Singapore math gr 3 textbook 3a

PRIII'IARY
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PROMARV
NATHCMNTOGB 8A

Primary Mathematics Proiect Team
Proiect Dlrector
Dr Kho Tek Hong

Team Members
Chee Kum Hoong, Hector
Chip Wd Lung
Liang Hin Hoon
Lim Eng Tann
Lim Hui Cheng, Rosalind
Ng Hwee Wan
Ng siew Loe

Curriculum SPeclalisis
Cheong Ngan Peng, Chrlstina

Ho Juan Beng
Sin Kwai lvleng

$/o r; m*lw I'Lullc

IIEI

& DsEv

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LopPM E Nr D rvr s I o N

ilil'utflJl'uu"noon


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

The moin feoture of the pockoge is the use of the Concrete r
Pictoriol r Abstroct opprooch. The pupils ore provided with the
necessory lecrning experiences beginning with the concrete ond
pictoriol stoges, followed by the obstroct stoge to enoble them to
leorn mothemotics meoningfully. Like the previous editions of
the pockoge, this edition encouroges octive thinking processes,
communicotion of mothemoticol ideos ond oroblem solvino.
This textbook is occomponied by two workbooks ond o teocher's
guide. lt comprises 5 units. Eoch unit is divided into ports:
Q, @,

. . . Eoch port storts with o meoningful situotion for communicotion
ond is followed by specific leorning tosks numbered 1,2,... The
srg n

is used to link Lhe textbook Lo 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 orovided for cumulotive
reviews of concepts ond skills. All the proctice exercises, review
exercises ond revision exercises ore optionol exercises.

The colour potch I is used to invite active porticipotion from the
pupils ond to focilitote orol discussion. The pupils ore odvised not
to write on the colour Dotches.


-

Numbers to 10 000
Thousonds, Hundreds, Tens ond Ones
PRACTICE 14

6
12

Number Potterns

t5
14

PRACTICE 1C

17

PRACTICE 1B

Addition ond Subtroction

2
3

Sum ond Difference
PRACTICE 2A
PRACTICE 2B
Adding Ones, Jbns, Hundreds ond lnousonos
Subtrocting Ones, Tens, H undreds ond Thousonds
PRACTICE 2C
PRACTICE 2D
Two-step Word Problems
PRACTICE 2E

18

22
23

24

2A

34
35
36
38

Multiplicdtion and Divison
Looking Bock
PRACTICE

34

More Word Problems
PRACTICE 38
PRACTICE 3C
Multiplying Ones, Tens ond Hundreds
PRACTICE 3D
PRACTICE 3E
PRACTICE 3F

4
5

Quotient ond Remoinder
Dividing Hundreds, Tens ond Ones

e,

.J7,9tn "

W

at(h

-4+

39
43

44
47
48
49
)z+

55
56
57
61


PRACTICE 3C
PRACTICE 3H
REVIEW

A

65
oo

67

Multiplicotion Tobles of 6, 7, 8 ond 9

'I
2

Looking Bock
Multiplying ond Dividing by 6
PRACTICE

44

68
70
75
76

Multiplying ond Dividing by 7
PRACTICE 48

80

PRACTICE 4C

81

Multiplying ond Dividing by 8
PRACTICE 4D

a2
84
85
86
89
90

PRACTICE 4E

Multiplying ond Dividing by 9
PRACTICE 4F
PRACTICE 4C

Money

2
5

Dollors ond Cents
PRACTICE 5A
Addition
Subtroction
PRACTICE 58

102

PRACTICE 5C

103

REVIEW B

91

93

94
98

1o4


Numbers to 1O 000

@

thousonds, Hundreds, Tens qnd Ones
aaoaaaaaaa
10 ones

rEEEE

:::tl

t

T
ten

+

I
hundred

10 tens

TFEEE
EEEEE
'10

(o)

*

hundreds

l

thousond

Sumin collected some morbles.

E8

E3

hundreds

EE

4 tens

$.ttrl
3oo+40+9=l

aara

aaa

9 ones

o""@
IE',


(b)

His sister olso collected some morbles.

8E FE
2 thouscnds

4 hundreds

E

88

ca

aoo

3 tens

5 ones

2000+400+30+5=l
How mony morbles did she collect?

Two thousond, four hundred ond thirty-five

Reod the numbers 5998 ond 6012.

(d) LOUnt TrOm 5yy6 to bu

tl5999, 6000, ...6012.

(e)

Count from 9987 to 10 000.
7


1.

Count the thousonds, hundreds, tens ond ones in this chort.

@@@ @@

3ooo+200

@@@
@@@
@

ooo
o

+70+4=l
three thousond, two hundred
ond seventY-four

2.

Whot numbers ore shown below?
Reod eoch number.

@@
@@

@@
@

@@@

ooo
oo
ooo
ooo
o

@@
@@

@@

@@@
@@

."; ->


3.

6824 is o 4-digit number.
The digit 2 stcnds for 20.
The digit 6 stonds for 6000.
Whot does the digit 8 stond for?
Whot does the digit 4 stond for?

4.

Whot does the diqit 5 stond for in eoch of the following
numbers?
(o) 3s21

(b)

s213

(c)

12s3

ln 3468, the digit 8 is in the ones ploce.
Its volue is 8.
The digit 6 is in the tens Ploce.
Its volue is 60.

I

The digit
Its volue is

I

The digit
Its volue is

is in the hundreds ploce.

!.
is in the thouscnds ploce.

I.

6. Whot is the volue of eoch digit in 8137?
q

1_-*.*..k'"*, \

7.

Which is greoter, 316 or 264?

&&

&

@

5 ro t5 greoler

wnlcn

rs

&&&

e&&

&
&

@@@
@@@

&e
&&

tnon zb4.

smo er, Sl5 0( 352!

&&

&

@

&&e

@e&

&&

@@@

&

&@@&

325 is smoller thon 352.

(c) which
(b)

8.

greoter,4316 or 4264?
Which greoter, 4316 or 5264?
Which IS smo||er, z3z5 or 2352?
Which is smoller,3325 or 23521
ts

Write the word
(o) 7031 is
(b) 8004 is
3756 is

I
I
I

3.

greqter or smoller in ploce of eoch
thon 7301.
thon 8040.
thon 3576.

5073, 4942, 4973
Which is the greotest number?
Which is the smoilest number?

l.


10.

999 is the greqtest
3-digit number.

100 is the smollest
3-digit number.

Whot is the smollest 4-digit nu m ber?
Whot is the greqtest 4-digit number?

11. Arronge the numbers in order:

3412, 3142, 4123, 2431
Begin with the greotest.
12.

Arronge the numbers in order:

'1892, 9003, 913, 1703
Begin with the smollest.
13.

Use oll the digits 0, 4 ond 5 to
moke different 3-digit numbers.
Which is the greotest number?
Which is the smollest number?

M. (o) Whot is the greotest 4-digit number thot you con moke
(b)

using oll the digits O,7,2 ond B?.
Whot is the smqllest 4-digit number thot you con moke
using oll the digits 3,7, 4 ond 9t

t
1l

w"-"""**,",*

\


PRACTICE 1A

1.

Write the numbers.
(o) Two thousond, one hundred ond sixty-three
(b) Eight thousond ond eight
(c) Three thousond ond six hundred
(d) One thousond, three hundred ond seventy-six
(e) Four thousond ond five

2.

Write the numbers in words.

@)

13a7

(b) ss00

(c)

70s8

3.

Write the numbers in thousonds, hundreds, tens ono ones.
(o)
(b)
(c) Tooa

4.

Whot number is shown in eoch of the following?

63s2

4091

@

w@@w@@ww
(b) www@@
@ ww@@@ww
5.

Find

the missing numbers.

(o)
(b)

1000+700+30+6=I
7000+500+4=l

3000 +
(d) 6000 +
(cJ

(")

= 3090

l+2=6802

4243=4000+200+40+I

(f) 4907 -

6.

I

l=

4OOt

Write the underlined words in fiqures.
(o) The height of Mount Fuji in Jopon is three thousond
seven hundred ond seventv-six metres.

(b) Mr Wong

bought o computer for two thousond ond
sixtv dollors.


PRACTICE 18

1.

Write the word
(o) 7865 is I
(b) 4104 is I
(c) 3590 is I
(d) 9989 is I
(e) 7080 is I
(f) 2000 is I

greoter or smoller in ploce of eoch
thon 8567
thon 4049
thon 3509
thon 9998
thon 7100
thon 10 000

l.

2.
is the greotest number in eoch of the following?
' Which
(o) 7171, 7711, 7117
(b) 8218, 8812,

3.

8128

Which is the smollest number in ecch of the followinq?

l'n) 99O9 g0gg

CC90

(b) 8s44, 84s4, 844s

4.

Arronge these numbers in order, beginning with the
greotest.

5.

Arronge these numbers in order, beginning with the
smallest.

@EEril@
13


O

Number Potterns

6442

6342
Which is more? How mony more?

6542

6442
Which is more? How mony more?

Whot number is 100 more thon 6442?

Whot number

is

100 more thon 6542?

Complete the number pottern.

(o)

(b)
(c)
(d)

6342, 6442, 6s42,
6342, 7342, 8342,
6342, 6343, 6344,
6342, 63s2, 6362,
14

a,
a,

l,
l,

I
I
I
I


1. (o) Whot number is 100 more rhon 3624?
@@@ @@@
@@@

:ez+ __1J95

/\1-\

I10 ll

10

I

@oo
@

a

(b) Whot number t5 1 more thon 3624?
(.) Whot number is 10 more thon 3624?
(d) Whot number is 1000 more thon 3624?
')

(o) Whot

number is 1000 less thon 5732?

@@@ cawq9
@@@
/'-\ / \ /--\
(9q9(9
@
,.6")

szaz --J999-

1

(b) Whot number IS 1 less thon 5732?
(c) Whot numDer rs '10 less thcn 5732?
(d) Whot numDer is 100 less thon 5732?
15

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3. (o) Count in steps of 10 from 1678 to 1728.
1678, 1688, 1698, ..., 1728.

(b)

Count in steps of 100 from 1678 to 2178.

1678, 1778, 1878, ..., 2178.

(c)

Count in steps of 1O0O from 1678 to 8678.

1678, 2678, 3678, ..., 8678.

4.

Complete the following number potterns.

c)@@@@@

(b)@@@@@
G)@@@@@
(d)@@@@@
G)@@@@@
(D@@@@@


PRACTICE

1.
2.

lC

Whot is the volue of the digit 8 in eoch of the following?

(o)

78e2

(b)

3468 (c) 800s

(d)

7081

Whot does eoch digit in 5629 stond for?

3. (o) In 6243, the digit ! is in the tens plcce.
Its volue is l.
(b) In 5029, the digit I is in the hundreds ptoce.
Its volue is l.
4. Write the next three numbers for eoch of the followinq
number Dotterns.

(o) 2007, 2008,
(b) s612, s622,
(c) 1800, 1900,
(d) 40s6, sos6,

5.

2009,
s632,
2000,
60s6,

l, I' I

l, l, I
l, I, I
L l, I

Complete the following number potterns.

(o) 997, 998, 999, I
(b) 2oos, l, zoto, zofi
(c) s760, s77o, a, s79o

(d) 4800, 4soo, l, sloo
(e) 3040, l, so+0, eo+o

6.

Complete the following number potterns.

(o) l, 54oo, s4o1, 5402
(b) 3420, l, zazo, ztzo
(c) 43s0, 33s0, L 13so
(d) 8160, 7150, 6160, I
(e) 5722, 5712, 5702, a


Addition ond Subtroction
Sum qnd Difference

t??
?te
(oJ wnor

rs

ryww

rne sum ot + ono / !

++7

=l

The sum of 4 ond 7 is

I.

(b) Whot is the difference between 4 ond

7?

To find the difference, we
subtroct the smoller number
from the bigger number.

l-+=l

The difference between 4 ond 7 is
'18

l.


1.

t:,:.

(o)

8+5=l
The sum of 8 ond 5 is

(b)

I.

g-s=l
The difference between 8 ond 5 is

!.

9o

2.

.1+-YJ

-|,

54?

(o) The sum of 90 ond 54 is

I.

(b) The difference between 90 ond s4 is

l.

3. (o) The sum of 12 ond 9 is !.
(b) rhe

sum of two numbers is 21.

lf one number is 9, the other number is l.
The difference between 21 ond 9 is

l.

(d) The difference between 21 ond 12 is

l.
fGil;;;;;s \

19


4.

Mory mode 686 biscuits. She sold some of them' lf 298
were left over, how mony biscuits did she sell?
646--

number mode

294

?

number left

number sold

To find the shoded port,

we subtroct the other pqrt
from the whole.

686-298=l
She sold

5.

I

biscuits.

A mon sold 230 bolloons ot o funfoir in the mornlng.
He sold onother 86 bolloons in the evening.
How mony bolloons did he sell in oll?

230+86=l
He sold

I

bolloons in oll.
20


6.

134 g|rls ond 119 boys took port in on ort competition.
How mony more girls thon boys were there?

134-119=l

119

There were
7.

I

more girls thon boys.

Meilin soved $184.
She soved $63 more thon Betty.
How much did Betty sove?

184-63=l

$184

$63

Betty soved

$1.

f;il;;;;
8.

John reod 32 poges in
He reod 14 poges less
(o) How many poges
(b) How mony poges

\

the morning.
in the ofternoon.
did he reod in the qfternoon?
did he reod oltogether?
32

(o) 32 - 14=18

He reod 18 poges in the ofternoon.

(b) 32+18=50

t:-l

\-z-^_rJ

He reod 50 poges oltogether.

21

!14

),


PRACTICE 2A
Find the volue of eoch of the following:

1.

2.
J.
4.

(o)

(b)

(c)

509 + 365
746 + 254
715 - 235
514 - 266

124 + 2ao
262
138
236
800
600
162

384 + 418
432 368

I

308 : t).1
504 2tA

5.

Leelc hos 254 rubber bcnds.
Her friend gives her 58 more.
How mony rubber bonds hos she now?

(f-

A mon bought 650 curry puffs for o porty.
There were 39 curry puffs left ofter the porty.
How mony curry puffs were ecten during the porty?

l.

The sum of two numbers is 175.
lf one number is 49, whot is the other number?

49

8.

?

The difference between two numbers is 68.
lf the smoller number is 153, whot is the bigger number?
)

68

153

9.

The difference between two numbers is 48.
lf the bigger number is 126, whot is the smcller number?
22


PRACTICE 28
Find the volue

of ecch of the following:

(c)

(b)

(c)

313

305 + 179

184
316

310 + 184
310
187

371

627

265 + 161
668 + 475
600 - 382
374 - 361

1.
23.
4.

730 +
724 +
746 470 -

5.

Mr Wong poid $850 for o television set.
He still hod $450 left.

How much money hod he ot first?

o.

429 concert tickets were sold on Sundoy.
64 more concert tickets were sold on Sundcy thon on

-

298

Soturdoy.

How mony tickets were sold on Soturdcry?
7.

This toble shows the number of
biscuits mode by three mochines
in one hou r.
(o) Whot is the totol number of
biscuits mode by Mochine A
ond Mochine B?
(b) Whot is the totol number of biscuits mode by the three
mochines?

8.

Rovi hod 35 tickets to sell.
He sold 15 tickets yesterdoy ond 9 tickets todoy.
(o) How mony tickets did he sell on the two doys?

(b) How mony tickets were not sold?

9.

Dqvid collected 830 scAo seeds.
Peter collected 177 fewer sogo seeds thon Dovid.
(o) How mony sogo seeds did Peter collect?
(b) How mony sogo seeds did they collect oltogether?


O

Adding Ones, Tens, Hundreds ond
Thousqnds
Find the sum of 2803 ond 1443.

2803
+ 1443 @

I

e9

i@@@

i
@

@@_.r

i@&j@ @&@

-@

@@

@&

ooo

,,r1,.-\-,,-\,,

r(9(9C91

@@

e&&

@

ooo

@&& &@e
@

As there ore more thon 10 hundreds,
we chcnge 10 hundreds for 1 thousond.

---..--_--/

1.

of

Find the vslue

(o)

4263 + s

(c) 4263+400
(e) 4263 + 42s
2048 +

(b) 4263 +20
(d) 4263 + 3000
(f) 4263 + 3425

2=a

20 48

+2

@@
@@

@@

I

3.

4.

5840

I

60

@@@ @@(:t i@@@
@@ @@
@@
@@
lwww
'@@@

3700+300=l
37 00

+ 300

I

iOC'OI

too
.@@_)

i

5840 + 60 =

+

roCet

@
@
@

r@@@
l@@@l

i@i

i_@@@)