ISMC 2016 Primary 4 Questions

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE 6>73 (^raogry 0) 7 bjur 8> oaeutms

Aestruhtajes tj pgrtahapgets 7. @j ejt jpme tbm fjji fjjidmt dmt uetad yju grm tjd` tj `j sj. 6. Gttmopt GDD 6= qumstajes. 8. [ratm y yjur jur g geswmrs eswmrs emgtdy ae tbm Geswmr Xbmmt prjv prjva`m`. a`m`. 0. Ogris grm gwgr`m` cjr hjrrmht geswmrs jedy. =.  Gdd cakurms grm ejt `rgwe tj shgdm.  3. Ematbmr ogtbmogtahgd tgfdms ejr hgdhudgtjrs ogy fm usm`. Wumstajes ae Xmhtaje G hgrry 6 ogris mghb, qumstajes ae Xmhtaje F hgrry 0 ogris mghb ge` qumstajes ae Xmhtaje H hgrry fmtwmme 3 tj 7> ogris mghb.

Ljaetdy jrkgeasm` fy

7

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE Xmhtaje G

Mghb jc tbm qumstajes 7 tj 7> hgrrams 6 ogris. 7.

Cadd ae tbm tbrmm fdgeis suhb tbgt tbm euofmrs cjro tbm sogddmst 3-`akat euofmr tbgt as as g oudtapdm jc 8, 0 ge` =. 6

6.

8.

2

1

Pbm sogddmst hjooje oudtapdm jc twj euofmrs, G ge` F, as 72>. Pbm dgrkmst hjooje cghtjr as 76. Ac tbm dgrkmr euofmr as ejt g oudtapdm jc tbm sogddmr euofmr, wbgt grm tbm euofmrs G ge` F:

    o   h    6

Cakurm G bgs sa`ms wbahb ommt gt rakbt gekdms. [bgt as tbm pmraomtmr jc tbm cakurm:     o   h    2

76 ho

0.

Pbm tgfdm fmdjw sbjws pgrt jc g PS prjkrgoom kua`m. Paom

^rjkrgoom

2 go 77 go

Hgrtjje< Hgrm Fmgrs [jrd` gt Xpjrts Emws @ashjvmry Xhamehm @rgog Xmragd< Cdgsb 7

Jem jc tbm prjkrgooms as  tbm dmektb jc gejtbmr prjkrgoom 0 [bgt grm tbm twj prjkrgooms:

6

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

=.

Ac  GJF ? 3>¾ ge` HJ@ ? 8>¾, wbgt crghtaje jc tbm grmg jc tbm harhdm as sbg`m`: @ J

H F

 G

3.

8

=

0

3

[bme g as `ava`m` fy f, tbm rmsudt as . [bme f as `ava`m` fy h , tbm rmsudt as . [bgt as tbm crghtaje wbme g as `ava`m` fy h : Kavm yjur geswmr ae tbm djwmst tmro.

;.

Pbmrm grm makbt fgdds, euofmrm` 7 tj 2. Xax jc tbm fgdds wmakb tbm sgom, sgom, wbadm tbm jtbmr twj grm mghb 7 k dakbtmr tbge tbm rmst. Pbm fgdds grm pdghm` je g smt jc shgdms gs sbjwe.

8 7

0

=

6

;

2 Cak. F

Cak. G

3

7 8

6 =

0

2

Cak. H

[bahb twj fgdds grm dakbtmr tbge tbm rmst:

2.

Ae tbm squgrm kra`, GF cjros jem sa`m jc g tragekdm GFH ae wbahb  GFH as g rakbt gekdm ge` FH as twahm gs djek gs GF. Hjopdmtm tbm `rgwaek jc tbm tragekdm GFH watbae tbm kra`. F

 G

8

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

1.

@rgw tbm dgrkmst pjssafdm qug`radgtmrgd aesa`m tbm fjx suhb tbgt at   tjuhbms tbm `jts jedy gt tbm 0 hjremrs,   bgs 6 pgars jc pgrgddmd daems ge`   bgs ej daems jc syoomtry.

7>.

Pbm dmektb ge` wa`tb jc g rmhtgekdm grm fjtb `jufdm`. [bahb jc tbm cjddjwaek stgtmomet gfjut tbm grmg ge` pmraomtmr as trum: (G) Pbm grmg ge` tbm pmraomtmr grm uehbgekm`. (F) Pbm grmg ge` tbm pmraomtmr grm fjtb `jufdm`. (H) Pbm grmg as 0 taoms tbm jrakaegd grmg ge` tbm pmraomtmr as `jufdm`. (@) Pbm grmg as `jufdm` ge` pmraomtmr as 0 taoms gs dgrkm gs tbm jrakaegd pmraomtmr. (M) Pbm grmg ge` tbm pmraomtmr grm fjtb 0 taoms gs dgrkm.

Xmhtaje F

Mghb jc tbm qumstajes 77 tj 6> hgrrams 0 ogris. 77.

]saek tbm euofmrs 7 tj 1, cadd ae ae tbm fdgeis fmdjw tj jftgae tbm dgrkmst pjssafdm geswmr. ]sm mghb euofmr gt ojst jehm.

Y

76.

û

Û(

+

)_  ‘ (

6

7

8

0

Û

+

 ‘ 

) ? dgrkmst pjssafdm geswmr  

 jc g euofmr oaeus 2 as mqugd tj  jc tbm euofmr pdus ;. [bgt as tbm euofmr:

0

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

78.

Cruat smddmr smddmr G stghis bmr jrgekms aetj g 0-dgymr bakb squgrm-fgsm` pyrgoa` struhturm gs sbjwe ae tbm cakurm fmdjw. Cruat smddmr F ogegkms tj stghi bas jrgekms ae g saoadgr pyrgoa` struhturm fut 3 dgymrs bakb. Bjw ogey jrgekms `a` Cruat smddmr F usm tj ogim bas pyrgoa`:

70.

Igtam bgs cjur pahturm hgr`s. Xbm pdghm` tbm hgr`s ae g rjw ghhjr`aek ghhjr`aek tj tbm cjddjwaek cjddjwaek aestruhtajes. 7 g. f. h. `.

6

0

8

Pbm bgt as ejt tj tbm dmct jc tbm hjgt. hjgt. Pbm rgaefjw as ejt tj tbm rakbt jc tbm uofrmddg. Matbmr tbm bgt jr tbm rgaefjw as je tbm dmct dmct me` jc tbm rjw. Matbmr tbm bgt jr tbm uofrmddg as emxt tj tbm rgaefjw.

Xtgtm tbm pahturms tbgt grm ae pjsatajes 7, 6, 8 ge` 0.

7=.

Kaeg bgs g fjx hjetgaeaek `accmrmet euofmrs jc = `accmrmet sbgpms. Pbm `accmrmet sbgpms grm<

Pbm tgfdm fmdjw dasts sjom jc tbm prjpmrtams jc tbmsm sbgpms ge` tbm euofmr jc pamhms wbahb bgvm tbmsm prjpmrtams. Cadd ae tbm oassaek aecjrogtaje ae tbm tgfdm. ^rjpmrty Jedy 7 pgar jc pgrgddmd daems Mxghtdy 6 pgars jc pgrgddmd daems Mxghtdy 8 pgars jc pgrgddmd daems Ej pgrgddmd daems Mxghtdy 7 daem jc syoomtry Mxghtdy 6 daem jc syoomtry Mxghtdy 8 daem jc syoomtry Mxghtdy 0 daem jc syoomtry

Euofmr jc pamhms 8 77 6 2

= =

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

73.

Gda bgs `rgwe 8 tragekdms. Pbm 7st as g tragekdm wbjsm suo jc twj jc ats gekdms as 1> ¾. Pbm 6e` as g tragekdm wbjsm suo jc twj jc ats gekdms as dmss tbge 1> ¾. Pbm 8r` as g tragekdm wbjsm suo jc twj jc ats gekdms as 76> ¾. Cjr mghb jc tbm stgtmomets fmdjw, put g Pbm carst jem bgs fmme `jem cjr yju. 7. 6. 8. 0. =

7;.

72.

 tj

ae`ahgtm wbmtbmr at as Prum jr Cgdsm.

Pbm suo jc tbm tbrmm gekdms jc mghb tragekdm as 72> ¾. Ejem jc tbm gekdms `rgwe grm ojrm tbge 1> ¾.  Gdd jc tbm tragekdms hjud` bgvm sa`ms jc `accmrmet dmektbs. Gdd jc tbm tragekdms hjud` bgvm 6 mqugd sa`ms. Gdd jc tbm tragekdms hjud` bgvm 8 mqugd sa`ms.

Prum  

Cgdsm

8 Cmfrugry 7111, cmdd je g [m`ems`gy. Je wbgt `gy jc tbm wmmi wadd 8 Cmfrugry 6>6> fm:

7

7

 jc tbm euofmr jc fjys ge`  jc tbm euofmr jc kards ae g hdgss dmct tbm hdgssrjjo tj bmdp 8

8

7

jut gt ge mvmet ae tbm bgdd.  jc tbm rmogaeaek pupads wmet tj ommt watb tbmar HHG 6 tmghbmrs. Pbmrm wmrm jedy ; pupads ae tbm hdgssrjjo gctmr tbgt. Bjw ogey pupads wmrm ae tbm hdgssrjjo gt tbm fmkaeeaek:

71.

@geamd bgs tbrmm typms jc ogrfdms< ogrfdms< sogdd, sogdd, om`auo om`auo ge` dgrkm. Bm cae`s tbgt 1 sogdd ogrfdms ge` 8 om`auo ogrfdms wmakb gs ouhb gs = dgrkm ogrfdms. Bm gdsj cae`s tbgt 7 om`auo ogrfdm ge` 7 dgrkm ogrfdm wmakb gs ouhb gs = sogdd ogrfdms. Bjw ogey sogdd ogrfdms wmakb gs ouhb gs = dgrkm ogrfdms:

3

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

6>.

Ae tbm cjddjwaek hgdhudgtaje, g ge` f rmprmsmet oassaek `akats. Ac ;1 62; û g67 ? 6f;, tbme wbgt as tbm vgdum jc g + f:

Xmhtaje H

Wumstajes 67, 66, 68, 60 ge` 6= hgrry 3, ;, 2, 1 ge` 7> ogris rmspmhtavmdy. 67.

G`mdg, Faeg, Hbmz ge` @je @je mghb fjukbt sjom hurry puccs cjr frmgicgst.  

G`mdg fjukbt = taoms gs ogey hurry puccs gs @je. 6   G`mdg, Faeg ge` @je fjukbt  jc tbm tjtgd euofmr jc hurry puccs fjukbt fy tbm 8 cjur jc tbmo.   Faeg ge` Hbmz fjukbt mqugd euofmr jc hurry puccs.

Hjopdmtm ae tbm hbgrt fmdjw fy `rgwaek tbm fgrs cjr fjtb Faeg ge` Hbmz ghhjr`aek tj tbm kavme aecjrogtaje.

G`mdg Faeg Hbmz @je 8

66.

3

1

76

7=

72

67

60

Euofmr jc hurry puccs

Moady wgets tj `rgw rmhtgekdms rmhtgekdms wbjsm sa`ms grm wbjdm euofmr jc ueats. ueats. Bjw ogey `accmrmet rmhtgekdms hge sbm `rgw suhb tbgt tbm pmraomtmr jc mghb jc tbmo as 772 ho:

;

 

AEPMVEGPAJEGD XAEKG^JVM OGPBX HJO^MPAPAJE

68.

;

8

2

0

Pbmrm wgs wgs g tjtgd jc 70=> sbmmp, sbmmp, kjgts ge` bjrsms ae ae g cgro. [bme  jc tbm sbmmp,  jc 8

tbm kjgts ge`  jc tbm bjrsms wmrm sjd`, tbmrm wgs ge mqugd euofmr jc mghb jc tbmsm = tbrmm geaogds dmct ae tbm cgro. Bjw ogey jc mghb jc tbmsm geaogds wmrm tbmrm ae tbm cgro gt carst:

60.

Lgoms gsim` gsim` bas crame`s tj kumss tbm cjur `accmrmet `akats jc bas smhrmt 0-`akat hj`m euofmr. Imeemtb kumssm` 7=80, Dmjegr` kumssm` 0>=2 ge` Oaim kumssm` 1;2>. Lgoms tjd` bas crame`s tbgt tbmy mghb bg` kumssm` twj `akats hjrrmhtdy ge` tbgt tbm twj hjrrmht `akats wmrm ejt emxt tj mghb jtbmr. [bgt grm tbm 0 `akats ogiaek up Lgoms‑ smhrmt hj`m euofmr:

6=.

Or Gek Gek bg` $78= ge` Or Fji bg` $13. Or Fji spmet twahm gs ouhb gs Or Gek. Gek. Ac Or Gek bg` twahm gs ouhb ojemy dmct gs Or Fji gctmr tbgt, bjw ouhb `a` Or Gek spme`:

Me` jc ^gpmr 2