Solved ExerciseMATHEMATICS 3 - Javed Publishers

Text Research & Development by:

The Society for Lions Educational Research

7/4-Block E-3 Gulberg III Lahore.

Solved Exercise

MATHEMATICS VEE LL

3by: Tariq Ishaq

4 15Measurement

5 16Multiplication Facts

Through 10x10

6 23Division Facts Through 10x10

7 30Fractions

8 34Primeter and Area

1 3Numbers up to 999

2 6Addition within 999

3 10Subtraction within 999

2

Use the chart to represent the numbers:

5 thousands 7 hundreds 2 tens 8 onesTh H T O

9 thousands 2 hundreds 5 ones

8 hundreds 6 tens 3 ones

2000 + 600 + 30 + 7

500 + 8

6000 + 60 + 4

400 + 70 + 5

5 7 2 8

9 2 0 5

8 6 3

2 6 3 7

5 0 8

6 0 6 4

4 7 5

Write the place value of the digit 4:

1 2 3 41047 3406 4671 9674

Write the number:

3 thousands 6 hundreds 3 ones1

2 thousands 1 hundred 5 tens2

7 thousands 2 hundreds, 223

4000 + 80 + 1 = 6000 + 800 + 5 =4

4000 + 80 = 700 + 20 + 4 =5

1 2000 3000

2 6100 6200

Complete the pattern:

3603

2150

7222

4081 6805

4080 724

40 400 4000 4

4000 5000 6000 7000

6300 6400 6500 6600

1

Unit

Whole Numbers up to 9999Whole Numbers up to 9999Whole Numbers up to 9999

1.1 Numbers with 4-Digits

5 62367 2360 1010 1100

3 4925 920 1759 1760

1 21654 3659 2136 759

Compare. Write > or < in :

>

<

>

<

<

>

3 1100 2200

4 4010 5020

Complete the number using the cards:

7 1 8 4 6

3300 4400 5500 6600

6030 7040 8050 9060

Th H T O Th H T O

8 1 4 6 7 1 6 8

Tick ( ) the greater number:P

3 5 2

9 5

4 7 8

6 7 9

1 0 3 5

9 8 7

3 9 2 1

4 1 8 0

1 2 3 4

Tick ( ) the smaller number:P

1 5 2 0

9 8 9

5 3 3

5 3 4

9 3 2 0

9 3 2 5

1 3 5 4

4 6 3 1

1 2 3 4

Write a greater number:

1

527

2

999

3

3055

4

7199528 1000 3056 7200

Write a smaller number:1

1000

2

555

3

9350

4

3100999 554 9349 3099

3

1.2 Comparing Numbers

Write the numbers in order from least to greatest:

Use < . Write the numbers from least to greatest:

Write the greatest number:

Write the least number:

1 2650 490 395 925 952 295

3 4785 8750 8057 6022 6220 6202

21 84 90 49 300 400 700

43 346 3146 3416 6010 6100 6001

1 2986 698 896 1700 7100 7001

1 2210 120 201 4000 4100 4010

Use the digits to make the:6 7 1

395 490 650 295 925 952

785 8057 8750 6022 6220 6202

49 84 90 300 400 700< < < <

6001 6010 6100 346 3416 3146 < << <

Use > . Write the numbers from greatest to least:

1 925 9502 9052 5029

2 300 7526 5726 6725

> > >9502 9052 5029 925

> > >7526 6725 5726 300

986 7100

120 4000

greatest number 761

least number 167

Say if you would add or subtract:

Truck A weighted 9684 kgs and Truck B weighted 9864 kgs.How much more did Truck B weight?

Subtract 9864 – 9684 = 180 kg

4

1.3 Ordering Numbers

3070 6190 5913 47255 6 7 83000 6000 6000 5000

910 1321 2400 86751 2 3 41000 1000 2000 9000

910 278 366 8895 6 7 8900 300 400 900

426 69 432 6791 2 3 4400 100 400 700

1 2 3 432 77 66 10630 80 70 110

5 6 7 81032 3131 4004 3991030 3130 4000 400

Round to the nearest 10:



NumberRound to the nearest

Thousand Hundred Ten1417 1420682 10003599 36004030

1000

40004000

1400700 680

36004000 4000

Complete the table:

Round the prices to the nearest 100 or 1000:

rounded toRs. 430Rs. 1865 rounded to

rounded toRs. 125 rounded toRs. 2525

2000 400

100 3000

1 Display the number. Use the chart.

Problem Solving

Th H T O

2 thousands 4 hundreds 1 ten 8 ones.

4 thousands 8 tens 2 ones.

6 thousands 3 hundreds 7 tens.

6 hundreds 9 ones.

2 4 1 8

4 0 8 2

6 3 7 0

6 0 9

5

1.4 Rounding

2About 250 persons were on the Shaheen Airlines flight fromLahore to Karachi.What is the greatest/least number that could be on the airplane?

3On a rainy day the number of students who attended school wasabout 540.What is the least number that could have attended?

4

and write the numbers that round to 500.

Use the digits 7 2 5 4

300 / 200

500/- students

524, 472, 542, 527

Add:

+

5 1 7 6

3 7 2 1

1

+

2 5 0 7

3 8 1

2

+

6 1 1 5

5 3 4

3

+

2 0 0 7

6 9 2

4

8 8 9 7 2 8 8 8 6 6 4 9 2 6 9 9

5

+

8 5 4 6

5 3

6

+

7 2 1 1

6 0 0

7

+

8 1 0 3

1 3 0

6 4 +

3 0 0 0

3 8 1

1 6

8

8 5 9 9 7 8 1 1 8 2 9 7 3 3 9 7

721 + 617 =

+ +

3000 + 799 =

1 27 2 16 1 7

1 3 3 8

3 0 0 0 7 9 9

3 7 9 9

Add:

6

2

Unit

Addition within 9999Addition within 9999Addition within 9999

2.1 Adding without Regrouping

7

Solve. Check by using a calculator:

+ 1 9 8

1 6 4 64

1 8 4 4

+ 1 4 7

1 8 6 53

2 0 1 2

+

8 6 9

1 2 8

2

9 9 7

+

6 2 7

2 5 3

1

8 8 0

Find the missing digits:

Tick ( ) the right sum:P

Complete the pattern using Thinking Math:

Collect multiples of 10:

8410 + 1379 = 1246 + 501 =

3 4

+ +8 4 1 0 1 3 7 9

9 7 8 9

1 2 4 6 5 0 1

1 7 4 7

+

2 67 1

5 8 7

5 2 6 4

8 5 8 7 2 7 7

81 5 2+ +

8 9 3

6 32 6 5+

1 2 3 413

2 33 3

11

9

2 5 4 1 2

9

5123 + 254 = 4100 + 509 =

7663 5477 5377

1 2

i ii iii i ii iii919 4609 9519P

5377

P

4609

1 3

1 9

3 2

+2 3

1 9

4 2

+3 3

1 9+4 3

1 9+5 3

1 9+1 2 3 4 5

5 2 6 2 7 2

13 + 15 + 7 = = =

= = =

= = =

14 + 7 + 6

18 + 5 + 22

(13 + 7) + 15 20 + 15 351

2

3

(14 + 6) + 7

(18 + 22) + 5

20 + 7

40 + 5

57

45

Add:

386 + 96

9 63 8 6

4 8 2

+

= 865 + 128

8 6 51 2 8+

=

1 2

9 9 3

1 1

1 1 1 1 1 1 1

1

2.2 Adding with Regrouping Twice

Add:

Use the table to fill the :

979 + 38

9 7 93 8+

= 1796 + 134

+

=

1 3 41 9 7 93 4

1 0 1 7 2 1 1 3

793 + 654 + 82

7 9 3

+

=

6 5 48 2

5

1 5 2 9

Kind of Trees

MangoApple

Orange

Cherry

Number

675

246

188

26

=The total of mango trees and orange trees is1

675 + 188 863

=The total of apple trees and cherry trees is2

246 + 26 272

=The total of all the trees is3

675 + 246 + 188 + 26 1135

Which is greater, the number of themango trees or the orange trees?

4

Mango trees

Find the missing digit:

7 8 2 1 6 5

4 8 8 72 6

5 1

7 8 6 9 7 3 1 4 2 6 2 2 3 1

++++

1 2 3 425

2 5

2

4

5 4

5

65

1 1 111

3 1 2 51 7 6 9+

6 5 4 12 0 9 4+

6 7 8 69 0 4+

6 7 6 82 5 7 4+

1 2 3 4

4 8 9 4 8 6 3 5 7 6 9 0 9 3 4 2

1111111

3 8 5 13 2 5 0+

3 1 8 51 0 9 9+

3 0 7 68 5 4+

2 3 9 08 4 7+

5 6 7 8

7 1 0 1 4 2 8 4 3 9 3 0 3 2 3 7

1 1 1 1 11 11

1 1 1 1

2

8

2.3 Adding with Regrouping

1 Complete the table. Use a calculator:

Input Output

25

Input

16

345 684

765 1346

Rule: Add 253 Rule: Add 455

Output

278

598

1018

471

1139

1801

3 A jam factory delivered 1760 cans to the Shop andSave stores, and 485 cans to the Highway Stores.

How many cans were delivered?

4 A nursery planted 595 yellow flowers and 2475 red flowers.How many flowers were planted in all?

2 Last month Ali had 1350 coins. This monthhe has 750 coins. How many total coins Alihas?

1350 + 750 = 2100 coins

1760 + 485 = 2245

2475 + 595 = 3070

+

3 6 0 38 8 71 3 7 +

1 5 7 8

3 6 59 4 6

+ 8 88 9 3

1 6 3 0

+ 1 6 3

2 4 8 05 0 5

9 10 11 12

4 6 2 7 2 8 8 9 2 6 1 1 3 1 4 8

1 1 1 1 1 1 1 2 1 1 1

Tick (P) the correct sum:

=

7444 7654

7486 + 168 7454 7554

+

1 i ii

iii iv

=6705 + 369

7014 7074

7174 7164

+

2i ii

iii iv

7 4 8 6

1 6 8

7 6 5 4

P

6 7 0 5

3 6 9

7 0 7 4

P

1 1

1 1

9

5 The number of the students in boys school is 1725.and the number of the students in girls school is 1275. How many students are in both the schools?

1725 + 1275 = 3000

Subtract. Check by adding:

–

6 8 3

5 1 –

9 5 5

2 5 0 –

6 7 0 8

1 3 0 0–

3 5 9 0

4 6 06 3 2 7 0 5 3 1 3 0 5 4 0 8

1 2 3 4

–

1 5 8 7

3 4 1–

8 6 6 6

4 5 2–

6 5 3 5

3 3 2 4–

7 6 6 8

3 5 47 3 1 4 3 2 1 1 8 2 1 4 1 2 4 6

5 6 7 8

Use the same method:

Word Problem.

The price of a new table lamp is Rs. 1650.Sara has saved Rs. 350.How many more Rs. does Sara need to buy thetable lamp?

30

400

6000

50

6000

600

1650 – 350 = 1300

10

3

UnitSubtraction within 9999Subtraction within 9999Subtraction within 9999

3.1 Subtraction without Regrouping

Subtract. Check by adding:

Subtract:

Complete the table.

Add : 45 Subtract : 55 Subtract

Add600

565

1382

973

425 370 645 675 48

632 153 26

271 828

1530

610

1427

1018

577

216

1475

627

127

74 754

– 3 6 7

1 6 5 5

–

4 7 8

3 6 9

1

–

7 8 2

3 5 8

2 3

– 1 6 9

7 4 5 34

1 0 9 4 2 4 1 2 8 8 7 2 8 4

6 18 7 12 5 14 15 3 14 13

– 7 6 8

5 3 2 15

– 3 9 2

1 7 8 56

– 8 6 9

6 5 3 77

–

8 2 5 1

2 5 7 6

8

4 5 5 3 1 3 9 3 5 6 6 8 5 6 7 5

5 14 12 17 7 11 14 11

–

8 4 3

5 7 6

843 – 576 =

1

2 6 7

–

1 3 4

7 7

134 – 77 =

2

5 7

7 13 13 0 12 14

–

8 8 8

1 9 9

888 – 199 =

3

6 8 9

–

7 7 6

4 8 8

776 – 488 =

4

2 8 8

7 17 18 6 16 16

–6 6 7

2 2 2

667 – 222 =

5

4 4 5 431 – 178 =

–4 3 1

1 7 8

6

2 5 3

3 12 11

18 61111124

11

3.2 Subtracting with Regrouping

Amount in Sara’s account

She with draws

Amount left

=

=

=

=

Rs. 6537

Rs. 869

6537 – 869

Rs. 5668

Word Problem.

Total distance

car travelled in 2 days

Remaining distance

=

=

=

=

=

750 km

243 + 335

578 km

750 – 578

172 km

1 In a safari of 750 kilometres, a car traveled 243 kilometres the first

day. On the second day it went 335 kilometres.

How many more kilometres must the car go to finish the race ?

2 In a cricket match team A makes 342 runs and team B makes 297 runs.

How many more runs are made by team A?

3 In a bank account Sara has Rs. 6537. She with draws

Rs. 869. How many rupees are left Sara account?

Runs of team A

Runs of team B

More runs by team A

=

=

=

=

342

297

342 – 297

45 runs

Solve and check by adding:

5 2 93 1 5–

1 1 5 9 04 7 3–

2 3 6 0 93 5 7–

3

2 1 4 1 1 1 7 3 2 5 2

8 10 5 10

7 8 8 09 9 9–

4 3 6 0 01 3 2 0–

5 2 7 0 51 5 0 7–

6

1 1 9 82 2 8 06 8 8 1

6 17 17 10 105 6 9 15

12

3.3 Subtracting with Regrouping (across zeroes)

Subtract.

2 =9901 – 5635

–

=5900 – 2300

–

1

5 9 00

2 3 0 0

3 6 0 0

9 9 0 1

5 6 3 5

4 2 6 6

8 9 11

4 =8600 – 5333

–

3 =9505 – 4338

–

9 5 0 5

4 3 3 8

5 1 6 7

4 9 15

8 6 0 0

5 3 3 3

5 9 10

3 2 6 7

3 5 2 52 2 5 0–

7 5 4 0 56 7 0–

8 9 0 0 24 5 5 5–

9

1 2 7 5 4 7 3 5 4 4 4 7

4 12 4 13 10 8 9 9 12

8 9 9 15 5 9 3–

10 3 3 4 42 2 6 6–

11 9 5 5 72 2 8 2–

12

3 3 9 8 1 0 7 8 7 2 7 5

8 18 11 2 13 14 4 15

6 6 0 64 7 7–

13 8 0 7 82 4 5 6–

14 7 0 0 06 2 2 2

6 1 2 9 5 6 2 2 7 7 8

15

–

5 9 16 7 10 6 9 9 10

Problem Solving

1 The number of students in school A is1765.The number of students in school B is 1352.How many more students does school B need to accept sothat the number of students in the two schools is the same.

b The sum is 6500 and the difference is 1500.

a The sum is 5000 and the difference is 1000.

2 Choose the pairs that fit:

4000 , 1000 3000 , 20003500 , 1500

4500 , 2000 4000 , 2500 5000 , 1500

1765 - 1352 = 413

13

14

3 Complete.

Add

Su

btra

ct

4725

2467

2258

4322

3688

Add

Su

btra

ct

6542

4525

3986

2867

634

9047

6155

2892 2017 1119

10528

7392

3136

Total number of students

Number of boys

Number of girls

=

=

=

=

1025

678

1025 – 678

347 girls

Price of new dress

Hina has saved

Hina need more rupees

=

=

=

=

Rs. 1550

Rs. 450

1550 - 450

Rs. 1100

a In a school the number of boys is 678.

If the total number of students in the school is 1025.

Find the number of girls in the school.

b A school library has 672 history books and 1239 language books. If

the total number of books in the library is 3000. What is the number

of science books ?

Total number of books

Number of book history

and language

Number of science book

=

=

==

Rs. 3000

672 + 1239

1911Rs. 3000 - 1911

1089

c The price of new dress is Rs. 1550. Hina has saved Rs. 450.

How many more rupees does Hina need to buy the dress?

4 Solve the following word problems.

Fill in the table with the appropriate numbers:

m 1 3 5 7 9

cm 100 300 500 700 900

Fill in the table with the appropriate numbers:

m 1 2

cm 100 200 400 600 800

4 6 8

The window is 2m wide

1m 1m

Write the length:

1 2

3 41m

The carpet is 3m long

1m 1m 1m

The desk is 1m long

The car is 1m wide

1m

15

4

Unit

MeasurementMeasurementMeasurement

4.1 Measurement Length Using Meters

Write addition and multiplication sentences:

Use the number line to find the product:

Write a multiplication sentence:

1 x 2 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8 2 x 5 = 10

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

4 3 12x = 2 5x = 3 4x = 3 3x =10 12 9

+ =

x =

+ =

x =

4 4 8+ =

2 4 8x =

8 8 16

2 8 16

6 6 12

6 2 12

2 x 5So, 5 x 2=

2 rows of 5 10 = 5 columns of 2 =

21

Find the product:

10

16

5

Unit

Multiplication FactsMultiplication FactsThrough 10x10Through 10x10

Multiplication FactsThrough 10x10

5.1 Multiplication Facts Through 5x5

So, 4 x 2 2 x 4=

4 columns of 2 = 2 rows of 4 =

43

8 8

3 columns of 4 = 5 columns of 3 =

65

12 15

Write , or in > < = to complete the number sentence:

xx xx3 5 5 3 3 3 4 41 2

xx xx2 3 4 2 4 0 0 53 4

xx xx3 5 5 2 2 1 1 55 6

Write a multiplication sentence:

x =4 2 8 x =6 2 12

x =8 2 x =8 316 24

17

5.2 Multiplication Facts Through 5x9

x =6 3 18

x =7 3 21

x =7 2 14

x =9 3 27

Write < , > or = in to complete the number sentence:

7 x 3 9 x 2 3 x 8 5 x 443

5 x 2 3 x 4 2 x 6 3 x 421

Find the product. Use the figure:

7

4x

28

8

5x

6

5x

9

4x

row

column1 2 3 4

7 x 6 =

5 x 7 = 4 x 8 = 5 x 9 =

5

6 7 8

Complete:

x

15

14

27

1 2 3 4 5 6 7 8 9

2

3

10

Complete:

x 1 2 3 4 5 6 7 8 9

4

5

10

2 4 6 8 10 12 16 18 20

3 6 9 12 18 21 24 30

40 30 36

42

35 32 45

4 8 12 16 20 24 28 32 36 40

5 10 15 20 25 30 35 40 45 50

18

Word Problem.

Sami has Rs. 50.

He wants to buy 9

Does he have enough money?

Rs. 5

Yes

4 x 6 =

3 x 5 =

6 x 6 =

9 x 6 =

5 x 5 =

Use squares to make arrays. Find the product:

4 x 4 =

6 x 2 =

7 x 6 =

3 x 6 =

5 x 2 =

87

65

43

21

9 10

24

15

36

54

25

16

12

42

18

10

11 5

8x

5 x 8 =

12 5

7x

5 x 7 =

13 8

3x

8 x 3 = 40 35 24

14 6

0x

6 x 0 =

15 4

9x

4 x 9 = 0 36

x 1 2 3 4 5 6 7 8 9

6

10

x 6 = 42 x 4 = 2448 = 8 x

3 x 6 = x 2 4 x 3 = 6 xx 6 = 40 + 8

Rule: x6

Input

output

5 6 7 8 9

Rule:

Input

output 8 16 24

2 3 4 5 6

Complete:

6 12 18 24 30 36 42 48 54 60

7 6 6

9 8 2

x4

30 36 42 48 54 12 20

19

5.3 Multiply by 6

Use > , < or :=

16 x 3 4 6 50x 843

32 x 4 8 8 x 4 821

Find the product:

3 x 7 = 1 4 x 7 = 7 x 6 = 2 3

7 x 2 = 4 7 x 7 = 5 x 7 = 5 6

21 28 42

14 49 35

1

7x

78

7x

87

2x

97

9x

1010

7x

11

7 56 14 63 70

Complete:

26 3

8

547

9 9 x

40 – 5 = x 53

21 + 21 = x72

7 x 4 = + 141 14

6

7

54 27

72

45

3663

81

18

Find the product:

3 x 8 = 8 x 8 = 8 x 9 = 1 2 324 64 72

87654 8

1x

7

7x

9

6x

2

8x

8

7x

8 49 54 16 56

Complete:

x 1 2 3 4 5 6 7 8 9

8

10

8 16 24 32 40 48 56 64 72 80

>

<=

<

20

5.4 Multiply by 7

5.5 Multiply by 8

1 x 2 4x 8 8 x 4 6x 387 = =

56 x 4 9 9 64x 865 > >

Multiply these questions.

T U9

6x____________

____________

T U7

8x____________

____________

T U6

4x____________

____________

T U5

5x____________

____________

T U8

9x____________

____________

T U9

7x____________

____________

654321

5 4 5 6 2 4 2 5 6 3 7 2

By using tables, find the product of these questions:

Find the product of the following questions by carrying forward:

72

41x x____________ x____________ x____________

T

x____________

U

23

41

31

31

46

51

49

41

54321 H T U H T U H T U H T U H

____________

________________________

+ ________________________

+ ________________________

+ ________________________

+ ________________________

+

9 44 7 0

5 6 4

2 64 2 0

5 4 6

1 30

3

333

3 6

3 2 45 4 0

8 6 4

3 9 64 4 0

8 3 6

1 2 3

1

82

21x x____________ x____________ x____________

T

x____________

U

56

41

80

32

03

61

02

81

109876 H T U H T U H T U H T U H

____________

________________________

+ ________________________

+ ________________________

+ ________________________

+ ________________________

+

5 62 8 0

3 3 6

2 7 04 5 0

7 2 0

0 07 6 0

7 6 0

1 8 06 0 0

7 8 0

1 6 08 0 0

9 6 0

1

1

3

1

1

Th H T U

1 1 6

9x____________

Th H T U

2 9 0

6x____________

Th H T U

2 2 2

5x____________

____________ ________________________

321

1 1 1 0 1 0 4 4 1 7 4 0

1 1 1 5 5

1

21

5.6 Multiplication with a Two-digit Multiplier

22

Find the product:

Use > , < or :=

2 x 10 = 9 x 10 = 1 220 90

9

1x

410

3x

3 10

5x

5 9

8x

6 5

9x

7

30 9 50 72 45

40 x 9 5+35 9 x 10 8x 96 > >

9 x 10 8x 81 5 – 65 15x 102< =

10 +50 50x 103 9 x 9 7x 74= =

Problem Solving

The teacher is hanging up his students' pictures.The display is 5 pictures wide and 6 pictures long.

How many pictures are in the display?

1

6x 5

3030 pictures

Solve these questions with a two-digit multiplier:

Th H T U

5 1 5

3x____________

____________

Th H T U

4 1 4

4x____________

____________

Th H T U

3 2 6

5x____________

____________

654

1 5 4 5 1 6 5 6 1 6 3 0

1 1 1 3

H T

45

____________

____________

U

____________

H T

44

____________

____________

U

____________

H T

77

____________

____________

U

____________

H T

____________

____________

U

____________

H T

6421x 31x 01x x61x____________

____________

U

____________

54321

1 0 8 1 3 2 0 0 2 7 6+ + + ++5 4 0 4 4 0 7 7 0 4 6 0

6 4 8 5 7 2 7 7 0 7 3 6

9891

8 0 18 9 0

9 11 6

1 3

1

3

5.7 Multiply by 10

Umer goes to karate class 2 times each week.

How many classes does he go to in 8 weeks?

3

8x 2

16 classes

Aqsa is setting the table for 9 guests. Every guestgets 2 forks, 1 knife and 1 spoon.

How many forks, knives and spoons will Aqsaput on the table in all?

4

Number of forksNumber of knivesNumber of spoons

===

2 x 91 x 91 x 9

===

18 forks9 knives9 spoons

Mohsin buys a for Rs. 350, a for Rs. 150 and a for

Rs. 225. How much does he spend in all?

2

1

3 5 01 5 0

+ 2 2 57 2 5350 + 150 + 225 = Rs.

How can you use multiplication to check ÷ =0 3 0 ?

6 ÷ 3 = 2 12 ÷ 3 = 4 10 ÷ 2 = 5

2 x 3 = 6 4 x 3 = 12 5 x 2 = 10

Write a pair of related multiplication and division sentences:

23

6

Unit Division Facts Through Division Facts Through 10x1010x10

Division Facts Through 10x10

6.1 Division Facts Through 5

24

Find the quotient:

= = = =2 ÷ 1 4 ÷ 4 6 ÷ 3 20 ÷ 51 4322 1 2 4

= = = =10 ÷ 2 15 ÷ 3 3 ÷ 1 10 ÷ 58765 5 5 3 2

6 ÷ 2 = 3 12 ÷ 4 = 3 10 ÷ 5 = 2

3 x 2 = 6 3 x 4 = 12 2 x 5 = 10

5 25250

3 12120

2 660

5 550

9 10 11 125 4 3 1

Find the missing factor and quotient:

÷ =30 6x = 3061 5 5

÷ =42 6x = 4262 7 7

÷ =63 7x = 6373 9 9

÷ =21 77 x = 214 3 3

÷ =49 7x = 4975 7 7

÷ =54 6x = 5466 9 9

Find the quotient:

÷ =421 6

÷ =73 7

÷ =215 7

÷ =562 7

÷ =244 6

÷ =06 7

7

1

3

8

4

0

÷

6

6 12 18 24 30

1 2 3 4 5

35 42 49 56 63

7

÷

5 6 7 8 9

Problem Solving

Javed has 56 marbles.

He puts an equal number of marbles in each of 7 bags.

How many marbles are in 2 bags?

1

(i) 56 7 = 8 marbles÷

(ii) 8 x 2 = 16

6.2 Divide 2-Digit Numbers by 6 and 7

2 Fatima bakes 16 .

She eats 2 and divides the rest equally among 7 friends.

What division sentence shows how many each friend gets?

14 7 = 2÷

Solve the following questions:

1 4

1 4

0

2

7

—

1

Quotient = 2Remainder = 0

2 0

2 0

0

5

4

—

2


2 4

2 4

0

4

6

—

3


3 2

3 2

0

8

4

—

4


6 0

6 0

0

10

6

—

5


3 6

3 6

0

6

6

—

6


5 0

5 0

0

10

5

—

7


4 5

4 5

0

5

9

—

8


Solve the following questions:


5 83

2 82 7

1

1 93

—

1

— Quotient = 12Remainder = 2

7 46

1 41 2

2

1 26

—

2

—

25

6.3 Vertical Division

8 27

1 275

1 1

7

—

3


—

9 88

1 81 6

2

1 2

8

—

4


—

1 0 09

1 091

1 1

9

—

5


—

1 1 31 0

1 31 0

3

2 2

5

—

6


—

3 4 22

1 41 4

0 220

1 7 1

2

—

7


—

—

6 1 84

2 12 0

1 81 6

2

1 5 4

4

—

7


—

—

Solve the following simple division questions:

1 6

1 5

1

5

3

—

1


2 8

2 8

0

4

7

—

2


4 2

4 2

0

7

6

—

3


5 5

5 4

1

6

9

—

4


4 7

4 2

5

6

7

—

5


6 8

6 4

4

8

8

—

6


26

7 5

7 2

3

9

8

—

7


8 2

8 1

1

9

9

—

8


Solve these questions of division into two or three steps.

4 44

0 440

1 1

4

—

1


—

4 53

1 51 5

0

1 5

3

—

2


—

6 05

1 01 0

0

1 2

5

—

3


—

9 08

1 00 8

2

1 1

8

—

4


—

6 24

2 22 0

2

1 5

4

—

5


—

1 1 51 0

1 51 5

0

2 3

5

—

6


—

4 2 24

2 22 0

2

105

4

—

7


—

6 3 85

1 31 0

3 83 5

127

5

—

8


—

3—

27

Problem Solving

There are 8 carrots in each bag. Noor needs48 carrots. How many bags should she buy?

1

=3 8 6 x 44=45 9 50 ÷ 103 ÷ x

=32 8 40 =13 6 70 ÷ 1021 + –

Write + , – , x , or ÷ to complete the number sentence:

48 ÷ 8 = 6

Find the Quotient:

÷ =16 8 ÷ =18 9 ÷ =10 10321 2 2 1

÷ =27 9 ÷ =48 8 ÷ =60 10654 3 6 6

Divide:

56 40 48 32 24

8

÷1

7 5 6 4 3

2 54 45 72 63 81

9

÷ 3 70 60 90 80 100

10

÷

6 5 8 7 9 7 6 9 8 10

7070

0

10 9090

0

9 6464

0

887 9

7

— —

10

—

8

28

6.4 Divide 2-Digit Numbers by 8,9 and 10

Problem Solving

Total PriceCost of 1 toy dogRemaining price

Cost of 5 toy dogsCost of 1 toy dog

=======

Rs 30Rs 1530 -15Rs 15Rs 1515 ÷ 5Rs 3

1 Amir buys 6 toy dogs for Rs. 30. One toy costs Rs. 15.The others all cost the same.How much does each one cost?

4 Naveed spent Rs. 16. at the store.This is twice as much as Zainab and Ayesha spent there.Ayesha spent Rs. 5.How much did Zainab spend?

Total rupees spentby Naveed

Rupees spent byZainab and Aysha

Zainab spent rupees

=

=

===

16

16 ÷ 2

Rs 88 – 5Rs 3

29

Circle the shapes that shows :12

Write under the shapes those show one half.12

Circle the shapes that shows halves:

4321

12

12

4321

2 31 4

30

7

Unit

FractionsFractionsFractions

7.1 Halves and One Half

Circle the shapes that shows thirds:

4321

7.2 Thirds and One Third

31


4321

Circle the shapes that shows two thirds:

Write the fraction that shows the coloured part:

4321

4321

12

13

13

14

7.3 Two Thirds

Circle the fraction that shows the coloured part:

321

12

23

34

12

13

23

12

13

23


321

13

23

23

32

Write the fraction that shows the coloured parts.

4321

4321


Circle the shapes that shows fourths:

12

14

12

14

12

14

12

14

14

14

14

14

1 2 3 4

7.4 Fourth and One Fourth



4321

12

14

34

12

14

34

12

14

34

12

14

34

4321

7.5 Three Fourths

33


4321

14

34

34

34

Problem Solving

12

13

14

They ate equal parts.What fraction did each eat?

cut into thirds.

12

12

14

321

Colour the shape that shows the fraction:

Write the fraction that shows the coloured part.

321

24

14

12

34

12

34

34

54 6

Write ‘open’ or ‘closed’ for the shapes given below.

1 2 3

open closed open

8

Unit

Primeter and AreaPrimeter and AreaPrimeter and Area

8.1 Perimeter

4 5 6

closed open closed

Write down the number of sides and find the perimeter for the followingshapes:

Number of sides = ___________________

Name of closed shape =_______________

Perimeter = _____+_____+_____+_____

= ________ cm

3 cm3 cm

3 cm

3 cm

1 4

Square

3 3 3 3

12

35

2 cm 2 cm

2 cm2 Number of sides = ___________________


Perimeter = _____+_____+_____+_____

_____+_____ = ________ cm

6

Hexagon

2 2 2 22 cm 2 cm

2 cm122 2

3 cm 3 cm

4 cm

3 Number of sides = ___________________


Perimeter = _____+_____+_____

= ________ cm

3

Triangle

3 3 4

10

1 cm

1 cm

1 cm 1 cm

1 cm 1 cm

1 cm 1 cm4

Number of sides = ___________________


Perimeter = _____+_____+_____+_____+

_____+_____+_____+_____ = _____ cm

8

Octagon

1

1

1 1 1

1 1 1 8

2 cm

2 cm

5 cm

5 cm

5 Number of sides = ___________________


Perimeter = _____+_____+_____+_____

= ________ cm

4

Rectangle

2 5 5 2

14

Perimeter = ____________

= ____________ cm

Perimeter = ____________

= ____________ cm

1 2

2 + 3 + 2 + 3

10

2 + 4 + 2 + 4

12

8.2 Perimeter on a Grid

Find the area of the following shapes given on the grids.2

For all pictures below, suppose the area of each square is 1 cm .

2Area = _____ x _____ = _____ cm

2Area = _____ x _____ = _____ cm4 2 8 5 1 5

2Area = _____ x _____ = _____ cm

2 Area = _____ x _____ = _____ cm8 2 16 3 2 6

36

8.3 Area

Perimeter = ____________

= ____________ cm

Perimeter = ____________

= ____________ cm

3 4

3 + 3 + 3 + 3

12

1 + 5 + 5 + 1

12

Solved ExerciseMATHEMATICS 3 - Javed Publishers

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