Singapore Math Gr 3 Textbook 3B

PROMARV MNTHEMATOGS 3B

Primary Mathematics Proiect Team Project Direcior Dr Kho Tek Hong Team Members Chee Kum Hoong, Heclor Chip Wd Lung Liang Hin Hoon Lim Eng Tann Lim Hui Cheng, Rosalind Ng Hwee Wan Ng Siew Lee

Curriculum Specialists Cheong Ngan Peng, Christina Ho Juan Beng

::ll

Curriculum Planning & Development Division Ministry of Education, Singapore

ffirr"EP,5SA,t An inorint of fines Media

of Singapore Curriculum Development 'nslitule Curriculum Planning & Development Dlvision Ministry ol Education, Singapore

@ 1982, 1993 @ 1997,1999

Pub ished by

Times lvledia Privale Limit€d

Anember of the Times Publishing Grcup Times Cenire 1 New lndust al Road Singapore 536196 E-mail: lps @ tpl.corn.sg On ne Book Slore: hltp://www.timesone.com.sg/fpl First publlshed Second Edilion Th rd Ed Repr

tion nted

1982 1993 1999 2000, 2001 (lwice)

Al

rig his reserved. No parl ot th s publication may be reproduced, slored n a retrieva sysiem, ortransmilted, in any form or by any means, eeclronic, rnechan cal, p"oLocopy 19. re.o'dirq or orl_prw sF. wrtl oullhF prio' perm sson of the p!blishers.

tsBN 981 01 8050 0 Prinled in Singapore by C.O.S. Pinterc Pte Ltd

llluslrator Pau Yong

ACKNOWLEDGEMENTS The project ieam would like lo record their thanks to the loLlowing:

. . .

members of the Primary l\,4alhematics Tearn who developed the iirst edilion and second edition of the package members oi the Steering Committee for the second ediuon of the package

teachers who tested the materials in the package and provided useiul jnsights and suggestions

. .

Educational Techno ogy Division, components ol the package

lor the design and production of the audio-visual

all those who have helped in one way or anoiher in the development and production of the

package

PREFACE The Primory Mothemdtics Pockoge comprises textbooks, workbooks, teocher's guides ond oudio-visuol moteriols.

The moin feoture of the pockoge is the use of the Concrete Pictoriol + Abstrqct opprooch. The pupils ore provided with the necessory leorning experiences beginning with the concrete ond pictoriol stoges, followed by the obstroct stoge to endble them to leorn mothematics meoningfully. Like the previous editions of the pockoge, this edition encouroges octive thinking processes, communicotion of mathemoticol ideos ond problem solvinq. This textbook is cccomponied by two workbooks ond o teocher's guide. lt comprises 9 units. Eoch unit is divided into ports: @, @, . . . Eoch port storts with o meoningful situotion for communicotion ond is followed by specific leorning tosks numbered 1,2, . . . fhe srg n

is used to link the textbook to the workbook

exerctSes.

Proctice exercises ore designed to provide the pupils with further proctice ofter they hove done the relevont workbook exercises. Review exercises ond revision exercises ore provided for cumulotive reviews of concepts ond skills. All the proctice exercises. review exercises cnd revision exercises orp nnlionnl eyer.iurL. PuLr\EL 2k940Og

1kq9509

totol weight of o footboll ond 10 tennis bolls is 1 kg. lf the weight of eoch tennis boll is 60 9, find the weight of

9. The

the footboll.

6og

Weight of 10 tennis bolls = 60 x 10 = 600

I

Weight of the

footboll -

1 kg

=lg

10.

-6009

The totol weight of o tin of cooking oil ond 2 pockets of sugor is 5 kg 50 g. If the weight of eoch pocket of sugor is 2 kg, find the weight ot the tin ot cooking oil.

wergnr oT z pocKers oT sugor = Weight ot the tin of cooking oil =

T T kglg Kg

f;il;;;; 32

\

PRACTICE 38

1. Write in

(o) (d) 2.

3.

9roms. s ks 2 ke 80s e

(b) 1k99509

2k959

Write in kilogroms ond groms. (o) 1s0s (b) 10ss s (e) 3sss s (d) 33e0

s s

(.)

1kg60g

(f)

3k929

(c)

2208 I

(f) 5002

I

Add or subtroct in compound units.

(o)

G)

2ks9409+300s

aks-1ks480s

(b) 3k98809+1kg22os (d) skg20s-2ks45o9

AB (o) Find the totol weight of the two porcels. (b) Find the difference in weight between the two porcels.

5.

The totol weight of Ali ond Somy is 100 kg. lf Ali's weight is 46 kg 540 g, find Somy's weight.

6.

Roju's weight is 70 kg. He is 5 times os heovy os his son. Find the totol weight of Roju ond his son.

t.

Dovid weighs 39 kg. Hosson is twice os heovy os Dovid. Mingli weighs 27 kg less thcn Hosson. Whot is Mingli's weight? 33

REVIEW A Find the volue of eoch of the following:

(o)

1. 499 + 2. 750

3. 4.

53 87

(b)

42 145 7 5

(c)

507 + 3593 1806 82 156

5

104

8

3084 +63 7009 -5 407

324

x4

+6

5.

There ore 24 boxes of chocolotes in o corton. How mony boxes of chocolotes ore there in 8 cortons?

6.

5 people shored $450 equclly. How much money did eoch person receive?

l.

Mrs Lin gove eoch of her friends 7 cup cokes. She gove owoy 140 cup cokes oltogether. How mony friends did she give the cup cokes to? 8 boxes of yellow ond green buttons. There ore 46 buttons in eoch box. lf there ore 200 yellow buttons, how mony green buttons

8. There ore

ore there? 9. There were

l50 bulbs in o

box.

6 of them were broken. The rest were pocked into boxes of 4 bulbs eoch. How mony boxes of bulbs were there? 10.

Mr Wong bought three There were 36 oronges There were 54 oronges How mony oronges did

boxes of oronges. in the first box. in eoch of the other he buy?

two

boxes.

REVIEW B Find the missing numbers.

1.

2.

(o)

5m-lcm

(b)

(c)

2km560m=lm

(d)

(e)

1k930g=lg

(f)

(o)

-lm lcm 32Ocm -!m lcm 1850m=lkmlm 2OO4m-lkmlm

(b) (d)

4m8cm-I.. 3km5rn=lm 2 kg B0 g=lg

208cm

3095 (f) 4209

9 9

=lks ls =lks ls

Add or subtroct in compound units.

3. (o) 1m58cm+7Ocm (c) 3m-2m35cm a.

(o) 5 (c) 9

km690m+520m (b) 7 km 960m+2km24Om km42Om-780m (d) 8 km 30m-3km4B0m

s.(c) 4kg92Og+1259 (c) 6kg-4kg82Og

6

(b) 2m 95cm+2m45cm (d) 4m 5Cm-lm65Cm

(b) (d)

3k97609+4kg35Og

4k9259-2k923O9

(o) The totol weight of the fruiLs is | 9. (b) If the opple weighs 90 9, find the totol weight of the two peors. (c) lf the peors ore of the some weight, find the weight of eoch peor.

35

Copccity Litres qnd Millilitres How much woter is there in eoch of these beokers?

Whot is the totol omount of wcter in ecch set of beokers? (o)

WffiffiW

36

WW. W,W

WW1fl

1f=10O0ml 1.

Cet some poper cups. Find out how mony poper cups you con fill with 1 litre of woter.

WW 2.

Cet o poil. Find out how much woter the poil con hold.

3.

The bottle holds 2 litres of worer. Its copocity is I litres. 37

F,n".-;;; \

The cqpocity of o contqiner is the omount it con hold.

4.

We meqsure copocity in litres qnd millilitres.

(o)

-

The copocity of the mug is

I

ml.

(b)

The copocity of the bottle is

I

ml.

(c)

'OeSg(

D

The copocity of the jug is 38

I fI

ml.

E

(o) (b)

Cet o bottle which holds less thon 1 litre of woter. Estimqte ond then meosure its copocity. Cet o bottle which holds more thon 1 litre of woter. Estimote ond then meosure its copocity.

[*"*ffi**;"i;-

6.

Find the

totol omount of woter in these two beokers.

5mm

700m| +400m|

-lml

=lzlml 7.

Write '1500 ml in litres ond millilitres.

1500mt

=lrlml

8. Write in litres ond millilitres.

(o) (d)

1200 100s

ml ml

(b) 2s00 (e) 3a00

9. (o) Write 2 f in millilitres. 2 ( -lml (b)

ml ml

( 35O ml in millilitres. 2(3sOml -lml

Write 2

39

(c) 2050 ml (f) 3105 ml

10.

Write in millilitres. (o) 1 { 800 ml

(d)

3

425ml

(b) 148Oml

245ml

(c)

(f)

1a 8ml 3( 500 ml

11.

Eoch pocket contoins 250 ml of milk.

The totol omount of milk in 5 pockets is

I fI

ml.

12.

WWWW How mcny millilitres more woter ore needed to moke up 2litres? 13.

Which contoiner con hold more woter? How much more?

@b".r*d;;at\ 40

14.

(o)

Find the

1l800ml

3{350m|

A

tt

totol copocity of the two contoiners.

=lrl The totol ccpocity is I f I ml. 1{8OOml +3{350rnt

(b)

Find the difference in copocity between the two

contoiners.

o

=lrlml

3{350ml -1(

8OOmt

The difference in

copccityislflml. [;;il;.*"*,,.-\ 41

PRACTICE 4A

1. Write in millilitres.

(a) 3 t (d) 2 e 6so mt

1

3.

(b)

1( 200 ml

(e)

34 65 ml

Write in litres ond millilitres. (o) 5000 ml (b) 1600 ml (d) 320s ml (e) 2074 ml

@) 2e 55 mi (f) 4r 5ml

(c)

(f)

2250 ml

'1009 ml

Circle the correct cnswer.

(o) 1 { is more thon,/equol to,/less thon 980 ml. (b) 2 f 50 ml is more thon/equol to,/less thon 2O5O ml. (c) 4 I 8 ml is more thon/equal to./less thqn 4800 ml. 4. Add or subtroct.

(a) 1 t

s00 ml + s00 ml 3 c 300 ml + 750 ml

(b) 248OOml (d) 5/900ml

+1{200m| +3(24Oml

(c) (e) 24 800m| -1{780m| (f) 4(-1(85Oml G) at BOml -11360m| (h) 6{5mi -2(80ml

5.

The toble shows the copocities of four contoiners.

(o, Which contoiner hos the greotest copocity? /h) Which contoiner hos the smollest copocity? (c\ Whot is the totol copocity of the four contoiners? 42

PRACTICE 48

1.

The cooccitv of Contoiner A is 2 4 650 ml. The cooocitv of Contoiner B is 5 { 300 ml. (o) Whot is the totol copocity of the two contoiners? (b) How much more woter con Contoiner B hold thon Contoiner A?

2.

Contoiner X holds 2 (, 8OO ml of woter. Contoiner Y holds 1 { 600 ml more woter thon Contoiner X. How much woter does Contoiner Y hold?

3.

Mrs Chen fills o contoiner with 9 bottles of oronge juice. Eoch bottle conloins 2 litres of orcnge juice. Whot is the copocity of the contoiner?

4.

The copocity of o poil is 6 litres. 5 poils of woter ore needed Lo fill up o tcnk. Whot is the copocity of the tonk?

5.

The copocity of o contoiner is 24 litres. How mony poils of woter ore needed to fill up the contoiner if the copocity of the poil is 3 Iitres?

6.

The copocity of o contoiner is 8 litres. It contoins 4 4 650 ml of wcter. How much more woter is needed to fill up the contqiner?

7.

Mr Li bought 6 tins of pcint. Eoch tin contoined 3 litres of point. He hod 2 4 4OO ml of pcint left after pointing his house. How much point did he

use?

REVIEW C Find the volue of eoch of the following:

(o)

1. 895 2. 1436 3. 77 4. 900 5.

(b)

so37 437 4 2

6409 + 399

3002

2846 + 754 5362 -26 123 x5

518-8

Mr Chen received $504 for selling pens ot $8 eoch. How mony pens did he

6.

-78

t3 x9 408 +3

(c)

sell?

Mr Wu poid $628 for o television set ond 91485 for o computer. He hod $5'15 left. How much money did he hove ot first?

7.

Mrs Chen bought 4 boxes of cookies. There were 12 chocolote cookies ond 8 peonut cookies in eoch box. How mony cookies were there oltogether?

8.

Mr Li sold 337 pockets of biscuits lost month. He sold 299 more pockets this month thon lost monfn. How mony pockets of biscuits did he sell in the two months?

9.

Solly bought 200 eggs to moke cokes. She used 8 eggs to mcke eoch coke. (o) How mony cokes did she moke? (b) lf she sold oll the cokes ot $10 ecch, how much money would she receive?

Grophs

O

Bor Grophs ;@"2 (4

Kt*-fl4j a

This picture groph shows the number of fish cought by

four boys. .. .

ffi "i.

ton

Somy

How mony fish did eoch boy cotch?

Yonghuo

This bor groph shows the some informotion.

12

10

8 Number

offish

6

4 2

0

Minghuo

I

Minghuo cought

fish.

Yonghuo cought

I

They cought

I

Somy

fish.

I Somy cought I Rohcn cought

KOnO n

fish.

fish.

fish oltogettrer.

I more fish thon Somy. Minghuc cought I fewer fish thcn Rohon. I cought the most fish. I cought the fewest fish. Minghuo cought

46

Yong

h

uo

1. This bor groph shows su

Rohim's exominotion results for four

biects. 100

90 80 70

60

Morks

50 40

30 20 10

English

Use the groph

MothemoticsScience

Moloy

to complete the following.

(o) Rohim scored I morks in English. (b) He scored I morks in Mothemotics. (c) He scored ! more morks in Mcthemotics thcn in Englilh.

(d) He hod the some score in

I

He scored 10 more morks in

l. His lowest score wos in !.

(f) His highest score wos in (s)

47

ond

I

l.

thcn in Mothemotics.

2.

This bor groph shows Sulicn's sovings for four months.

Moy

June

Julv

Aug ust

010203040506070 Amount in dollors

Use the groph

to onswer the following questions.

(o)

How much did Sulion scve in Moy?

(b)

How much more did she sove in June thon in Moy?

(c)

In which month did she sove $15?

(d)

In which month did she sove the most?

(e)

In which month did she sove twice os much os in August?

(f)

Whot wos her totol scvings for the four months?

4A

3.

This bor groph shows the number of books reod by five children in o yeor.

80 70

Number 60 of books 50

40 30 20 10

0

Use the groph

Dovid

Mory

Meiling

Hosson

to qnswer the following questions.

(o)

How mony books did Siti reod?

(b)

How mony books did Dovid reod?

(c)

How mony more books did Dovid reod thon Meiling?

(d) Who

reod 5 fewer books thon Meiling?

(e) Who

reod the most books?

(f)

Who reod the fewest books? 49

4. This bor

roph shows the number of people who visited o book foir from Mondoy to Fridoy. g

500 450 400 350 300 Number of visitors 250

200 150 100

50 0

Use the groph

(o) (b)

Mon

Tue

Wed

Thu

Fri

to onswer the following questions.

How mony people visited the book foir on Tuesdoy? How mony more people visited the book foir on Friday thon on Thursdoy?

(c) (d)

On which doy wos the number of visitors the smollest?

(e)

On which doy were there twice os mony visitors os on

On which doy were there os mony visitors os on Mondoy? Wednesdoy?

(f)

lf there were 200 odults on Tuesdoy, how mony children were there?

50

Frqctions

O

Froction of o Whole

2 fifths

o whole

How monv fifths ore there in o whole?

3 eighths

o whole

How mony eighths ore there in o whole? 51

1.

(c)

J of the bor is shoded. 3 'r

I

out of the

I

equol porrs.

? = a fifths

(b)

; .f the bor is not shoded.

I is I 3 =|

out ofthe

I

equol ports.

tifths

(c) lwhole=Ififrhs

t=l

5

2.

,.3 (oj

8

I

or tne Dor ts shoded.

of the bor is not shoded.

(b) lwhole-leighths

t=I

8

(c)

Jondlmokelwhole. 52

3.

Whot froction of eoch shope is shoded? (b)

(o)

(h)

tr,';;""".,*.*\ 53

4.

3