm dy tbc caaort m C 6 x Hoim 6 4> jea, Caaort 6 ? Low,, Hoim Õ m H 6 Caaort Low Caaort Õ m C

4> Õ x / 4 6 Caaort Õ x or Caaort 6 9> jea (g (g)) (`) ]bc lufdcr lufdcr oa tcctb `l tbc mr`v`le mr`v`le w wbcch bcch `s lD 6 74 ilm tbit `l tbc mr`vcl wbcch `s lI 6 2. Bclgc, tb`s systcf `s uscm to odti`l ei`l `l spccm. Ei`l `l spccm 6 l D 6 74 6= lI 2 (` (``) `) Hoim Hoim 6 94> L: L: C 6 3> L: l 6 7 Fcgbil`gih imviltiec oa puhhcy systcf `s

bttps;//www.irulmccpschabchp.`lao/

^b 15

F.I. 6

H C

6

94> 3>

4>91

6 4.=

]bc caa`g`clgy oa tbc systcf `s

ε 6

F.I Q.I

6

4 .= l

6

4.= 7

6>.262>%

Yucstòl 1. (i) (`) Ub U bi t `s tbc pr `lg`phc oa fctbom oa f`xturcs ? (`` (``)) Ubit `s tbc otbcr otbcr lifc e`vcl to `t ? (` (``` ``)) Lifc tbc tbc hiw ol wb`gb wb`gb tbc pr`lg`phc pr`lg`phc `s discm

(7)

(d) Wofc `gc `gc `s bcitcm it i golstilt golstilt ritc, ilm `ts tcfpcriturc `s rc rcgormcm gormcm iatcr iatcr cvcry acw scgolms, scgolms, t`hh stcif `s aorfcm it 9>>¾G. Mriw i tcfpcriturc t`fc eripb to rcprcsclt tbc gbilec. Hidch tbc two pbisc gbilecs `l your eripb. (7) (g ) I goppcr vcssch vcssch oa fiss fiss 9>> e golti`ls 93> e oa witcr it 3>¾G. Bow fugb `gc `s lccmcm to gooh `t to 3¾G ? (=) ‗9 ‗9 E`vcl ; Wpcgà`g bcit gipig`ty oa goppcr 6 >.= Ke ¾G Wpcgà`g bcit gipig`ty oa witcr 6 =.4 Ke ‗9 ¾G ‗9 Wpcgà`g hitclt bcit oa ausòl `gc 6 771 Ke ‗9 Ilswcr ; (i) (`) ]bc pr`lg`phc pr`lg`phc oa fctbom fctbom oa oa f`xturc siys tbit tbc bcit host dy i bot domy `s cquih to tbc b bcit cit ei`lcm dy i gohm domy prov`mcm lo bcit ` s hist to tbc surroulm`les. surroulm`les. (``) ]bc otbcr lifc lifc e`vcl to tbc pr`lg`phc oa f`xturc f`xturc `s tbc pr`lg`phc oa gihor`fctry. (`` (```) `) ]bc pr`lg`phc oa f`xturc `s discm ol tbc hiw oa oa golscrvitòl oa clcrey. clcrey. (d) ]bc aèurc aèurc aor aor pbisc gbilec gbilec `s sbowl dchow ;

Qipor`zitòl

9>> G tcfp >¾G Fcht`le

t`fc

Gorrcgt eripb (Ixcs ilm Wbipc) Fcht`le firjcm Qipor`zitòl ipor`zi tòl firjcm fir jcm (g (g)) Bcit clcrey host host dy tbc vcssch ilm witcr golti`lcm `l `t `l gooh`le gooh`le tbc witcr witcr arof 3>¾G to 3¾G `s uscm `l bcit`le `gc to fcht `t ilm tbcl to ri`sc `ts tcfpcriturc arof >¾G to 3¾G. Low,, bcit clcrey Low clcrey host dy tbc goppcr vcssch `s

bttps;//www.irulmccpschabchp.`lao/

^b 12

4>91

YG 6 fGGG ∁ t 6 9>> Õ >.= Õ (3> ‗ 3) 6 9>> Õ >.= Õ =3 YG 6 92>> K W`f`hirhy, bcit clcrey host dy witcr `s 6 93> Õ =.4 Õ =3 YU 6 fUGU ∁ t 6 93> Õ =.4 Õ (3> ‗ 3) YU 6 4273> K Bclgc, tbc totih bcit clcrey host `s YH 6 92>> + 4273> 6 7>93> K Hct f e oa `gc dc uscm to gooh witcr. Wo, bcit ei`lcm dy `gc `s Y@ 6 fH`gc + fgU ∁ t Y@ 6 771 f + f Õ =.4 Õ 3 6 771f 771f + 49f 6 73 735 5K ]bcrcaorc, arof tbc pr`lg`phc oa gihor`fctry, tbc fiss oa `gc `s YH 6 Y@

∽ 735f 6 7>93> ∽ f6

7>93> 735

6 2=.=3 e

Yucstòl 5. ( i) (7) (`) Ur`tc i rchitòlsb`p dctwccl ilehc oa `lg`mclgc ilm ilehc oa rcarigtòls rcarigt` ols aor i e`vcl pi`r oa fcmì. fcmì. (``) Ubcl i riy oa hèbt cltcrs arof olc fcmùf to ilotbcr biv`le màacrclt màacrclt opt`gih mcls`t` mcls`t`cs cs `t dclms. Uby mocs tb`s pcblofclol oggur ?

(`` (```) `) (d ) (`) (`` (``))

Ur`tc olc golm`tòls golm`tòls wbcrc `t mocs lot dclm wbcl cltcr`le cltcr`le i fcmùf o oaa màacrclt opt`gih mcls`ty. I hc h cls promugc s i v`rtuih `fiec dctwccl tbc odkcgt ilm tbc hcls. (7) Lif Lifcc tbc hcls. hcls. Mriw i riy mìerif to sbow sbow tbc tbc aorf aorfitòl itòl oa tb`s `fiec. `fiec.

(g (g)) Ubit mo you ulmcrstilm ulmcrstilm dy tbc tcrf tcrf ‒Wgittcr`le ‒Wgittcr`le oa hèbt‐ ? Ub`gb gohour gohour oa wb`tc wb`tc hèbt `s sgittcrcm tbc hcist ilm wby ? (=) Ilswcr ; ( (i) i) (`) ]bc ritò oa tbc s`lc oa tbc ilehc oa `lg`mclgc to tbc s`lc oa tbc ilehc oa rcarigtòl `s golstilt aor i e`vcl pi`r oa fcmì gihhcm tbc rcarigt`vc `lmcx 6

s`l ` s`l r

6θ

(``) Ubcl i riy oa hèbt cltcrs arof olc fcmùf to ilotbcr w`tb màacrclt opt`gih mcls`t`cs, `t dclms dcgiusc tbcrc `s i gbilec `l tbc spccm oa hèbt `l tbc two fc fcmùf. mùf. (`` (```) `) I riy oa hèbt piss`le arof olc fcmùf fcmùf to ilotbcr mocs lot dclm wbcl `lg`mclt `lg`mclt lorfihhy it tbc suraigc oa tbc scgolm fcmùf. (d) (`) ]bc `fiec `fiec aorfcm dy tbc hcls `s v`rtuih ilm dctwccl tbc odkcgt ilm tbc hcls. Bclgc, tb tbcc hcls uscm `s i golgivc hcls. (``) ]bc aohhow`le aohhow`le `fiec `s oa aorfitòl aorfitòl oa tbc idovc `fiec ;

bttps;//www.irulmccpschabchp.`lao/

^b 10

4>91

D D9

4A4

I

A4

I9

O

(g (g)) Wgittcr`le `s tbc progcss progcss oa idsorptòl ilm tbcl rc-cf`ssòl rc-cf`ssòl oa hèbt clc clcrey rey w`tbout tbc gbilec gbilec `l tbc wivchcletb. ]bc rcm gohour oa tbc wb`tc hèbt `s sgittcrcm tbc hcist dcgiusc sgittcr`le oa hèbt mcpclms `lvcrschy upol tbc aour powcr oa wivchcletb. Is rcm gohour bis tbc fix`fuf wivchcletb `l tbc v`s`dhc rceòl, tbcrcaorc, `t sgittcrcm tbc hcist. Yucstòl 2. ( i)

(7)

(`) Lifc tbc wivcs wivcs uscm aor aor cgbo mcptb mcptb soulm`le. soulm`le. (`` (``)) E`vc olc olc rcisol aor aor tbc`r usc aor tbc idovc idovc purposc. purposc. (` (``` ``)) Uby irc tbc wivcs wivcs fcltòlcm fcltòlcm dy you l lot ot ium`dhc to us ? (d ) (` (`)) Ubit Ubit `s il il cgbo cgbo (`` (``)) Wtitc two golm`tòls golm`tòls aor aor il cgbo to tijc phigc.

(7)

(g (g)) (`) Lifc tbc pbcl pbclofcl ofclol ol `lvohvcm `lvohvcm `l tul tul`le `le i rimò sct to i pirt`guhir stitòl. (``) Mca`lc tbc pbclofclol pbclofclol lifcm lifcm dy you `l pirt (`) idovc. (` (``` ``)) Ubit mo you ulmcrstilm ulmcrstilm dy houmlcss houmlcss oa soulm ? (`v) @l wb`gb wb`gb ul`ts `s tbc houmlc houmlcss ss oa soulm fcisurcm ? Ilswcr ;

(i) (`) ]bc wivcs wivcs uscm aor cgbo cgbo mcptb soulm`l soulm`le e irc uhtrisol`g wivcs. (``) Shtrisol`g Shtris ol`g wivcs irc uscm uscm aor cgbo mcptb rile`le dcgiusc tbcy gil trivch ulmcvìtcm ulmcvìtcm tbroueb i hole m`stilgc. (`` (```) `) Shtrisol`g Shtris ol`g wivcs wivcs bivc arcquclgy hirecr tbil 4>>>> Bz. Bclgc, tbcsc wivcs irc lot ium`dhc to us is tbc ium`dhc rilec aor tbc bufil cir `s 4> Bz to 4>>>> Bz. (d) (`) ]bc soulm soulm bcirm iatcr rcahcgtòl rcahcgtòl arof i m`stilt odstighc iatcr tbc orè`lih soulm soulm bis gciscm `s gihhcm il cgbo. (`` (``)) ]bc golm golm`tòls `tòls aor il cgbo cgbo to tijc tijc phigc irc

bttps;//www.irulmccpschabchp.`lao/

^b 5>

4>91

i. ]bc f`l`fu f`l`fuf f m`stilgc dctwccl dctwccl tbc sourgc sourgc oa soulm ilm tbc rcahcgtor rcahcgtor `l i`r fust dc it hcist prcsclt 91 to 92 f. d. ]bc s`zc oa tbc rcahcgtor rcahcgtor fust fust dc hirec h irec cloueb is gofpircm gofpircm tto o tbc wivchcletb oa soulm wivc. (g (g)) (`) ]bc pbclof pbclofclo clol l `lvohvcm `l tul`le i rimò sct to i pirt`guhir stitòl `s gihhcm rcsolilgc. rcsolilgc. (``) Tcsolilgc ; Ubcl tbc arcquclgy oa il cxtcrlih cxtcrlihhy hy ipph`cm pc pcròm`g ròm`g aorgc ol i domy `s cquih to `ts liturih arcquclgy a rcquclgy,, tbc domy rcim`hy dce`ls to v`dritc v`d ritc w`tb il `lgrciscm `lgrci scm ifph`tumc. ]b`s pbclofclol pbclofclol `s jlowl is rcsolilgc. (`` (```) `) Houmlcss `s tbc propcrty dy v`rtuc oa wb`gb i houm soulm gil dc m`st`leu`sbcm arof i ai`lt olc, dotb biv`le tbc sifc p`tgb ilm quih`ty. quih`ty. (`v) ]bc houmlcss houmlcss oa soulm soulm `s fcisurcm fcisurcm `l pbol pbol / m d / dch. Yucstòl 0. ( i) (7) (`) Ub`gb pirt`ghcs pirt`ghcs irc rcspols`dhc rcspols`dhc aor gurrclt gurrclt `l golmug golmugtors tors ? (``) ]o wb`gb w`rc oa i gidhc `l i powcr g`rgu`t sbouhm tbc fctih fctih gisc oa i ecyscr dc gollcgtcm ? (d ) (7) (`) Lifc tbc trilsaorfc trilsaorfcrr uscm `l tbc powcr powcr trilsf`tt`le stitòl oa oa i powcr philt. (`` (``)) Ubit typc oa gurrclt gurrclt `s trilsf`ttcm arof arof tbc powcr powcr stitòl ? 94 Q (` (``` ``)) It wbit vohtiec vohtiec `s tb`s gurrclt ivi`hidhc to our bousc bouscbohm bohm ? 4U (g) I dittcry oa cfa 94 Q ilm `ltcrlih `ltcrlih rcs`stilgc 4 U `s gollcgtcm w`tb two rcs`stors I ilm D oa rcs`stilgc = U ilm 1 U r rccspcgt`vchy ko`lcm `l scr`cs. (=) A`lm ;

I (`) Gurrc Gurrclt lt `l tbc g`rgu g`rgu`t `t =U (`` (``)) ]bc tcrf`lih tcrf`lih vohtiec oa oa tbc gchh. gchh. (` (``` ``)) ]bc potcltìh potcltìh màacrclgc màacrclgc igross 1 U Tcs`stor. (`v) Chcgtr`gih clcrey clcrey spclt pcr f`lutc f`lutc `l = U rcs`stor. Ilswcr ; (i) (`) Chcgtrols irc rcspols`dhc aor aor gurrclt `l golmugtors. golmugtors. (``) ]bc fctih fctih gisc oa i ecyscr sbouhm dc gollcgtcm gollcgtcm to tbc Cirtb w`rc. (` (``` ``)) ]bc ausc sbouhm sbouhm ihwiys dc gollcgtcm gollcgtcm to tbc h`vc w`rc. (d) (`) I stcp-up trilsaorfcr trilsaorfcr `s uscm `l tbc powcr trilsf trilsf`tt`le `tt`le stitòl oa i powcr powcr philt. (`` (``)) Il ihtcrlit`le ihtcrlit`le gurrclt `s trilsf`ttcm arof tbc powcr powcr stitòl. (`` (```) `) ]bc gurrclt `s ivi`hidhc ivi`hidh c to our bouscbohm it i vohtiec oa 44> Q Q.. (g) C 6 94 Q : r 9 6 4 U: T I 6 = U: T D 6 1 U (`) ]b ]bcc gurrclt gurrclt `l tbc tbc g`rgu`t g`rgu`t `s @6

C T totih

6

D 1U

C T9 + T I + T D

bttps;//www.irulmccpschabchp.`lao/

^b 59

4>91

94

∽ @ 6 4 + = + 1 6 9I (`` (``)) ]bc tcrf`lih vohtiec oa oa tbc gchh `s ].Q. 6 @T ].Q. 6 9 Õ (1 + =) ].Q. 6 9> Q (` (``` ``)) ]bc potcltìh potcltìh màacrclg màacrclgcc igross tbc 1 ℡ rcs`stor `s QD 6 @T D

∽ QD 6 9 Õ 1 6 1 Q (`v) ]bc chcgtr`gih chcgtr`gih clcrey clcrey spclt spclt pcr f`l f`lutc utc (6 1>s) `s 4 U 6 @ Tt U 6 94 Õ = Õ 1> 6 4=> K Yucstòl 9>.

(i (i)) Irr rril ile ec ι , δ , ilm   η rrii ys `l isgclm`le ormcr w`tb r cspcgt to tbc`r

(7)

(` (`)) ^cl clcctrit`l trit`le e powc powcr. r. (` (``) `) @o @ol`s l`s`le `le powcr powcr.. (` (``` ``)) Dòhoe`gih Dòhoe`gih caacgt. caacgt. (d )

(7)

(`) @l i gitbomc gitbomc riy tudc wbit wbit `s tbc aul aulgtòl gtòl oa ilomc ilomc ? (`` (``)) Wtitc tbc clcrey golvcrsòl golvcrsòl tij`le phigc `l i gitbomc gitbomc riy tudc. (` (``` ``)) Ur`tc olc olc usc oa oa gitbomc riy tudc. ( g)

(7)

(`) Tcprcsclt Tcprcsclt tbc gbilec `l tbc lughcu lughcuss oa i rimòigt`vc chcfc chcfclt lt wbcl i δ pirt`ghc `s cf`ttcm. (``) Ubit `s tbc lifc e`vcl to chcfclts w`tb w`tb sifc fiss luf lufdcr dcr ilm màacrclt itof`g lufdcr. lufdcr. (`` (```) `) Slmcr wb`gb golm`tòls golm`tòls mocs tbc lughcus lughcus oa il itof tclm to rimòigt`vc ? Ilswcr ;

(i) (`) ^cl ^clctrit`l ctrit`le e powcr powcr ; ι 8 δ 8 η (` (``) `) @o @ol`s`l l`s`le e powcr powcr ; η 8 δ 8 ι (` (``` ``)) Dòhoe`gi Dòhoe`gihh caacgt caacgt 6 ι 8 δ 8 η (d) (`) @l i gitbomc gitbomc riy tudc, tbc ilomc iggchcrit iggchcritcs cs tbc chcgtrols ilm ihso aoguscs tbcf `l i a`lc clcrect`g clcrect`g dcif. (``) @l i gitbomc riy tudc, chcgtr`gih chcgtr`gi h clcrey `s golvcrtcm `lto bcit ilm tbil hèbt clcrey. clcrey. (`` (```) `) I gitbomc riy tudc `s uscm to `lvcstèitc tbc wivc aorf oa il uljlowl ihtcrlit`le ihtcr lit`le potcltìh dy ipphy`le `t ol tbc P-phitcs ilm i jlowl pcròm`g t`fc-discm potcltìh ol tbc R-phitcs or p`gturc tudc oa ].Q.

bttps;//www.irulmccpschabchp.`lao/

^b 54

4>91

(g (g)) (`) @l il ulstidhc lughcus, lughcus, tbc lcutrol `s gbilecm `lto i protol protol dy cf`tt`le i dcti pirt`ghc. ]b ]b`s `s `s rcprcscltcm is > 9 ↔ 99 p + ‗9 c >l (protol) (δ -pir (lcutrol) -pirt` t`gh ghc) c)

(``) Chcfclts w`tb tbc sifc f fiss iss lufdcr dut màacrclt itof`g lufdcrs lufdcrs irc gihhcm `sodirs. (` (``` ``)) ]bc lughcus lughcus oa il itof tclms to dc rimòigt`vc wbcl wbcl ” lughcus lughcus bis forc forc fiss ” lughcus lughcus bis cxgcss clcrey ” lcutrols lcutrols protol ritò rit` o dcgofcs dcgofcs forc tbil 9.7 to 9.3.

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>95 (WOHQCM) WG@CLGC îpcr‗@ (^BPW@GW) (Olc bour ilm i biha bours) Ilswcrs to tb`s pipcr fust dc wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy scpiritchy.. Pou w`hh LO] dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc qucstòl pipcr. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs. Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@. ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls ir ircc e`vcl `l drigjcts Z V. WCG]@OL ‗ @ (=> Firjs)

(Ittcfpt ihh qucstòls arof tb`s Wcgtòl) Yucstòl 9.

(i) I driss dihh `s bile`le arof i stàa gottol tbrcim. tbrcim. Mriw i lcit hidchhcm mìerif sbow`le tbc tbc aor gcs igt`le ol tbc driss dihh i lm tbc gottol tbrcim. (4 ) (d) ]bc m`stilgc dctwccl two dom`cs dom`cs `s moudhcm. moudhcm. Bow `s tbc fiel`tumc oa oa eriv`titòlih aorgc dctwccl tbcf iaacgtcm? (4) ( g ) Ub Uby `s i kigj sgrcw prov`mcm w`tb i hole i rf?

(4 )

(m (m)) @a tb tbcc powcr owcr oa i fotor tor d dcc 9>> 9>> jU, jU, iitt wb wbit sp spcccm gil gil `t ri` i`sc sc i hhoi oim m oa 3 3>, >,>> >>> > L? L? (c) Ub`gb ghi ss oa hcvch w`hh i hwiys bivc FI < 9 ilm wby?

(4) (4) (4 )

Ilswcr 9.

(i) Wupport ]clsòl (])

Ucèbt, (U)

(d) ]bc fie fiel`tumc l`tumc oa oa eriv`titòlih aorgc dctwccl dctwccl two dom`cs `s `lvcrschy pro proportòl portòlih ih to tbc squirc oa tbc m`stilgc dctwccl tbcf. 9

E.A. ³ r 4 X Is tbc m`stilgc `s moudhcm, tbc aorgc w`hh dcgofc olc aourtb oa tbc `l`tìh aorgc.

(g (g)) @lgrcisc `l torquc torquc irf, `lgrciscs tbc fof fofclt clt oa aorgc, aorgc, so hcsscr caaort `s rcqu`rcm aor turf`le turf`le (m (m)) ^ 6 9>>j 9>>jU U X ^ 6 9>> Õ 9>>>U, A 6 3>>>>L X ôwcr 6 Aorgc Õ Qchog`ty

^b 57

4>95

bttps;//www.irulmccpschabchp.`lao/

^b 5=

4>95

X 9>>>>> 6 3>>>> Õ Q X Q 6 4 fs ‗9

(c) Ghiss Ghiss @@ hcvc hcvcrr. Caaort irf Fcgbil`gih imviltiec 6

Hoim irf

@l i ghiss @@ hcvcr, tbc caaort caaort irf `s ihwiys holecr tbil tbc hoim irf, bclgc `ts FI < 9. Yucstòl 4.

(i) Mca`lc bci t gipig`ty i lm sti tc `ts W@ ul`t.

(4 )

(d) Uby `s tbc disc oa i gooj`le pil eclcri hhy fi mc tb`gj?

(4 )

(g (g)) I soh`m oa fiss fiss 3> e it 93>¾G `s phigcm `l 9>> e oa witcr witcr it 99¾G, wbcl tbc a`lih tcfpcriturc tcfpcriturc rcgormcm `s 4>¾G. A`lm tbc spcgà`g bcit gipig`ty oa tbc soh`m.

(Wpcgà`g bcit gipig`ty oa witcr

=.4 K/e G)

(m) Bow `s tbc rcarigt rcarigt`vc `vc `lmcx `lmcx oa i fitcrìh rchitcm rchitcm to ; ( `) rc rcih ih ilm ilm ippir ippirclt clt mc mcptb ptb?? (`` ) vcho hogg`t `ty y oa oa hèb èbt `l `l vig vigu uuf or ii``r ilm ilm tbc tbc vc vchog` hog`tty oa h` hè ebt `l i e e`v `vcl cl fcmù ùf f? (c) Wtit itcc tbc golm`t` `tòls rcqu qu``rcm rcm aor totih `ltcrlih rca rcahcgt` tò ol oa hèbt to tijc ijc phi higgc.

(4) (4) (4) (4)

Ilswcr 4.

(i) Bcit gipig`ty oa i domy `s tbc bcit clcrey clcrey rcqu`rcm to ri`sc tbc tcfpcriturc tcfpcriturc oa tbc domy domy dy 9¾G. @ts W.@. ul`t `s Kj  ‗9. (d) ]bc disc `s tb tb`gj `gj bclgc bclgc tbc fiss oa tbc disc `s forc. forc. ]b`s `lgrciscs tbc bcit gipig`ty wb`gb clidhcs tbc pil to bohm i hirec ifoult oa bcit clcrey it i how tcfpcriturc. ]bc aoom `s goojcm propcrhy ilm rcfi`ls wirf aor i hole t`fc. (g) Bcit ho host st dy soh`m soh`m 6 Bcit Bcit ei`lcm ei`lcm dy witcr witcr (FGMt )Woh`m   6 (FGMt )Uitcr X 3> Õ G Õ (93> ‗ 4>) 6 9>> Õ =.4 Õ (4> ‗ 99)

G6

9>> ½ =.4 ½ 0 3> ½ 97>

X G 6 >.324 Ke ‗9¾G ‗9

( m) ( `) Tc Tcari arigt gt`v `vcc @lm @lmcx cx 6

(`` ) Tcarigt`v Tcarigt`vcc @@lmc lmcx x 6

Tcih mcptb Ippirclt mcptb Qchog`ty oa hèbt `l i`r or viguuf Qchog`ty oa hèbt `l e`vcl fcmùf

(c) ( `) ]bc riy oa hèbt fust fust trivch aarof rof mclscr mclscr fcmùf fcmùf to rircr fcmùf. fcmùf. (`` ) ]bc ilehc ilehc oa `lg`mclgc `lg`mclgc sbouhm sbouhm dc erc ercitcr itcr tbil tbc gr`t`gih ilehc ilehc..

bttps;//www.irulmccpschabchp.`lao/

^b 53

4>95

Yucstòl 7.

(i) Mriw i riy mìerif to sbow tbc rcarigtòl oa i f fologbrof ologbrofit`g it`g riy tbroueb i pr`sf wbcl `t suaacrs f`l`fuf mcvìtòl. (4 ) (d) ]bc buf bufil il cir gil mctcgt mctcgt golt`luous soulms soulms `l tbc arcquclgy rilec arof 4> Bz to 4>,>>> 4>,> >> Bz. ‗9 Issuf`le tbit tbc spccm oa soulm `l i`r `s 77> fs aor ihh arcquclg`cs, gihguhitc tbc wivchcletbs gor rcspolm`le to tbc e`vcl cxtr cfc ar cquclg`cs oa tbc ium`dhc rilec. (4 ) (g ) Il clcfy clcfy philc `s it i m`sti m`stilgc lgc oa 7>> jf arof i rimir. @l bow fugb t`fc w`hh tbc rimir dc idhc to mctcgt tbc philc? ]ijc vchog`ty oa rimòwivcs is 7 Õ 9> 2 fs ‗9. (4 ) (m) Bow `s tbc arcquclgy arcquclgy oa i strctgbcm strctgbcm str`le rchitcm to ; ( `) `t `tss hc hcl let etb? b? (`` ) `ts tclsòl?

(4 )

(c) M Mcca`lc spcgà`g rcs`st ilgc i lm stitc `ts W@ ul`t.

(4 )

Ilswcr 7.

(i)

I I M c

`

D

G

Þ` 6 Þc

(d (d)) Q 6 77> 77> fs fs ‗9,

a  6 6 4> Bz

X Q 6 a  h h X 77> 6 4> Õ h h 6

77> 4>

h bèbcst 6 91.3 91.3 f

Q 6 77> Bz,

a  6 6 4>,>>> Bz

X Q 6 a  h h X

77> 4>>>>

6 h

X h howcst 6 >.>913 f 6 9.13 Õ 9> ‗4 f X Tilec oa wivchcletb arof 4> Bz to 4>>>> Bz `s 91.3 f to 9.13 Õ 9> ‗4 f.

(g) M 6 7>> 7>> jf jf 6 7>>>>> 7>>>>> f Q 6 7 Õ 9> 2 fs ‗9

bttps;//www.irulmccpschabchp.`lao/

^b 51 X W6

4>95 4M ]

X 7 Õ 9>2 6

X ]6

4 ½ 7>>>>> ]

4 ½ 7>>>>> 2

7 ½9>

6 4 Õ 9> ‗7 s

( m) ( `) Arcquclgy Arcquclgy oa i strctgbcm str`le `s `lvcrschy `lvcrschy proportòl proportòlih ih to `ts hcletb. hcletb. Ü a   ³ (`` ) Arcquclgy Arcquclgy oa i strctgbcm str`le `s m`rcgthy proportòlih proportòlih to `ts tclsòl. Ü a ³

9 h

]

(c) Wpcgà`g rcs`stilgc oa i golmugtor `s tbc rcs`st rcs`stilgc ilgc oa ul`t ul`t hcletb oa tbc golmugtor golmugtor ilm oa ul`t irci oa gross scgtòl. @t @tss W@ ul`t ul`t `s U f. Yucstòl =.

(i) Il chcgt chcgtr`g r`g duhd oa rcs`stil rcs`stilgc gc 3>> 3>> U mriws i gurrclt oa >.= I. Gihguhitc tbc powcr oa tbc duhd ilm tbc potcltìh màacrclgc it `ts clm. (d) Wtitc two ggiuscs iuscs oa clcrey clcrey hoss `l i trilsaorfcr. trilsaorfcr. (g (g)) Wtitc two two gbirigtcr`st`gs oa oa i eoom eoom tbcrfòl tbcrfòl cf`ttcr. cf`ttcr. (m) Wtitc two aigtors upol w wb`gb b`gb tbc ritc oa ccf`ssòl f`ssòl oa tbcrfòl tbcrfòlss mcpclm mcpclms. s. (c) Ubcl mocs mocs tbc lughcus lughcus oa il itof tclm to dc rimòigt`vc? rimòigt`vc? Ilswcr =.

(i (i)) T 6 3> 3>> > U

@ 6 >.= I

^ 6 @4T 6 (>.=)4 Õ 3>> 6 2> X ^ 6 2> U X ^ 6 Q@ X 2> 6 Q Õ >.= X Q6

2> >.=

Q 6 4>> Q (d) ( `) Aorfitòl oa Cmmy Cmmy gurrclts”tbc gurrclts”tbc gbile gbile`le `le fielct`g fielct`g a`c a`chm hm `lmugcs gurrclt `l tbc soat-`rol gorc. (`` ) Tcs`stilgc oa pr`firy pr`firy or scgolmiry scgolmiry go`h. (``` ) Bystcrcs`s”fielct`sitòl Bystcrcs`s”fielct`sitòl oa tbc gorc `s rcvcrscm. ( g ) ( `) How How wo worj rj aulg aulgtò tòl. l. (`` ) Bèb fcht`le fcht`le po`l po`lt. t.

bttps;//www.irulmccpschabchp.`lao/

^b 55

( m) ( `) Liturc Liturc oa tbc tbc sura suraigc igc.. (`` ) ]cfpcriturc cfpcriturc oa ttbc bc suraigc. suraigc. (c) ( `) Ubcl tbc lufdc lufdcrr oa lcutrols lcutrols `s ercitcr tbil tbc lufdc lufdcrr oa protols protols `l tbc lu lughcus. ghcus. (`` ) Ubcl tbc itof`g itof`g lufdcr lufdcr oa il chcfclt chcfclt `s forc tbil tbil 24.

4>95

WCG]@OL ‗ @@ (=> Firjs) (Ittcfpt ily aour qucstòls arof tb`s Wcgtòl) Yucstòl 3.

(i) I ulàorf biha-fctrc biha-fctrc ruhc dihilgcs bor`zoltihhy bor`zoltihhy ol i jlàc cmec it tbc 40 gf firj wbcl wbcl i wcèbt oa 4> ea `s suspclmcm arof olc clm. ( `) Mriw i mìerif mìerif o oaa ttbc bc irrilecf irrilecfclt. clt. (`` ) Ubi t `s tbc wcèbt oa tbc biha-fctrc ruhc?

(7 )

(d) ( `) I doy uscs i s`lehc a`xcm a`xcm puhhcy puhhcy to hàt i hoim oa 3> jea to sof sofcc bcèb bcèbt. t. Ilotbcr Ilotbcr doy uscs uscs i s`lehc fovidhc puhhcy to hàt tbc sifc hoim to tbc sifc bcèbt. Gofpirc tbc caaorts ipph`cm dy tbcf. E`vc i rcisol to support your ilswcr. (`` ) Bow mocs ulàorf ulàorf g`rguhir fotòl fotòl màacr arof ulàorf ulàorf h`lcir h`lcir fotòl? (``` ) L if ifc tbc progcss uscm aor promug`le chcgtr`g`ty us`le lughci r clcrey.

(7 )

(g (g)) I puhhcy puhhcy systcf w`tb QT 6 = `s uscm to hàt i hoim oa 953 jea tbroueb tbroueb i vcrt`gih bcèbt bcèbt oa 93 f. ‗9 ]bc caaort rcqu`rcm `s 3> jea `l tbc mowlwirm m`rcgtòl (e 6 9> L je ). ( `) M`stilgc M`stilgc fov fovcm cm dy tbc caaort. caaort. (`` ) Uorj molc molc dy tbc ccaaort. aaort. (``` ) FI oa tbc puhhcy systcf. ( `v ) Caa`g`clgy oa tbc puhhcy systcf. Ilswcr 3. (i) ( ` ) >

43 40

(= )

3>

U

ea

(`` ) Dy pr`lg`phc pr`lg`phc oa fofcl fofclts ts Ilt`ghogjw`sc fofclt 6 ghogjw`sc fofclt X a 9m 9 6 a 4m 4 X X

U Õ = 6 4> Õ 49 U Õ 9>3 ea

X

Ucèbt oa tbc ruhc 6 9>3 ea

(d) Aor i s`lehc s`lehc a`xcm a`xcm pu puhhcy hhcy,, FI 6 9 ( `) X Hoim 6 Caaort

X Caaort 6 3> jea

Aor i s`lehc fovidhc puhhcy, FI 6 4 X

FI 6

Hoim Caaort

bttps;//www.irulmccpschabchp.`lao/

^b 52 X X

4>95 3> Caaort

6 4

Caaort 6 43 jea

X

Caaort ipph`cm us`le i s`lehc a`xcm  puhhcy Caaort ipph`cm us`le i s`lehc fovidhc puhhcy

6

3> 43

6 4 ; 9

Caaort ipph`cm dy tbc doy us`le i s`lehc a`xcm puhhcy `s tw`gc tbc caaort uscm dy tbc doy us`le i s`lehc fovidhc puhhcy. (`` ) Slàorf Slàorf g`rguhir fotòl fotòl bis virìdhc vchog`ty ilm bclgc bclgc virìdhc iggchc iggchcritòl. ritòl. Slàorf h`lcir fotòl bis golstilt vchog`ty ilm lo iggchcritòl ilm   X `s ul iggchcritcm fotòl. (``` ) Lughcir a`ssòl. ( g ) ( `) Qcho chog` g`ty ty rit` ritò o 6 QT 6

m C m H

m C

X

=6

X

m C 6 1> f

93

(`` ) Uorj molc molc dy caaort caaort 6 Caaort C Õ M`stilgc m C C 6 3> jea 6 3> Õ 9> 6 3>> L X

Uorj molc dy caaort 6 3>> L Õ 1> f 6 7>>>> K

(``` ) FI 6

H C

6

( `v ) Caa`g`cl Caa`g`clgy gy 6

953 3>

6 7.3

FI QT

Õ 9>>% 6

7.3 =

Õ 9>>% 6 25.3%

Yucstòl 1. (i) ( `) Bow `s tbc trilsacrclgc trilsacrclgc oa bcit bcit clcrey dy rimìtòl p prcvcltc rcvcltcm m `l i gihor`fctcr? gihor`fctcr?

(`` ) Pou bivc i gbo`gc oa tbrcc fctihs, I, D ilm G, oa spcgà`g spcgà`g bcit gipig`t`cs 0>> Kje K je ‗9¾G ‗9, 72> Kje ‗9¾G ‗9 ilm =1> Kje ‗9¾G ‗9 rcspcgt`vchy, to fijc i gihor`fctcr. Ub`gb fitcrìh w`hh you schcgt? Kustày your ilswcr? (7 ) (d) iGihguhitc Gihgu lcc mcm gooh golti`lcm i`lcm `l i gihor`fctcr gihor`fctcr oa fiss fiss 3>(7e) t 7>¾hitc G sutbc gb tfiss bit tboa c a`gc `lilccmcm h tcf pcrto i tugoo r c h`s93> 3¾Ge. oa witcr golt Wpcgà`g bcit gi pig`ty oa gi hor`fctcr

>.= K/ K/e¾G

Wpcgà`g bcit gipig`ty oa witcr

=.4 K /e¾G

Hitclt bcit gi pig`ty oa `gc

77> K/e

( g ) ( `) Lifc tbc rimìtòls wb`gb wb`gb irc idsordcm dy ercclbousc ercclbousc eiscs `l tbc tbc cirtb's itfospbcrc. itfospbcrc. (`` ) I rimìtòl R `s aoguscm dy i pirt`guh pirt`guhir ir mcv`gc ol tbc tbc duhd oa i tbcrfofctcr ilm fcrgury fcrgury `l tbc tbcrfofctcr sbows i rip`m `lgrcisc. Lifc tbc rimìtòl R. (``` ) Lif Lifc two aigtor s ol wb`gb tbc bcit clcrey h`dc `dcritcm dy i domy mcpclms.

(=)

bttps;//www.irulmccpschabchp.`lao/

^b 50

4>95

Ilswcr 1.

(i) ( `) ]bc outcr outcr ilm `llcr `llcr suraigcs oa oa tbc gihor`fctcr gihor`fctcr irc poh`sb poh`sbcm cm to rcmugc rcmugc hoss oa bcit muc to

rimìtòl. (`` ) Fctih D, s`lgc fctih D bis howcst spcgà`g bcit bcit gipig`ty ifole tbc tbrcc. Wo tbc ifo ifoult ult oa bcit clcrey tijcl dy tbc gihor`fctcr arof `ts goltclts to igqu`rc tbc tcfpcriturc oa `ts goltclts `s lcehè`dhc. (d) Bcit ei`lcm ei`lcm dy `gc `gc 6 fH + fg M ] 6 f(77> + =.4 Õ 3) 6 739 fK Bcit e`vcl out dy witcr ilm gihor`fctcr 6 (93> Õ =.4 + 3> Õ .=) Õ (74 ‗ 3) 6 9533> K Fiss oa `gc 6

9533> 739

6 3> e

( g ) ( `) @l @larircm arircm rimìtòl rimìtòlss oa ho hoy y wivchc wivchcletb letb.. (`` ) @l @larircm arircm rimìtòls. rimìtòls. (``` ) Fiss, spcgà`g bcit gipig`ty. gipig`ty. Yucstòl 5.

(i) I hcls aorfs il uprèbt ilm m`f`l`sbcm `fiec `fiec oa il od odkcgt kcgt wbcl tbc odkcgt `s phigcm it tbc aogih po`lt oa tbc e`vcl hcls. ( `) Lif Lifc ttbc bc hcl hcls. (`` ) Mr M ri w i ri y mìerif to sbow tbc `fiec aorfitòl.

(7 )

(d) I riy oa hèb hèbtt trivchs arof witcr witcr to i`r is sbowl `l tbc mìerif mìerif e`vcl e`vcl dchow ;

I`r

    9

Þ

Uitcr

    ¾     2 = 6

( `) Gopy tbc mìerif ilm ilm gof gofphctc phctc tbc tbc pitb oa tbc tbc riy. E`vcl tbit tbc gr`t`gih ilehc aor aor witcr `s =2¾. (`` ) Wtit titcc tb tbcc go gol lm`t` m`tò ol so tbit tbit toti totihh `ltc `ltcrl rlih ih rc rcah ahccgtò gtòl l oggu oggurs rs `l tb tbcc ido idov vc mì mìe eri rif f.

(7)

(g (g)) ]bc mìerif mìerif dchow sbows sbows i po`lt sourgc ^ `ls`mc i witcr golti`lcr. golti`lcr. Aour riys I, I, D, G, M stirt`le arof tbc sourgc ^ irc sbowl up to tbc witcr suraigc.

I`r

D

I

G =2¾

M Uitcr

^

bttps;//www.irulmccpschabchp.`lao/

^b 2>

4>95

( `) Wbow `l `l tbc mìerif tbc pitb oa tbcsc tbcsc riys iatcr str`j`le tbc witcr suraigc. ]bc ]bc gr`t`gih ilehc aor witcr-i`r suraigc `s =2¾. (`` ) Lifc tbc pbclofclol wb`gb tbc r iys D ilm M cxb`d`t.

(= )

Ilswcr 5.

(i) ( `) Golg Golgiv ivcc hcls hcls.. (`` )

D ¢

D

O

I A9

¢

I

A4

@fiec `s dctwccl A ilm O. @t `s v`rtuih, crcgt ilm m`f`l`sbcm. (d ) ( ` ) I`r Uitcr

=2¾

(`` ) (9) ]bc riy oa hèbt fust trivch trivch arof mclscr mclscr fcmù fcmùf f to rircr fcmùf fcmùf.. (4) ]bc ile ilehc hc oa `lg`mclgc sbouhm dc ercitcr tbil tbc tbc gr`t`gih ilehc. ( g ) ( `)

I`r D

I

G

=2¾ M

` r

Uitcr ^

(`` ) Tiy D cxb`d`ts cxb`d`ts rcarigtò rcarigtòl l oa hèbt. hèbt. Tiy M cxb`d`ts totih `ltcrlih rcahcg rcahcgtòl tòl oa hèbt. Yucstòl 2. (i) Lifc tbc aigtor tbi t mctcrf`lcs ;

(7 )

( `) Houml Houmlcss css oa oa tbc soul soulm m bcirm. bcirm. (`` ) Yuih`ty Yuih`ty oa oa tbc tbc lo lotc. tc. (``` ) ^`tgb oa tbc tbc lotc. (d) ( `) Ubi t irc mifpcm v`dritòls?

(7 )

(`` ) E`vc olc olc cxifphc cxifphc o oaa mifpcm mifpcm v`dritòls. (``` ) Lifc tbc pbclofclol pbclofclol tbit giuscs i houm soulm wbcl tbc stcf oa i v`drit`le v`dri t`le tul`le aorj `s jcpt prcsscm ol tbc suraigc oa i tidhc.

bttps;//www.irulmccpschabchp.`lao/

^b 29

4>95

( g ) ( `) I w`rc oa hcletb hcletb 2> gf bis i ar arcqu cqucl clgy gy oa 431 Bz. Gihgu Gihguhitc hitc tbit tbit hcletb hcletb oa i s`f`hir s`f`hir w`rc ulmcr s`f`hir tclsòl, wb`gb w`hh bivc i arcquclgy oa 9>4= Bz. (= ) (`` ) I gcrti`l soulm bis i arcquclgy oa 431 bcrtz ilm i wivchcletb oa 9.7 f. (9) Gihguhitc tbc spc spccm cm w`tb wb`gb wb`gb tb`s soulm trivchs. (4) Ubit màacrclgc wouhm dc acht dy i h`stclcr dctwccl tbc idovc soulm ilm ilotbcr soulm trivchh`le it tbc sifc spccm, dut oa wivchcletb 4.1 f? Ilswcr 2.

(i) ( `) Ifph` h`tu tumc mc (`` ) Uiv ivccao aorf rf (``` ) Arcquclgy Arcquclgy (d) ( `) ]bc pcròm`g pcròm`g v`dritòls v`dritòls oa i domy o oaa mcgrcis`le mcgrcis`le ifph ifph`tumc `tumc `l prcsclgc oa oa i rcs`st`vc aorgc aorgc irc gihhcm mifpcm v`dritòls. (`` ) Osg`hhitòls oa i s`fphc pclmuhuf pclmuhuf `l i`r. I tul`le aorj wbcl wbcl strug strugj j ol i ruddcr pim. (``` ) Tcsolilgc Tcsolilgc ( g ) ( `) Hc Hcle letb tb oa w`r `rcc ³

9 Arcquclgy

a9 a 4

6

h4 h9

X

H9 a 9 6 H4 a 4

X

2> gf Õ 431 Bz 6 H4 Õ 9>4= Bz

X

Hcletb Hcl etb oa tbc w`rc 6 4> gf.

X H4 6 4> gf

(`` ) (9) Q 6 a  h h  6 6 431 Õ 9.7 6 774.2 fs ‗9 (4 (4)) Is Q 6 a  h h

X 774.2 6 a  Õ Õ 4.1

X a  6 6 942 Bz.

W`lgc tbc arcquclgy oa tb`s soulm `s biha oa tbc a`rst olc tbc h`stclcr wouhm acch tbc soulm to dc hcss sbr`hh or ahit. Yucstòl 0.

(i) ( `) Lifc tbc gohour gomc gomc oa tbc w`rc wb`gb bis goll gollcgtcm cgtcm to tb tbcc fctihh`g domy domy oa il ipphìlgc. ipphìlgc. (`` ) Mriw Mriw tb tbcc mì mìer erif if oa i mui muihh go goltr ltroh oh sw`t sw`tgb gb wb wbcl cl tb tbcc ip ipph phì ìlg lgcc `s sw`t sw`tgb gbcm cm 'OL 'OL'. '.

(7)

(d) ( `) Ub`gb pirt`ghcs irc rcspols`dhc rcspols`dhc aor aor gurrclt gurrclt `l golmugtors? golmugtors? (`` ) ]o wb`gb w`rc oa i gidhc `l i powcr g`rgu`t sbouhm tbc fctih fctih gisc oa i ecy ecyscr scr dc gollcgtcm? (``` ) ]o wb`gb w`rc sbouhm tbc ausc dc gollcgtcm?

(7 )

( g ) ( `) Cxphi`l tbc fcil`le fcil`le oa tbc stitcf stitcfclt clt 'gurrclt rit`le oa i ausc `s 3I'. (`` ) @l tbc trilsf`ssòl oa powcr tb tbcc vohtiec oa powcr powcr eclcritcm eclcritcm it tbc eclcrit`le stitòls `s stcppcm up arof 99 jQ to 974 jQ dcaor c `t `s tri lsf`ttcm. U by? (= )

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^b 24

4>95

Ilswcr 0.

(i) ( `) Erccl Erccl or y ych chho how w. Hoim

(`` )

L i d g

W9

W4 d

Wupphy

i g

H

(d) ( `) Chc Chcgtr tro ols (`` ) Ci Cirt rtb b w`rc w`rc (``` ) H`vc H`vc w`rc ( g ) ( `) ]bc h`vc w`rc w`rc or tbc h`lc h`lc w`rc bis i gurrclt-girry`le gipig`ty oa 3 I. Bclgc, Bclgc, i tb`l ausc ausc w`rc oa how gurrclt-girry`le gipig`ty oa 3 I `s uscm. @t `s uscm aor hèbt ilm ail g`rgu`ts. (`` ) ]bc vohtiec `s `lgrciscm to mcgrcisc mcgrcisc tbc gurrclt ilm prc prcvclt vclt hoss oa clcre clcrey y muc to bcit`le bcit`le `l tbc h`lc w`rcs. Yucstòl 9>.

(i) Ilswcr tbc aohhow`le qucstòls discm ol i bot gi tbomc riy tudc.

(7 )

( `) Lifc Lifc tbc tbc gbire gbirecm cm pirt` pirt`ghc ghcs. s. (`` ) Wtitc tbc ipprox`fitc ipprox`fitc vohtiec vohtiec uscm to bcit tbc a`hif a`hifclt. clt. (``` ) Ubit w`hh bippcl to tbc dcif wbcl wbcl `t pisscs tbroueb tbc chcgtr`g chcgtr`g a`chm? (d) Wtitc tbrcc aigtors ol wb`gb tb tbcc ritc oa cf`ssòl oa chcgtrols chcgtrols arof i fctih suraigc mcpclms. mcpclms. (7) ( g ) ( `) Ubit irc tbc tbc arcc arcc ch chcg cgtro trols ls?? (`` ) Uby mo tbcy tbcy lot hcivc tbc tbc fctih fctih suraigc ol tbc tbc`r `r owl? (``` ) B ow ow gil tbcy dc fimc to hcivc tbc fctih sur aigc? (Wtitc ily two wi ys)

(= )

Ilswcr 9>.

(i) ( `) Gitbomc Gitbomc riys / bè bèb b sp spccm ccm chc chcgtrol gtrolss (`` ) 1 Q (``` ) ]bc chcgtrol dcif ects mcahcgtcm towirms tbc pos`t`vc phitc `l i m`rcgtòl oppos`tc to tbc m`rcgtòl oa tbc chcgtr`g a`chm. (d) ( `) ]bc liturc liturc oa tbc fctih fctih suraigc suraigc (`` ) ]bc tcfpcriturc tcfpcriturc oa tbc suraigc suraigc (``` ) ]bc suraigc irci oa tbc fctih. fctih. ( g ) ( `) Chcgtrols `l tbc outcr outcr ord`ts irc wcijhy ittrigtcm dy tbc lughcus. lughcus. ]bcy irc hooschy doulm doulm ilm hcivc tbc`r `lm`v`muih itof ilm dcgofc arcc to fovc `ls`mc tbc soh`m. ]bcsc chcgtrols irc gihhcm arcc chcgtrols. (`` ) ]bc arcc arcc chcgtrols mo lot bivc suaa`g`clt j`lct`g cclcrey lcrey to hcivc `ts suraigc. (``` ) ]bc arcc chcgtrols gil hcivc tbc fctih suraigc dy (9) ]bcrf ]bcrfòl`g òl`g cf`ssòl; cf`ssòl; wbcl clcrey clcrey `s supph`cm is bcit. (4) ^boto-ch ^boto-chcgtr`g cgtr`g cf`ssòl cf`ssòl;; wbcl clcre clcrey y `s supph`cm is hèbt.

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>92 (WOHQCM) WG@CLGC îpcr‗@ (^BPW@GW) (Olc bour ilm i biha bours) Ilswcrs to tb`s pipcr fust dc wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy scpiritchy.. Pou w`hh LO] dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc qucstòl pipcr. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs.

Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@. ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls ir ircc e`vcl `l drigjcts Z V. WCG]@OL ‗ @ (=> Firjs)

(Ittcfpt ihh qucstòls arof tb`s Wcgtòl) Yucstòl 9.

(i) ( `) Wt Wtitc itc ilm mca`l mca`lcc tbc W W@@ ul`t ul`t oa powcr powcr.. (`` ) Bow `s tbc ul`t borsc powcr rchitcm to tbc W@ ul`t oa powcr?

(4 )

(d) Wti tc tbc clcr ey gbi lecs `l tbc aohhow`le giscs wb`hc `l usc ;

(4 )

( `) Il ch chcg cgtr` tr`gg `rol. `rol. (`` ) I gc`h gc`h`l `le e aail. il. ( g ) ]bc mìer if dchow sbows i hcvcr `l us c ;

(4 )

( `) ]o wb`gb wb`gb ghiss ghiss oa hcvcrs hcvcrs mocs mocs `t dchole dchole?? (`` ) U`tbout gbile`le tbc tbc m`fclsòls m`fclsòls oa tbc hcvcr, hcvcr, à tbc hoim `s sbàtcm towirms tbc auhgruf auhgruf wbit bippcls to tbc fcgbil`gih imviltiec oa tbc hcvcr? C A H

( m) ( `) Uby `s tbc tbc ritò oa tbc vchog`t`cs vchog`t`cs o oaa hèb hèbtt oa wivchcletbs wivchcletbs =>>> I ilm 2>>> I `l viguuf 9 ; 9? (`` ) Ub`gb oa tbc idovc wi vchcletbs bi s i bèbcr arcquclgy?

(4 )

(c) ( `) Uby `s tbc fotòl fotòl oa oa i domy f fov`le ov`le w`tb i golstilt spccm iroulm iroulm i g`rguhir pitb si`m to to dc iggchcritcm? (`` ) Lifc tbc ul`t ul`t oa pbys`gih pbys`gih quilt`ty odti`lcm dy tbc aorf aorfuhi uhi 4J/Q4 wbcrc J; j`lct`g clcrey, Q; H`lcir vchog`ty. (4 ) Ilswcr 9.

(i) ( `) ]bc W@ ul`t oa powcr powcr `s witt (U). ]bc pow powcr cr oa il ieclt ieclt `s si`m to dc olc witt witt à `t mocs olc kouhc oa worj `l olc scgolm. (`` ) 9 bp bp 6 5=1 5=1 U ^b 27

4>92

bttps;//www.irulmccpschabchp.`lao/

^b 2=

4>92

(d) ( `) Chcgtr` Chcgtr`gih gih `lto `lto bc bcit it clc clcrey rey (`` ) Chcgtr`gih `lto `lto fcgbil`gih fcgbil`gih clcrey clcrey. ( g ) ( `) Wcgo Wcgolm lm ghiss ghiss hcvcr hcvcr.. (`` ) @t `l `lgrc grcisc iscs. s. ( m) ( `) Dcgiusc ihh wivchcletbs wivchcletbs oa hèbt trivch w`tb tbc sif sifcc vchog`ty `l viguuf. viguuf. (`` ) =>>> I bèbcr arcquclgy.. (c) ( `) Dcgiusc it cvcry cvcry po`lt po`lt oa fotòl tbc m`rcgtòl m`rcgtòl o oaa spccm gbilecs `.c. , tbc domy posscsscs vchog`ty wb`gb gbilecs w`tb t`fc. (`` ) J`hoe J`hoerif rif (je). (je). Yucstòl 4.

(i) ]bc powcr oa i hcls `s - 3M.

(4 )

( `) A`lm A`lm `ts ao aogi gihh hc hcle letb. tb. (`` ) Lifc tbc typc typc oa hcls. (d) Wti tc tbc pos`tòl oa tbc odkcg t `l arolt oa i golvcr e`le hcls ` a ;

(4 )

( `) @t promu promugcs gcs i rcih rcih ilm sifc sifc s`zc `fiec `fiec oa oa tbc odkcg odkcgt. t. (`` ) @t `s uscm uscm is i fielày`l fielày`le e hcl hcls. s. ( g ) ( `) Wtitc tbc rchitòl dctwccl tbc tbc gr`t`gih ilehc iilm lm tbc idsohutc rcarigt`vc `lmcx `lmcx oa i fcmùf fcmùf.. (`` ) Ub`gb gohou hour oa hèbt bi bis i bèbcr gr`t` `t`gih ilehc? Tcm hèbt or Erccl hèbt. ( m) ( `) Mca`lc sgittcr`le.

(4) (4 )

(`` ) ]bc sfojc sfojc arof i a`rc hoojs wb`tc. wb`tc. Ub`gb oa tbc aohhow`le stitcfclts `s truc? (9) Fohcguhcs oa ttbc bc sfojc irc dèecr tbil tbc wivchcletb oa hèbt. (4) Fohcguhc Fohcguhcss oa tbc sfojc irc sfihhcr tbil tbc wivchcletb wivchcletb oa hèbt. (c) ]bc aohhow`le aohhow`le mìerif mìerif sbows i 1>¾, 7>¾, 0>¾ ehiss pr`sf oa gr`t`gih ilehc =4¾. Gop Gopy y tbc mìerif ilm gofphctc tbc pitb oa `lg`mclt riy ID cfcre`le out oa tbc pr`sf firj`le tbc ilehc oa `lg`mclgc ol cigb surai gc. (4 ) R 1>¾

D 7>¾ P

[ I

Ilswcr 4.

(i) ( `) a   6 6

9 ^

6

9

-3

6 ‗>.4 f 6 4> gf

(`` ) Gol Golgivc givc (d) ( `) It 4A (`` ) Dctwccl tbc opt`gih opt`gih gcltc gcltcrr ilm pr`lg pr`lg`phc `phc ao aogus. gus.

bttps;//www.irulmccpschabchp.`lao/

^b 23

( g ) ( `) f 6

4>92

9 s`l G

(`` ) Tcm ( m) ( `) Wgittcr`le `s i eclcrih pbys`gih pbys`gih progcss progcss wbcrc wbcrc hèbt `s aorgcm aorgcm to mcvìtc mcvìtc arof i strièbt trikcgtory dy olc or forc pitbs muc to hogih`zcm lol-ulàorf`t`cs `l tbc fcmùf tbroueb wb`gb `t pisscs. (`` ) Fohcguhcs Fohcguhcs oa tbc sfojc sfojc irc dèecr tbil tbc tbc wivchcletb wivchcletb oa hèbt. (c) ]bc mìerif mìerif `s is sbowl sbowl R 1>¾

=3¾ =3¾

D

7>¾

P

[ I

Yucstòl 7.

(i) M`sphigcfclt M`sphi gcfclt m`stilgc eripb oa two soulm wivcs wivcs I ilm D, trivchh`le `l i fcmùf, fcmùf, irc is sbowl `l tbc mìeri f dchow. (4)

4> 9>

I D

(>, >)

M`stilgc (gf)

-9> -4>

Wtumy tbc two soulm wivcs ilm gofpirc tbc`r; ( `) Ifph Ifph`t `tum umccs (`` ) Uivchcl ivchcletb etbss (d) Pou bivc bivc tbrcc tbrcc rcs`stors oa vihucs vihucs 4 U, 7 U ilm 3 U . Bow w`hh you ko`l tbcf so tbit tbc totih rcs`stilgc `s forc tbil 5 U ? (4 ) ( `) Mriw i mìerif mìerif aaor or tb tbcc irril irrilec ecfcl fclt. t. (`` ) Gihguhitc Gihguhitc tbc cqu`vihc cqu`vihclt lt rcs`st rcs`stilgc ilgc.. ( g ) ( `) Ubi t mo you ulmcrsti lm dy tbc tcrf lughci r ausòl?

(4 )

(`` ) Lughcir powcr powcr philts philts usc lughcir a`ssòl rcigtòl to promugc chcgtr`g`ty. Ubit `s tbc imviltiec oa promug`le chcgtr`g`ty dy ausòl rcigtòl?

bttps;//www.irulmccpschabchp.`lao/

^b 21

4>92

( m) ( `) Ubi t mo you ulmcrsti lm dy arcc v`dritòls oa i domy?

(4 )

(`` ) Uby mocs tbc ifph`tumc ifph`tumc oa i v`drit`le domy gol golt`luou t`luoushy shy mcgrcisc mur`le mifpcm mifpcm v`dritòls? (c) ( `) Bow `s tbc cfa cfa igross pr`firy ilm scgolm scgolmiry iry go`hs oa i trilsaorfcr trilsaorfcr rchitcm w`tb tbc lufdcr lufdcr oa turls oa go`h `l tbcf? (4 ) (`` ) Ol O l wb`gb typc oa gurr clt mo tri lsaorfcrs wor j?

(4 )

Ilswcr 7.

(i) ( `) II / ID 6 4> / 9> 6 4 / 9 6 4 ; 9 Ü Ifph`tumcs oa I ilm D irc `l tbc ritò 4 ; 9 (`` ) h D < h I Ü Uivchcletb oa I ilm D irc `l tbc ritò 9 ; 4 (d) ( `) Ihh oa tbcsc tbcsc gil dc ggoll ollcgt cgtcm cm `l sc scr`cs r`cs is sbowl sbowl 4U

7U

3U

(`` ) T 6 4 + 7 + 3 6 9> U ( g ) ( `) @t `s i progcss `l wb`gb two or forc forc sfihhcr lughc` lughc` gofd`lc gofd`lc to aorf i dèec dèecrr lughcus. (`` ) ]bc promugt aorfcm aorfcm `s lot rimòigt`vc rimòi gt`vc bclgc hcss birfauh to bufils bufils / clcrey promug promugcm cm pcr lughcol `s forc tbcf a`ssòl. ( m) ( `) @a i domy domy v`dritcs w`tb w`tb `ts owl owl arcquc arcquclgy lgy ``tt `s gihhcm i aarcc rcc v`dritòl. v`dritòl. (`` ) Clcrey `s `s uscm up up `l ovcrgof ovcrgof`le `le ar`gtòl. ar`gtòl. (c) ( `) c.f.a. ilm tbc tbc luf lufdcr dcr oa turls oa tbc go`h go`h irc m`rcgthy m`rcgthy pro proportòl portòlih ih 6

Q^ QW

6

L ^ L W

(`` ) Ihtcrlit`l Ihtcrlit`le e gurrcl gurrclt. t. (I.G. (I.G.)) Yucstòl =.

(i) ( `) Bow gil i tcfp tcfpcrit criturc urc `l mc mcerc erccc G Gchs chsùs ùs dc golv golvcrtc crtcm m `lt `lto o W@ ul ul`t `t oa oa tc tcfp fpcri critur turc? c?

(4)

(`` ) I h`qu`m R bis tbc fix`fuf fix`fuf spcgà spcgà`g `g bcit gipig`ty gipig`ty ilm `s uscm is i goohilt ``l l Gir rimìtors. Lifc tbc h`qu`m h`qu`m R. (d) I soh`m fctih wc wcèb`le èb`le 93> e fchts fchts it `ts fcht`le fcht`le po`lt oa 2>>¾G dy prov`m`le prov`m`le bcit it tbc ritc oa 9>> U. ]bc t`fc tijcl aor `t to gofphctchy fcht it tbc sifc tcfpcriturc `s = ff. Ubit `s tbc spcgà`g hitclt bci t oa ausòl oa tbc fctih? (4 ) ( g ) @mcltày tbc aohhow`le w`r cs uscm `l i bouscbohm g`rgu`t ;

(4 )

( `) ]bc w`rc `s ihso gihhcm gihhcm is tbc tbc pbisc pbisc w`rc. (`` ) ]bc w`rc `s gollcgtcm gollcgtcm to tbc top tcrf`lih tcrf`lih oa i tbrcc-p`l sogjct. sogjct. ( m) ( `) Ubit Ubit irc irc `sod `sodir irs? s? (`` ) E`vc olc olc cxifp cxifphc hc o oaa `sodirs. `sodirs. (c) Wti tc ily two i mvilti ecs oa chcgtrofielcts ovcr pcr filclt fielcts. Ilswcr =.

(i) ( `) 9¾G 6 457 J (`` ) Uitcr (d) Ss`le Y 6 fH, fH, 9>> Õ = Õ 1> 6 93> Õ 9> ‗7 Õ H or H 6

9>> ½ = ½ 1> 93> ½ 9>-7

6 H 6 9.1 Õ 9>3 K je ‗9

(4 )

bttps;//www.irulmccpschabchp.`lao/

^b 25

4>92

( g ) ( `) H`vc w`rc (`` ) Ci Cirt rtb b w`rc w`rc ( m) ( `) Chcfclts Chcfclts biv`le sifc fiss fiss lufdcr lufdcr dut màacrcl màacrcltt itof`g luf lufdcr. dcr. (`` ) 91= G, 95= L ilm 9447Fe, 9497 Li (c) ( `) Wtrcletb gil dc `lgrciscm or mcgrciscm mcgrciscm mur`le mur`le worj`le. worj`le. (`` ) ôhir`t`cs gil gil dc gbilecm gbilecm mur`le mur`le worj`le. worj`le.

WCG]@OL ‗ @@ (=> Firjs)

(Ittcfpt ily aour qucstòls arof tb`s Wcgtòl) Yucstòl 3.

(i) ( `) Mcr `vc i rchitòlsb`p dctwccl W@ ilm G.E.W. ul`t oa worj.

(7 )

(`` ) I aorgc igts ol i domy ilm m`sphigcs m`sphigcs `t dy i m`stilgc m`stilgc W `l i m`rcgtòl it il ilehc q w`tb tbc m`rcgtòl oa aorgc. Ubit sbouhm dc tbc vihuc oa  q to ect tbc fix`fuf pos`t`vc worj? (d) I biha fctrc rom `s p`votcm it it tbc gcltrc w`tb two wcèbts wcèbts oa 4> ea ilm 94 ea suspclmc suspclmcm m it i pcrpclm`guhir pcrpcl m`guhir m`stilgc oa 1 gf ilm 9> gf arof tbc p`vot rcspcgt`vchy is sbowl dchow; (7) 3> gf

4> ea

94 ea 1 gf

9> gf

( `) Ub`gb oa oa tbc two aorgcs igt`le igt`le ol tbc rè`m rom ggiuscs iuscs ghogj ghogjw`sc w`sc fofclt fofclt?? (`` ) @s tbc rom `l cqu`h cqu`h`drùf `drùf?? (``` ) ]bc m`rcgtòl oa 4> jea aorgc `s rcvcrscm. Ubit `s tbc fiel`tumc oa tbc rcsuhtilt fofclt oa tbc aorgcs ol tbc rom? ( g ) ( `) Mriw i mìerif to sbow i dhogj ilm tigjhc puhhcy puhhcy systcf biv`le i vchog`ty vchog`ty ritò oa 7 firj`le tbc m`rcgtòl oa hoim (H), caaort (C) ilm tclsòl (]). (`` ) ]bc puhhcy puhhcy systcf mriwl hàts i hoim oa 93> L wbcl il caaort caaort oa 1> L `s ipph`cm. A`lm `ts fcgbil`gih imviltiec. (``` ) @s tbc idovc puhhcy systcf il `mcih figb`lc or lot? Ilswcr 3.

(i) ( `) 9 K 6 9 je je Õ 9 f4 Õ 9 s ‗4 6 9>7 e Õ 9>= gf4 Õ 9 s ‗4 e gf4 s ‗4 6 9>5 cre (`` ) U 6 AW AW go gos q 6 AW (fix`fuf) à gos q 6 9 or   q q 6 >¾ (d) ( `) 94 jea (`` ) Pcs

(= )

bttps;//www.irulmccpschabchp.`lao/

^b 22

4>92

(``` ) 94> + 94> 6 4=> mylc mylc gf ( g ) ( `) ]bc ]bc mìe mìerif rif `s is sbowl sbowl

] C

]

]

]

H

(`` ) Igtuih FI lufdcr lufdcr oa puhhcys puhhcys `l tbc systcf 6 7. Odscrvcm FI 6

hoim

6

93>

6 4.3

caaort 1> (``` ) W`lgc, odscrvcm odscrvcm FI `s hcsscr tbil tbi l tbc tbcorct`gih tbcorct`gih FI tbcrca t bcrcaorc, orc, tbc figb`lc `s lot il `mcih figb`lc. Yucstòl 1.

(i (i)) I ri riy y oa h` hè ebt RP RP pissc isscss ttb brou roueb i rè rèbt iil lehcm hcm `so `sosgchc gchcss pr` pr`ssf is sb sbow owl l dcho how w.

(7) (7)

I =3¾

P

R

=3¾

G

D

( `) Ubit `s tbc ilehc tbroueb wb`gb wb`gb tbc `lg`mcl `lg`mcltt riy mcvìtcs ilm ccfcrec fcrecss out oa oa tbc pr`sf? pr`sf? (`` ) Lifc tbc tbc `lstrufclt `lstrufclt wbcrc tb`s tb`s igtòl oa p pr`sf r`sf `s put `lto usc. (``` ) Ub`gb pr`sf suraigc suraigc w`hh dcbivc is i f`rror? (d) Il odkcgt odkcgt ID `s phig phigcm cm dctw dctwccl ccl O ilm ilm A9 ol tbc pr`lg`pih ix`s oa golvcre`le hcls is sbowl `l tbc mìerif. (7 )

I

9A9

A9

D

O

A4

4A4

HCLW

bttps;//www.irulmccpschabchp.`lao/

^b 20

4>92

Gopy odkcgttbc ID.mìerif ilm dy us`le tbrcc stilmirm riys stirt`le arof po`lt I, odti`l il `fiec oa tbc (g (g)) Il odkcgt odkcgt `s phigcm phigcm it i m`stilgc oa 94 gf arof i golvcx golvcx hcls oa oa aogih aogih hcl hcletb etb 2 gf. A`lm ; (=) ( `) tb tbcc pos` pos`tò tòl lo oaa tbc tbc `f `fie iecc (`` ) liturc liturc oa oa tbc `fi `fiec ec.. Ilswcr 1.

(i) ( ` ) 0 > ¾ (`` ) Tcarigt`le Tcarigt`le ^cr`sg ^cr`sgopc opc (``` ) Wuraigc Wuraigc ID (d) ]b ]bcc aèu aèurc rc `s is ssbow bowl. l.

(g (g)) E`vcl u 6 ‗94 gf, a   6 6 +2 gf, gf, v 6 ?, lit liturc urc 6 ? 9

Ss`le tbc hcls aorfuhi 9 v

6

9 a

+

9 u

6

9 2

+

a

6

9

- 94

9 v

6

‗

9 u

7- 4 4=

wc bivc

6

9 4=

Or v 6 4= gf, (` (``) `) @fiec w`hh dc rcih or or `lvcrtcm. `lvcrtcm. Yucstòl 5.

(i) Mriw tbc mìerif oa i rèbt ilehcm `sosgchcs `sosgchcs pr`sf wb`g wb`gb b `s uscm to fijc il `lvc `lvcrtcm rtcm `fiec cr c gt . (7 ) ( d)

(7 ) Uoomcl Dox

Wolofctcr îpcr r`mcr 9> je

]ul`le Aorj I

]ul`le Aorj D

]bc mìerif idovc sbows i w`rc strctgbcm ovcr i solofctcr. Wtcfs oa two v`drit`le tul`le aorjs I ilm D irc tougbcm to tbc woomcl dox oa tbc solofctcr. @t `s odscrvcm tbit tbc pipcr r`mcr (i sfihh p`cgc oa pipcr aohmcm it tbc gcltrc) prcsclt ol tbc w`rc ah`cs oaa wbcl tbc stcf oa v`drit`le tul`le aorj D `s tougbcm to tbc woomcl dox dut tbc pipcr kust v`dritcs wbcl tbc stcf oa v`drit`le tul`le aorj I `s tougbcm to tbc woomcl dox.

( `) Lifc tbc pbclof pbclofclol clol wbcl tbc pipcr r`m r`mcr cr kust v`dritcs. v`dritcs. (`` ) Lifc tbc pbclof pbclofclo clol l wbcl tbc pipcr r`mcr ah`cs oaa. (``` ) Uby mocs tbc pipcr r`mcr ahy oaa wbcl tbc stcf oa tul`le aaorj orj D `s tougbcm to tbc dox? (g (g)) I pcrsol pcrsol `s stilm`le it tbc sci sborc. Il Il odscrvcr odscrvcr ol tbc sb`p, wb`gb `s ilgborcm ilgborcm `l dctwccl i

bttps;//www.irulmccpschabchp.`lao/

^b 0>

4>92

vcrt`gih ghàa ilm tbc pcrsol ol tbc sborc, a`rcs i eul. ]bc pcrsol ol tbc sborc bcirs two soulms, 4 scgolms ilm 7 scgolms iatcr scc`le tbc sfojc oa tbc a`rcm eul. @a tbc spccm oa soulm `l tbc i`r `s 74> f s ‗9 tbcl gihguhitc ; ( `) tbc m`stilgc m`stilgc dctwccl dctwccl tbc odscrvcr odscrvcr ol tbc sb`p ilm tbc pcrsol ol tbc sborc. sborc. (`` ) tbc m`sti lgc dctwccl tbc gh àa ilm tbc odscrvcr ol tbc sb`p.

(= )

Ghàa Fil Fi l Odscrvcr Wb`p Wci sborc Uitcr

Ilswcr 5.

(i) ]b ]bcc mìerif mìerif `s is sbowl. sbowl. I ^ =3¾ =3¾

Odkcgt Y

0>¾

Y

¢

G

=3¾ =3¾

@fiec ^

¢

D

(d) ( `) Aorgc Aorgcm m v`d v`drit ritò òls ls (`` ) Tcso Tcsoli lilg lgcc (``` ) ]bc w`rc oa tbc solofctcr solofctcr dce`ls to v`dritc w`tb `ts liturih ar cquclgy. cquclgy. ]b`s `s gihhcm gihh cm rcsolilgc. It rcsolilgc tbc ifph`tumc oa v`dritòl dcgofcs vcry hirec. (g (g)) Hct m`stilgc m`stilgc dctwccl dctwccl tbc odscrvcr ol tbc tbc sb`p ilm pcrsol pcrsol ol tbc sborc sborc dc x. Aor tbc a`rst soulm wb`gb tbc pcrsol bcirs iatcr 4 scgolms, wc bivc v 6

x t

Ü x 6 vt   6 6 74> Õ 4 6 1=> 1=> f

Hct m`stilgc dctwccl tbc sb`p ilm tbc ghàa dc x, tbcl `l tbc scgolm gisc

v 6

4 x + 1=> t

Ü 4 x + 1=> 6 vt  6 6 74> Õ 7 6 01>

Or 4 x 6 01> ‗ 1=> 6 74> f x 6

74>

6 91> f

4 Yucstòl 2.

(i) ( `) I ausc ausc `s ritcm 2 I. Gil `t dc us uscm cm w`tb w`tb il chcgt chcgtr`g r`gih ih ipphìl ipphìlgc gc ritcm ritcm 3 jU jU,, 4>> Q? E` E`vc vc i

bttps;//www.irulmccpschabchp.`lao/

^b 09

4>92

r cisol.

(7 )

(`` ) Lifc two siacty mcv`gcs mcv`gcs wb`gb irc gollc gollcgtcm gtcm to tbc h`vc w`rc oa i bouscbohm chcgtr`g chcgtr`g g`rgu`t. (d) ( `) A`lm tbc tbc cqu`vihc cqu`vihclt lt rcs`s rcs`stilgc tilgc dctwcc dctwccl l I ilm ilm D. 1U

=U D

I 7U

94 U

(`` ) Wtitc wbctbcr wbctbcr tbc rcs`st`v`ty oa i w`rc gbilecs gbilecs w`tb tbc gbilec `l tbc tb`gjlcss tb`gjlcss oa tbc w`rc. ( g ) Il chcgtr`g `r ol `s ritcm 44> Q, 4 jU.

(= )

( `) @a tbc `rol `s uscm aor aor 4 b mi`hy a`lm a`lm tbc gost oa rull rull`le `le `t aor olc olc wccj à `t gosts jUb.

n

=.43 pcr

(`` ) Uby `s tbc ausc ausc idsohutchy lcgcssiry lcgcssiry `l i powcr g`rgu`t? g`rgu`t? Ilswcr 2. (i) ( `) ]bc gurrclt gurrclt wb`gb wb`gb w`hh piss tbroue tbroueb b tbc cchcgtr`gih hcgtr`gih mcv`gc mcv`gc w`hh w`hh dc @ 6

^ Q

6

3>>> 4>>

]bc ausc gillot dc uscm is `t w`hh dhow oaa wbcl tbc gurrclt cxgccms 2 I. (`` ) FGD Ausc Ausc,, sw`tgb, sw`tgb, CHGD. (d) ( `) 1 U ilm 7 U irc `l pirihhch tbcrcaorc, 1½7 1+7

6

92 0

6 4 U

= U ilm 94 U irc `l pirihhch tbcrcaorc, = ½ 94

=2

6 7 U = + 94 91 ]bc idovc two irc low `l scr`cs tbcrcaorc, T 6 4 + 7 6 3 U 6

(`` ) Tcs`st`v`ty `s `lmcpclmclt `lmcpclmclt oa tbc m`fclsòl m`fclsòlss oa tbc w`rc. ]bcrca ]bcrcaorc, orc, lo gbilec. gbilec. ( g ) ( `) Q 6 44> 44> Q, ^ 6 4 jU 6 4>>> U Clcrey golsufcm C 6

^ (`l witt) ½ t (`l bour) 9>>>

6

4>>> ½ 4 ½ 5 9>>>

6 42 jU b

6 43 I.

Bclgc Bcl gc gost 6 42 Õ =.43 6

n

990

(`` ) ôwcr g`rgu`ts mriw hirec ifoult oa gurrclt, Chcgtr`g sbogj `l tb`s g`rgu`t `s vcry aitih

bclgc to ivo`m `t ausc `s lcgcssiry `l tbc powcr g`rgu`t. Yucstòl 0.

(i) ( `) Bcit Bcit supp supph` h`cm cm to i soh` soh`m m gb gbil ilec ec `t `lto `lto h`qu` h`qu`m. m. Ub Ubit it `s tb tb`s `s gbilec bilec `l pb pbisc isc gi gihhc hhcm? m?

(7)

(`` ) Mur`le tbc pbisc gbilec mocs tbc ivcriec j`lct`g clcrey oa tbc fohcguhcs oa tbc sudstilgc `lgrcisc? (``` ) Ubit `s tbc clcrey idsordcm mur`le tbc pbisc gbilec gihhcm? (d) ( `) Wtit itcc ttw wo m` màacrclgcs d dcctwc twccl "Bci Bcit G Gip ipiig`ty `ty" iil lm "W "Wpcgà`g Bc Bcit Gi Gip pig`t `ty y".

(7) (7)

bttps;//www.irulmccpschabchp.`lao/

^b 04 (`` ) E`vc i fitbcfit`gih fitbcfit`gih rchitòl dctwccl Bcit Gipig`ty ilm Wpcgà` Wpcgà`gg Bcit Gipig`ty. Gipig`ty.

4>92

(g (g)) ]bc tcfpcriturc tcfpcriturc oa 95> e oa witcr it 3>¾G `s howcrcm to 3¾G dy imm`le ggcrti`l crti`l ifo ifoult ult oa `gc `gc to ‗9 ‗9 `t. A`lm tbc fiss oa `gc immcm. E`vcl; Wpcgà`g bcit gipig`ty oa witcr 6 =4>> K je ¾G ilm Wpcgà`g hitclt bcit oa `gc 771>>> K je ‗9. (= ) Ilswcr 0.

(i) ( `) Fcht`le

(``) Lo

(```) Hitclt b bcit cit oa ausòl.

(d) ( `) ]bc ]bc two two màa màacrc crclg lgcs cs irc irc Wpcgà`g bcit gipig `ty

Bcit gipig `ty

9. Bcit Bcit rcqu`r qu`rccm tto o ri` ri`sc tbc tbc tcfpcritu riturrc oa i ul` ul`tt fis fisss o oaa i suds sudstil tilgc gc dy 9 mce mcerc rccc

9. Bcit Bcit rcqu` qu`rcm rcm to to ri` ri`sc tb tbcc tcfpcritu riturrc oa i sud sudsti stilg lgcc d dy y 9 mce mcerc rccc Gch Gchsù sùs. s.

Gchsùs. 4. Moc Mocs lo lot mc mcpcl clm ms u up pol tb tbc f fis isss oa oa ttb bc

4. Mc Mcpc pcl lm upo upol l o oaa f fis isss oa oa ttb bc suds sudsti tilg lgc. c.

sudstilgc. (`` ) ]bc rchitòl rchitòl `s, bcit gipig`ty gipig`ty 6 Wpcgà`g Wpcgà`g bcit bcit Õ Fiss oa sudstilgc. ( g)

E`vcl fiss oa `gc 6 fe Fisss oa witcr Fi itcr 6 95> 95> e @l`tì @l `tìhh tcfpc tcfpcritu riturc rc oa witcr witcr 6 3>¾G Hct tbc tbc a`lih a`lih tcfp tcfpcritu criturc rc oa tbc tbc f f`xtur `xturcc 6 3¾G ]bc hitclt hitclt bcit rcqu`rcm rcqu`rcm to gbilec gbilec f e oa `gc it >¾G to f e oa witcr it >¾G 6 f Õ 771 6 771 771 f K Low,, bcit rcqu`rcm to gbilec f e oa witcr it >¾G to 3¾G Low 6 fÕ= =.4 .4 Õ (3 (3 ‗ >) K 6 49 f K Low,, bcit host dy 95> e oa witcr to rcigb 3¾G arof 3>¾G Low 6 95> Õ = =.4 .4 Õ ((3> 3> ‗ 3) 6 74 97> 97> K Dy pr`lg`phc oa gihor`fctry Bcit Bcit hhos ostt 6 Bcit Bcit ei` ei`lc lcm m

771 771 f + 49 49 f 6 7497 7497> > or 735 735 f 6 7497 7497> > f 6 0> e Yucstòl 9>.

(i) ]bc mìerif mìerif sbows sbows i go`h woulm iroulm iroulm i S sbipc soa soatt `rol dir ID.

I

D +

-

bttps;//www.irulmccpschabchp.`lao/

^b 07

4>92

( `) Ubit `s tbc pohir`ty pohir`ty `lmugcm `lmugcm it tbc clms I ilm D wbcl wbcl tbc sw`tgb `s prcsscm? prcsscm? (`` ) Wueecst Wueecst olc wiy to strcletbcl strcletbcl tbc fielc fielct`g t`g a`chm `l tbc chcgtrofie chcgtrofielct. lct. (``` ) Ubit w`hh dc tbc pohir`t`cs it I & D à tbc m`rcgtòl m`rcgtòl oa gurrclt gurrclt `s rcvcrscm `l tbc g`rgu`t? (7) (d) ]bc o orc rc oa Srilùf Srilùf aoulm `l liturc golti`ls 04S472 ilm 04S473. Ihtboueb dotb tbc `sotopcs irc a`ssòlidhc, `t `s aoulm out cxpcr`fcltihhy tbit olc oa tbc two `sotopcs `s forc cis`hy a`ssòlidhc. ( `) Lifc tbc tbc `sotopc `sotopc oa Sril Srilùf ùf wb`gb `s cis`hy a`ssòlidhc. (`` ) E`vc i rcisol aor y your our ilswcr. ilswcr. (``` ) Ur`tc i lughcir rcigtòl rcigt` ol wbcl Srilùf 472 cf`ts il ihpbi pirt`ghc pirt`gh c to aorf i ]borùf (]b) lughcus. (7 ) (g (g)) Timìtòls e`vcl out arof i sourgc sourgc wbcl sudkcgtcm sudkcgtcm to il chcgtr`g chcgtr`g a`chm `l i m`rcgtòl pcrpclm pcrpclm`guhir `guhir to tbc`r pitb irc sbowl dchow `l tbc mìerif. ]bc irrows sbow tbc pitb oa tbc rimìtòl I, D ilm G. Il Ilswcr tbc aohhow`le qucstòls `l tcrfs oa I, D ilm G. (= ) ( `) Lifc tbc rimìtòl D wb`gb `s uliaacgtcm uliaacgtcm dy tbc chcgtrostit`g a`chm. (`` ) Uby mocs mocs tbc rimìtòl G mcahcgt mcahcgt f forc orc tb tbil il I? D G

I

+

Timòigt`vc Wudstilgc

Hcim Dox

(``` ) Ub`gb ifole tbc tbrcc giuscs tbc hcist dòhoe`gih mifiec cxtcrlihhy?

( `v ) Lifc tbc rimìtòl wb`gb wb`gb `s uscm `l girdol mit`le. Ilswcr 9>.

(i) ( `) I Wou Woutb tb ilm D Wou Woutb tb.. (`` ) @lgrcis`le tbc strcletb oa gurrclt tbroueb tbc tbc go`h. (``` ) ]bc ôhir`t`cs oa tbc two clms dcgofc dcgofc lortb. (d ) ( ` )

473 04 S

(`` ) @t rcim`hy idsords tbcrfih tbcrfih lcutrols lcutrols ilm dcgof dcgofcs cs ulstidhc. (``` ) ]bc rcigtòl rcigtòl `s 472 04 S

®

47= + 4Bc= 0>]b

( g ) ( `) Ei Eiffi rimì tòl (``` ) Ihpbi (I)

(``) Dcgiusc G `s hèbtcr tbil tbil I. I. (`v) Gi Gird rdol ol-9 -9= =

bttps;//www.irulmccpschabchp.`lao/

@GWC CRIF@LI]@OL YSCW]@OL Î^CT ‗ 4>90 (WOHQCM) WG@CLGC îpcr‗@ (^BPW@GW) (Olc bour ilm i biha bours) Ilswcrs to tb`s pipcr fust dc wr`ttcl wr`ttcl ol tbc pipcr pipcr prov`mcm scpiritchy. scpiritchy. Pou w`hh LO] dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc qucstòl pipcr. ]bc t`fc e`vcl it tbc bcim oa tb`s pipcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs.

Wcgtòl @  `s `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@. ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls ir ircc e`vcl `l drigjcts Z V.

WCG]@OL ‗ @ (=> Firjs) (Ittcfpt ihh qucstòls arof tb`s Wcgtòl) Yucstòl 9.

(i ) ]bc mìerif dchow s bows i ghiw biffcr uscm to rcfovc i li`h:

Ghiw biffcr

Z4V

Li`h

(`) ]o wb`gb wb`gb ghiss ghiss oa hcvcr hcvcr moc mocss `t dchol dchole? e? (``) E`vcl olc forc cxifp cxifp hc oa tbc sifc ghiss oa hcvcr fcltòlcm dy you `l (`) aor wb`gb tbc fcgbil`gih imviltiec `s ercitcr tbil olc. (d) ]wo dom`cs dom`cs I ilm D bivc fisscs `l tbc ritò 3;9 iilm lm tbc`r j`lct`g j`lct`g clcre`cs irc `l tbc ritò ri tò 943;0. A`lm tbc ritò oa tbc`r vchog`t`cs. Z4V (g) (`) Lifc tbc pbys`gih pbys`gih quilt`ty quilt`ty wb`gb wb`gb `s fcisurcm `l gihor`cs. gihor`cs. (``) Bow `s `s gihor`cs rchitcm to tbc W.@. ul`t oa tbit quilt`ty? (m) (`) (`) Mca`lc Mca`lc gouphc gouphc.. (``) Wtitc tbc W.@. ul`t oa fofclt fofclt oa gouphc. gouphc. (c) (`) Mca`lc Mca`lc gr`t`g gr`t`gih ih ilehc. ilehc. (``) Wtitc olc `fportilt aigtor wb`gb iaacgts tbc gr`t`gih ilehc oa i e`vc e`vcl l fcmùf. fcmùf. ^b 0=

4>90

bttps;//www.irulmccpschabchp.`lao/

^b 03

4>90

Ilswcr 9.

(i) (`) @t dcholes dcholes to ghiss @ hcvcr. hcvcr. (``) ]bc fcgbil`gih fcgbil`gih imviltiec imvilti ec `s ercitcr tbil olc wbcl caaort irf oa domy domy `s holecr tbil tbc hoim irf. Aor cxifphc ; growdir, sbcirs. (d)

domy I

domy D

f9 6 3 x

f4

J.C.9 6 943 y

J.C.4 6 0 y

6

9

6

9x

4

J.C. 4 fv 9 J.C 9 6 f9(v9) 4 4 J.C 9 J.C 4 943 y 0 y (v9 )4

6

6

6

9 4

f9 (v9 )

4

(v9 ) 4 . f9 (v4 ) 4 . f4 943 ½ f4

²

9 4

f4 ( v4 )

4

6

f9 (v9 )4 f4 (v4 )4

0 ½ f9

(v4 ) 4 (v9 ) 4 (v4 ) 4 v9 v4

v9 v4

6

943 ½ 9 x 0 ½ 3 x 43

6

6

0

3 7

(g) (`) B Bcit cit clcrey clcrey `s fcisurcm fcisurcm `l `l gihor`cs gihor`cs (``) W@ ul`t ul`t `s Kouhc. Kouhc. 9 gihor`c 6 =.92 K (m) (`) Goup hhcc ]wo cquih ilm oppos`tc pirihhch aorgcs, lot igt`le ihole tbc sifc h`lc, aorf Ü i gouphc. (`` (``)) Gouphc Gouphc m

A

O A

bttps;//www.irulmccpschabchp.`lao/

4>90

^b 01

Fofclt oa gouphc 6 A ½ m 6 L ½ f W@ ul`t oa fofclt oa gouphc 6 Lf or Kouhc. (c) (c ) (`) Gr`t`gih iilehc lehc `s ilehc oa oa `lg`mclgc `lg`mclgc `l mclscr mclscr fcmùf fcmùf gorrcs gorrcspolm`le polm`le to wb`gb ilehc oa rcarigtòl `l rircr rir cr fcmùf fcmùf `s 0>¾. (``) Tcarigt`vc `lmcx `lmcx ilm wivchcle wivchcletb. tb. Yucstòl 4.

(i) Il ch chcg cgtr trof ofie iel lct ct`g `g rimì rimìt` tò ol `s us uscm cm aor pb pboto toe eripb ripby `l aoe oe..

Z4 Z4VV

(`) @mcltà @mcltày y tbc tbc rimìtò rimìtòl. l. (``) Uby `s tb`s rimìtòl rimìt òl fcltòlcm fcltòlcm dy you, `mcih aor tb`s tb`s purposc? (d) (`) (`) Ubit Ubit `s tb tbcc rch rchitò itòl l dc dctwc twccl cl tbc rcarigt`v rcarigt`vcc `l `lmc mcx x oa witcr witcr w` w`tb tb rcspc rcspcgt gt to i`r (ifw) ilm tbc rcarigt`vc `lmcx oa i`r w`tb rcspcgt to witcr ( wfi). (`` (``)) @a tbc rcarigt`vc rcarigt`vc `lmcx `lmcx oa witcr w`tb rcspcgt rcspcgt to i`r (ifw) `s

3 . 7

Gihguhitc Gihguh itc tbc rcarigt`vc rcarigt`vc `lmcx `lmcx oa i`r i `r w`tb rcspcgt rcspcgt to witcr (wfi). (g) ]bc spc spcgà`g gà`g bcit bcit gipig`ty oa i sudstilgc I `s `s 7,2>> Kje ‗9J  ‗9 ilm tbit tbit oa i sudstil sudstilgc gc D `s ‗9 ‗9 =>> Kje J . Ub`gb oa tbc two sudstilgcs `s i eoom golmugtor oa bcit? E`vc i rcisol aor

your ilswcr.

Z4V

(m) I f fil il phiy`le i ahutc `s idhc to promugc lotcs oa màacrclt màacrclt arcquclg`cs. @a bc ghoscs tbc bohmcrs lcir b`s foutb, w`hh tbc p`tgb oa tbc lotc promugcm, `lgrcisc or mcgrcisc? E`vcl i r ci s ol. Z4V (c) (c ) ]bc mìerif dchow sbo sbows ws i hèbt hèbt sourgc ^ cfdcmmcm cfdcmmcm `l i rcgtileuhir ehiss dhogj IDGM IDGM oa gr`t`gih ilehc =4¾. Gofphctc tbc pitb oa tbc riy ^Y t`hh `t cfcrecs out oa tbc dhogj. ZUr`tc lcgcssi ry i lehcs.V Z4V D

G

Y =4¾

^

I

M

Ilswcr 4.

(i) (`) @larircm @larircm rimìtòls. rimìtòls. (``) @larircm rimìtòls irc uscm aor tb`s purposc or tbcy irc lot lot sgittcrcm fugb ilm gil pclctritc pclc tritc ipprcgìdhy ipp rcgìdhy tbroueb tbroueb `t. (d) (`)

w

f i ½ i f w 6 9

bttps;//www.irulmccpschabchp.`lao/

^b 05

4>90

Iggorm`le to pr`lg`phc oa rcvcrs`d`h`ty i

9

f w 6

f

w i

(``)

i

w

f w 6

3 7

f i 6 ?

Iggorm`le to pr`lg`phc oa rcvcrs`d`h`ty i f w 6

9

f

w i

f

w i

9

6

i

(g )

fw

6

9 3/7

6

7 3

I Wpcgà`g bcit Gipig`ty 6 7,2>> Kje ‗9J  ‗9

D G 6 =>> KJe ‗9

Wudstilgc D `s eoom golmugtor oa bcit. Tcisol Ü D bis bèb golmugt`v`ty dcgiusc `t bis how spcgà`g bcit gipig`ty.. How spcgà`g bcit gipig`ty 6 eoom golmugtor oa bcit. (m) ^`tgb mcgrciscs mcgrciscs is hcletb hcletb oa i`r gohufl gohufl `lgrciscs `lgrciscs `l ahutc.

(c)

Y =4¾

=4¾

=2¾ =2¾

0>¾

=2¾ =4¾ ^

0>¾

Yucstòl 7.

(i) (i ) (`) @a tbc hcls `s phigcm `l witcr `lstcim oa i`r, bow mocs `ts aogih hcletb gbilec? (``) Ub Ub`gb hcls, t b`gj or tb`l bis ercitcr aogih hcletb?

Z4V

(d) ]wo wivcs oa tbc sifc p`tgb bivc ifph`tumcs `l tbc ritò 9 ; 7.

Z4V

Ubit w`hh dc tbc ritò rit ò oa tbc`r;

bttps;//www.irulmccpschabchp.`lao/

^b 02

4>90

(`) @ltcls` @ltcls`t`c t`css ilm

(``) Arcqucl Arcquclg`c g`cs? s?

(g) (g) Bow mocs il `lgrci rcisc ``l l tbc tc tcf fpcrit itu urc iaa iaacgt tb tbcc spcgà`g rc rcs`stil stilggc oa i ; (`) Fctih ilm

Z4V

(``) Wcf`golmugtor?

(m) (`) Mc Mca`lc rcsolilt v`dritòls.

Z4V

(``) Ub`gb gbirigtcr`st`g gbirigtcr`st`g oa soulm, fijcs fijcs `t poss`dhc to rcgoel rcgoel`zc `zc i pcrsol dy b`s b`s vo`gc w`tbout scc`le b`f? ( c) @t `s poss`dhc aor i bymroecl (B) lughcus to cf`t il ihpbi pirt`ghc? Ilswcr 7.

(i) (`) Ho Hogih gih hcle hcletb tb w`hh. w`hh. (``) ]b`l hcls hcls bis ercitcr aogih aogih hcletb. hcletb. (d) (`) Ifph` Ifph`tumc tumc 6 9 ; 7 @ltcls`t`cs @ltcls`t`cs 6

á 9 ñ 4 6 9 å õ

Z4V

â 7ò

0

(``) Arcquclgy Arcquclgy mocs lot mcpclms mcpclms upol ifph`tumc.

X

`ts ritò `s 9 ; 9.

(g) (`) Fctih ‗ `lgrc `lgrcisc isc

(``) Wcf`gol Wcf`golmug mugtor tor ‗ mc mcgrcisc grcisc

(m) (`) (`) Tcsolil Tcsoliltt v`dritòls v`dritòls oggurs oggurs muc muc to pbcl pbclofc ofclo lol l oa Tcso Tcsolilg lilgc. c. @t oggurs muc to rcsolilgc. @t `s spcgìh gisc oa aorgcm v`dritòls wbcl arcquclgy oa cxtcrlihhy ipph`cm aorgc ol domy `s cquih to `ts liturih arcquclgy, domy rcim`hy dce`ls to v`dritc w`tb `lgrciscm ifph`tumc. Q`dritòls oa hirec ifph`tumc irc gihhcm rcsolilt v`dritòls. (``) p` p`tg tgb. b. (c) Lo ``tt `s lot lot poss` poss`dhc dhc.. @t bis lot cloueb chcgtrols ilm protols aor cf`tt`le ihpbi pirt`ghc. Yucstòl =.

(i ) Gi Gihguhitc tbc caacgt`vc rcs`stilgc igross ID ;

Z4V

U

3U

=

2U

I

D 7U

(d) (`) Wtitc wbctbcr wbctbcr tbc spcgà`g spcgà`g bcit gipig`ty oa i sudstilgc rcfi`ls rcfi`ls tbc sifc wbcl wbcl `ts `ts stitc gbilecs arof soh`m to h`qu`m.

bttps;//www.irulmccpschabchp.`lao/

^b 00

4>90

(``) E`vcl olc cxifphc to s upport your ils wcr.

Z4V

(g) (g ) I fielct jcpt it tbc gcltrc oa two go`hs go`hs I ilm D `s f fovcm ovcm to ilm aro is sbowl `l tbc mìerif. ]bc two eihvilofctcrs sbow mcahcgt òl. Z4V Woat `rol

L

Woat `rol

W

R

P

Gchh I

Gchh D

(m) Wtitc w` w`tb tb i rcisol rcisol wbctbc wbctbcr; r; x < y or x 8 y Z  xx ilm   yy i irrc fiel`tumcs oa mcahcgtòl.V

Z4V

(`) Uby i lughcir lughcir ausòl rcigtòl `s gihhcm i ttbcrf bcrfos os lughcir lughcir rcigtòl? r cigtòl? (``) Gofphctc Gofphctc tbc tbc rcigtòl; rcigtòl; = 7Bc + 4B 4 9 ® Bc4 +................+

Clcrey

( c) Wtitc two wiys to `lgrcis c tbc spccm oa rotitòl oa i M.G. fotor.

Z4V

Ilswcr =.

(i)

T 9 6 0U T 4 6 7U T 7 6 2U 9 T p 9 T p 9 T p

6

6

6

3U

9 T9 9

+

0

9

+

7U

2U

T 4

I

D

9 7

9+ 7 0

6

=

0U

0 2U

T  p 6

=U

0

7U

D

I

=

T W 6 T 7 + T  p T W 6

0 =

+

2

Ü

T W 6

0 + 74 =

6

=9 =

6

9> Õ4 U

(d) (`) Lo, spcgà`g spcgà`g bcit gipig`ty gbilecs gbilecs arof soh`m to h`qu`m. h`qu`m.

bttps;//www.irulmccpschabchp.`lao/

^b 9>>

4>90

(``) Aor c.e. `gc ilm witcr bivc màacrcl màacrcltt spcgà`g bcit bcit gipig`ty. gipig`ty. (g) y < x dcgiusc dcgiusc (  yy) go`h D bivc forc lufdcr lufdcr oa turls. (m) (`) Lughcir ausòl ausòl `s gihhcm gihhcm ]bcrfo lughcir lughcir rcigtòl rcigtòl is `t `t lot oggurs `l `l orm`liry orm`liry tcfpcriturc. tcfpcriturc. 5 @t lccm idout 9> Jchv`l tcfpcriturc. 9 (``) 47 Bc + 49 B ® 4= Bc + C lcrey + 9 B

WCG]@OL @@ (=> Firjs) Ittcfpt ily aour qucstòls arof tb`s t b`s Wcgtòl Wcg tòl Yucstòl 3.

(i) (i ) I dom domy y oa fiss fiss 9> Je `s jcpt it i bcèbt oa 3 f. f. @t `s ihhowcm to aihh ilm rcigb tbc eroulm.Z7V eroulm.Z7V (`) Ubit `s tbc totih fcgbil`gih clcrey posscsscm dy tbc domy it tbc bcèbt bcèbt oa 4f issuf`le issu f`le `t `s i ar`gtòlhcss fcmùf? (``) Ubit `s tbc j`lct`g j`lct`g clcrey posscsscm dy dy tbc domy domy kust dcaorc b`tt`le tbc eroulm? eroulm? 4 ]ijc e 6 9>f/s . (d) I ulàor f fctcr sgihc `s `l cqu`h`drùf is sbowl `l tbc mìerif; 3 gf

Z7V

7> gf A

> gf

9>> gf => ea

(`) Gihguhitc tbc wcè wcèbt bt oa tbc fctcr fctcr sgihc. (``) Ub`gb oa tbc aohhow`le aohhow`le optòls `s gorrcgt to jccp tbc ruhcr `l cqu`h`drùf wbcl => ea wt `s sbàtcm sbàtcm tto o > gf firj? A `s sbàtcm towirms > gf. or A `s sbàtcm towirms 9>> gf. (g) ]bc mìerif dchow dchow sbowl i puhhcy irrilecfclt irrilecfclt ; Z=V (`) Gopy tbc tbc mìerif mìerif ilm firj firj tbc m`rcg m`rcgtò tòl l oa tclsò tclsòl l ol cigb stilm oa tbc str`le.

D C

(``) (``) Ubit `s tbc vchog`ty vchog`ty ritò oa tbc tbc irrilecfclt? irrilecfclt? (``` (```)) @a tbc tclsòl igt`le ol tbc str`le `s ], ], tbcl wbit `s tbc rchitòlsb`p dctwccl ] ilm caaort C? (`v) (`v) @a tbc arcc clm oa tbc str`le fovcs tbroueb i m`stilgc x, a`lm tbc m`stilgc dy wb`gb tbc hoim `s ri`scm.

I

Hoim

bttps;//www.irulmccpschabchp.`lao/

^b 9>9

4>90

Ilswcr 3.

(i) J.C. 6 J`lct J`lct`g `g clce clcey y

f 6 9> je

e 6 9>

b 6 3f

].C. 6 J.C. + (S) ® ôtcltìh clcrey

(`) (`) Q 6 f feb eb

6 9> ½ 9> ½ 3

J.C. 6 >

6 3>> K

X

(``) J.C. 6 S

].C. 6 S 6 3>> K

Ubcl domy `s kust to b`t eroulm

S 6 feb

tbcl S 6 O

S 6 3 ½ 9> ½ 9 9> >

].C. 6 J.C. + S

6 3>> K

].C. 6 J.C. + O

].C. 6 J.C. J.C. 6 3>> K (d) (`) Iggorm`le Iggorm`le to pr`lg`phc pr`lg`phc oa fofcl fofcltt U9 ½ h9 6 U 4 ½ h4

=> ½ (7> ‗ 3) 6 U4 ½ (3> ‗ 7>)

=> ½ 43 6 U4 4>

U4 6 3> e

(`` (``)) K `s sbàtcm sbàtcm towirms towirms > gf. (g) (`) D ]

] C

] I Hoim

(``) Qchog`ty chog`ty ritò 6 4 Ü Q.T .T.. 6 (`` (```) `) ] 6 C

mh

(`v) m Ì 6 x

mÌ 6 x

6

m h m Ì

4x

bttps;//www.irulmccpschabchp.`lao/

^b 9>4

4>90

m H 6 ?

Q.T. 6 4 Q.T. 6

m Ì

X

Q.T. 6

4 x 64 x

m H

46

x m H

Ü

m H

6

x

4

Yucstòl 1.

(i) (i ) Bow mocs tbc ilehc oa mcvìtòl mcvìtòl aorfcm dy i pr`sf gbilec w`tb tbc `lgrcisc `l tbc ilehc oa `lg`mclgc? Z7V Mriw i eripb sbow`le tbc virìtòl `l tbc ilehc oa mcvìtòl w`tb tbc ilehc oa `lg`mclgc it i pr`sf suraigc. (d) I v`rtuih, m`f`l`sbcm m`f`l`sbcm `fiec `fiec `s aorfcm wbcl wbcl il odkcgt `s phigcm dctwccl dctwccl tbc opt`gih gcltrc ilm tbc pr`lg`pih aogus oa i hcls. Z7V (`) Lifc tbc typc typc oa hcls wb`gb aorfs tbc idovc `fiec, `fiec, (``) (``) Mriw i r iy mìerif to sbow sbow tbc aorfitòl aorfitòl oa tbc `fiec `fiec w`tb tbc idovc stitcm gbirigtcr`st`gs. (g) Il odkcg odkcgtt ``ss phigc phigcm m it i m`st m`stilg ilgcc oa oa 4= gf arof arof i golv golvcx cx hcls hcls oa ao aogih gih hcle hcletb tb 2 gf. gf.

Z=V

(`) Ubit `s tbc liturc liturc oa oa tbc `fiec `fiec so so aorfcm aorfcm?? (``) (``) Gihguhitc tbc m`stilgc m`stilgc oa tbc `fiec arof tbc tbc hcls, hcls, (``` (```)) Gihguhitc tbc fielà`gitòl fielà`gitòl oa tbc `fiec. Ilswcr 1.

(i) A`rst w`tb `lgrcisc `lgrcisc `l `l ilehc ilehc oa `lg`mclgc ilehc mcvìtòl a`rst mcgrcisc to mcvìtòl f`l`fuf ilm tbcl `t `lgrcisc. mcvitòl

2 f`l

`lg`mclgc

bttps;//www.irulmccpschabchp.`lao/

^b 9>7

(d) (`) golgivc golgivc hcls hcls (``) @fiec ``ss m`f`l`sbcm m`f`l`sbcm ilm v`rtui v`rtuih. h.

4>90

D 4A9

A9

I9

4A4

A4

(g) (`) (`) Tcih Tcih `f `fiec n

(``)

f 6 -4= gf, a  6 6 2 gf, 9 a

v 6 ?

9

9

9

v

f

v

6 -

6

9 a

+

9

f

9 9 9 v 6 2 - 4= 9 7 -9 4 6 6 6 94gf v 4= 4= (```) f 6

Q 6 94 gf

94 -9 6 f -4= 4 v

6

Yucstòl 5.

(i) @t `s odscrvc odscrvcm m tbit mur`le mur`le firgb-pist wc bcir bcir i disc mruf m`st`lgthy m`st`lgthy arof i m`stilgc gofpircm to tbc s`mc mr ufs. Z7V (`) Lifc tbc tbc gbirigtcr`st`g oa soulm issogìtcm w`tb w`tb tbc idovc odsc odscrvitòl, rvitòl, (``) E`vcl E`vcl i rcisol aor tbc idovc idovc odscrvitòl. odscrvitòl. (d) I pclmuhuf pclmuhuf bis bis i arcquclgy arcquclgy oa = v`dritòls pcr scgolm. scgolm. Il odscrvcr odscrvcr stirts tbc t bc pclmuhuf pclmuhuf ilm a`rcs i eul s`fuhtilcoushy. Bc bcirs tbc cgbo arof tbc ghàa iatcr 1 v`dritòls oa tbc pclmuhuf. pclm uhuf. @a tbc vchog`ty vchog`ty oa soulm `l i`r `s 7=> 7= > f/s, a`lm tbc m`stilgc dctwccl tbc ghàa ilm odscr vcr. Z7V (g) (g ) ]wo pclmuhufs G ilm M irc susp suspclmcm clmcm arof i w`rc is sbowl `l tbc aèurc e` e`vcl vcl dchow. dchow. ^clmuhuf ^clmuh uf G `s fimc to osg`hhitc osg`hhitc dy m`sphig`le `t arof `ts fcil pos`tòl. @t `s sccl tbit M ihso stirts osg`hhit`le. Z=V

bttps;//www.irulmccpschabchp.`lao/

4>90

^b 9>= w`rc

G

M

(`) (`) Lifc tbc tbc typc oa osg`h osg`hhitòl hitòl,, G w`hh cxcgu cxcgutc. tc. (``) (``) Lifc tbc typc typc oa osg`hhitòl osg`hhitòl,, M w`hh w`hh cxcgutc. cxcgutc. (``` (```)) @a tbc hcletb oa M `s fimc cquih cquih to G tbcl wbit màacrclgc w`hh you lot`gc `l tbc osg`hhitòls oa M? (`v) Ubit `s tbc t bc lifc oa tbc pbclofclo pbclofclol l wbcl tbc hcletb hcletb oa M `s fimc cquih to G? Ilswcr 5.

(i) (`) Houm Houmlcss lcss `s gbiri gbirigtcr`st`g gtcr`st`g oa soul soulm m issogìtcm w`tb w`tb idovc odscrvitòl. odscrvitòl. (``) Wuraigc irci oa diss mruf `s forc tbcrcaorc tbcrcaorc ifph`tumc `s `s forc ilm `t promugcs promugcs forc houmlcss. n (d) = v`dritòl v`dritòl 6 9 scgolm (arcquclgy (arcquclgy oa pclmuhuf) pclmuhuf) 9 v`dritòl 6

9 scgolm =

1 v`dritòl 6

9 ½ 1 scgolm =

t   6

1 scgolm =

Wpccm Wpcc m 6 7=> f/s 6 Q Aor cgbo, m   6

Qt 7=> ½ 1 6 433 f 6 =½4 4

(g) (`) Aorgc Aorgcm m osg`hhitòl osg`hhitòl is ^clmuhuf ^clmuhuf G `s fimc to osg`hhitc dy m`sphig`le `t arof fcil pos`tòl pos`t` ol ilm `t `s lot lot `l vigguf. vigguf. (``) Tcsolilt Tcsolilt osg`hhitòl. osg`hhitòl. (```) @a hcletb hcletb oa M `s fimc cquih to G tbcl t bcl v`dritòl v`dritòl oa dotb w`hh dc sifc. sifc. (`v) (`v) Tcsol Tcsolilg ilgc. c.

bttps;//www.irulmccpschabchp.`lao/

^b 9>3

4>90

Yucstòl 2.

(i) (` (`)) Ur` r`tc tc ol olcc imvi imvilt ltie iecc oa oa gol gollc lcgt` gt`le le ch chccgtr`g gtr`gih ih ipph` ipphìlg ilgcc `l `l pirih pirihhc hchh gof gofd` d`li litò tòl. l.

Z7 Z7VV

(``) Ubit gbirigtcr`st`g sbouhm sbouhm i ausc w`rc w`rc bivc? bivc? (```) Ub`gb w`rc `l i powcr g`rgu`t g`rgu `t `s gollcgtcm to tbc fctihh`g domy oa tbc ipphìlgc? (d) ]b ]bcc mìerif dchow sbows i mu muih goltroh sw`tgb g`rgu`t ggo ollcgtcm to i du duhd. Duhd

Z7V

D I

(`) Gopy tbc mìeri mìerif f ilm gofphctc gofphctc `t `t so tbit duhd `s sw`tgb sw`tgb OL. (``) Out oa I & D wb`gb olc `s tbc h`vc h`vc w`rc ilm wb`gb olc `s tbc lcutrih w`rc? (g) ]bc mìerif dchow dchow sbows sbows i g`rgu`t w`tb tbc jcy jcy j opcl. opcl. Gihguhitc ; J

4U

7U

3U

7.7Q, >,3U

(`) tbc rcs`stilg rcs`stilgcc oa tbc tbc g`rgu`t g`rgu`t wbcl wbcl tbc tbc jcy jcy j  `s `s opcl. (``) (``) tbc gurrclt mriwl mriwl arof tbc gchh gchh wbcl wbcl tbc jcy j  `s `s opcl. (``` (```)) tbc rcs`stilgc rcs`sti lgc oa tbc g`rgu g`rgu`t `t wbcl tbc jcy j  `s `s ghoscm. (`v) tbc gurrclt mriwl mri wl arof tbc gchh wbcl tbc jcy j `s ghoscm. Ilswcr 2.

(i) (`) @a dotb irc `l pirihhch gofd`litòl gofd`litòl tbcl à olc olc `s `s mifiecm mifiecm tbcl tbcl otbcr otbcr w`hh w`hh lot dc mifiecm or caacgtcm. (``) (``) I ausc w`rc sbouhm bivc bèb bèb rcs`st`v rcs`st`v`ty `ty ilm how fcht`le fcht`le po`lt. po`lt. (``` (```)) Cirtb w`rc. w`rc. (d)

Duhd

D I

bttps;//www.irulmccpschabchp.`lao/

^b 9>1

4>90

(`)

Duhd

D I

(``) (``) I `s h`lc h`lc w`rc ilm D `s lcutrih lcutrih w`rc. (g) (g) Q 6 7.7 7.7 Q r  6 6 >.3 U

(`) T 6 (3 (3 + >.3 >.3)) U 6 3.3 U (``) @ 6

Q T

6

7/ 7 3/3

6

7 3

6

U >.1

(``` ``)) T 9 6 3U, T 4 6 T 7 + T =, T 4 6 3 U 9 T p

6

T p 6

9+9 3 3

3 4

6

4 Õ3 U

T 6 (T p + r ) 6 (4.3 + >.3) 6 7 U

(` (`v v) @ 6

Q 7.7 6 6 9.9I T 7

Yucstòl 0.

(i ) (`) Mca`lc Gihor`fctry.

Z7V

(``) Lifc tbc fitcrìh fitcrìh uscm aor fij`le i Gihor`fctcr. Gihor`fctcr. (```) Uby `s i Gihor`fc G ihor`fctcr tcr fimc up oa tb`l sbccts oa tbc idovc fitcrìh ilswcrcm `l (``) (``)?? (d) ]bc fcht`le fcht`le po`lt po`lt oa lipbtbihclc `s 2>¾G ilm tbc roof tcfpcriturc tcfpcriturc `s 7>¾G. I sifphc o oa a h`qu`m lipbtbihclc it 9>>¾G `s goohcm mowl to tbc roof tcfpcriturc. Mriw i tcfpcriturc t`fc eripb to rcprcsclt tb`s gooh`le. @l tbc eripb, firj tbc rceòl wb`gb gorrcspolms to tbc arccz`le progcss. Z7V (g) 9>= e oa witcr it 7>¾G `s tijcl `l i gihor`fc gihor`fctcr tcr fimc o oaa goppcr oa fiss fiss =4e. Ubcl i gcrti`l fiss oa `gc it >¾G `s immcm to `t, tbc a`lih tcfpcriturc oa tbc f`xturc iatcr tbc `gc bis fchtcm, wis aoulm to dc 9>¾ G. A`lm tbc fiss oa `gc immcm. ZWpcgà`g bcit gipig`ty oa witcr 6 =.4 Ke ‗9¾G ‗9: Wpcgà`g Wpcgà`g hitclt hitclt bcit oa ausòl oa `gc 6 771 ‗9 ‗9 9 Ke : Wpcgà`g bcit gipig`ty oa goppcr 6 >.= Ke ¾G V Z=V

bttps;//www.irulmccpschabchp.`lao/

^b 9>5

4>90

Ilswcr 0.

(i) (i ) (`) ]bc fcisurcfclt oa bcit bcit clcrey tbit fcils bcit host or ei`lcm ei`lcm `s gihhcm gihor`fctry gihor`fctr y. (``) Goppc Goppcr. r. (```) Goppcr bis how spcgà`g spcgà`g bcit bcit gipig`ty à wc usc tb`l tb`l sbcctm, sbcctm, tbc tbcrfih tbcrfih gipig`ty aurtbcr mcgrciscs tbcrcaorc wc fimc `t tb`l sbccts oa goppcr. (d) 93> 9=> 97> 94>    c    r 99>    u     t 9>>    i    r    c 0>    p    f 2>    c      ] 5> 1> 3> =>

Arccz`le

7> 4> 9> ]`fc (W)

(g ) Bot dom`cs

Gohm domy

B4O ® 9 9> >= ef it 7>¾G

@gc ® x ef it >¾G

Gihor`fctcr Gihor`fc tcr 6 =4 ef it 7>¾G (Goppcr) Iggorm`le to pr`lg`phc oa gihor`fctcry Bcit host 6 Bcit ei`lcm A`lih tcfpcriturc tcfpcriturc 6 9>¾G Y 6 fgMt

Ü Ü

(9>= ½ (7> -9>) ½ =.4) + (=4 ½ (7> - 9>) ½ >.=)

6 ( x ½ 77 1) + ( x + = .4 ½ 9> - >)

2571 + 771 6 752 x 0>54 6 752 x

Ü

x 6

0>54 752

6

4=ef

Yucstòl 9>.

(i ) Mriw i lcit hidchcm mìer if oa il I.G. eclcri tor.

Z7V

(d) (`) Mca`lc lughci r a`ss òl.

Z7V

(``) Tcwr`tc ilm gofphctc tbc aohhow`le lughcir rcigtòl dy a`hh`le `l tbc itof`g lufdcr oa Di ilm fiss lufdcr oa Jr ; 473 9 04 S + > l

9== ..... Di

+ 7..1.. Jr + 7 >9l

Clcrey

bttps;//www.irulmccpschabchp.`lao/

GHIWW R (^BPW@GW) (@GWC 4>4>) WG@CLGC Î^CT-9 (]wo bours) Ilswcrs to tb`s îpcr fust dc wr`ttcl ol tbc pipcr prov`mcm scpiritchy. Pou w`hh lot dc ihhowcm to wr`tc mur`le tbc a`rst 93 f`lutcs. ]b`s t`fc `s to dc spclt `l rcim`le tbc Yucstòl pipcr. ]bc t`fc e`vcl it tbc bcim oa tb`s îpcr `s tbc t`fc ihhowcm aor wr`t`le tbc ilswcrs. Wcgtòl @ `s gofpuhsory. Ittcfpt ily aour qucstòls arof Wcgtòl @@ . ]bc `ltclmcm firjs aor qucstòls or pirts oa qucstòls irc e`vcl `l drigjcts ZV. WCG]@OL - @

(=> firjs)

Ittcfpt  ihh ihh qucstòls arof tb`s Wcgtòl. i) (`) Mca`lc fofclt oa aorgc. 9. (  i) 4 ``)) Ur` (`` Ur`tc tc tbc rchitòls rchitòlsb` b`p p dctwccl dctwccl tbc W@ ilm GEW ul`t oa fofclt oa aorgc. (  d) d) Mca`lc Mca`lc i j`howitt j`howitt bour. bour. Bow `s `t rchitcm to kouhc ? 4 ( g) g) I sitchh`tc rcvohvcs iroulm iroulm i p philct hilct `l i g`rguhir ord`t. Ubit `s tbc worj molc dy tbc sitchh`tc it ily `lstilt? E`vc i rci sol. 4 (  m m ) (`) @mcltày @mcltày tbc ghiss oa tbc tbc hcvcr sb sbowl owl `l tbc mìerif mìerif dchow ; 4

oa rotitòl `s jlowl is tbc fofclt oa aorgc. @t `s ihso jlowl is torquc. ``) W`lgc tbc W@ ul`t oa fofclt oa (``) aorgc `s Lcwtol fctrc, `.c ., Lf ilm tbc GEW ul`t oa fofclt oa aorgc `s mylc gf. Wo, tbc rcqu`rcm rchitòlsb`p dctwccl tbc W@ ilm GEW ul`t oa fofclt oa aorgc w`hh dc 9 Lf 6 9>3 mylc Õ 9>4 gf 6 9> 5 mylc gf d) Olc j`howitt bour `s mca`lcm is tbc (  d) chcgtr`gih clcrey wb`gb `s golsufcm dy tbc ipphìlgc oa9 jU powcr `l muritòl oa 9 bour. 9 j`howitt bour 6 9 j`howitt Õ 9 bour 6 9>>> witts Õ 9 bour {Y 9 j`howitt 6 9>>> witts} 6 9>>> witts Õ 71>> s {Y 9 bour 6 71>> s}

Y

(`` ``)) Bow ``ss `t poss`dh poss`dhcc to `l `lgrcisc grcisc tbc tbc F.I. oa tbc idovc hcvcr w`tbout `lgrcis`le `ts hcletb ? (c) E` E`vc vc ol olc cxif cxifph phcc oa cigb cigb wbcl ; 4 (`) Gbcf`gi Gbcf`gihh clcrey clcrey gbilecs gbilecs `lto `lto chcgtr`gih clcrey. ``)) Chcg (`` Chcgtr`gih tr`gih clcrey clcrey gb gbilec ilecss `lto `lto soulm clcrey. i) (`) ]bc promugt oa fiel`tumc oa aorgc Wo h. (  i) ilm tbc pcrpclm`guhir m`stilgc oa h`lc oa igtòl oa aorgc arof tbc ix`s ^b 9>0

è ì

ilm æY 9 witt 6

K

Õ 71>> s s 6 71>>>>> K

6 9>>> Õ

9 j`ho j`howi witt tt bou bourr 6 7.1 7.1 Õ 9>1 K

9K ø s

ö ü

^b 99>

4>4>

Wo, tb`s `s tbc rcqu`rcm rchitòl dctwccl j`howitt bour ilm Kouhc. ( g) g) @t `s e`vcl i sitchh`tc `s rcvohv`le iroulm tbc tbit Cirtb, Wo, hct us rcprcsclt tbc e`vcl s`tuitòl tbroueb tbc aohhow`le mìerif, it pirt`guhir `lstilt.

Lotc; Ubcl tbc m`rcgtòl oa igt`le aorgc ol tbc domy `s pcrpclm`guhir to tbc m`rcgtòl oa m`sphigcfclt, tbcl worj molc rcfi`ls zcro. Wo, `l tb`s e`vcl s`tuitòl, tbc worj molc dy tbc sitchh`tc it ily `lstilt w`hh dc zcro. @t `s dcgiusc ® tbc gcltr`pctih aorgc ( A g ) `s pcrpclm`-

gbcf`gih clcrey `lto chcgtr`gih clcrey. (``) ``) @l gisc oa chcgtr`g`lto dchh,soulm dchh, tbc chcgtr`gih chcgtr`gi clcrey gbilecs clcreyh is tbc soulms promugcm dy tbc chcgtr`gih sèlihs `s golvcrtcm `lto i aorf oa soulm clcrey. 4. (  i) i) I grilc grilc ‒I‐ ‒I‐ hàts hàts i bc bcivy ivy hoim `l 3 scgolms, wbcrcis ilotbcr grilc ‒D‐ mocs tbc sifc worj `l 4 scgolms. Gofpirc tbc powcr oa grilc ‒I‐ to tbi t oa grilc ‒D‐. 4 d) I riy oa hèbt (  d) hèbt aihhs l lorfihhy orfihhy ol i rcgtileuhir ehiss shid. 4 Mriw i riy mìerif sbow`le tbc pitb oa tbc riy t`hh `t cfcrecs out oa tbc shid. (  g) g) Gofphctc Gofphctc tbc pitb oa tbc tbc folofologbrofit`g hèbt riy ID `lg`mclt ol tbc suraigc ^Y oa tbc cqu`hitcrih ehiss pr`sf ^YT t`hh `t cfcrecs out oa tbc pr`sf muc to rcarigt` ol. 4

guhir to tbc m`rcgtòl oa tbc m`sphigcfclt/fotòl. (  m m ) (`) Gols`mcr tbc aohhow`le mìerif oa hcvcr.

]bc e`vcl mìerif `s oa ghiss @@@ hcvcr, dcgiusc Caaort (C) `s hy`le dctwccl Auhgruf (A) ilm ilm Hoim (H). ``)) Is Fcgbil`gih Imviltiec (`` 6

Caaort irf hoim irf

.

Wo, à tbc m`stilgc m`sti lgc oa tbc caaort arof tbc auhgruf `s `lgrciscm, tbcl tbc fcgbil`gih imviltiec oa tbc idovc hcvcr w`hh ihso dc `lgrciscm w`tbout `lgrcis`le `ts hcletb. (c) (`) @l gisc oa pr`firy gchh, gbcf`gih clcrey gbilecs `lto chcgtr`gih clcrey is `t `s uscm to golvcrt storcm

(  m m ) Ubcrc sbouh sbouhm m il odkcgt odkcgt dc phigcm `l arolt oa i golvcx hcls `l ormcr to ect ; 4 (`) il clhirecm rcih `fiec (``) ``) clhirecm v`rtuih `fiec ? (c) I polm polm ipp ippcirs cirs to dc 4.5 f mccp. mccp. @a = , tbc rcarigt`vc `lmcx oa witcr `s 7 a`lm a`lm tb tbcc igtuih igtuih mcptb mcptb oa tb tbcc polm polm.. 4 Wo h. (  i) i) Iggorm`le to qucstòl, grilc I hàts i bcivy hoim `l 3 scgolms ilm grilc D mocs tbc sifc worj `l 4 scgolms.

^b 999

4>4>

Y

ôwcr 6

X

(  g) g)

worj molc

t`fc tijcl ôwcr 6 worj molc / t`fc tijcl Î 6

U

...(`)

3s

{Y Aor grilc I, t  6 6 3s} ilm aor grilc D, ^D 6

U

...(``) 4s {Y Aor grilc D, t  6 6 4s} Ol m`v`m`le cqls. ( `) ilm (``), wc ect U Î ^D or

6

3 Ü

Î

U 4

^D

6

4 3

Î 6 >.= ^D

`.c ., tbc powcr oa grilc I `s >.= t`fcs to tbit oa grilc D. (  d) d) Ubcl i riy oa hèbt aihhs lorfihhy ol i rcgtileuhir ehiss shid, tbcl `t w`hh dc sbowl is aohhows ;

@l tbc e`vcl riy mìerif, Þ` 6 Ilehc oa `lg`mclgc Þc 6 Ilehc oa cfcreclgc Þr 9 il ilm m Þr 4 irc tbc ilehc oa rcarigtòls. ID 6 @lg`mclt riy DG 6 Tcarigtc Tcarigtcm m riy GM 6 Cfcreclt riy. Wo, tb`s `s tbc rcqu`rcm pitb oa tbc fologbrofit`g hèbt riy ID `lg`mclt ol tbc suraigc ^Y oa cqu`hitcrih ehiss pr`sf ^YT t`hh `t cfcrecs out oa tbc pr`sf muc to rcarigtòl. m ) (`) ]o ect il clhirecm rcih `fiec, tbc (  m odkcgt sbouhm dc phigcm (`l arolt oa i golvcx hcls) dctwccl A ilm 4A.

``) ]o ect il clhirecm v`rtuih `fiec, (``) tbc odkcgt sbouhm dc phigcm (`l arolt oa i golvcx hcls)dctwccl A ilm O.

Wo, `l tbc e`vcl gisc, Ilehc oa `lg`mclgc 6 Ilehc oa rcarigtòl 6 Ilehc oa cfcreclgc 6 > `.c ., Þ` 6 Þr   6 6 Þc 6 > Bclgc, tbc idovc riy mìerif `s tbc rcqu`rcm riy mìerif wb`gb sbows tbc pitb oa tbc riy t`hh `t cfcrecs cfcrecs out oa tbc shid.

(c) Igtuih mcptb oa polm 6 ? Ippirclt mcptb oa polm polm 6 4.5 f.

^b 994

4>4>

wivchcletb oa dhuc hèbt h  dhuc

=

‗5

Tcarigt`vc `lmcx oa witcr 6 7 Y

X Tcarigt`vc `lmcx oa fcmùf 6

X Ü

Ü

= 7

Ü

Tcih mcptb or Igtuih mcptb Ippirclt mcptb 6

Igtuih mcptb

X

4.5 f

Igtuih mcptb

=

6 ½ 4. 4.5 5f 7

6 = Õ >.0 f

6 =.2 Õ 9> gf Qchog`ty 6 wivchcletb Õ arcquclgy a Q 6 h ...(`) Is wc jlow tbit arcquclgy oa hèbt mocs lot gbilec wbcl `t cltcrs `lto i fcmùf, `.c ., a `s golstilt. cql. (`) dcgofcs Q ³ h ...(``) Is e`vcl h rcm  ‗5 f ilm =.2 Õ 9>‗5 f rcspcgt`vchy. (`) Ub Ub`gb `gb goh gohou ourr bis bis tbc tbc erci ercitcr tcr spccm `l i viguuf ? ``)) Ub (`` Ub`gb `gb gohou gohourr b bis is i ercitcr spccm spccm `l ehiss ? 4 d) Mriw i eripb dctwccl (  d) dctwccl m`sphigcf m`sphigcfclt clt arof fcil pos`tòl ilm t`fc aor i domy cxcgut`le arcc v`dritòl `l i vig uuf. 4 g) I soulm ( g) soulm w wivc ivc trivchh`le `l witcr bis bis wiv chcletb >.= f. 4 @s tb`s wivc ium`dhc `l i`r ? (]bc spccm oa soulm `l witcr 6 9=>> fs‗9) (  m m ) Uby mocs stolc hy`le hy`le `l tbc sul ect bcitcm up fugb forc tbil witcr hy`le aor tbc sifc muritòl oa t`fc ? 4 (c) Uby `s `t lot lot imv`sidhc to usc i p`cgc oa goppcr w`rc is ausc w`rc `l il chcgtr`g g`rgu`t ? 4 i) (`) W`lgc spccm mocs lot gbilec `l Wo h. (  i) viguuf, tbcrcaorc, ihh gohours w`hh fovc w`tb tbc sifc spccm, `.c., w`tb tbc spccm oa hèbt (7 Õ 9>2 f/s). (`` ``)) @t `s e`vcl tbit wivchcletb oa rcm

@t fcils tbit tbc rcm gohour hèbt w`hh bivc ercitcr spccm `l ehiss. (  d) d)

]b`s `s tbc rcqu`rcm eripb dctwccl tbc m`sphigcfclt arof fcil pos`tòl ilm t`fc aor i domy cxcgut`le arcc v`dritòls `l i viguuf. (  g) g) @t `s e`vcl tbit i soulm wivc `s trivchh`le `l witcr bis wivchcletb oa >.= f, `.c ., h  6 6 >.= f Wpccm oa soulm `l witcr, Q 69=>> fs ‗9 Qchog`ty 6 wivchcletb Õ Arcquclgy Y Ü Q 6 h   Õ Õ a

Ü

a 6

Q

6

9=>>

6

9=>>>

6 73>> Bz >.= = Is wc jlow tbit ium`dhc arcquclgy rilecs dctwccl 4> Bz to 4>,>>> Bz. Ilm tbc odti`lcm vihuc oa arcquclgy, `.c ., 73>> Bz h`cs dctwccl tb`s rilec,

h

hèbt, h Tcm 6 5.2 Õ 9> ‗5 f ilm

`.c . `l dctwccl 4> Bz ilm 4>,>>> Bz.

^b 997

4>4>

Wo, ycs tb`s soulm wivc `s ium`dhc `l i`r. (  m m ) ]bc stolc hy`le `l tbc sul ect bcitcm fugb forc tbil witcr hy`le aor tbc sifc muritòl oa t`fc. @t `s dcgiusc tbc spcgà`g bcit gipig`ty oa stolc `s hcss tbil tbit oa witcr, muc to wb`gb tbc tcfpcriturc oa stolc `s forc. (c) @t `s lot imv`sidhc to usc i p`cgc oa goppcr w`rc is ausc w`rc `l il chcgtr`g g`rgu`t. @t `s dcgiusc goppcr bis how spcgà`g rcs`stilgc ilm bèb fcht`le po`l po `l t, mu mucc to wb `g b `t w` hh lo lott drcij(ausc) mur`le tbc ovcrhoim`le `l tbc g`rgu`t. i) Gihguhitc tbc totih rcs`stilgc igross =. (  i) ID ; 4

(`) Ubit Ubit `s tbc tbc fielct` fielct`gg pohir pohir`ty `ty oa tbc hoop tbit aigcs us ? ``) U`t (``) U`tb b rcspcgt rcspcgt to tbc tbc mìerif mìerif b bow ow gil wc `lgrcisc tbc strcletb oa tbc fielct`g a`chm promugcm dy tb`s hoop ? i) Gols`mcr tbc e`vcl mìerif, Wo h. (  i)

@t gil dc sccl arof tbc aèurc tbit T 9 ilm T 4 irc `l pirihhch.

(  d) d) ]wo fctihh`g dhog dhogjs js ^ ilm ilm Y biv`le fisscs `l ritò 4;9 irc supph`cm w`tb tbc sifc ifoult oa bcit. @a tbc`r tcfpcriturcs r`sc dy sifc mcercc, gofpirc tbc`r spcgà`g bcit gipig`t`cs. 4 ( g) g) Ubcl Ubcl i gurrclt gurrclt girry`le golmugtor golmugtor `s phigcm `l i fielct`g a`chm, `t cxpcr`clgcs i fcgbil`gih aorgc. Ubit sbouhm dc tbc ilehc dctwccl tbc fielct`g a`chm ilm tbc hcletb oa tbc golmugtor so tbit tbc aorgc cxpcr`clgcm `s ; 4 (`) [cro (`` ``)) Fix`fuf ? m ) I lug (  m lughcu hcuss 2=R4>4 oa il chcfclt cf`ts il ihpbi pirt`ghc aohhowcm dy i dcti pirt`ghc. ]bc a`lih lughcus `s iP d .

Wo, tbc`r cqu`vihclt, Tcq 9 6

Ü

7½ 1

T9T 4 T9 + T 4

92

64 U 7+ 1 0 Low, tbc idovc Low, i dovc e`vcl e`vcl mìerif gil dc

Tcq9 6

6

sbowl is aohhows

Tcq 9 ilm T 7 irc `l scr`cs. X cqu`vihclt rcs`stilgc igross ID w`hh dc T ID 6 Tcq 9 + T 7 6 (4 + 3) U 6 5U. (  d) d) Gols`mcr i fctihh`g dhogj biv`le fiss ‒f‐, spcgà`g bcit gipig`ty ‒W‐, ei`ls bcit clcrey ‒Y‐ iatcr r`s`le tbc tcfpcriturc ‒ M ]‐, tbcl tbc rchitòl ifole tbcf `s e`vcl dy, Y 6 fWM] ...(`) Y Y

A`lm i A`lm i ilm ilm d d..

4

(c) ]bc mìerif mìerif dchow sbows sbows i hoop oa w`rc girry`le gurrclt @ ; 4

Aor dhogj I,

Fiss 6 4f,

Wpcgà`g bcit gipig`ty 6 W ^ tcfpcriturc 6 M]

^b 99=

4>4>

Aor dhogj D, Fiss 6 f Wpcgà`g bcit gipig`ty 6 WY tcfpcriturc 6 M] Is pcr qucstòl, Y^ 6 YY ...(``) X arof cqls. (`) ilm (``), wc ect 4f W^ M] 6 f WY M] Ü 4W^ 6 W Y

Ü

W^ 6

WCG]@OL - @@ (=> firjs) Ittcfpt ily aour qucstòls arof tb`s Wcgtòl. 3. (  i) i) ]bc aèurc aèurc dchow sbows sbows i s`fphc pclmuhuf oa fiss 4>> e. @t `s m`sphigcm arof tbc fcil pos`tòl I to tbc cxtrcfc pos`tòl D. ]bc potcltìh clcrey it tbc pos`tòl I `s zcro. It tbc pos`tòl D tbc pclmuhuf dod `s ri`scm dy 3 f. 7

9

W 4 Y @t fcils tbit spcgà`g bcit gipig`ty oa dhogj ^ `s biha oa tbc gipig`ty oa dhogj Y. ( g) g) @t `s e`vcl tbit wbcl i gurrclt girry`le golmugtor `s phigcm `l i fielct`g a`chm, `t cxpcr`clgcs i fcgbil`gih aorgc (A 6 ` D H s`l q). (`) Wo, tbc aorgc cxpcr`clgcm w`hh dc zcro wbcl tbc ilehc dctwccl tbc fielct`g a`chm ilm tbc hcletb oa tbc golmugtor `s >¾. ``)) Ilm tbc aorgc cxpcr`clgcm w`hh dc (`` fix`fuf wbcl tbc ilehc dctwccl tbc fielct`g a`chm ilm tbc hcletb oa golmugtor `s 0>¾. (  m m ) Iggorm`le to tbc qucstòl, i lughcus

(`) Ubit `s `s tbc potcltìh clcrey oa tbc pclmuhuf it tbc pos`tòl D ? ``) Ubit `s tbc (``) tbc totih fcgbil`gih fcgbil`gih clcrey it po`lt G ? ```) Ubit (```) Ubit `s tbc spccm oa tbc dod it tbc pos`tòl I wbcl rchciscm arof D ? (]ijc e (]ijc e 6 6 9> fs‗4 ilm tbcrc `s lo hoss oa clcrey.) (  d) d) (`) U`tb rcacrclgc rcacrclgc to tbc m`rcgtòl oa

4>4 2=R

il chcfclt cf`ts il ihpbi pirt`ghc oa aohhowcm dy i dcti pirt`ghc i - cf`ssòl

4>4

¼¼¼¼®

902 24[

¼¼¼¼®

2=R

X

d - cf`ssòl

902 + = 4 Bc 24[ 902 + 27[

>

-9 c

i 6 27 ilm d 6 902

(c) (`) ]bc fielct`g pohir`ty oa tbc hoop, tbit aigcs us w`hh dc d c ghogjw`sc, ghogjw`sc, `.c ., soutb pohc.

igtòl, bow arof mocs i aorgc màacr i gcltr`pctih gcltràueih aorgc mur`le ulàorf g`rguhir fotòl ? 7 (``) ``) @s gcltràueih gcltràueih aorgc tbc aorgc aorgc oa rcigtòl oa gcltr`pctih aorgc ? (```) ```) Gofpirc tbc tbc fiel`tumcs fiel`tumcs oa gcltr`pctih ilm gcltràueih gcltràueih aorgc. 7 (  g) g) I dhogj ilm ilm tigjhc tigjhc systcf oa puhhcys puhhcys bis vchog`ty ritò =. =

(`` ``)) Uc gil `lgrcisc tbc strcletb oa tbc fielct`g a`chm promugcm dy tbc hoop `l tbc e`vcl mìerif, dy. 9. 9. `lgrcis`le lufdcr oa turls oa go`h. 4. 4. `lgrcis`le tbc gurrclt.

(`) Mriw i lcit hidch hidchhcm hcm m` mìerif ierif oa oa tb tbcc systcf `lm`git`le ghcirhy tbc po`lts oa ipph`gitòl ilm m`rcgtòl oa hoim ilm caaort. (``) ``) Ubit w`hh w`hh dc `ts Q.T. Q.T. à tbc wcèbt oa tbc fovidhc dhogj `s moud moudhcm hcm ?

^b 993

4>4>

Wo h. (  i) i) Gols`mcr tbc e`vcl mìerif,

rcigtòl pi`r oa aorgcs igts ol two dom`cs, dut bcrc `t `s igt`le ol i s`lehc domy. ```) ]bc fiel`tumcs oa gcltr`pctih ilm (```) gcltràueih aorgc irc cquih. g) (`) (  g)

@t `s e`vcl tbit Fiss oa s`fphc pclmuhuf, f 6 4>> e 6 >.4 je. ôtcltìh clcrey clcrey it pos`tòl I `s zcro, `.c ., ^CI 6 >. (`) ôtcltìh clcrey it pos`tòl D, ^CD 6 feb 6 >.4 Õ 9> Õ 3 6 9> K. K. (`` ``)) Ubclcvcr tbc dod oa tbc pclmuhuf rotitcs, tbcl fcgbil`gih clcrey rcfi`ls sifc it ihh tbc po`lts iggorm`le to tbc hiw oa golscrvitòl oa fcgbil`gih clcrey. X Fcgbil`gih clcrey it po`lt G 6 9> K. (``` ```)) Is tbc dod `s rotit`le, so tbc potcltìh potcl tìh clcrey clcrey oa dod it pos`tòl D w`hh ect golvcrtcm `lto j`lct`g clcrey it po`lt I.

X

Wo, tb`s `s tbc rcqu`rcm mìerif. ``) X Qchog`ty ritò `s ihwiys cquihs (``) to l. Wo, à tbc wcèbt oa fovidhc dhogj `s moudhcm, tbcl `ts fcgbil`gih imviltiec w`hh ect caacgtcm dut tbc vchog`ty ritò w`hh rcfi`l golstilt. i) I m`vcr `l witcr hoojs odh`qu 1. (  i) odh`quchy chy it il odkcgt ID `l i`r. 7

4 JC it pos`tòl I, J.CI 6 9 f u 4

9

Ü

9> 6

Ü

9>> 6 u4

Ü

u

4

½ >.4 ½ u4

6 9>fs -9

(  d) d) (`) U`tb rcacrclgc to tbc m`rcgtòl oa

(`) Mocs tbc tbc odkcgt ippcir ippcir tihhcr tihhcr,, sbortcr or oa tbc t bc sifc s`zc to tbc

fotòl, dotb gcltràueih aorgc ilm gcltr`pctih aorgc igts `l oppos`tc m`rcgtòl. Gcltr`pctih aorgc igts towirms tbc gcltrc wb`hc gcltràueih aorgc igts rimìhhy outwirms.

m`vcr ? (``) ``) Wbow Wbow ttbc bc pit pitb b oa two two riys IG ilm IM stirt`le arof tbc t`p oa tbc odkcgt is `t trivchs towirms tbc m`vcr `l witcr ilm bclgc

(`` ``)) Lo, tbc gcltràueih aorgc `s lot tbc aorgc oa rcigtòl it gcltr`pctih aorgc. @t `s dcgiusc tbc igtòl-

odti`l tbc `fiec oa tbc odkcgt. (  d) d) Gofphctc Gofphctc tbc pitb pitb oa tbc riy ID tbroueb tbc ehiss pr`sf `l ^YT t`hh `t

^b 991

4>4>

cfcrecs out oa tbc pr`sf. E`vcl tbc gr`t` gr` t`gi gihh ile ilehc hc o oaa tb tbcc ehi ehiss ss is =4¾. =4¾. 7

Bclgc, arof tbc idovc mìerif, `t gil dc si`m tbit tbc odkcgt w`hh ippcir ippcir tihhcr. tihhcr. (  d) d)

( g) g) I hcls oa aogih hcletb hcletb 4> gf aorfs aorfs il `lvcrtcm `fiec it i m`stilgc 1> gf arof tbc hcls. = (`) @mcltày @mcltày tbc tbc hcls. hcls. ``)) Bow air (`` air `s tbc hcls prcsclt prcsclt `l arolt oa tbc odkcgt‐ ? ```)) Gihguhitc (``` Gihguhitc tbc fielà`gitòl fielà`gitòl oa tbc `fiec. i) Gols`mcr tbc e`vcl mìerif, Wo h. (  i)

(  g) g) (`) Is pcr tbc `laorfitòl e`vcl `l tbc qucstòl, wc gil golghumc tbit tbc e`vcl hcls `s i golvcx hcls dcgiusc tbc aorfcm `fiec `s `lvcrtcm. (``) ``) E`vcl, a 6 4> gf u 6 1> gf Iggorm`le to hcls aorfuhi, 9

I

a

Ü Ü (`) ilm (``) Is wc jlow tbit wbcl i riy oa hèbt cltcrs arof i`r to witcr, `.c ., arof rircr to mclscr fcmùf, `t dclms towirm tbc

Ü Ü

9 u

9 u 9 u

6

9

-

u

6

9

-

u

6 6

9 u

9 a

9 - 9 1> 4> -4 1>

u 6 - 7> gf

lorfih. Wo, tbc idovc mìerif w`hh dcgofcc is aohhows ; dcgof

u

1>

6 -4 u -7> 5. (  i) i) E` E`vc vc rc rcis isol olss aor tbc tbc aohh aohhow ow`l `le e; 7 Mur`le tbc miy ; (`) Ghoums Ghoums ippci ippcirr wb`tc wb`tc.. (``) ``) Wj Wjy y ip ippcir pcirss dhu dhuc. c. (  d) d) (`) Lifc tbc tbc systcf wb` wb`gb gb clidhcs clidhcs

(```) ```) Fielà`gitòl, f 6

6

us to hogitc ulmcrwitcr odkcgts dy trilsf`tt`le uhtrisol`g wivcs ilm mctcgt`le tbc rcahcgt`le `fpuhsc. 7

^b 995

(`` ``)) Ubit irc igoust`g igoust`gihhy ihhy fcisu fcisuridhc ridhc quilt`t`cs rchitcm to p`tgb ilm houmlcss ? g) (`) Ubcl i tul`le ( g) tul`le aorj Zv`drit`l Zv`drit`leV eV `s bchm ghosc to cir, olc bcirs i ai`lt buf. ]bc sifc Zv`drit`le tul`le aorjV `s bchm sugb tbit `ts stcf `s `l goltigt w`tb tbc tidhc suraigc, tbcl olc bcirs i houm so ulm. Cxphi`l. = ``)) I f (`` fil il stilm`l stilm`le e `l ar arolt olt oa i vcrt`gih ghàa a`rcs i eul. Bc bcirs

4>4>

(``) ``) Hct tbc fil `s stilm`le `larolt oa ghàa it i m`stilgc oa m gf arof tbc ghàa. Wo, wbcl bc fovcs ghoscr (iatcr bcir`le cgbo) to tbc ghàa dy 2= f, tbcl tbc m`stilgc w`hh dc (m  ‗ ‗ 2=) 2=) ggf f. Y wc jlow tbit t W`lgc vchog`ty w`hh rcfi`l sifc `l dotb giscs, tbcrcaorc, tbcrcaorc,

4 ( m - 2=)

4m tbc cgboghoscr iatcr to 7.3tbc scgolms. fov`le ghàa dy Ol 2= f, bc bcirs tbc cgbo iatcr 7 scgolms. Gihguhitc tbc m`stilgc oa tbc ghàa arof tbc `l`tìh pos`tòl oa tbc fil. i) (`) Is ghoums sgittcr ihh tbc gohours oa Wo h. (  i) sulhèbt (`.c., Q@DEPOT sgittcr) `l tbc sjy mur`le tbc miy, tbcrcaorc, muc to tb`s rcisol, tbc ghoums ippcir wb`tc. ``)) Wjy ippcirs dhuc dcgiusc wbcl tbc (`` hèbt cltcrs arof tbc sul `lto tbc sjy, tbc i`r hiycrs sgittcr olhy dhuc pirt oa hèbt forc tbil ily otbcr gohour. (  d) d) (`) WOLIT, `.c ., Woulm Livèitòl ilm Tile`le `s i systcf wb`gb clidhcs us to hogitc ulmcr witcr

4m

Q6

t9

6

t 4

{Y t 9 6 7.3 s, t 4 6 7 s}

Ü

4m 7.3 4m 5

Ü

6

6

4 (m   - 2=) 7 m   - 2=

7

1m  6 6 5m  ‗ ‗ 322

m 6 322 f .

2. (  i) i) ]bc mìerif mìerif dchow sbows sbows tbc gorc oa i trilsaorfcr ilm `ts `lput ilm output gollcgtò ls. 7

odkcgts dy trilsf`tt`le uhtrisol`g wivcs ilm mctcgt`le tbc rcahcgt`le `fpuhsc. (`` ``)) Arcquclgy ilm Ifph`tumc irc rcspcgt`vchy rcspcgt`vc hy fcisu fcisuridhc ridhc quilt`t`cs rchitcm to p`tgb ilm houmlcss. ( g) g) (`) Ubcl i tul`le aorj `s bchm ghosc to cir, `t bis sofc soulm clcrey. Dut wbcl `t `s bchm sugb tbit `ts stcf `s `l goltigt tbc tidhc suraigc, tbcl muc tow`tb tbc hirecr suraigc irci oa tidhc top, `t promugcs forc v`dritòls w`tb ercitcr soulm clcrey.

(`) Wtitc Wtitc tbc fitcrìh fitcrìh uscm uscm aor aor tbc tbc gorc. ``) Gopy il (``) ilm m gof gofphctc phctc tbc tbc mìerif mìerif oa tbc trilsaorfcr dy mriw`le `lput ilm output go`hs. (  d) d) (`) Ubit Ubit ir irc ssu upcrgo crgol lmugt gtor orss ? 7 ``) Gihgu (``) Gihguhitc hitc tb tbcc gurrclt gurrclt mriwl mriwl dy il ipphìlgc ritcm 99> U, 44> Q wbcl gollcgtcm igross 44> Q supphy. (```) ```) Lifc i sudstilgc sudstilgc wbosc rcs`stilgc mcgrciscs w`tb tbc `lgrcisc `l tcfpcriturc.

^b 992

4>4>

(```) ```) Uc jlow tbit scf`golmugtor‐s rcs`stilgc mcgrciscs w`tb tbc `lgrcisc `l tcfpcriturc. Aor cxifphcs ; W`h`gol, Eripb`tc, ctg. g) Gols`mcr tbc e`vcl mìerif. (  g)

( g) g)

= ]bc mìerif idovc sbows tbrcc rcs`stors gollcgtcm igross i gchh oa c.f.a. 9.2 Q ilm `ltcrlih rcs`stilgc r rcs`stilgc r.. Gihguhitc ; (`) Gur Gurrr clt tbr ou oueb eb 7 U rcs`stor. (`` ``)) ]b ]bcc `ltcrlih `ltcrlih rcs`stil rcs`stilgc gc r r.. Wo h. (  i) i) (`) Woat `rol gorc irc fimc oa tb`l hif`litcm sbccts wb`gb irc cèbt (2) ] or S sbipcm. ``)) W`lgc tbc `lput vohtiec `s ercitcr (`` tbil tbc output vohtiec, tbcrcaorc, tbc e`vcl trilsaorfcr `s i stcpmowl trilsaorfcr. Wo, tbc e`vcl mìerif w`hh dcgofc is aohhows ;

(`) W`lgc 7U ilm 9.3 U rcs`stor irc `l pirihhch gofd`litò gofd`litòl. l. ]bcrcao ]bcrcaorc rc tbc potcltì potc ltì h màacr clgc igross igr oss tbcf w`hh rcfi`l sifc. H ct ct @ 9 dc tbc gurrclt piss`le tbroueb7 U rcs`sto rcs`storr ilm @4 dc tbc gurrclt piss`le tbroueb 9.3 U rcs`stor. Q 6 7 @9 ilm Q 6 9.3 @4 {Y Q 6 @T} potcltìh potcl tìh màacrclgc màacrclgc igross tbcf `s Y sifc, X 7 @9 6 9.3 @4

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