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PRIII'IARYnnATFfEnnATrES 3A
0/ cr**,aururrr Purlrnc e DevEropMENT Drvrsror'r
Q[6 Mtusrnv oF EDUcArtoN, Strucepone
I
PROMARVNATHCMNTOGB 8A
Primary Mathematics Proiect Team
Proiect DlrectorDr Kho Tek Hong
Team MembersChee Kum Hoong, Hector
Chip Wd LungLiang Hin HoonLim Eng TannLim Hui Cheng, Rosalind
Ng Hwee WanNg siew Loe
Curriculum SPeclalisisCheong Ngan Peng, Chrlstina
Ho Juan BengSin Kwai lvleng
$/o r; m*lw I'Lullc & DsEv E LopPM E Nr D rvr s I o N
IIEI 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 rPictoriol r Abstroct opprooch. The pupils ore provided with thenecessory lecrning experiences beginning with the concrete ondpictoriol stoges, followed by the obstroct stoge to enoble them toleorn mothemotics meoningfully. Like the previous editions ofthe pockoge, this edition encouroges octive thinking processes,
communicotion of mothemoticol ideos ond oroblem solvino.
This textbook is occomponied by two workbooks ond o teocher'sguide. lt comprises 5 units. Eoch unit is divided into ports: Q, @,. . . Eoch port storts with o meoningful situotion for communicotionond is followed by specific leorning tosks numbered 1,2,... The
srg n is used to link Lhe textbook Lo the workbookexerctseS.
Proctice exercises ore designed to provide the pupils with furtherproctice ofter they hove done the relevont workbook exercises.Review exercises ond revision exercises ore orovided for cumulotivereviews of concepts ond skills. All the proctice exercises, reviewexercises ond revision exercises ore optionol exercises.
The colour potch I is used to invite active porticipotion from thepupils ond to focilitote orol discussion. The pupils ore odvised notto write on the colour Dotches.
-
Numbers to 10 000Thousonds, Hundreds,
PRACTICE 14PRACTICE 1B
Number PotternsPRACTICE 1C
Tens ond Ones
Addition ond SubtroctionSum ond DifferencePRACTICE 2APRACTICE 2B
Adding Ones, Jbns, Hundreds ond
Subtrocting Ones, Tens, H undreds
PRACTICE 2C
PRACTICE 2DTwo-step Word Problems
PRACTICE 2E
6
12
t5
14
17
2
3
Multiplicdtion and DivisonLooking Bock
PRACTICE 34More Word Problems
PRACTICE 38PRACTICE 3C
Multiplying Ones,
PRACTICE 3DPRACTICE 3E
PRACTICE 3F
45
Quotient ond Remoinder
Dividing Hundreds, Tens ond
Tens ond Hundreds
lnousonos
18
22
23242A
34353638
ond Thousonds
e,
.J7,9tn "
Wat(h-4+
394344474849)z+
5556
5761Ones
PRACTICE 3CPRACTICE 3H
REVIEW A
Multiplicotion Tobles of 6, 7, 8 ond 9'I Looking Bock
2 Multiplying ond Dividing by 6PRACTICE 44Multiplying ond Dividing by 7PRACTICE 48PRACTICE 4CMultiplying ond Dividing by 8PRACTICE 4DPRACTICE 4E
Multiplying ond Dividing by 9PRACTICE 4F
PRACTICE 4C
MoneyDollors ond Cents
PRACTICE 5AAdditionSubtroctionPRACTICE 58PRACTICE 5C
65oo
67
25
687075768081
a28485868990
91
939498
102103
1o4REVIEW B
Numbers to 1O 000
@ thousonds, Hundreds, Tens qnd Ones
aaoaaaaaaa
10 ones
rEEEE:::tl
10 tens
t+
T
ten
I
hundred
TFEEE*
EEEEE'10 hundreds l thousond
(o) Sumin collected some morbles.
E8E- EE3 hundreds 4 tens
aaraaaa
9 ones
$.ttrl3oo+40+9=l
o""@IE',
(b) His sister olso collected some morbles.
8E FE2 thouscnds 4 hundreds
2000+400+30+5=lHow mony morbles did she collect?
Reod the numbers 5998 ond 6012.
LOUnt TrOm 5yy6 to bu tl-
9987 to 10 000.
7
E883 tens
caaoo
5 ones
(d)
Two thousond, four hundred ond thirty-five
5999, 6000, ...6012.
(e) Count from
oooo
@@@@@@@
@@@ @@
1. Count the thousonds, hundreds, tens ond ones in this chort.
3ooo+200 +70+4=l
2. Whot numbers ore shown below?
three thousond, two hundred
ond seventY-four
Reod eoch number.
ooooo@@
@@@@
@ @@@ ooooooo
@@@@
@@ @@@@@
."; ->
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 doesnumbers?(o) 3s21
the diqit 5 stond for in eoch of the following
(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.
The digit I is in the hundreds ploce.
Its volue is !.The digit I is in the thouscnds ploce.
Its volue is I.Whot is the volue of eoch digit in 8137?
q6.
1_-*.*..k'"*, \
&& @ &&&& e&&
7. Which is greoter, 316 or 264?
5 ro t5 greoler tnon zb4.
wnlcn rs smo er, Sl5 0( 352!
325 is smoller thon 352.
(c) whichWhich
(b) WhichWhich
greoter,4316greoter, 4316smo||er, z3z5smoller,3325
or 4264?or 5264?or 2352?or 23521
ts
IS
is
8. Write the word greqter or smoller in ploce of eoch l.7031 is I thon 7301.
8004 is I thon 8040.3756 is I thon 3576.
(o)
(b)
3. 5073,Which is theWhich is the
4942, 4973greotest number?smoilest number?
& @@@ &e& @@@ &&
&& @ &&e& @e&&& @@@ &&@@&
100 is the smollest3-digit number.
10.
Whot is the smollest 4-digitWhot is the greqtest 4-digit
nu m ber?
number?
11.
12.
13.
Arronge the numbers in order:
3412, 3142, 4123, 2431
Begin with the greotest.
Arronge the numbers in order:
'1892, 9003, 913, 1703
Begin with the smollest.
Use oll the digits 0, 4 ond 5 tomoke 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 mokeusing oll the digits O,7,2 ond B?.
(b) Whot is the smqllest 4-digit number thot you con mokeusing oll the digits 3,7, 4 ond 9t
t w"-"""**,",* \1l
999 is the greqtest3-digit number.
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) 63s2 (b) 4091 (c) Tooa
4. Whot number is shown in eoch of the following?
@ w@@w@@ww(b) www@@@ ww@@@wwFind
(o)
(b)
(cJ
(d)
(")
(f)
5. the missing numbers.
1000+700+30+6=I7000+500+4=l
I = 3090
l+2=68024243=4000+200+40+I4907 - l= 4OOt
6. 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.
3000 +6000 +
PRACTICE 18
1. Write the word greoter or smoller in ploce
(o) 7865 is I thon 8567(b) 4104 is I thon 4049(c) 3590 is I thon 3509(d) 9989 is I thon 9998(e) 7080 is I thon 7100
(f) 2000 is I thon 10 000
of eoch l.
2. Which is the greotest number in eoch of the following?' (o) 7171, 7711, 7117(b) 8218, 8812, 8128
3. 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 thegreotest.
5. Arronge these numbers in order, beginning with thesmallest.
@EEril@13
O Number Potterns
6342Which is more? How mony more?
6442
6442 6542Which is more? How mony more?
Whot number is 100 more thon 6442?
Whot number is 100 more thon 6542?
Complete the number pottern.
(o) 6342, 6442, 6s42, a,(b) 6342, 7342, 8342, a,(c) 6342, 6343, 6344, l,(d) 6342, 63s2, 6362, l,
IIII
14
1. (o) Whot number is 100 more rhon 3624?
(b)(.)(d)
t5
is
is
') (o) Whot number is 1000 less thon 5732?
szaz --J999- 1
(b)(c)(d)
WhotWhotWhot
numbernumDernumDer
IS
rs
is
1 less thon 5732?'10 less thcn 5732?100 less thon 5732?
15
@@@ @@@@@@
/\1-\I10 ll 10 I @oo@
:ez+ __1J95 a
Whot numberWhot numberWhot number
1 more thon 3624?10 more thon 3624?1000 more thon 3624?
@@@@
cawq9/'-\ / \ /--\(9q9(9,.6")
@@@,-:-ua-, /.4...-),ure!
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 lC1. Whot is the volue of the digit 8 in eoch of the following?
(o) 78e2 (b) 3468 (c) 800s (d) 7081
2. 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, 2009, l, I' I(b) s612, s622, s632, l, l, I(c) 1800, 1900, 2000, l, I, I(d) 40s6, sos6, 60s6, L l, I
5. 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 ryww
(oJ wnor rs rne sum ot + ono / !
++7 =l
The sum of 4 ond 7 is
Whot is the difference
I.between 4 ond 7?
l-+=l
The difference between 4 ond 7 is l.
(b)
To find the difference, wesubtroct the smoller numberfrom the bigger number.
'18
1.
(o)
(b)
8+5=lThe sum of 8
g-s=lond 5 is I.
2.
The difference between 8 ond 5 is !.
9o
.1+-YJ
54?
The sum of 90 ond 54
The difference between
sum of 12 ond 9 is !.sum of two numbers is 21.
lf one number is 9, the other number is l.
The difference between 21 ond 9 is l.
The difference between 21 ond 12 is l.
-|,
(o)
(b)
is I.90 ond s4 is l.
3. (o) The
(b) rhe
(d)
t:,:.
19
fGil;;;;;s \
4. Mory mode 686 biscuits. She sold some of them' lf 298were left over, how mony biscuits did she sell?
- number mode646-
?
number sold
5.
686-298=l
She sold I biscuits.
A mon sold 230 bolloons ot o funfoir in theHe sold onother 86 bolloons in the evening.How mony bolloons did he sell in oll?
230+86=l
294
number left
mornlng.
To find the shoded port,we subtroct the other pqrtfrom the whole.
He sold I bolloons in oll.
20
6. 134 g|rls ond 119 boys took port in onHow mony more girls thon boys were
134-119=l
ort competition.there?
119
7.thon Betty.sove?
8. the morning.in the ofternoon.did he reod in the qfternoon?did he reod oltogether?
t:-l\-z-^_rJ!14
There were I more girls thon boys.
Meilin soved $184.She soved $63 moreHow much did Betty
184-63=l
Betty soved $1.
John reod 32 poges inHe reod 14 poges less(o) How many poges(b) How mony poges
(o) 32 - 14=18He reod 18 poges in the ofternoon.
(b) 32+18=50He reod 50 poges oltogether.
$63
f;il;;;; \
32
),
$184
21
PRACTICE 2AFind the volue of eoch of the
1.
2.J.4.
5.
(o)
509 + 365746 + 254715 - 235514 - 266
following:
2ao138236162
124262800600
384432308504
418368t).12tA
(c)
+
:
(b)
+
I
(f-
Leelc hos 254 rubber bcnds.Her friend gives her 58 more.How mony rubber bonds hos she now?
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?
8.
49
The difference betweenlf the smoller number is
?
two numbers is 68.153, whot is the bigger number?
)
153
The difference between two numbers is 48.lf the bigger number is 126, whot is the smcller number?
22
68
9.
PRACTICE 28Find the volue of
(c)
1. 730 + 3132- 724 + 1843. 746 - 3164. 470 - 371
ecch of the following:
(b)
305 +310 +310 -627 -
(c)
265 + 161668 + 475600 - 382374 - 361
179184187298
5. Mr Wong poid $850 for o television set.He still hod $450 left.How much money hod he ot first?
429 concert tickets were sold on Sundoy.64 more concert tickets were sold on Sundcy thon onSoturdoy.How mony tickets were sold on Soturdcry?
This toble shows the number ofbiscuits mode by three mochinesin one hou r.(o) Whot is the totol number of
biscuits mode by Mochine Aond Mochine B?
(b) Whot is the totol number ofmochines?
biscuits mode by the three
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?
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.
7.
8.
9.
O Adding Ones, Tens, Hundreds ondThousqndsFind the sum of 2803 ond 1443.
2803+ 1443
I
10 hundreds,for 1 thousond.
---..--_--/
ooo
e&&
@e9
@
,,r1,.-\-,,-\,,r(9(9C91i@@@i @@_.ri@&j@
-@@&@@
@@@& @@ @&&
@
ooo&@e
As there ore more thonwe chcnge 10 hundreds
1. Find the vslue of(o) 4263 + s(c) 4263+400(e) 4263 + 42s
2048 + 2=a
4263 +204263 + 30004263 + 3425
(b)(d)(f)
20 48+2I
3. 5840 + 60 =
5840+ 60
37 00+ 300
I
4. 3700+300=l
@@@@
roCetiOC'OItoo i
.@@_)
@@
i@@@
lwww'@@@
@@(:t@@@@@@
@@@@@
@@@
r@@@l@@@li@ii_@@@)
I
5. Find the volue of(o) 1028 + 234(c) 4190 + 649(e) 6204 + 993
6. Find the sum of 1266 ond 2355.
7. Find the volue of(o) 1326 + 194(c) s471 + 787(e) 7246 + 845
(b)(d)(f)
2409 +3260 +5402 +
124542822960
I w.il.'."'*;' \
1266+ 2355
(b)
(f)
5/OZ69424653
++
515810952729
@@
@@
@@@
@@(1t)@@'@@@@@@@
rooooooi@@@l
o_ jo@
@@
@@
@@@
(,*)..x
@
@@orr6i6i I
i66@6ol@@
26
8. Find the sum of 3589 ond 2443.
3589+ 2443
9.
I
Find the volue of(o) 4697 + 1316(c) 2908 + s892
3587 + 38132824 + 2576
[;"-.r*- -'
rh)(d)
OOOr666ooo,Or..:-Oo
@@@
@@
@@@@@
@@@@
@@@@@@
@
@@@@@@
@@@
@@
@@(:t@@x@@@@
@oo
@@otr@@@@@@i(D .,
@@@
@@Qei,@x@@
@@@oo
i@@o@@@l
@@@i. @ ,,)
27
Subtrocting Ones, Tens, Hundreds ondThousqndsFind the difference between 3246 ond 1634.
32 46- 1634
As there ore not enough hundredsto subtroct from, we chonge1 thousond for '10 hundreds.
@@@ @@ @@@@
OOOQOO
@@(;;)-1
6;6;ra @ oo
cooQttlllo
1. Find the vclue of@) 68a7 - 3(c) 6847 - s00@) 68a7 -s23
2.5340-6=l
53406
6847 -206847 - 40006847 - 4523
(b)(d)(f)
I
3. 45OO-80=l
450080
I
4.7OOO-:00=l
7000300
@@@ Ortooorttiioll,i
@@@@@
s9(9q9
iolioltltrliioooi
@@@@
@@@@@
'Oroooioooi5, 15,.lll,
@@@@
@@{"iitI
5. Find the volue of(o) 4821 - 514(c) 6743 - 461(e) 9674 - 8s3
5645 - 13174769 - 32927356 - 4731
Fil;;;,;--\
(b)(d)(f)
6. Find the difference between 2435 snd 1268.
2435- 1268
I@@ @@@
@@@ ooo
)oo)to)tli)ooe9w e9w
,{.)\
i.r00,l-1
606_-;)
_l -,,ei@@@@@@@@@
ooo{'ia?)\-,/\.'/
oo
7. Find the volue of(o) 7613 - 18s(c) as81 - 790(e) 6094 - 428
(b)(d)(f)
845096083640
+zoz68941807
30
8. Find the difference between 5243 ond 2787.
52 43-2787I
9. Find the volue of(o) 716s - s268(c) 83s3 - 3s72
6875 - 39969s64 - 8461[ ,.,'."".-' ,>
(b)(d)
@@@ { r ll r )
ic o_OOOrrooiQlQ,
@@@@@
q9{9
@@@@@
@
t..)-1
@@@@'------@e@leeeQQQ]
oooooo
@@@@
(;;;)
(roo).^'.-
cotlaleCQQ]
@@@
@@
oooooo
10. Find the difference between 6000 ond 257.
6000257
I
Chonge l thousond for t hundreds,9 tens ond 10 ones.
@@@@@ oo
ooEQ
rooO
oooooooot
oooocaaioro
11. 6004 -2678=f
12. Find the volue of(o) 4000 - 392(c) 3020 - 2430
7002 - 4847s000 - 2074
(b)(d)
32
13. 5200 - 948 = I
I
Find the volue of(o) 8007 -3429(c) 9403 - 4275(e) 7063 - 5476
6900 - 7455302 - 461810 000 - 5721
5200948
14.(b)(d)(f)
@@@@@ oooootlotl
toOlIioltilall@@@@
6;i)--!
@,_ /@'
r@@@i@@@t@@@.
ooooo oo
33
f;ffi;;-\
PRACTICE 2C
Find the volue of each
(o)
1. 4329 + 54502. 6341 +26133. 4349 +31754. 3490 +1844
of the following:
(b)
3642 + 12535294 + 27067804 - 69358000 - 3405
(cl
7465 - 32145277 - 18638016 - 54523378 - 2499
5. A shop sold 957 beef curry puffs ond 1238 chicken curryo uffs.How mony curry puffs were sold oltogether?
6. 1730 people visited o book foir in the morning.2545 oeoole visited the book foir in the ofternoon.How mony more people visited the book foir in thecfternoon thon in the morninq?
7. 52937 were donoted bv Encik AIi ond Mr Lin.Encik Ali donoted $1450.How much money did Mr Lin donote?
8. Mr Muthu eorned $3265.His wife eorned $2955.How much more money did he eorn thon his wife?
9. 1147 people went to Sentoso by coble cor.3996 more people went to Sentoso by ferry thon by coblecgr.How mony people went to Sentoso by ferry?
Alice soved $2900.She soved $1567 less thon her brother.How much did her brother sove?
34
10.
PRACTICE 2DFind the volue of eoch of the following:
(o) (b)
1. 6203 +977 2645 + 38752. 5472 + 4415 4975 + 19283. 2446 + 6596 7042 - 51704. 3421 + 42a2 9000 - 6571
5. There were 2055 people ot o concert.1637 of them were odults.How mony children were there?
6. There ore 1206 pupils in o school.47 of them were qbsent yesterdoy.How mony pupils were present?
7. Out of 2316 tickets sold. 1548 tickets were for o footbollmctch.The rest were for o bodminton motch.How mony tickets for the bodminton motch were sold?
8. The toble shows the prices of twopicnos.How much cheoper is Piono B thonPiono A?
9. Encik Rohmot hod $5000.He spent $2572 on o computer ond $955 on o televisionset.(o) How much money did he spend?(b) How much money hod he left?
10. ln o school, there ore 1225 pupils in the morning sessionond 904 oupils in the ofternoon session.(o) How mony fewer pupils ore in the ofternoon session
thon in the morning session?(b) How mcny pupils ore there oltogether?
(c)
8300 - 42519613 - 53573142 - 14557173 - 3654
35
@ Two-step Word Problems
Jomes picked 17 rombutons ond Liming picked 12.They ote 20 of the rcmbutons.How mony rombutons were left?
17 +12=29
They picked 29 rombutqns oltogether.
29-20=l
Find the totol numberof rombutons theypicked oltogether first.
I rombutons were left.
36
1. 125 children took port54 of them were girls.How mony more boys
in o mothemqtics competition.
thon girls were there?
2.
125 - 54=71
There were 71 boys.
t1 -54=lThere were I more boys thon girls.
AIi collected 137 stomps.He collected 27 stomps lessHow mony stomps did they
thon his sister.collect oltogether?
137 27
137 +27 =164 l,
Ali's sister collected 164 stomps.
137 + 164 =l
They collected I stomps oltogether.
37
r-;;;;;,. \
2.
PRACTICE 2E
1. A former collected 1930 chicken eggs.He collected 859 fewer duck eggs thon chicken eggs.How mony eggs did he collect oltogether?
4100 children took port in on ort competition.2680 of them were boys.How mony more boys thon girls were there?
Encik Ali mode 1050 sticks of chickensotoy ond 950 sticks of mutton sotcy.He sold 1765 sticks of sotoy oltogether.How mony sticks of sotoy hod he left?
Mr Li eorned $3915.
5.
He spent $1268 on food ond $1380 on rent ond tronsport.How much did he hove left?
A refrigerotor costs $1739.An oven is $850 cheoper thon the refrigerotor.Mrs Chen buys both the refrigerotor cnd the oven..How much does she poy?
7.
Meiling hod $2467 in o bonk.She deposited onother $133.How much more money must she deposithove $3000 in the bonk?
There ore 4608 members in c club.2745 of them ore men.855 ore women.The rest ore children.How mony children qre there?
8. Miss Li soved $1035.Miss Wong sqved $278 more thon Miss Li.Miss Wu soved $105 less thon Miss Wong.How much did Miss Wu sove?
5-
4.
6.
if she wonts to
38
Multiplicotion qnd Division
O Looking Bock
w#ffi&mw#ffiffi-tr@@mffiu&
sd#ffi#ff#ffiffiffi,H#ffiffiryepffi-
-r^rlr'il,,r["dby-is-f-\\\ Whot is 2 multiplied bv 5? ,/
"#
39
1. Comolete the number sentences.
4x3=l 3x4=l4+4+4=f
3+3+3+3=ltffi;;-,.^",-.".-\
dd
,+}{'K
d_dd
r.q{rK
dd
ddd
2. Whot ore the missinq numbers?
lx4=284xa-28 28.- 4=l
lx3=303xI-30 30+3=l
lx5=35sxl-3s 35*5=l
lx10=40loxl-40 40*10=l
3. mony stqrs ore there on eoch poir of cords?How
(o) (b)
3x2=l 2x2=l
1x2 =l 0x2=lA A ployer threw 3 rings over the post.
For eoch ring thot wqs thrown in, the ployer scored 2 points.How mony points were scored in eoch of the following?
(o) (b)
2x3=l 2x2=l(c)
2x0=lE',"",,;;,"-'>
2 x1=l
41
5. There ore 8 buttons on eoch cord.How mony buttons qre there on 5 cords?
Bx5=l
There ore I buttons oltogether.
A toilor used 21 m of cloth to moke dresses.She used 3 m of cloth for eoch dress.How monv dresses did she moke?
21 +3=l
e
/aof:7t
Multiply 8 by 5.
3 ,, l=21
She mode I dresses.
42
t;;iil;-\
PRACTICE 3AFind the volue of eoch of the
(a) (b)
following:
1. 4x2. 5x3.7x
5.
16: 221 -336-4
360
(.) ;i
Ox42 x1O4x9
(d)
50+10o-4
18+2
4. Mrs Fu bought 3 pockets of strowberries.There were 8 strowberries in eoch pocket.How mony strcrwberries did she buy oltogether?
Sumin orronged 24 toy soldiers in 4 rows.There were on equol number of toy soldiers in eoch row.How monv tov soldiers were there in eoch row?
6. Devi soved $5 o week for 8 weeks.How much did she sove cltoqether?
7. Cik Siti poid $18 for 3 kg of durians.Whot wos the cost of 1 kg of durions?
8. Mrs Wu boked 6 cokes.She put 10 cherries on eoch coke.How mony cherries did she use oltogether?
Dovid bought 4 pineopples ot $3 eoch.How much did he poy oltogether?
There were 27 desks to cleon.3 boys shored the work equolly.How mony desks did eoch boy cleon?
'I '1. 3 children mode 24 birthdoy cords oltogether.Each child mode the some number of cords.How mony cords did eoch child moke?
ao
9.
10.
43
@ More Word ProblemsThere ore 9There are 3How mony
white flowers.times os monyred flowers ore
red flowersthere?
os white flowers.
r
9
9x3=27
There qre more red flowersthon white flowers.
@@€
sffiffiraatrt.Q'
oltaot|.ofJ(*t)Jrfl
9x3
There ore I red flowers.
44
1. Meihuo hos $16.She hos twice os muchHow much money does
Meihuq
Sulin
16:2 =l
Sulin hos $1.
2. 4 children bought o present for $28.They shored the cost equolly.How much did eoch child poy?
28 * 4=l
money os Sulin.Sulin hcve?
$28
?
4 units =1 unit =
Eoch child poid $1.45
3. 5 children shored the costEoch of them poid $6.Whot wos the cost of the
equclly.
$6
He nos 55 cn lcKens.
zs-t-lHe hos I chickens more thqn ducks.
e 's=lThe cost of the present wos $I.
OUCKS
chickens
or o present
1 unit = $6Sunits=$6x5
4. A former hos 7 ducks.He hos 5 times os mony chickens os ducks.How mony more chickens thon ducks does he hove?
Find the number ofchickens first.
7
w
(b)
24+314-225+516-470-10
(c)
2x75x64x8
10 x23x9
(d)
32-420-528+460+1036+4
5 sets of 8 books in the morning.books in the ofternoon.books did she mork in the morning?books did she mork oltogether?
12. There ore 9 red bolloons.There ore 3 times os mony blue bolloons osred bolloons.How mony bolloons ore there oltogether?
PRACTICE 38Find the value of eoch of the followino:
(o)
1.6x22. 7 x33. 3x44. 7 x55. 9x10
11. Miss Li morkedShe morked 30(o) How mony(b) How mony
6. There ore 6 rows of choirs.There ore 30 choirs oltogether.How mony choirs ore there in eoch row?
A troin set costs 5 times os much os the toy cor.Whot is the cost of the troin set?
8. Mrs Li bought 10 towels.Eoch towel cost $8.How much did she poy?
9. Hosson weigirs 36 kg.He is 4 times os heovy os his brother.How heovy is his brother?
10. Mrs Wu bought 4 boxes of pencils.There were 5 blue pencils ond 3 red pencils in eoch box.(o) How mony pencils were there in eoch box?(b) How mony pencils did Mrs Wu buy?
41
PRACTICE 3C
Find the volue of
(o)
1. 1x52. 9x23. 3x34. 8x45. 0x4
eoch of the following:
(b)
14+2(c)
12-{ 5x0+ 5 3x
90+ 10 2x21 -3 4x
6x 37806
(d)
28-440+515-l70+10O*2
6. Ahmod eorned $10 o doy.He worked for 7 doys.How much did he eorn oltogether?
7. Cik Fotimoh bought 15 kg of rice.She bought 3 times os much rice os sugor.How mony kilogroms of sugor did she buy?
8. Devi proctised on the piono for 2 hours eoch doy.How mony hours did she proctise in 7 doys?
9. Mrs Li poured 16 litres of syrup equolly into 4 botttes.How mony litres of syrup were there in eoch bottle?
10. Meihuo hos 6 postcords.Sumin hos 3 times os mony postcords os Meihuo.How mony more postcords does Sumin hove thon @
Meihuo? @
11. Minffo hos 6 goldfish.He hos 5 times os mony guppies osgoldfish.lf he puts his guppies equolly into 3 tonks,how mony guppies ore there in eoch tonk?
12. Rcju bought 18 pencils.He bought twice os mony pencils os pens.How much did he poy for the pens if eoch pen cost $3?
oooooooo
&&&&@@@@&&&&40x3=l
&&&&@@@@&&&e400x3=I
O Muftiplying Ones, Tens ond Hundreds
&&&&4x3=12
Multiply 4 ones by 3:4onesx3=12ones
Multiply 4 tens by 3:4tensx3=12tens
Multiply 4 hundreds by 3:4 hundreds x 3 = 12 hundreds
49
1. Find the volue of(o) 9x5(d) sx9
(c)(f)
(b)(e)
90x550x9
900x5500x9[ ,"*;";;;i \
2. Multiply 12 by 4.
12x4I
12x4=40+8
@@&@
'lQx4=40
@@oo&@oo
2^4=8
When we multiply 12 by 4,the product is 48.
48 is the product of'12 snd 4.
50
3. Multiply 42 by 3. ffi& " ,
42x3
\42\+zri3 \ x 3ri3 \ r 3
5,l1:rMrrltiniw +he onp< hw i / Mrrl+inlrr rhe tirn< lnr
"/
Multiply the ones by 3. / Muttiply the tens by 3.//
/
f ',,,"\r,.r,*,, \
ffiffi%@@
i@€&l@e'OOOOI@s&*l
I
4. Multiply 24 by 3. w& , :
2+x3I
Gi--,! ie@$l@@'i@@@@li@e@@i
@@trt,&&
Kb":
6. Find the product for eoch of the following:
5. Multiply 34 by 3.
34x3
(o) 81 x2@) s2x a(s) 63x3
(b) 16x3(e) 23x4$) 2axs
3 x375x454x38
(c)(f)
se&*@@@&&&
'i&&t&&ooootr&&&&l
Ge) , j@)
i&&'&&&
@@@t,&&@,
7.3x342=l
8.
Find the(o) 21a(d) 620@) 28e
342X3
Find the product of 245 ond 3.
9. proouctx2x3x3
for eoch of(b) 323(e) as1(h) 704
the following:x3 (c)x2 (f)x5 (D
4x3x5x
z5l234436
@@&^@@@@@@
i@€&l@@l@@@@ti@@@@j
@@oo@@
342x3
I342
x36
Multiply theones by 3.
26Multiply thetens by 3.
1026Multiply thehundreds by 3.
I245
x311245
x311245
x35
Multiply theones by 3.
35Multiply thetens by 3,
735Multiply thehundreds by 3.
53
PRACTICE 3DFind the volue of eoch of the followinq:
(oJ
1. 20x92. 4Ox63. 50x24. 6Ox45. 30x86. 32x37. 2x49
(c)
80 4x50010 5x80030 8x10050 6x20020 7 x4OO4 52x543 3x75
(b) (d)
200x540Ox4300x54OO x7500x458x25x43
3x5x4X6x9x
72x+x
8. A bookseller sold 30 books on the first doy.On the second doy, he sold 8 times os mony books os onthe first dov.How mony books did he sell on the second
9. Mingfo hod 4 rolls of film.He took 24 oictures with eoch roll.How mony pictures did he toke oltogether?
There cre 5 rows of tiles.There ore 56 tiles in eqch row.How mony tiles ore there oltogether?
Meihuo collected 76 stickers.Sulin collected 3 times os mony stickers os Meihuo.How mony stickers did Sulin collect?
12. Devi bought 4 dolls ot $38 each.How much did she poy oltogether?
54
10.
11.
PRACTICE 3E
Find the volue of
(o)
1. 300x42.9O1 x23. 614x54. 800x55.249x3
ecch of the
(b)
3x3123x5084x4322x5065x361
following:
(.)
419x5625x4781 x5439x4968x4
(d)
4x5505x3923x6235x5562x104
7.
o.
8.
There ore 126 pins in one box.How mony pins ore there in 3 boxes?
A rodio costs $262.A television set costs 4 times os much cs the rodio.How much does the television set cost?
Mrs Wong bought 3 boxes of beods.There were 260 beods in eoch box.How mony becds did she buy oltogether?
One pocket of biscuits weighs 250 g.Whot is the totol weight of 5 pockets of biscuits?
Mrs Chen sold 680 eggs lost week.She sold 4 times os mony eggs this week os lost week.How mony eggs did she sell oltogether?
9.
10.
11. The refrigerotor costsWhot is the totol costcooker?
5 times os much os the rice coorer.of the refrigerotor cnd the rice
PRACTICE 3F
Find the volue of eoch of the
(o) (b)
1. 12x22. 223x23.252x34. 724x25. 260x3
3x144x5274x7633x1055x415
following:
(c)
16x5129 x2372x5414x4509x5
rd)
4 x183 x3263 x2845 X tLV/v2no
6.
7.
Mrs Fu mode 28O egg sondwiches for o porty'
She mode 3 times os mony chicken sondwiches os egg
sondwiches.How monv chicken sondwiches did she moke?
There ore 365 doYs in o Yeor.How mony doYs ore there in 4 Yeors?
8. A oilot flies 105 hours in one month'How mony hours will he fly in 5 months?
9. One box of chocolotes weighs 350 I'Find the totol weight of 2 boxes of chocolotes'
10. There were 30 cokes in one box'Mrs Wu bought 4 boxes of cokes.
How much d'id she poy for the cokes if eoch coke cost $3'
1 '1. There ore 18 choirs in the first row'
There ore 25 choirs in eoch of the other 5 rows'
How mony choirs ore there oltogether?
56
@ Quotient qnd Remqinder
Meihuo hos 14 toy soldiers.She puts the toy soldiers equolly intoHow mony soldiers ore there in eoch
How mony soldiers ore left?
@mtr &m& &mffi
14:4= 3 with remcinder 2
There ore I soldiers in eoch tent'
4 tents.tent?
fiff.&
&
&
We write:14+ 4=3
! soldiers ore left.
57
( **,^,*r'ro.aio,/ the quotient is 3 ond the
\_T_:?3R2
4T1412 <:ttal2 <,-l! 2
1. Divide 9 by 2.
fflllflfl r9r2=l
2. Divide 12 by 2.
fffr0080
filf tf880000
E
4R1zE
q1
6zTn
12
0
12._2=l
3. 28*2=l
ilil
4.34*2=l
@
IIr!rnl
fitrl'fffltH$ llll
@
8B0a
DA0n
mwm88
%ttbu
1
zfn2
14
zTn2
880
ones+ 2= 4 ones8
wn0
nU
0
hU
0
888
400
@6qffi
?FI-J-FH
't7
zfz+2
1414
014ones+2=7ones
59
q 73*2=l3D'61
ry36
T-lt5o
1312
n
When 73 is divided by 2,
the quotient is I ond
the remoinder is I.
Whot con you soy obout the remoinderfo llowin g ?
(o) on even number divided by 2(b) on odd number divided by 2
@@@@@@ €
ooo>F1
@@@ @@@I OOO
@@@ | @@@ooo
@
36R1zD1
6
in eoch of the
6.
12
1
f -*""',-.*.' ..
Q) Dividing Hundreds, Tens qnd ones
4OO * 2 =l]
oooo & @@
@@
500+2=l
ooooo w
550*2=l
@@@@@w@@@@@@@@
OOOOO *ooooo -
5 hundreds + 2
@@@@@@@@@@@@@@@@@@@@@@@ooooo
61
I2Fso
&&@@
@
oooe'OO
&&
@@
&&&&&&@@@@@@
&
@
&&
@@
&&&&&@@@@@
&&&&&&(&@@@@@@@
1. 96* 4=l
When 96 is divided by 4, the quotient is I ond theremoinder is l.
2. 80*3=I
3.
When 80 is divided by 3, the quotient is I ond the
remoinder is l.
Find the quotient(o) 48+2(d) s1 *4
ond remoinder(b) 60+3(e) 75*5
for eoch of the(c) sa(f) 67
following:
4.426*3=l
5. 823 - 4=l
6. Find the quotient(o) 352 + 4(d) 700 + 3(g) 249 + 4
(b) 640 + 2(e) 290 + 4(h) 374 - 2
(c) 433 + 5(f) 105 + 30 511 +5
ond remoinder for eoch of the followina:
64
PRACTICE 3G
Find the volue of
(o)
1. 82-22. 91 -{3. 192-24.600+35.745+5
eoch of the
(b)
58-360: 4
702-4853-2900-4
fo llowin g:
(.)
/b + |
37-3299-5330-4413-3
(d)
80+ 547 +3
429+S501 +3tz5 +- +
6.
7.
Aminoh mode 205 poncokes.She put them into boxes of 4 eoch.How mony boxes of poncokes were there?How mony poncokes were left over?
5 pockets of coffee powder weigh 750 g.How much does eoch pocket weigh?
A mon hos 316 fishbolls.He puts 3 fishbolls on o stick.How mony sticks of fishbolls con he moke?How mony fishbolls will be left over?
9. Dovid hos 74 wheels.lf he uses 4 wheels to moke o toy cor, howmony toy cors con he moke?How mony wheels will be left over?
10. Somod hos 429 m of wire.He cuts it into pieces.Ecch piece is 3 m long.How mony pieces con he get?
8.
65
Find the volue of eoch of the followinq:
(c)
PRACTICE 3H
toJ
1. 20x5z. 5/ x 33. 312x44.691 x55. /b6XJ
(b)
42+2 4x5150 + 5 2x78
123:3 5 x 50027O- 4 3x607679:5 5 x 705
(d)
75-360+5
408+ 4500+3328-5
7. Mory works in o restouront for 4 hours o dov.(o) How mony hours does she work in 26 dovs?(b) lf she is poid $3 on hour, how much monev does sne
eorn in 26 dovs?
6. A former keeps 64 goots.He keeps 5 times os mony cows cs goots.How mony cows does he keep?
8. 5 boys shore 150 Moloysion stomps ond 200 Indonesionstomps equolly.How mony stomps of eoch country does eoch boy get?
9. Mr Ton pocked 215 oronges into bogsHe sold oll the oronges ot $2 o bog.How much money did he receive?
of 5 eoch.
Dovid wonts to buy 4 bosketbolls.He nos ontv 555.How much more monev does he need?
10.
REVIEW AFind the volue of eoch of the
(o)
1. 1672 + 2982. 3941 -2963. 47x34. 78-3
following:
(b) (c)
804 + 91965000 -4999789 x4451 +5
3984 +4732 -
2O7 x700 -
1479241554
5. 1628 boys ond 1092 girls took port in on ort competition.How mony children took port oltogether?
6. There were 4525 concert tickets for sole in the morninq.1909 tickets were sold ot the end of the doy.How mony tickets were left?
7. There were 485 ( of petrol in one drum.How mony litres of petrol were there in 4 drums?
8. (o) A toilor bought 563 m of cloth to moke dresses.He used 3 m to moke eoch dress.How mony dresses did he moke?How mony metres of cloth were left?
(b) lf he sold oll the dresses ot $5 eqch, how much moneydid he receive?
9. There were 1052 people in o villoge.650 of them moved to q new town.226 of the people left in the villogewere adults.How mony of them were children?
10. Sulin hos $240.Meifen hos 3 times os much money os Sulin.How much money do they hove oltogether?
'@
67
o
Multiplicotion Tqbles of6,7,8 ond 9
Looking Bock
WWW
Pick o cord ond give the cnswer.
58
Moke the cords. Eoch ofthem hos the onswer otthe bock.
#WW
IWIIIWW
Do you know the onswers of oll the cords.f;fi;;;;,; \
69
Front Bock
WWWWW
lrlIIIIIIIIIWW
O Muhiplying qnd Dividing by 5
3x6=I w@
The mochine multiplies thenumber we put in by 6.
The mochine divides thenumber we put in by 6.
w@30*6=l
KH&E'H
1. (q)
aaoooalaoaaoai
Ia a o a a a f 30oaoaaaaaaoaa_.1eooooole
x6
4x6=l
5x6=I6x5=I
6x5=306x6=l
(o)oxo=5u+ti
71
(
(b)
(cJ
...o...l.oo...la a o o a o >30aaaoaaaaaaaaJo {9 c o o e }1,e&oo60l -
o..o.a.laaaaaafzoooooal-o.....J@@@@e@lI 6 O 6 6 O tzo{ao@e6&@@&@el
G:-::t-
6x5=306 x2 =126x7 =l
6x4=246x8=l
6x10=606x9 =I
(d) aooaaooaaaoaaoaoaaaoaoaoaoaoaaaoaaoooaaaoaaaaaooooaaaa@&@@@@
6x9=60-6
72
Complete the number sentences.
1x6=62x6=123x6=184x6=245x6=306x6=l7 x6=l8x6=I9x6=l
10x6=60
ox I
6x26x36x46x56x66x76x86x96x10
IIrTIIIIII
4.
I.6 =306 xI-30 30*6=I
lx 6 =426 xl- 42 42, 6 =l
lx 6 =486 xl-48 48*6=l
lx 6 =546 'l=sq 54*6=l
73
5. Multiply 285 by 6.
6. d the product of34 ond 6
'108 ond 6
Divide 325 by 6.
o6
(b)(e).
Fin(o)(d)
56
Find(o)
tne
5+Z
quotient-6+6
ond remoinder(b) 89+6(e) 708 * 6
the following:75-6
615+6wor[book Exe,.5es ]2 & 33
57 ond472 ond
(c)(f)
for eoch of(c)(f)
ond 69ond 910
285x6
Io)32>
8.
(d)
PRACTICE 4AFind the volue of eoch
(o)
1. 6 x 32. 18: 63.43x64. 80:6
of the following:
(b)
6x424+694x6
405-6
742
o562
(c)
x6+6x57+6
5.
o-
Find the missing numbers.
(c) 6xl=30 (b) lx4=2a(c) 7xl=42 (d) !x6=60
There ore 6 ployers in one teom.How mony plqyers ore there in 14 teoms?
7. 6 children shore 84 bolloons equolly.How mony bclloons does eoch child get?
8. John eornsHow much
9. Mr Lin tiedHow mony
$85 o week.money con he ecrn in 6 weeks?
192 books into bundles of 6 eoch.bundles were there?
10. Cik Holimoh bought 6 m of cloth for $84.Find the cost of 5 m of cloth.
11. Encik Ahmod bought 6 kg of durions.1 kg of durions cost $6.How much did he poy?
/5
O Multiplying snd Dividingby 7
Mr Somy mode this toble to help him collect money.
(o) Aihuo bought 2 cokes.How much did she poyr
(b) Mrs Li ordered 4 cokes for o porty.How much did she poy?
(c) Siti poid Mr Somy $35.How mony cokes did Mr Somy give her?
(d) How mony cokes could Mr Fu buy with $42?
76
1. .,X,/]-XEXHXEI
3x7=l
5xi =l7x5=I
(o)
7x5=357 x6=l
(b)
7x5=357 x2=147x7=l
a o a o a o alIaoaaaaal
a o a a a o a >35aaaoaaaa a a a a a aJoo&aaa&)7
ooaaaaa)aooaoaao a a o a o o >35....o..1a a a o a o aJo&&aa&o\14aaoaoaa_l
::-:.)
77
oaaaaao-ta o a a a a a !)R.o.....1-"a a o a a o oJ&aa&66e1o o a a a a a l"qaocooc.l-"a&a&&a&_l
70
aaaoaoaaaaaaoaaaaaaaaaoaaoaaaaoaaaaaoaaaaaaaaoaaaaaoaaoooaoaaaoa&&6&&&
(c)
(d)
7 x4=287x8=l
7 x10 =707x9 =l
3.
There ore I doys in 2 weeks.
There ore ! doys in 4 weeks.
There ore f doys in 10 weeks.
4. Comolete the number sentences.
21
IIIIIIT
(b) 7 x'l(e) 70+7
IIITIIIIIT
--7
- 1A
i
1x72x73X /4x75X/6x77 x78x79 x7
10 x7
7x2 =-7
"2 -7 x4 =7 x5 =
7x7 =7 x8 =7x9 =7 xlO =
5.
6.
7.
8.
Find the volue of(o) 6 x7(d) s6+7
(b) 63 x7(e) 804 x 7
(c) 7 x9(f) 21 *7
(c) 7 x71(f) 7 x218
(c) 64: l(f) 80-7
(c) 682 + 7(f) 70s + 7
ti",."",..""-"..".;t>
Multiply.(o) 56x7(d) 92ox7
Divide.(a) 75+7(d) 91 *7
Divide.(o) 108 + 7(d) 73O + 7
(b) 84*7(e) 98*7
(b)(e)
231 +7954: 7
79
PRACTICE
Find the volue
(oJ
49of eoch of the
(b)
7x/t1
608 x540 +
following:
(c)
7x321 +77x800
714+7
(d)
9x705+ /
930x7805-7
1. 4x2. 28-3. 7x4. 95:
77407
o777
5. A boker needs 7 eggs to boke o coke.He hos 150 eggs.How mony cokes con he boke?How mony eggs will be left over?
6. There ore 7 doys in o week.How monv dovs ore there in 52 weeks?
7. Mr Wong is 7 times os old os his grondsonHe is 63 yeors old.How old is his grondson?
1 kg of prowns cost $26.Mr Chen bought 7 kg of prowns.How much did he poy?
Cik Siti spent $84 on 7 towels.Whot wos the cost of 1 towel?
10. Mrs Li pocked 112 lemons into bogs of 7 eoch.She sold oll the lemons ot $3 o bog.How much monev did she receive?
11. A jocket cost 7 times os much os o T-shirt.lf the T-shirt cost $26, whot wos the totol cost of the T-shirtond the jocket?
8.
9.
80
o7o
of eoch of the following:
(b) (c)
7 x 8 6 x 10
42+6 60-6Ox7 10x1O+7 10+10
(d)
7 x749*7
513x7847-7
5.
A boker bought 84 eggsHe used 6 eggs to bokeHow mony cokes did he
to boke cokes.ecch coke.boke?
a.
PRACTICE 4C
Find the volue
(o)'1. 6 x2. 36+3. 67x4. 304-
Meili hos o piece of rope 161 cm long.She cuts it into 7 equcl Pieces.Whot is the length of eoch piece?
6. Mr Wong bought 28 kg of durions.How much did he spend?
7.
6 children shcred 3 boxes of cookies equolly.Eoch box contoined 48 cookies.How mony cookies did eoch child get?
9. There were 7 boxes of blue pens ond red pens.
There were 12 pens in eoch box.lf there were 36 red pens, how mony blue pens were there?
10. Mrs Wu bought 35 m of cloth ot $6 for 1 m.
She still hod $25 left ofter poying for the cloth.How much did she hove ot first?
@ Muftiplying and Dividing by 8
8x4=32
....o....]a a o a a a a a f ??aoaoaaoaaaaaaaoa_.1aaorcaoalo o a a o o o o 1.,aaoaoaool'-ooooaeec_l
8x8=I
9x4=36
aaaaoaaoa)oaaaaaaaa[--o a a o a o o o o f
to
aaaaoaaaaJoo.oceocolo o a o a a a a a l?Aoaoaaaaoal'-oooaooaea.l
9x8=l
a2
An octopus hos 8 orms.
s,@
@
(.)(f)
2.
3.
Multiply.(o) 3 x8(d) 8xaDivide.(c) 80+B(d) 72*8
Multiply.(o) 56x8(d) a18 x 8
Divide.(o) 98 +(d) 30s *
(b) sx8(e) 8x7
/'h\ 4R = R
(e) 56+8
(b) 79 x8(e) 305 x 8
111
oozt +
8x88x9
24-B40-8EF!;!:ri->
8x688x620Iil,i,;;:r,,, ...
807+8960-8E't:!:1@>
A
5.
(c)(f)
(c)(f)
(c)(f)
88
/hlaa
83
PRACTICE 4DFind the volue
(o)
1.82. 243. 434. 120
of eoch of the
(b)
6x856+897 x8
579-8
following:
(c)
10x880+88x262
745+8
lx8=72
hold
(d)
8x864-8
874x8832+8
x3-8x8-8
5. Find the missing numbers.
(o) 8 x l=32(c) 8xl=6+
(b)(d)
6.
7.
9.
lx8=48
There were 36 tobles ot o dinner porty.8 people were ot eoch toble.How mony people were ot the PortY?
A poil holds 18 litres.8 poils of woter con fill o tonk.How mony litres of woter does the tcnk
Mrs Fu boked 390 torts.She put them into pockets of 8 eoch.How mony pockets did she hove?
How mony torts were left over?
A gordener bought 12 wotering cons.Eoch con cost $8.lf he gove the coshier $100, how much chongereceive?
10. Mrs Wong bought o refrigerotor.She poid $245 in the first month ond $103 eoch month foronother 8 months.Whot wos the cost of the refrigerotor?
I1
I
PRACTICE 4E
Find the volue
(o)
1. 6x72. 42+63. 73=74. 943+8
of eoch the following:
8781
ofr/h'\
X
X-i
I48
00
756
1
8
(c)
+-
X
10
88
(d)
x9-8-8+6
6.
7.
8.
9. 8 people went to the seoside.They hired o boot for 6 hours'lf they shored the cost equollY, howmuch did eoch person sPend?
5. A grocer had 145 kg of sugor.He pocked the sugor into pockets of 6 kg eoch.How mony pockets were there?How mony kilogroms of sugcr were left over?
Mr Chen wonts to buyumbrellcs.Eoch umbrello costs $7.How mony umbrellos con he
buy with $168?
There ore 120 poges in on exercise book.How mony poges ore there in 8 exercise books?
Mr Ton wonts to buy 6 choirs which cost $28 eoch.
He hos onlv $100.How much more money does he need?
872
150872
DOA?A#lz +". 11,,",
85
s
O Muhiplying qnd DividingbV 9
"w*w,w"ww"w.ww"w"waoaoaaaaaaaoaoaaaoaaaaaaaoaaaoaaaaaaaaaaaoaoaaoaoaaaaooaaoafaaaaaoaaoaoa@@@@@@@@
80 8x'10=80Bx9 =I
9x10=909x9 =l
oaaaaooaaaooaaaaaaaaaaoaoaaooooooooaaaaooooaaaaaaaaoaaaaaaooaaaaaoaaaoaaaaaaooaaa&@@@@6@@@
v.O
X:9
x9
AJ
XY
X:'
Add the tens digit qnd ones digit of eoch product.The onswer is l.
Here is on interesting woy to multiply by 9.
zl3
ww ww3x9=27
&w &w4x9=36
7 x9=l 9x9=l
3. (o) ttttotttt.i8' ' a a o o o a a a a,
ooooonou?)taoooooooooJo o . o o . . ! ? lrso a a a a a a a a)
oooooouoo)18o o o o o o o o oJ
.oo..??!?]raa a a a a a a a a)
rh) ... o.. o. o-)
'-'orooococcl2Toaaaoaaaa.)ooooooooo'lo o o o o a a o ol27ooooooooo,
9x2 =18
4. Multiply.(a)2x9 (b)ax9 (c)9x3(d) 8x9 (e) 9x9 (f) 9x7
5. Divide.(o) 90+9 (b) 63:9 (c) 45+9(d)s4+9 (e)72*9 (f) 81 +9
6. Multiply.(o) 54x9 (b) 73x9 (c) 9x80(d) 201 x9 (e) 678x9 (f) 9x609
7. Divide.(o) 97-9 (b) 108*9 (c) 89-9(d) 620 + 9 (e) 903 + 9 (f) 14s - s
9x4 =18x1
9x6 =18x1
9x8 =18x1
9v10=1821
9r6 =27'l,
ll'
88
PRACTICE 4FFind the volue
(q)
1.32. 275. 5t4. 954
x9
x9-9
of eoch of the following:
(b) (c)
9x4 9x536: p 45 +.99x400 657x9
563+9 79O-9
@
(d)
9x981 +9
198x9823+9
5. Mory bought 9 pieces of string eoch 1g m lonq.How mony metres of string did she buv?
6. 25 boys went comping.Eoch boy brought 9 cons of food.How mony cons did they bring oltogether?
7. Copol bought 9 T-shirts for $144.How much did one T-shirt cost?
1 1. Meihuo bought 27 opples ot 3 for 92.How much did she poy in oll?
8. Dovid cut o wire 918 m long into pieces.Eoch piece wos 9 m long.How mony pieces did he get?
9. Hosson uses 185 ( of petrol o month.How much petrol does he use in 9 months?
10. A toilor bought 9 pockets of buttons.There were 120 buttons in eoch pocket.He used B buttons on o cress.How mony dresses did he moke if he used oll the buttons?
PRACTICE 4G
Find the volue of
1.92. 543. 694. 581
8x864+ 80x90-9
770
1
9
(o)
x6
xB+9
eoch of the
(b)
x10.'7
XY.1
following:
(c)
636
901749
(d)
x6+6x6,-7
5. Mrs Wong gives eoch of her children $7.lf she gives o totol of $28 to her children, how monychildren does she hove?
6. A tonk holds 126 litres.A poil holds 9 litres.How mony poils of woter will fill up the tonk?
Mingfo worked for 7 doys.He wos poid $36 eoch doy.How much money did he receive?
There ore 136 roses.There ore 6 times os mony sunflowersos roses.How mony sunflowers ore there?
Mr Lin hod 112 tomctoes.8 of them were rotten.He pocked the good tomotoes into pockets of 8 eoch.How mony pockets of tomgtoes did he get?
There were 8 stomps in o set.Copol bought 120 sets of stomps.After selling some stomps, he hod 680 stomps left.How mony stomps did he sell?
7.
8.
9.
10.
90
Money
Dollors qnd CentsReod the prices of these items.
$35.25 = | dollors I cents
>75.+u = I oo',or, I cents
$35.25
$35 2saThe dot . seporotes thecents from the dollors.
fiQo
5o7.25 = | oorrors I cenrs
$32.75 = | dollors
9'i
'tr&
I cents
1. How money in eoch set?m uch
(o)
dollors ! $l(b)
I dollors I cents = $l2. (o) Write $ 1.25 in cents.
$1.25 = Ic(b) Write 170( in dollors ond cents.
17Oc = $l
is the
c
3.
4.
5.
Write in cents.(o) $0.30
Write in dollors(o) 8sc
How much
(o) $0.70
(b) $1.es
ond cents.(b) 160a
e
@@@@
@@
(c) $a.Os
(c)
more money is needed to mcke+ $l = $1 (b) $o.ss +
345a
$1?
$l=$1
r--,,""--".-" \92
PRACTICE 5A1. Write in cents.
(o) $0.20(d) $z.os
2. Write in dollors(o) s{(d) 210s
Find the missing(o) 30c+l=(c) $0.+o + I
(o)
(b) $o.es(e) $s.60
ond cents.(b) 60a(e) 8ssc
omount of money in$1 (b) I=$1 (d) I
400a305{
eoch of the following:+45c=$1+ $0.65 = $1
(c)(f)
(c)(f)
$7.00q? qc
3.
4.
6 twenty-cent coins = $l
12 five-cent coins = $l(c) Lily hos 6 twenty-cent coins ond 12 five-cent coins.
How much money does she hove oltoqether?
5. There ore 2 five-cent coins, 3 twenty-cent coins ond4 one-dollor coins in o purse.Whot is the totol omount of money in the purse?
93
O AdditionMrs Chen bought o box of chocolotes for $13.25 ond ocoke for $6.50.How much did she spend oltogether?
r3wffiCost of chocolotes Cost of ccke
Totol cost of chocolates cnd coke
$13.2s+$6.s0=$I
@@
She spent $l oltogether.
94
$2.8s+2oe=$l$2.7o+60c=$l$5.65+45c=$l$16.95 +45c=$l$24.70+95c=$l
Find the volue of(o) $1.s0 + 20a(c) $38.40 + 3s((e) $2s.40 + 60c
(o)(b)
(d)
$14.20 + 65a$2.75 + 25a$33.85 + 15(
(b)(d)(f)
2.
1.
$2.85 + 20a.
/\15( 5a
85c ond 15( make $1.
3. (o) $25.70 * $o , $l *'on , $l$2s.7o+$4.10=$l
(b) s34.6s -12 ' sl -l!!:- sa$34.6s+$2.3s=$I
(c) $30.80 + $s ) $l * oou , $l$30.80+$s.40=$l
(d) $24.70 + $10 ) $l * too , $l$24.70 + $10.s0 = $l
A Find the volue of(o) $14.65 + $6.20(c) $32.70 + $24.s0(e) $40.8s + $19.6s
(b)(d)(f)
$13.60$1s.60$28.3s
$24.40$23.70$26.7s
+++
95
5. We con odd $24.55 ond $13.65 like this:
$24.ss+ $ 13.65
$38.20
Use this method to find the vclue of(o) $3s.30 + $21.40(b) $27.10 + $10.s0(c) $a0.70 + $33.60(d) $s2.8s + $16.3s(e) $28.6s + $32.4s(f) $36.90 + $24.8s
6. Ali bought o toy cor for $6.95.He olso spent $2.80 on o meol.How much money did he spend oltogether?
$2.80+$6.9s=$l
i -.,,,-.,,*,*, \
2455+ 1365
He spent $l cltogether.
96
7. Mingfo poid $11.90 for o
He hod $24.65 left.How much money did he
pen.
hove ot first?
8.
$1r.90 $24.65
$11.90+$24.6s=$l
He hod $l ot first.
John soves $6.75 this week.He soves $2.35 less this week thon lost week.How much money did he sove lost week?
$6.75
$6.75+$2.3s=$l
He soved $l lost week.
97
l- **;,."* * \
SubtrqctionMr Wu bought o radio ond o colculotor for $56.50.Ine cotcutotor cost st5.5u.How much did the rodio cost?
@@@@@
@@@ @@@Cost
aof rodio ond colculotor
,,?1ffi, :ffi'@@@@@
@@@Cost of colculqtor
$s6.s0-$2s.30=$l
r',ffi:,:.ffi'.ffi@@@
Cost of rodio
The rcdio cost $I.98
$1 -60a=la$1.25-35(=lc $1.40-85c=Ic
$3.20-80c=$l$14.6s -90c=$l$46.25 - 4sc = $I$32.0s-85c=$l$42.30-55c=$l
4. (o) $16.80 - $4 > $I - 6ou , $l
$16.80-$4.60=$I
(b) $37.70 * $10
> $l - tou , $I$37.7o - $10.20 = $l
(c) $29.20 - $12 ) $l * soa , $I$29.20-$12.s0=$l
1. Find(o)(c)(e)
2. (o)
(c)
the volue of$2.60 - 2oa$3s.8s - 45a$6.s0 - 4sa
(b) $8.7s - 30c(d) $1.s0 - 2sa(f) $46.70 - 2sa
(b)(d)
$1.30 - 6oa -la
3.(c)(b)
(c)
(d)
(")
93.20 - 80a
$2.20 $1
Subtract 800 from $1.
5. Find the volue of(o) $47.s0 - $12(c) $s8 - $12.60(e) $2s.0s - $1s.3s
(b) $3s.70(d) $64.40(f) $s6.20
$0.8s$11.60$28.9s
99
6. We con su btroct )25. /u rrom )4b.zu ttKe tnts:
$46.20
- $23.70$22.s0
Use this method to find the voiue of(o) $as.10(c) $s4.60(e) $70.20
$23.40$37.80$28.7s
(b) $36.3s(d) $s2.2s(f) $6s.os
$10.8s$3s.4s$3s.1s
7.
8.
9.
Find the volue of(o) 6200 - als(c) 400s - 83s
Find the volue of(o) $10 - $4.7o(d) sso - $23.80
$62.00 - $4.1s$40.0s - $8.3s
(b)(d)
(c)(f)
(b) $30 - $7.20$100 - $s2.90
$s0 - $8.2s$100 - $39.4s
Noncy bought o box of biscuits whichShe gove the coshier $10.How much chonge did she receive?
$10-$s.6s=$I
cost
She received gl chonge.
100
10. Meili hod $20.She bought onWhot wos the
umbrello ond hod $14.60 left.cost of the umbrello?
$14.60
11.
$20
$20-$1a.60=$I
The umbrello cost $1.
Minghuo hos $25.50.He wonts to buy o wotch which costs $35.How much more money does he need?
$2 s.s0
$3s-$2s.s0=$l
$3s
He needs $! more.
101
PRACTICE 58
2.
1. Add.(o) $26.20 +(c) $48.40 +(e) $6s.8s +
Subtroct.(o) $36.70 -(c) $s2.30 -(e) $72.20 -
/h\(d)(f)
(b)(d)(f)
$13.s0$27.30$2s.80
clq ?q$30.70$26.9s
q?g 4q +$15.95 +$36.45 +
$60.55$24.3s$s4.ss
$60.s0$40.0s$81.00
$24.4s$16.30$31.8s
3.
4.
After spending $24.60, MeihuoHow much money did she hove
Mingfo wonts to buy o fishingHe hos only $48.60.How much more money does
hod $76.40 left.ot first?
rod which costs $62.50.
he need?
5.
7.
A toy cor costs $16.80.A toy ceroplcrne costs $5.60 more thon the toy cor.Whot is the cost of the toy oeroplone?
o. Sumin hod $10.After poying for his lunch, he hod $6.95 left.How much did his lunch cost?
A blouse cnd o skirt cost $42.50.The blouse cosls $"16.85.Whot is the cost of the skirt?
Meilin hod $40.50.She bought c pen for $6.80 ond c book for $
How much money hod she left?
8.
102
13.20.
PRACTICE 5C
Find the vqlue of eoch
(q)
1. $14.85 + $26.152. 529.65 + $0.953. $40.80 + $59.204. $34.45 + $28.955. $72.95 + $26.95
of the following:
6. A bodminton rocket costs $15.90.A tennis racket costs $42.50.How much checper is the bodminton rocket thcn the tennisrocket?
7. The usuol price of o rodio is $43.Its sole price is $29.95.How much cheoper is the sole price thon the usuol price?
8. Sumei hos $10.80.Her mother gives her some more money'She hos $12.30 now.How much money hos her mother given her?
9. Mr Chen bought some$3.70.He hod $21.30 left.How much money did
vegetobles for $2.4O and o fish for
(b)
$2s.60 - 522.3s$41.90 - $16.7s$s0.00 - $31.0s$32.0s - $22.9s$64.2s - $3s.9s
he hove ot first?
Mrs Wu bought o chickenThe chicken cost $5.70.The duck cost $1.95 moreHow much did she spend
ond o duck.
thon the chicken.
103
10.
REVIEW B
Find the volue of eoch of the following:
(o) (b)
1. 609 + 92 982 + 1282. 820- 118 903 -2943. 49x6 2O4x74. 96+ 6 1O4+7
Aihui worked in o foctory for 9 doys.She wos poid $45 eoch doy.How much did she eorn oltogether?
Mrs Rojo poid $56 for some durions.How mony kilogroms of durions didshe buy?
Lily weighs 29 kg.Her fother is 3 times os heovy os she.How much heovier is Lily's fotherthon Lily?
Mr Lin bought 2500 tiles.He used 1164 tiles for one room ondroom.How mony tiles were left?
49763005342260
24209698
+
5.
6.
l.
8.940 tiles for onother
9. 4 people bought o birthdoy present for their friendThey poid the coshier $100 ond received $48 chonge.lf they shored the cost equolly, how much did eoch personpoy?
10. Cik Foridoh bought 8 pcckets of biscuits for o porty.There were 12 biscuits in eoch pocket.
After the po rty, there were 28 biscuits left.How mony biscuits were eoten ot the porty?
104
C/ Cunnrcur.ur,,r PuNNING & DEvEropMENr DtvtstoNqIO MrNrsrRy oF EDucAfloN, StNGApoRE
50t 973 931 0t 3"i49 ?
iljilililJiiltilffi' ". .i tvtarshall (avendish
. i,.. i Education
