Download - Year 4 Maths Worksheets
1
Year Four Worksheets
200 Maths Worksheets
For Ages 8-9 years
Includes: Addition
Subtraction
Multiplication
Division
Multiplication Tables
Calculator Skills
Fractions and Decimals
Ratio and Proportion
Money
Shape
Data handling
Measuring
Number Problems
Answers are incuded
© C Diamond – Not for resale
2
Contents
Page
1. Place, value and ordering 3
2. Addition 14
3. Subtraction 31
4. Money 43
5. How are you doing? 1 50
6. Multiplication 51
7. Multiplication Tables 68
8. Division 76
9. Multiplication and Division 89
10. How are you doing? 2 97
11. Fractions and Decimals 98
12. Ratio and Proportion 121
13. Calculator Skills 125
14. Measuring 129
15. How are you doing? 3 146
16. Time 147
17. Shape 151
18. Data handling 172
19. Number Problems 189
20. How are you doing? 4 202
Answers 203
3
Place, value and ordering 1
Write the next number.
1. 1470 2. 2680
3. 2461 4. 9605
5. 9849 6. 1786
7. 8609 8. 2518
Write these numbers in words.
9. 1637_________________________________
__________________________________________
10. 8294_________________________________
__________________________________________
11. Write these numbers in ascending order.
2885 2794 2898 2749 2709
__________________________________________
__________________________________________
12. Write these numbers in descending order.
5619 5723 5732 5766 5629
__________________________________________
__________________________________________
1471
4
Place, value and ordering 2 Write the number that each blue digit represents.
1. 1482 2. 3091
3. 3382 4. 8315
5. 7298 6. 2801
7. 7483 8. 9362
Rounding the red number to the nearest 10.
9.
a. b. c. d. e.
10.
a. b. c. d. e.
11.
a. b. c. d. e.
400
80 10 20 30 40 50 60 70
a. 18 b. 32 c. 47 d. 54 e. 79
20
440 300 320 340 360 380 400 420
a. 309 b. 333 c. 357 d. 375 e. 428
790 650 670 690 710 730 750 770
a. 655 b. 688 c. 714 d. 751 e. 786
5
Place, value and ordering 3
Complete the number sequences.
1. 5, 7, 9, 11, , , , , ,
2. 20, 24, 28, , , , , ,
3. 57, 59, 61, , , , , ,
4. 35, 39, 43, , , , , ,
Practice counting in 50s. Fill in the missing numbers.
5.
6.
7.
8.
Practice counting in 25s. Fill in the missing numbers.
9.
10.
11.
12.
17
300
+ 50
350
400
50
+ 50
100
750
- 50
700
400
- 50
100
+ 25
125
150
175
350
+ 25
425
-25
550
- 25
6
Place, value and ordering 4
Complete the number sequences.
1. 4, 8, 12, , , , , ,
2. 15, 18, 21, , , , , ,
3. 10, , , , , , ,
4. -50,-45,-40, , , , , ,
5. -8, , , , , , ,
6. 6, 12 , 18, , , , , ,
7. 30, , , , , , ,
8. -20,-15,-10, , , , , ,
9. 0, , , , , , ,
10. -125,-100, , , , , ,
11. 75, 50, , , , , ,
12. -50, , , , , , ,
13. -200,-150 , , , , , ,
14. 400, 300 , , , , , ,
20 30
10 0
50 75
0
0
50
50
0
0 2
0
7
Place, value and ordering 5
Sort these numbers into odd and even sets.
56 67 23 123 200 42 96 11 6 371 945 566
odd even
Are these questions true or false?
1. An odd number plus an even number is odd.
2. An even number plus an even number is even.
3. The sum of two odd numbers is odd.
4. Even plus even plus even is odd.
5. Odd plus odd plus odd is odd.
6. The numbers on both sides of odd numbers
are even.
7. After 1 every second number is odd.
8. The unit digits of even numbers are 0,2,4,6,8.
true
8
Place, value and ordering 6
We use positive numbers such as 2, 5, 19 most of the
time. Sometimes we need negative numbers such as
-3,-5,- 11. We use negative numbers when we measure
cold temperatures with a thermometer.
This thermometer shows
This thermometer shows -3 ºC. ºC means degrees Celsius.
It is a measurement of temperature.
At 0 ºC water freezes.
Carefully read the temperatures on the thermometers.
1.
2.
3.
4.
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
0
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ºC
9
Place, value and ordering 7
Look at the thermometers and answer the questions.
1. If the thermometer drops by 4º then rises by 2º, what
will the temperature be?
2. If the thermometer drops by 4º then drops by 3º,
what will the temperature be?
3. If the thermometer rises by 3º then rises by 5º, what
will the temperature be?
4. If the thermometer rises by 3º then drops by 6º, what
will the temperature be?
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
0 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
0 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
0 ºC
___________________________________________________________
- 6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
0 ºC
10
Place, value and ordering 8
Fill in the missing numbers.
1.
2.
3.
4.
Work out these calculations.
5. -8 + 5 - 3 = 6. - 5 - 3 - 4 =
7. -6 - 5 + 4 = 8. - 9 + 3 - 2 =
9. 4 - 7 - 6 = 10. - 8 + 9 - 3 =
80 -60 -40 0 40
-150 -75 0 100
-30 -20 0 15
-66 -44 0 44 -11 11
11
Place, value and ordering 9
Write ˃,˂ or = between the numbers.
1. 8 12 2. 15 12
3. 50 40 4. 600 800
5. 67 76 6. 51 52
7. 499 499 8. 1500 1200
9. 627 726 10. 8941 8841
11. 672 762 12. 1110 1011
13. 8+7 7+6 14. 6+9 5+10
15. 9+9 6+13 16. 16+9 12+20
˃
greater than
˂
less than
=
equals
12
Place, value and ordering 10
Write these numbers in order from smallest to largest.
1. 5635 6356 3565 5356 3655
______________________________________________
2. 4023 2340 4032 2043 2430
______________________________________________
3. 8030 8300 8003 3800 3080
______________________________________________
Write ˃ or ˂ between the numbers.
4. 230 203 5. 105 150
6. 789 897 7. 634 643
8. 314 311 9. 501 499
10. 1499 1949 11. 7864 7648
12. 1237 1723 13. 2931 2913
14. 3404 3440 15. 1710 1701
16. 9897 9978 17. 3624 3642
13
Place, value and ordering 11
Write the decimal to one place that comes after these
numbers.
1. 7·2 2. 2·7
3. 3·1 4. 9·5
5. 6·9 6. 1·0
7. 8·6 8. 9·9
Order each set of decimals from smallest to largest.
9. 4·23 4·67 4·76 4·32 4·03
____________________________________________
10. 8·18 1·88 8·81 1·08 8·01
_____________________________________________
11. 6 5·99 9·59 5·95 6·95
_____________________________________________
What is the nearest whole number to these decimals?
12. 7·34 13. 2·96
14. 30·1 15. 7·52
16. 6·93 17. 1·29
18. 45·5 19. 2·09
7·3
14
Addition 1
Work out the calculations using a double that you know
to help you.
1. =
2. =
3. =
4. =
5. =
6. =
7. =
8. =
9. =
10. =
11. =
12. =
13. =
14. =
8 + 7 7 + 7 = 14 14 + 1 = 15
12 + 13
15 + 16
22 + 23
43 + 42
34 + 35
29 + 30
64 + 63
42 + 44
88 + 85
64 + 67
73 + 77
86 + 89
62 + 66
15
Addition 2
Use an empty number line to add up two numbers. Fill in
the missing numbers.
1. 74 + 57 = 74 + 6 + 50 + 1 = +6 + 50 +1
74 80 130 131
2. 17 + 29 = 17 + 3 + 20 + 9 = + + 20 +6
17 20
3. 35 + 67 =35 + 5 + 60 + 2 = + + 60 +2
35 40 4. 48 + 33 = 48 + 30 + = + + 30 +1
48 50 5. 46 + 55 = + + 50 +
46 4
16
Addition 3 Use an empty number line work out these calculations.
1. 57 + 45 = 57 + 3 + 40 + 2 = +3 + 40 +2
57 60 100
2. 68 + 83 = =
3. 146 + 57 = =
4. 145 +183 = =
5. 116 + 125 = =
17
Addition 4 Use an empty number line work out these calculations.
1. 326 + 149 = 74 + 6 + 50 + 1 = +4 + 140 +5
326 330 470
2. 274 + 103 = =
3. 145 + 143 = =
4. 348 +296 = =
5. 516 + 265 = =
18
1. 2 8
+ 1
2
6
3
9 u n i t s
n s 9
h u n d r e d s
9 9 2
Addition 5
Copy these calculations vertically. Write the answer on
one line then write out the hundreds, tens and units you
have added.
2. 105 + 73 3. 626 + 42 4. 306 + 493
9
1 3
8 6
+
2
9
t e 0
2 0 0
19
6 1. 2
+ 2 7
0 8
3. 2. 4.
3 3
7 4 8 5
9 4 +
9 2
7 3 +
9
9 8
Addition 6
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
Write the digits in the correct columns.
5. 49 + 34 6. 68 + 56 7. 86 + 44
8. 74 + 28 9. 83 + 51 10. 85 + 36
+
20
1. 6 2
+
8
2 7
1
3. 2.
3 3
7 4 3
8
5 9 2
7 3
9
9
9 0 1
1
Addition 7
Work out these calculations vertically.
1
Copy these calculations vertically on the squares below.
Write the digits in the correct columns.
4. 249 + 33 5. 268 + 56 6. 326 + 44
8. 234 + 128 9. 543 + 151 10. 485 + 236
+
0 8
1
0
0
+
21
1. 5 3
+ 3 8
1
1
8
3. 2. 4.
3 4
5 7
+
8 2
9 1 +
9 4
8 3 +
4
Addition 8
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
Write the digits in the correct columns.
5. 79 + 43 6. 48 + 46 7. 56 + 64
8. 84 + 68 9. 73 + 87 10. 85 + 97
22
1. 7 9
+ 6 4
3 4
3. 2. 4.
5 9
6 3
+
2 8
7 7 +
6 7
6 8 +
1
Addition 9
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
Write the digits in the correct columns.
5. 83 + 25 6. 88 + 93 7. 27 + 85
8. 72 + 76 9. 94 + 87 10. 75 + 58
1 1
23
2. 1. 6 2
+ 6
9 6
3 3
9
3 4
4
7
1
3. 2
Addition 10
Work out these calculations vertically. You will need to
carry either the tens or units.
Copy these calculations vertically on the squares below.
4. 247 + 72 5. 765 + 38 6. 686 + 93
7. 574 + 83 8. 283 + 66 9. 507 + 88
10. 607 + 98 11. 378 + 28 12. 776 + 73
4
+
5
1
3 7
+
24
1. 2 4
+ 3
2.
6 7
3
3 4
1
9
1
3. 6
1 1 3
Addition 11
Work out these calculations vertically. You will need to
carry either the tens or units.
Copy these calculations vertically on the squares below.
4. 256 + 171 5. 435 + 236 6. 362 + 186
7. 483 + 163 8. 157 + 309 9. 282 + 696
10. 303 + 208 11. 246 + 227 12. 774 + 144
7 3
3
+
2
0
4 2
+
25
Addition 12
Find the missing numbers that add up to 100. 1. + =
2. + =
3. + =
4. + =
5. + =
6. + =
7. + =
8. + =
9. + =
10. + =
62 100
51
86
24
92
100
100 37
100
100 75
100
59 100
100
66 100
48
100
26
Addition 13
Find the missing numbers that add up to 1000. 1. + =
2. + =
3. + =
4. + =
5. + =
6. + =
7. + =
8. + =
9. + =
10. + =
650 1000
210
990
220
910
1000
1000 350
1000
1000 780
1000
750 1000
1000
640 1000
580
1000
27
Addition 14
Add these two digit numbers.
Start with the tens then add up the units.
1. 16 + 13 = 2. 15 + 13 =
3. 23 + 16 = 4. 12 + 11 =
5. 17 + 12 = 6. 14 + 12 =
7. 24 + 14 = 8. 26 + 13 =
9. 24 + 15 = 10. 21 + 25 =
11. 24 + 10 = 12. 16 + 14 =
13. 18 + 11 = 14. 13 + 26 =
15. 14 + 32 = 16. 34 + 22 =
17. 23 + 15 = 18. 21 + 19 =
19. 22 + 25 = 20. 23 + 15 =
21. 29 + 21 = 22. 33 + 26 =
23. 34 + 35 = 24. 43 + 32 =
25. 36 + 23 = 26. 41 + 38 =
28
1. 1 3
+ 7
1 3
2.
2 6
2 3 6
5 2
8
7
5
1
4 3. 4 1
1
1
1 2
Addition 15
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
4. 109 + 143 5. 326 + 135 6. 277 + 184
7. 206 + 233 8. 255 + 243 9. 409 + 273
10. 607 + 98 11. 378 + 284 12. 279 + 376
+ +
29
1. 5 7
+ 6
4 0
2.
2 6
2
+
3 7
2 7
9
3
2
1
4 3. 1 4
4
1
1 2
1
1
2 3 1
Addition 16
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
4. 523 + 236 5. 791 + 357 6. 609 + 827
7. 484 + 727 8. 863 + 355 9. 719 + 464
10. 107 + 98 + 127 11. 321 + 284 +78 12. 273 + 253 + 123
+
30
Addition 17
Here is an addition table with some missing
numbers.
Fill in the missing numbers.
+ 20 25 30 35 40 45 50 55 60 65
20 45 60
25
30
35 60
40
45 75
50
55 90
60
65 110
Work out these addition sums.
1. 20+ 50 = 2. + 70 = 180
3. 150 + = 290 4. + 80 = 170
5. 80 + = 155 6. 70 + 45 =
7. 90 + 80 = 8. 160 + 190 =
9. 75 + 65 = 10. + 85 = 120
31
Subtraction 1
Use an empty number line to work out the subtraction
calculations.
1. 64 - 26 = 4 + 30 + 4 = +4 + 30 +4
26 30 60 64
2. 82 - 37 = 3 + 40 + 2 = + + 40 +2
37 40 80
3. 65 - 29 = 1 + 30 + = + +30 +
29 4. 68 - 23 = 7 + + =
+ + +
23 30 5. 49 - 25 = + + +
46
32
Subtraction 2
Use an empty number line to work out the subtraction
calculations.
1. 76 - 48 = 2 + 20 + 6 = +2 + 20 +6
48 50 70 76
2. 75 – 34 = =
3. 165 - 38 = =
4. 268 - 97 = =
5. 342 - 225 = =
33
Subtraction 3
Find the difference between two numbers.
Use an empty number line to work out the difference.
1. 106, 97 the difference is +3 +6
97 100 106
2. 295, 314 the difference is + 5 +14
295
3. 277, 318 the difference is
4. 498, 512 the difference is
5. 765, 412 the difference is
34
1.
.
6 1 3
- 3 6
1 0
0
+ 5 0 + 3 1
3 0 + 6
1 0 2 0
-
7
-
= 1 2 7
2.
.
1 7 4
0
4 9
=
3.
. 2 3 7
1 5 5
4.
.
5 2 6
3 7 4
-
-
3
3
6
3
=
=
Subtraction 4
Work out these subtraction calculations vertically. Then
partition the numbers and work out the answer. Adjust
the tens or units if they cannot be subtracted.
35
1.
.
4 6 9
- 7 8
5 0
0
+ 1 4 0 +
7 0 8
5 0 7 1
-
= 5 7 1
2.
.
4 6 2
0
3 5
3.
. 7 5 8
5 8 5
4.
.
8 6 2
7 4 7
9
+
0
3
=
=
Subtraction 5
Work out these subtraction calculations vertically. Then
partition the numbers and work out the answer. Adjust
the tens or units if they cannot be subtracted.
-
=
36
1. 8 6
+ 5 4
2 3
3. 4. 2.
3 5
8 8
-
7 5
4 -
9
2 8 - -
Subtraction 6
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
5. 69 - 56 6. 48 - 36 7. 75 - 24
8. 374 - 53 9. 483 - 42 10. 685 - 13
11. 887 - 46 12. 979 - 63 13. 949 - 30
2
5
37
1. 3
+ 3
2 6
3. 2. 4.
3 5
- 5
7 4
-
9 8
-
4
-
8 1 3
5
4 8
3
4
0
7 4
Subtraction 7
Work out these calculations vertically. Change the unit
digits.
Copy these calculations vertically on the squares below.
5. 667 - 59 6. 244 - 28 7. 596 - 58
8. 474 - 38 9. 673 - 45 10. 985 - 67
11. 654 - 76 12. 862 - 28 13. 763 - 48
4 1
38
1.
+ 4 4
7 7
3. 2. 4.
6 3
- 6
4 8
-
6 7
-
9
-
2 7 3
7
8 3
6
4
8
9 4
Subtraction 8
Work out these calculations vertically. Change the tens
digits.
Copy these calculations vertically on the squares below.
5. 249 - 63 6. 354 - 81 7. 315 - 83
8. 538 - 77 9. 228 - 46 10. 985 - 67
11. 717 - 76 12. 359 - 78 13. 928 - 76
3
1
39
1. 3 5
+ 0
4 1
2.
6 0
5
-
7 7
5 4
6
9
7
2 3. 4 3
2 2 2 - -
4 16
Subtraction 9
Work out these calculations vertically.
Copy these calculations vertically on the squares below.
4. 643 - 421 5. 354 - 263 6. 431 - 280
7. 972 - 281 8. 653 - 426 9. 427 - 244
10. 503 - 211 11. 923 - 607 12. 626 - 382
40
Subtraction 10
Here is an subtraction table with some missing
numbers.
Fill in the missing numbers.
- 50 45 40 35 30 25 20 15 10 5
500 450 470
450
400 355
350
300
250 215
200
150
100
50 25
Work out these subtraction sums.
1. 200 - 50 = 2. - 60 = 300
3. 400 - = 150 4. - 80 = 200
5. 1300 - = 400 6. 900 - 500 =
7. 2000 - 80 = 8. 500 - 190 =
9. 1300 - 60 = 10. - 700 = 200
41
Subtraction 11
Find the missing numbers. 1. - =
2. - =
3. - =
4. - =
5. - =
6. - =
7. - =
8. - =
9. - =
10. - =
500 300
850
740
670
935
150
600 350
680
240 320
550
610 150
125
640 350
580
240
42
Subtraction 12
Write these calculations vertically, and then work out the
answers.
1. 445 - 324
2. 456 - 238
3. 892 - 364
4. 484 - 357
5. 371 - 126
6. 569 - 287
7. 753 - 272
8. 724 - 536
9. 453 - 366
10. 561 - 293
43
Money 1
Write the total in the box.
1. 2.
£17·55
3. 4.
5. 6.
7. 8.
9. 10.
£5 £10
5p
£5
10p
£10 10p
2p
50p
1p 5p
£5
5p 1p
£10
50p
£20
£10 10p 1p
£20
£10 10p 2p
£20 £10 1p
£5
1p
50p
1p
£2 2p 1p
20p
£2 £2
£2
£1 £1 £1
10p 10p
2p
£2
£1
£1
20p
£2 £1
£2
5p
£1
2p
£2 £1 10p
1p
44
Money 2
Round the money to the nearest 10p then to the nearest
1. 673p =
2. 835p =
3. 569p =
4. 774p =
Round the price of the food to the nearest 10p.
Then to the nearest £.
5.
6.
7.
8.
100p.
670p 700p
£1·67 £1·70 £
£1·42 £ £
£6·50
£ £
£3·94 £ £
45
Money 3
Use the prices to answer the ice cream parlour problems.
1. Sue buys a lolly and a milkshake. How much does
she spend? _______________________________
2. Max has £5 to spend. He buys a sundae. How much
does he have left?____________________________
3. Tina wants to buy a cone and an orange drink. How
much does she need?_________________________
4. Mum buys two coffees and a lolly. How much
change does she get from a £10 note?
________________________________________
5. Jo buys two drinks and spends £2·90. What were the
two drinks? ____________ ______________
6. There are seven people in a family and they all order
a different item from the menu. How much do they
spend? __________________________________
Cone
£1·20
Lolly
£1·15
Sundae
£3·50
Coffee
1·05p
Orange
1·75p
Cola
75p
Milkshake
2·15p
46
Money 4
Add up the prices.
1. £5·45 2. £5·89 3. £2·96
4. £3·82 5. £7·67 6. £5·87
Subtract the second price.
7. £6·89 8. £9·78 9. £2·96
10. 11. 12.
£5·76 £8·37 £8·09
13. 14. 15.
£7·84 £4·79 £6·16
16. 17. 18.
£7·96 £9·46 £6·39
Money 5
+ £2·96 + £3·38 + £3·38
+ £3·59 + £6·19 + £6·88
- £6·46 - £4·36 - £1·34
- £4·47 - £4·29 - £4·46
- £1·86 - £4·35 - £3·09
- £8·17 - £4·29 - £4·86
47
Work out the answer to these word problems.
1. June needs £200 but only has £128.
How much more does she need?
_________________________________________
2. I want to buy a games system costing £120.
The price went down in a sale by £8.
How much does it cost now?
_________________________________________
3. Jeff and Paul sorted their money into piles.
Together they have £6·50. Jeff has £3·30 in his pile.
How much does Paul have in his pile?
__________________________________________
4. Sarah earned £7 on Friday and £8 on Saturday.
Gran gave her some money on Sunday.
She now has £21.
How much did Gran give her?
_________________________________________
5. James has £159 in the bank and £23 in his piggy
bank. He takes £34 from the bank and spends it.
How much money does he have left altogether?
__________________________________________
6. Mum bought a coat costing £37 and a bag costing
£29. She also bought some shoes.
Mum spent £94 altogether.
How much did the shoes cost?
__________________________________________
48
Money 6
Write these calculations vertically, and then work out the
answers.
1. £4·73 + £6·25
2. £11·56 + £6·93
3. £24·67 + £12·19
4. £72·08 + £6·98
5. £102·23 + £34·67
6. £47·17 + £38·68
7. £56·09 + £24·17
8. £20·77 + £19·66
9. £34·34 + £56·57
10. £123·25 + £324·97
49
Money 7
Write these calculations vertically, and then work out the
answers.
1. £12·83 - £5·21
2. £28·96 - £7·93
3. £44·69 - £13·27
4. £53·28 - £11·06
5. £327·86 - £114·65
6. £37·63 - £15·46
7. £36·49 - £24·57
8. £80·97 - £25·38
9. £54·29 - £21·57
10. £125·95 - £94·76
50
How are you doing? 1
1. Put these numbers in order smallest first.
5783 4875 3758 4783 3857
______ ______ ______ ______ _______
2. Write ˃ or ˂ between the numbers.
a. 130 145 b. 205 199
3. Work out the answers.
a. 367 b. 629 c. 935 d. 357
+ 42 + 47 + 84 + 45
e. 259 f. 439 g. 476 h. 408
- 35 - 56 - 48 - 52
4. Write these in pounds.
a. 856p ______ b. 409p _____ c. 67p _____
Work out these calculations.
5. -7 + 6 - 3 = 6. - 4 - 5 - 3 =
Fill in the missing numbers.
7.
725
- 25
700
51
Multiplication 1
Write two matching multiplication facts and addition facts
for each pattern.
3 × 4 = 12
4 + 4+ 4 = 12
3+ 3+3+3 = 12
4 × 3 = 12
1. __________________________
__________________________
__________________________
__________________________
__________________________
2. __________________________
__________________________
__________________________
__________________________
3. __________________________
__________________________
__________________________
__________________________
4. __________________________
__________________________
__________________________
52
Multiplication 2
Write two matching multiplication facts and division facts
for each pattern.
3 × 5 = 15
5 × 3 = 15
15÷5 = 3
15÷3 = 5
1. __________________________
__________________________
__________________________
__________________________
__________________________
2. __________________________
__________________________
__________________________
__________________________
3. __________________________
__________________________
__________________________
__________________________
4. __________________________
__________________________
__________________________
53
Multiplication 3
Double the number that is inside the coloured star.
Write an addition and multiplication fact for each.
1. 40 + 40 = 80
2 × 40 = 80
2. + =
× =
3. + =
× =
4. + =
× =
5. + =
× =
40 80
8
12
30
16
54
Multiplication 4
When we multiply large numbers we can use the grid
method.
Example
4 × 24 =
20 4 80
× 4 = + 16
96
Fill in the gaps. Complete each multiplication.
1. 5 × 25 =
25 5 125
+
×5 =
2. 3 × 49
40 9
+
×3 =
3. 4 × 18 =
10 8
+
×4 =
16 80
25
55
Multiplication 5
Multiply these numbers using the grid method.
Fill in the gaps. Complete each multiplication.
1. 3 × 26 =
20 6 60
+
×3 =
2. 4 × 29
20 9
+
×4 =
3. 5 × 13 =
10 3
+
×5 =
4. 3 × 53 =
50 3
+
×3 =
5. 5 × 28 =
20 8
+
×5 =
56
Multiplication 6
When we multiply large numbers we can lay them out
like this.
25
× 8
25 × 8 is the same as (20 +5) × 8= (20×8) + (5×8)
20 5 25
× 8 + × 8 × 8
160 40 160 (20×8)
+ 40 ( 5×8)
200 (25×8)
______________________________________________
Fill in the gaps. Complete each multiplication.
1. 16 2. 19 3. 23
× 7 × 6 × 4
(10×7) (10×6) (20×4)
( 6×7) ( 9×6) ( 3×4)
112 (16×7) (19×6) (23×4)
4. 18 5. 26 6. 28
× 5 × 4 × 6
(10×5) (20×4) (20×6)
( 8×5) ( 6×4) ( 8×6)
(18×4) (26×4) (28×6)
57
Multiplication 7
Fill in the gaps. Complete each multiplication.
1. 19 2. 24 3. 13
× 5 × 6 × 8
(10×5) (20×6) (10×8)
( 9×5) ( 4×6) ( 3×8)
95 (19×5) (24×6) (13×8)
4. 25 5. 32 6. 17
× 9 × 3 × 9
(20×9) (30×3) (10×9)
( 5×9) ( 2×3) ( 7×9)
(25×9) (32×3) (17x9)
7. 45 8. 33 9. 27
× 3 × 4 × 6
(40×3) (30×4) (20×6)
( 5×3) ( 3×4) ( 7×6)
(45×3) (33×4) (27×6)
10. 36 11. 39 12. 47
× 4 × 5 × 6
(30×4) (30×5) (40×6)
( 6×4) ( 9×5) ( 7×6)
(36×4) (39×5) (47×6)
58
Multiplication 8
Fill in the gaps. Complete each multiplication.
1. 29 2. 31 3. 43
× 3 × 4 × 4
(20×3) (30×4) (40×4)
( 9×3) ( 1×4) ( 3×4)
87 (29×3) (31×4) (43×4)
4. 15 5. 22 6. 28
× 6 × 6 × 3
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
7. 42 8. 24 9. 52
× 5 × 4 × 3
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
10. 53 11. 37 12. 33
× 6 × 9 × 6
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
59
Multiplication 9
Use a standard method of multiplication.
Example
36 × 4 = 36
× 4
144 1 2
Fill in the gaps. Complete each multiplication.
1. 26 2. 34 3. 28
× 3 × 2 × 2
78 1
4. 21 5. 16 6. 28
× 4 × 5 × 4
7. 27 8. 34 9. 35
× 3 × 5 × 6
10. 52 11. 34 12. 37
× 3 × 4 × 5
60
Multiplication 10
Use a standard method of multiplication.
Example
42 × 6 = 42
× 6
252 2 1
Fill in the gaps. Complete each multiplication.
1. 47 2. 46 3. 37
× 4 × 4 × 5
188 2
4. 29 5. 26 6. 48
× 6 × 7 × 5
7. 36 8. 35 9. 46
× 8 × 9 × 6
10. 58 11. 49 12. 67
× 6 × 8 × 6
61
Multiplication 11
Write down the multiple of 25 that comes before these
numbers.
1. 250 2. 300
3. 425 4. 175
Write down the multiple of 25 that comes after these
numbers.
5. 175 6. 250
7. Write 4 multiples of 25 that are also multiples of
8. Write 4 multiples of 25 between 300 and 500.
9. Write 3 multiples of 25 that add up to 325.
10. Write 4 multiples of 25 that are also multiples of 50.
225
100.
62
Multiplication 12
Multiply each number by 10.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. A bag of marbles contains 10 marbles.
How many bags can be filled?
a. 60 marbles
b. 320 marbles
c. 2030 marbles
30 70
120 240
310 720
122 514
2900 2102
3000 2458
63
Multiplication 13
A. Choose a number from each box to make different
multiplication number sentences.
1. 7 × 5 = 2. _____________
3. ______________ 4. _____________
5. ______________ 6. _____________
7. ______________ 8. _____________
9. ______________ 10. _____________
B. Choose a number from each box to make different
multiplication number sentences.
1. 9 × 4 = 2. _____________
3. ______________ 4. _____________
5. ______________ 6. _____________
7. ______________ 8. _____________
9. ______________ 10. _____________
4 2 7
8 5 1 10 2 3
4 5
35
36
3 5 7
9 10 12 4 6
8 2
64
Multiplication 14
Use the partitioning method of multiplication.
Example
67 × 4 = (60 × 4) + (7 × 4)
= 240 + 28
= 268
Fill in the gaps. Complete each multiplication.
1. 43 × 3 = ( × 3) + ( × 3)
= 120 +
= 129
2. 34 × 4 = ( × ) + ( × )
=
=
3. 65 × 5 = ( × ) + ( × )
=
=
4. 47 × 3 = ( × ) + ( × )
=
=
5. 59 × 4 = ( × ) + ( × )
=
=
6. 67 × 3 = ( × ) + ( × )
=
=
65
Multiplication 15
Use the partitioning method of multiplication.
Fill in the gaps. Complete each multiplication.
1. 59 × 6 = ( × 6) + ( × 6)
= 300 +
= 354
2. 46 × 3 = ( × ) + ( × )
=
=
3. 27 × 6 = ( × ) + ( × )
=
=
4. 69 × 3 = ( × ) + ( × )
=
=
5. 78 × 4 = ( × ) + ( × )
=
=
6. 84 × 6 = ( × ) + ( × )
=
=
7. 93 × 5 = ( × ) + ( × )
=
=
66
Multiplication 16
Use the partitioning method of multiplication.
Fill in the gaps. Complete each multiplication.
1. 87 × 8 = ( × 8) + ( × 8)
= 640 +
= 696
2. 73 × 5 = ( × ) + ( × )
=
=
3. 56 × 9 = ( × ) + ( × )
=
=
4. 68 × 7 = ( × ) + ( × )
=
=
5. 95 × 8 = ( × ) + ( × )
=
=
6. 78 × 7 = ( × ) + ( × )
=
=
7. 94 × 9 = ( × ) + ( × )
=
=
67
Multiplication 17
Double each of these numbers.
1. 36 ______ 2, 53 ______
3. 70 ______ 4. 38 ______
5. 64 ______ 6. 27 ______
7. 91 ______ 8. 82 ______
Underline the multiples of 100.
9. 300 450 1200 3400 560 1900 600
10. 890 349 2500 234 220 1560 3400
11. 780 4500 2400 140 600 5600 3450
Double each of these numbers.
12. 240 ______ 13. 620 ______
14. 560 ______ 15. 470 ______
16. 930 ______ 17. 880 ______
18. 1200 ______ 19. 2400 ______
20. 4500 ______ 21. 3600 ______
22. 2800 ______ 23. 1600 ______
68
Multiplication Tables 1
× 0 1 2 3 4 5 6 7 8 9 10 11 12
2 0 2 4 6 8 10 12 14 16 18 20 22 24
3 0 3 6 9 12 15 18 21 24 27 30 33 36
4 0 4 8 12 16 20 24 28 32 36 40 44 48
6 0 6 12 18 24 30 36 42 48 54 60 66 72
8 0 8 16 24 32 40 48 56 64 72 80 88 96
Use the multiplication grid to practice these
multiplication and division questions.
1. 3×9 =___ 2. 6×5 =___ 3. 8×9 =___
4. 6×6 =___ 5. 12×4 = ___ 6. 7×8 =___
7. 8×___ = 88 8. 3×___= 36 9. 6×___= 72
10. ___×4 = 36 11. ___×6 = 42 12. ___×8 = 64
13. 8×___ = 32 14. 6×___= 18 15. 6×___= 12
16. ___×8 = 80 17. ___×6 = 54 18. ___×6 = 36
19. 24÷2 =___ 20. 32÷4 =___ 21. 33÷3 =___
22. 72÷___ = 6 23. 30÷___= 5 24. 54÷___= 9
25. ___÷10 = 8 26. ___÷8 = 6 27. ___÷12 = 6
69
Multiplication Tables 2
Answer these multiplication and division questions.
1. 1×6 =___ 2. 3×3 =___ 3. 5×4 =___
4. 6×4 =___ 5. 12×2 = ___ 6. 11×3 =___
7. 4×___ = 8 8. 3×___= 15 9. 6×___= 30
10. ___×3 = 24 11. ___×9 = 27 12. ___×8 = 0
13. 6×___ = 6 14. 2×___= 4 15. 6×___= 18
16. 3×4 =___ 17. 5×5 =___ 18. 8×10 =___
19. 5×6 =___ 20. 8×7 = ___ 21. 6×8 =___
22. 8×___ = 16 23. 4×___= 44 24. 5×___= 40
25. ___×4 = 36 26. ___×7 = 42 27. ___×8 = 72
28. 6×___ = 72 29. 8×___= 64 30. 11×___= 88
31. ___÷3 = 4 32. ___÷4 = 6 33. ___÷6 = 5
34. 80÷10 =___ 35. 36÷3 =___ 36. 42÷6 =___
37. 60÷___ = 10 38. 48÷___= 6 39. 72÷___= 12
40. ___÷11 = 4 41. ___÷4 = 4 42. ___÷6 = 9
70
Multiplication Tables 3
× 0 1 2 3 4 5 6 7 8 9 10 11 12
3 0 3 6 9 12 15 18 21 24 27 30 33 36
4 0 4 8 12 16 20 24 28 32 36 40 44 48
6 0 6 12 18 24 30 36 42 48 54 60 66 72
8 0 8 16 24 32 40 48 56 64 72 80 88 96
9 0 9 18 27 36 45 54 63 72 81 90 99 108
Use the multiplication grid to practice these
multiplication and division questions.
1. 2×9 =___ 2. 6×3 =___ 3. 7×9 =___
4. 4×4 =___ 5. 12×3 = ___ 6. 9×9 =___
7. 3×___ = 33 8. 8×___= 64 9. 6×___= 42
10. ___×4 = 20 11. ___×6 = 54 12. ___×9 = 108
13. 11×___ = 99 14. 8×___= 24 15. 9×___= 45
16. ___×9 = 72 17. ___×8 = 88 18. ___×7 = 28
19. 36÷3 =___ 20. 63÷7 =___ 21. 48÷4 =___
22. 108÷___ = 9 23. 36÷___= 6 24. 27÷___= 9
25. ___÷11 = 8 26. ___÷8 = 4 27. ___÷12 = 8
71
Multiplication Tables 4
Answer these multiplication and division questions.
1. 3×5 =___ 2. 2×8 =___ 3. 5×6 =___
4. 9×4 =___ 5. 11×6 = ___ 6. 10×9 =___
7. 1×0 = ___ 8. 6×___= 12 9. 7×___= 21
10. ___×8 = 32 11. ___×6 = 48 12. ___×9 = 63
13. 8×___ = 8 14. 2×___= 18 15. 3×___= 21
16. 3×3 =___ 17. 8×4 =___ 18. 9×5 =___
19. 8×7 =___ 20. 9×6 = ___ 21. 9×9 =___
22. 6×___ = 72 23. 4×___= 24 24. 5×___= 45
25. ___×9 = 108 26. ___×8 = 64 27. ___×11 = 88
28. 8×___ = 40 29. 9×___= 72 30. 7×___= 63
31. ___÷4 = 4 32. ___÷4 = 5 33. ___÷6 = 10
34. 90÷10 =___ 35. 48÷4 =___ 36. 45÷9 =___
37. 108÷___ = 9 38. 56÷___= 8 39. 72÷___= 8
40. ___÷11 = 6 41. ___÷9 = 9 42. ___÷4 = 9
72
Multiplication Tables 5
× 0 1 2 3 4 5 6 7 8 9 10 11 12
3 0 3 6 9 12 15 18 21 24 27 30 33 36
4 0 4 8 12 16 20 24 28 32 36 40 44 48
6 0 6 12 18 24 30 36 42 48 54 60 66 72
7 0 7 14 21 28 35 42 49 56 63 70 77 84
8 0 9 16 24 32 40 48 56 64 72 80 88 96
9 0 9 18 27 36 45 54 63 72 81 90 99 108
Use the multiplication grid to practice these
multiplication and division questions.
1. 3×6 =___ 2. 7×2 =___ 3. 6×8 =___
4. 6×6 =___ 5. 8×9 = ___ 6. 7×7 =___
7. 3×___ = 24 8. 7×___= 42 9. 6×___= 54
10. ___×6 = 12 11. ___×8 = 64 12. ___×9 = 99
13. 12×___ = 72 14. 6×___= 36 15. 7×___= 35
16. ___×9 = 81 17. ___×9 = 63 18. ___×6 = 36
19. 88÷8 =___ 20. 56÷7 =___ 21. 96÷8 =___
22. 96÷___ = 8 23. 32÷___= 8 24. 66÷___= 6
25. ___÷7 = 7 26. ___÷3 = 12 27. ___÷7 = 8
73
Multiplication Tables 6
Answer these multiplication and division questions.
1. 4×7 =___ 2. 3×6 =___ 3. 2×9 =___
4. 8×4 =___ 5. 9×3 = ___ 6. 11×7 =___
7. 9×10 = ___ 8. 8×___= 48 9. 2×___= 24
10. ___×3 = 9 11. ___×5 = 0 12. ___×7 = 14
13. 8×___ = 64 14. 5×___= 35 15. 3×___= 33
16. 7×7 =___ 17. 9×6 =___ 18. 7×4 =___
19. 9×4 =___ 20. 7×6 = ___ 21. 8×12 =___
22. 7×___ = 77 23. 9×___= 108 24. 5×___= 25
25. ___×4 = 24 26. ___×9 = 63 27. ___×12 = 36
28. 7×___ = 56 29. 9×___= 81 30. 9×___= 99
31. ___÷6 = 4 32. ___÷2 = 11 33. ___÷6 = 6
34. 42÷6 =___ 35. 72÷9 =___ 36. 56÷7 =___
37. 30÷___ = 5 38. 49÷___= 7 39. 35÷___= 7
40. ___÷12 = 6 41. ___÷8 = 11 42. ___÷8 = 6
74
Multiplication Tables 7
× 0 1 2 3 4 5 6 7 8 9 10 11 12
6 0 6 12 18 24 30 36 42 48 54 60 66 72
7 0 7 14 21 28 35 42 49 56 63 70 77 84
8 0 8 16 24 32 40 48 56 64 72 80 88 96
9 0 9 18 27 36 45 54 63 72 81 90 99 108
11 0 11 22 33 44 55 66 77 88 99 110 121 132
12 0 12 24 36 48 60 72 84 96 108 120 132 144
Use the multiplication grid to practice these
multiplication and division questions.
1. 6×7 =___ 2. 9×9 =___ 3. 12×8 =___
4. 6×9 =___ 5. 11×11 = ___ 6. 12×12 =___
7. 5×___ = 60 8. 9×___= 56 9. 6×___= 48
10. ___×12 = 24 11. ___×10 =110 12. ___×8 = 40
13. 12×___ = 96 14. 6×___= 42 15. 12×___=132
16. ___×8 = 48 17. ___×3 = 36 18. ___×9 = 36
19. 49÷7 =___ 20. 108÷9 =___ 21. 72÷9 =___
22. 54÷___ = 9 23. 144÷___=12 24. 32÷___= 4
25. ___÷11 =11 26. ___÷8 = 12 27. ___÷12 = 7
75
Multiplication Tables 8
Answer these multiplication and division questions.
1. 6×7 =___ 2. 5×9 =___ 3. 11×11 =___
4. 8×6 =___ 5. 9×7 = ___ 6. 12×4 =___
7. 7×7 = ___ 8. 12×___=144 9. 8×___= 72
10. ___×3 = 24 11. ___×6 = 48 12. ___×3 = 36
13. 5×___ = 25 14. 9×___= 63 15. 4×___= 32
16. 12×11 =___ 17. 9×5 =___ 18. 8×8 =___
19. 10×11 =___ 20. 6×6 = ___ 21. 9×12 =___
22. 6×___ = 66 23. 7×___= 49 24. 8×___= 48
25. ___×9 = 27 26. ___×4 = 16 27. ___×12 = 24
28. 6×___ = 72 29. 9×___= 54 30. 7×___= 56
31. ___÷8 = 4 32. ___÷11 = 5 33. ___÷9 = 9
34. 144÷12 =___ 35. 72÷8 =___ 36. 56÷7 =___
37. 28÷___ = 4 38. 81÷___= 9 39. 132÷___=12
40. ___÷6 =11 41. ___÷11 =11 42. ___÷12 = 9
76
Division 1
Write an answer to each division calculation.
A.
1. 21 ÷ 3 = 2. 18 ÷ 3 =
3. 24 ÷ 3 = 4. 15 ÷ 3 =
5. 30 ÷ 5 = 6. 40 ÷ 4 =
7. 36 ÷ 4 = 8. 60 ÷ 5 =
9. 28 ÷ 4 = 10. 24 ÷ 4 =
Now try these.
B.
1. 24 ÷ 2 = 2. 46 ÷ 2 =
3. 55 ÷ 5 = 4. 66 ÷ 3 =
5. 88 ÷ 4 = 6. 75 ÷ 5 =
7. 68 ÷ 2 = 8. 54 ÷ 2 =
9. 69 ÷ 3 = 10. 64 ÷ 4 =
77
Division 2
Write an answer to each division calculation. They will
not divide exactly.
Example 14 ÷ 4 = 3 remainder 2
= 3 r 2
A.
1. 15 ÷ 2 = 2. 18 ÷ 4 =
3. 84 ÷10 = 4. 19 ÷ 3 =
5. 42 ÷ 5 = 6. 25 ÷ 4 =
7. 39 ÷ 4 = 8. 99 ÷10 =
9. 53 ÷ 5 = 10. 37 ÷ 4 =
Now try these.
B.
1. 72 ÷ 5 = 2. 78 ÷ 4 =
3. 81 ÷ 5 = 4. 67 ÷ 3 =
5. 89 ÷ 2 = 6. 77 ÷10 =
C.
Halve these numbers
1. 62 = 2. 74 = 3. 92 =
78
Division 3
There are several methods of working out a division
problem.
Such as 55÷4
Method 1 uses multiples of the divisor (for example
multiples of 4)
55 ÷ 4 = (40 +15) ÷ 4 = 10 + 3 with a remainder of 3
= 13 r 3
Try these using this method.
1. 27 ÷ 5 = ( 2__ + ___) ÷ 5 = ___+__remainder___
= ____ r ____
2. 46 ÷ 4 = ( 40 + ___) ÷ ___= ___+__remainder___
= ____r ____
3. 23 ÷ 3 = ( 18 + ___) ÷ ___= ___+__remainder___
= ____ r ____
4. 57 ÷ 4 = ( 40 + ___) ÷___ = ___+ __remainder___
= ____r ____
5. 38 ÷ 3 =
6. 49 ÷ 4 =
79
Division 4
Practice using Method 1.
Example
73 ÷ 6 = ( 60 +13) ÷ 6 = 10 + 2 with a remainder of 1
= 12 r 1
Try these using this method.
1. 68 ÷ 5 = ( 50 + ___ ) ÷ 5 = ___ +__remainder___
= ____ r ____
2. 59 ÷ 4 = ( 40 + ___ ) ÷ ___ = ___+__remainder___
= ____r ____
3. 37 ÷ 3 = ( 3__ + ___) ÷ ___= ___+__remainder___
= ____ r ____
4. 97 ÷8 =
5. 86 ÷ 7 =
6. 79 ÷ 6 =
7. 69 ÷ 4 =
80
Division 5
Method 2 to work out 57 ÷ 4
Lay out the sum in a more conventional manner, firstly
take away a tens multiple of the divisor (4 in this case).
4) 57
- 40 (10 × 4)
17
- 16 ( 4 × 4)
1
The answer to 57 ÷ 4 is therefore 14 remainder 1
1. 78 ÷ 5 = 5) 78
- 50 (10 × __)
28
- 25 ( 5× __)
__ The answer is ___r____
2. 94 ÷ 6 = 6) 94
- 60 ( __× __)
34
- 30 (__ × __)
__ The answer is___r____
3. 66 ÷ 5 = 5) 66
The answer is___r____
81
Division 6
Use Method 2 to work out 97 ÷ 6
Estimate your answer first.
1. Estimate 96 ÷ 6 = 16
6) 97
- 60 (10 × __)
37
- 36 ( __× __)
1
The answer to 97 ÷ 4 is therefore ___ remainder __
2. 63 ÷ 5 = 5) 63 Estimate 60 ÷ 5 = 12
- 50 (10 × __)
- 10 ( __× __)
__
The answer is __ remainder ___
3. 76 ÷ 6 = 6) 76 Estimate___________
- ( __× __)
16
- 12 (__ × __)
___
The answer is __ r ___
Try
4. 74 ÷ 7 5. 82 ÷ 5 6. 91 ÷ 6
82
Division 7
Use Method 2 to work out 93 ÷ 8
1. Estimate 88 ÷ 8 =11
8) 93
- 80 (10 × __)
13
- 8 ( __× __)
5
The answer to 93 ÷ 8 is therefore ___ remainder __
2. 87 ÷ 4 = 4) 87 Estimate 80 ÷ 4 =
- 80 (20 × __)
- 4 ( × )
The answer is ______ is therefore___ remainder ___
3. 99 ÷ 4 = 4) 99 Estimate 100 ÷ 4 =
The answer is __ r ___
Try
4. 64 ÷ 3 5. 56 ÷ 9 6. 78 ÷ 7
83
Division 8
Use Method 2 to work out 70 ÷ 6
1. Estimate 66 ÷ 6 =11
6) 70
- 60 (10 × __)
10
- 6 ( __× __)
4
The answer to 70 ÷ 6 is therefore ___ remainder __
2. 77 ÷ 8 = 8) 77 Estimate 72 ÷ 8 =
- 72 (9 × __)
The answer is __ remainder ___
3. 58 ÷ 9 = 9) 58 Estimate 54 ÷ 9 =
The answer is __ r ___
Try
4. 77 ÷ 6 5. 84 ÷ 9 6. 99 ÷ 7
84
Division 9
Find half of these numbers and amounts.
Divide by 2.
1. £120 2. 40mm
3. 160 4. 44
5. £46 6. 70km
7. 28 8. 400g
Find a quarter of these numbers and amounts.
Divide by 4. You can find half first then halve it again.
9. 32
10. 100g
11. £60
12. 36
13. 64m
14. 400
15. 72
16. 44
17. 60km
£60
half of 32 = 16 , half of 16 = 8
85
Division 10
A.
Divide each number by 10.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
Write the value of the red digits.
B.
1. four hundred 2. _______________
3. ________________ 4. _______________
5. ________________ 6. _______________
7. ________________ 8. _______________
9. ________________ 10. _______________
400 40 710
140 290
320 7200
1220 5140
2900 4200
86
Division 11
Look at each division calculation.
Write the multiplication fact that you can think of to
answer the calculation.
Write the calculation and any remainders.
1. 47 ÷ 5 = 9 × 5 = 45, 47 ÷ 5 = 9 r 2
2. 35 ÷ 6 = ______________________________
3. 67 ÷10= ______________________________
4. 17 ÷ 4 = ______________________________
5. 26 ÷ 3 = ______________________________
6. 78 ÷10= ______________________________
7. 15 ÷ 4 = ______________________________
8. 37 ÷ 6 = ______________________________
Find the missing number to make each calculation
correct.
9. 43 = (6 × 7) + ___ 10. 64 = (6 × 10) + ___
11. 78 = ( 5 × 15) + ___ 12. 647 = ( 6 × 100) + ___
13. 17 = (4 × 4) + ____ 14. 48 = (9 × 5) + ___
15. 27 = (8 × 3) + ____ 16. 46 = (6 × 7) + ____
87
Division 12
Answer these division calculations.
Some have remainders.
1. 30 ÷ 5 = ______________________
2. 68 ÷ 10 = ______________________
3. 23 ÷ 7 = ______________________
4. 34 ÷ 4 = ______________________
5. 18 ÷ 3 = ______________________
6. 36 ÷ 6 = ______________________
7. 29 ÷ 4 = ______________________
8. 28 ÷ 6 = ______________________
9. 21 ÷ 2 = ______________________
10. 38 ÷ 5 = ______________________
11. 38 ÷ 7 = ______________________
12. 43 ÷ 6 = ______________________
13. 48 ÷ 8 = ______________________
14. 34 ÷ 6 = ______________________
88
Division 13
Find the answer to these division problems. If there is a
remainder decide whether you need to round the answer
up or down.
1. 36 people are travelling to a party. They are
travelling by car each car holds 5 people.
How many cars are needed? ___________________
2. There are 27 packets of crisps. Each bowl has room
for 6 packets of crisps.
How many bowls are needed? __________________
3. There are 28 children’s prizes.
If each child gets 4 prizes.
How many children are at the party?_____________
4. There are 48 balls if 10 fit in a box.
How many boxes are needed? __________________
5. 42 slices of cake are needed.
Each cake can be shared between 5 people.
How many cakes are needed? __________________
6. Party cd’s cost £7 each. I have £25.
How many can I buy?________________________
89
Multiplication and Division 1
Write an answer to each multiplication and division
calculation.
A.
1. 7 × 3 = 2. 6 × 4 =
3. 6 × 9 = 4. 5 × =
5. 27 ÷ 3 = 6. 45 ÷ 5 =
7. 6 × = 8. 7 × =
9. ÷ 4 = 10. 24 ÷ 4 =
Now try these.
B.
1. 9 × 4 = 2. 7 × 4 =
3. 6 × = 4. 7 × =
5. 56 ÷ 8 = 6. 63 ÷ 9 =
7. 9 × = 8. 7 × =
9. ÷ 8 = 10. ÷ 9 =
11. × 7 = 12. ÷ 8 =
42 35
9
20
81 28
9 6
48 42
42 7
90
Multiplication and Division 2
For Hire- Prices for half an hour
Decide which operation you will use to answer each
problem. Now calculate the answer.
1. How much does it cost to hire each item for 1 hour?
a. wind surfer b. surf board
c. yacht d. canoe
2. There are 8 children in a group. Each child hires a
surf board and a canoe for half an hour.
a. What is the cost for each child?
b. What is the cost for the whole group?
3. A family of four hire a wind surfer, a surfboard and a
canoe for an hour each.
a. What is the cost per person?
b. What is the total cost?
£4 £3 £10 £5
91
Multiplication and Division 3
Use the hire prices on the previous page to answer these
problems.
1. Tony has £60
How many hours can he hire a canoe for?
2. Jenny hires a yacht for 3 hours. What is the total
3. The total cost for 2 people to hire goods from the
shop for 1 hour was £14. What did they hire?
4. A family of five hire a yacht to share for 1 hour and
a wind surfer each for 2 hours. What is the total
5. Three people hire goods from the shop for 1 hour the
total cost is £30. What did they hire?
6. Tariq hires a wind surfer for four hours.
How much does it cost?
cost?
cost?
92
Multiplication and Division 4
To multiply by 5 first multiply by 10 then ÷ by 2.
Example
14 × 5 (14 × 10) ÷ 2 = 140 ÷ 2 = 70
1. 11×5 (11 × 10) ÷ 2 = ________________
2. 19 ×5 (19 × 10) ÷ 2 = ________________
3. 13 ×5 ____________________________________
4. 30 ×5_____________________________________
5. 16 ×5 ____________________________________
6. 34 ×5 ____________________________________
7. 25 ×5 ____________________________________
8. 17 ×5 ____________________________________
9. 36 ×5 ____________________________________
10. 60 ×5 ____________________________________
11. 42 ×5 ____________________________________
12. 27 ×5 ____________________________________
93
14 × 20
Multiplication and Division 5
To multiply by 20 first multiply by 10 then × by 2.
Example
12 × 20 (12 × 10) × 2 = 120 × 2 = 240
1. (14 × 10) ×2 =
2. 15 × 20 ____________________________________
3. 11 × 20 ____________________________________
4. 20 × 20 ____________________________________
5. 8 × 20 ___________________________________
6. 17 × 20 ____________________________________
7. 22 × 20 ____________________________________
8. 24 × 20 ____________________________________
9. 36 × 20 ____________________________________
10. 50 × 20 ____________________________________
11. 42 × 20 ____________________________________
12. 31 × 20 ____________________________________
94
Multiplication and Division 6
Write two multiplication and two division facts for
Each set of cards.
1. × 5 = 2. × =
3. ÷ = 4. ÷ =
5. × 5 = 6. × =
7. ÷ = 8. ÷ =
9. × 5 = 10. × =
11. ÷ = 12. ÷ =
13. × × = 14. × =
15. ÷ = 16. ÷ =
18 3 6
42 6 7
36 9 4
48 6 8
95
Multiplication and Division 7
Decide whether you will use × or ÷ to answer each
problem.
1. Sally buys 3 boxes of crayons.
How many crayons altogether? 5 × 3 = ______
2. Mrs Jones has 20 boxes of crayons in her classroom.
How many crayons altogether? ______________
3. Jack has 25 crayons.
How many boxes does he have?_______________
4. Jenny buys 7 boxes of crayons.
How many crayons in total? __________________
5. 5 crayons cost 10p.
How much for 50 crayons? __________________
6. The school needs 300 crayons.
How many boxes does it need?_________________
7. 10 boxes of crayons cost £1
How much do 70 boxes of crayons cost? _________
8. Wally buys 11 boxes of crayons.
How many crayons in total? _________________
5 crayons per box
96
Multiplication and Division 8
Read each problem. Find the important information.
Write a division or multiplication calculation for each
problem.
1. Books cost £5 each.
How many books can be bought for £35?
2.
a. The clothes shop sold 6 scarves on Thursday.
They made £42 altogether.
How much for 1 scarf?
b. How much for 8 scarves?
3.
a. James bought 3 games. He spent £27.
How much did each game cost?
b. How much for 6 games?
4.
a. In one week, the greengrocer made £30 on selling
melons. 15 melons were sold.
How much per melon?
b. How much money was made if only 9 melons were
sold?
97
How are you doing? 2
Multiply these numbers using the grid method.
1. 7 × 23 = 2. 6 × 58 =
×7 ×6
Multiply these numbers using a standards method.
3. 37 4. 58
× 9 × 6
5. Fill in the gaps.
a. 34 × 10 = ____ b. 432 × 10 = ____ c. 670 ÷ 10 = ___
d. 28 ÷ 4 = ____ e. 42 ÷ 6 = _____
f. 35 ÷ 7 = ____ g. 66 ÷ 6 = _____
h. 45 ÷ 4 = i. 37 ÷ 3 =
j. 14 × 20 = _____ k. 26 × 5 = _____
6. Halve each of these numbers.
a. 740 ______ b. 936 ______
c. 2300 ______ d. 6370 ______
r r
98
Fractions and Decimals 1
1 is the same as 2
2 4
The same shaded fractions can be written in different ways.
These are called equivalent fractions.
Colour the fractions and fill in the gaps.
1.
2 is the same as ___ 5
2.
1 is the same as ___ 3
3.
1 is the same as ___ 5
99
Fractions and Decimals 2
Colour the fractions and fill in the gaps
1.
3 is the same as 6
4 8
2.
4 is the same as ___
5
3.
2 is the same as ___
3
4.
3 is the same as ___
5
100
1
2
4
Fractions and Decimals 3
1. Circle the fractions that are bigger than
3 2 1 6 7 3
4 5 3 10 8 5
Colour the boxes and finish the fractions
2.
1 =
3.
1 =
4.
1 =
5.
5
1 =
101
1
3
1
3
1
4
4
3
10
2
5
Fractions and Decimals 4
1. Circle the fractions that are bigger than
3 2 1 2 4 1
4 3 4 12 8 6
Use two colours to shade the boxes and finish the number
sentences.
2.
+ = 1
3. + = 1
4.
+ = 1
5.
5
+ = 1
102
Write the number of sweet boxes.
1
2
1
3
3
4
This is a whole box of chocolates. 1
4
5
8
a. Draw 3 boxes. a. Draw 2 boxes.
Fractions and Decimals 5
1.
Match each fraction to the sweet boxes.
2
2.
3.
4.
1
3
3
1
5.
6.
103
1
4
1
10
1
5
Fractions and Decimals 6
Work out these division facts. Now write each fact as a
fraction calculation.
Example 12 ÷ 4 = × 12 = 3
1. 15 ÷ 3 = ________________________________
2. 24 ÷ 4 = ________________________________
3. 30 ÷ 5 = ________________________________
4. 35 ÷ 5 = ________________________________
5. 130 ÷10 = ________________________________
Find of each number. Write your answer as a division
fact.
6. 20 _____________________________________
7. 90 _____________________________________
8. 500 _____________________________________
Find of each number. Write your answer as a division
fact.
9. 60 ______________________________________
10. 120 ______________________________________
11. 500 ______________________________________
104
1
3
1
3
box.
Fractions and Decimals 7
Write the red sweets as a fraction of all the sweets in each
1. The red sweets are of the sweets in the box.
2. The red sweets are ____ of the sweets in the box.
3. The red sweet is ____ of the sweets in the box.
4. The red sweets are ____of the sweets in the box.
Write the missing fraction.
5. 6 is of 18 6. 7 is ___ of 21
7. 3 is ___ of 15 8. 9 is ___ of 18
9. 8 is ___ of 32 10. 10 is ___ of 100
11. 2 is ____ of 14 12. 5 is ___ of 25
105
1
5
Fractions and Decimals 8
What fraction is one square?
1. 2.
a fifth __________________
3. 4.
______________ ________________
Write the fraction of orange and grey squares.
5. 6.
orange ____________ orange ____________
grey ____________ grey ____________
7. 8.
orange ____________ orange ____________
grey ____________ grey ____________
106
1
4
1
2
1
3
2
5
3
8
1
10
1
2
4
9
1
9
2
7
2
7
1
8
5
8
Fractions and Decimals 9
Write the fractions of the red, blue and green squares.
1. 2.
red half red ______________
blue ____________ blue ______________
green ____________ green ______________
3. 4.
red ____________ red ______________
blue ____________ blue ______________
green ____________ green ______________
Fill in the missing fractions.
5. + ___ = 1 6. + ___ = 1
7. + ___ = 1 8. + ___ = 1
9. + + ___ = 1 10. + + ___ = 1
11. + + ___ = 1 12. + + ___ = 1
107
1
2
3
6
1
2
1
2
1
2
1
4
Fractions and Decimals 10
Half the circles are yellow. Write other fractions to show
1. 2.
= = _____
3. 4.
= ______ = _____
Write two fractions for the blue circles.
5. 6.
= _______ _____ =_____
7. 8.
_____=______ _____=______
half.
108
1
5
3
5
1
3
1
10
1
1
8
1
6
Fractions and Decimals 11
Fill in the missing fractions on the number lines.
1. 2. 0 1 0 1 3. 0 1 4. 5. 0 0 Circle the fractions that are less than half.
Write these fractions in order smallest to largest.
6. 3 5 1 2
6 6 6 6
7. 2 5 1 7
8 8 8 8
8. 4 3 1 2
5 5 5 5
9. 9 5 1 7 10 10 10 10
1
6
109
3
10
9
10
2
10
7
10
4
10
8
10
2
10
1
10
Fractions and Decimals 12
A. Write the fractions as decimals.
1. 1 2. 3
3. 4 4.
5. 3 6. 7
7. 6 8. 3
B. Write the decimals as fractions.
1. 4·6 2. 2·1
3. 1·2 4. 5·3
5. 3·9 6. 0·6
7. 2·2 8. 7·8
1·3
110
1
5
3
5
1
3
1
10
1
1
8
1
6
1
1 8
1 6
Fractions and Decimals 13
Fill in the missing decimals on the number lines.
1. 2 3 2. 5 3. 0 1 Write these decimals on the number line below.
7·6 8·3 7·1 7·4 8·1
4. 7 8 Write these lengths in order smallest to largest.
5. 6·1cm 2.9cm 0·7cm 6·5cm 5·6cm
6. 2·6m 0.9m 0·1m 0·5m 1·2m
2·1
6·2
111
Fractions and decimals 14
A. Write these prices in pence.
1. £2·60 2. £1·73
3. £0·53 4. £2·96
5. £3·99 6. £5·47
B. Write these prices in £.
1. 245p 2. 383p
3. 27p 4. 1096p
5. 199p 6. 704p
C. Write these lengths in metres.
1. 295cm 2. 124cm
3. 345cm 4. 6cm
5. 27cm 6. 1162cm
260p
112
Fractions and decimals 15
A. Write these prices in pence.
1. £1·72 2. £6·03
3. £0·97 4. £1·16
5. £0·09 6. £9·40
B. Write these prices in £.
1. 5p 2. 16p
3. 78p 4. 746p
5. 249p 6. 101p
C. Write these prices in order, highest to lowest.
1. £1·47 £0·19 45p £2·76 91p
2. £0·04 6p 60p £1·02 £2·11
3. 301p £0·01 £2·20 423p £0·31
113
1
2
1
4
1
8
1
6
Fractions and Decimals 16
A. Work out of these amounts.
1. = 2. =
3. = 4. =
5. = 6. =
7. = 8. =
B. Work out of these amounts.
1. = 2. =
3. = 4. =
5. = 6. =
7. = 8. =
C. Work out of these amounts.
1. = 2. =
3. = 4. =
D. Work out of these amounts.
1. = 2. =
3. = 4. =
250 125 900
26 58
108 130
750 690
16 40
80 800
36 1000
300 900
800 160
240 320
360 600
180 240
114
2
5
3
4
2
3
5
6
Fractions and Decimals 17
A. Work out of these amounts.
1. = 2. =
3. = 4. =
5. = 6. =
7. = 8. =
B. Work out of these amounts.
1. = 2. =
3. = 4. =
5. = 6. =
7. = 8. =
C. Work out of these amounts.
1. = 2. =
3. = 4. =
D. Work out of these amounts.
1. = 2. =
3. = 4. =
16 12 400
100 24
1000 600
48 96
9 18
24 21
36 99
300 75
20 30
600 150
36 600
180 240
115
1
5
3
5
1 5
2 6
1 6
1 4
3 4
3 4
1 4
1 4
1 6
1
6
4
6
5 6
5
6
4 5
3
5
1
5
2
5
4
5
1
2
1
4
3
4
1
4
1 2
1
8
6 8
7 8
5
8
3
8
Fractions and Decimals 18
Fill in the missing fractions on the number lines.
1.
3 3 3 4 5
2.
8 8 9 10
Put these mixed number in order starting with the
smallest.
3. 4 2 3 2 3
4. 6 3 5 3 5
5. 5 4 3 4 3
Draw a number line and put these mixed numbers in the
correct place.
6. 4 5 3 4 3
______________________________________________
7. 6 5 7 5 6
______________________________________________
116
1 5
3 5
2 6
1 5
1
2
1
5
3
5
1 2
1
3
2 4
1
5
3
5
1
2
Fractions and Decimals 19
Fill in the missing fractions
1. 2.
0 1 0 1 0 1
4. 5.
0 1 0 1
6.
0 1
7.
0 1
Use the fractions above to fill in the table
less than equal to greater than
3.
1
8
1
10
1 2
1
2
1
2
3
6
117
Factions and Decimals 20
1. Divide the wall into fractions that are equal to
one quarter.
2. Write the fractions equivalent to
______________________________________________
3. Write the fractions equivalent to
______________________________________________
4. Divide the wall into fractions that are equal to
one fifth.
5. Write the fractions equivalent to
______________________________________________
6. Write the fractions equivalent to
______________________________________________
1
4
3
4
4 4
3
5
4 4
1
5
4 4
118
Fractions and Decimals 21
Work out the answer to these fraction problems.
Draw a diagram to help you work it out.
1. Mum has four biscuits to share equally between
three children.
How many biscuits does each child get?
2. William has four cakes to share equally between
eight children.
How much cake does each child get?
3. Penny has three packets of crisps to share equally
between eight children.
What fraction of a packet will each child get?
4. Sarah has five cakes to share equally between nine
children.
What fraction of a cake does each child get?
119
1
5
3
5
1 5
1 5
Fractions and Decimals 22
1. Fill in the missing fractions and decimals on the
number line.
0 3 1 1
0·1 0·3 0·7
2. Write each mixed number as a decimal.
a. 5 = ____ b. 3 = ____
c. 10 = ____ d. 12 = ____
3. Write each decimal as a mixed number.
a. 3·4 = ____ b. 15·1 = ____
c. 14·9 = ____ d. 17·2 = ____
4. Write these decimals on the number line below.
6·6 7·1 6·2 6·9 7·4
6 7
5. Write the equivalent fraction below the decimals.
4 4
4
4
4 4
4 4
3
10
4 4
4
10
4 4
7
10
4 4
2
10
4 4
3
10
4 4
9
10
4 4
1
10
4 4
120
1 5
1
5
Fractions and Decimals 23
1. The number line below is in hundredths.
Fill in the missing fractions.
0
2. The number line below is in hundredths.
Fill in the missing decimals.
1·50 1·54 5·58
3. What are the decimals equivalent to these fractions?
a. = _____ b. = _____
c. = _____ d. = _____
4. What are the fractions equivalent to these decimals?
a. 0·78 = _____ b. 0·96 = _____
c. 0·02 = _____ d. 0·17 = _____
4
4
13
100
4 4
111
100
4 4
4
4
4
4
141
100
4 4
4
4
4
4
4
4
4
4
33
100
4 4
56
100
4 4
41
100
4 4
7
100
4 4
4
4
121
Ratio and Proportion 1
1. A clover has three leaves.
a. How many leaves on 3 clovers? ______________
b. If there are 12 leaves, how many clovers are
there?_________
c. Complete the table.
Clover 1 2 3 4 5 6 7 8
Leaves 12 18
Apple 1 2 3 4 5 6 7 8
Pips 15
Pods 1 2 3 4 5 6 7 8
Peas
Bunches 1 2 3 4 5 6 7 8
Grapes 60
2. An apple has 5 pips.
Complete the table.
3. An pea pod has 7 peas.
Complete the table.
4. A bunch of grapes has 12
grapes.
Complete the table.
122
Ratio and Proportion 2
Fill in the missing numbers in these sentences.
1. out of circles is red.
2. out of circles are red.
3. out of circles are red.
4. out of
Continue each letter pattern then complete fill in the
missing numbers.
5. A B B B A B B B 1 in every ___ letters is A.
6. C D C D C D 1 in every ___ letters is C.
7. E E E E F E 1 in every ___ letters is F.
8. G H H G H H 2 in every ___ letters are H.
9. Draw a picture to illustrate ‘3 in every 5’.
10. Draw a picture to illustrate ‘ 4 in every 7’.
1 5
circles are red.
123
Ratio and Proportion 3
Look at the pictures and complete the sentences.
1. ____ in 4 is a triangle. 2. 2 in 8 are triangles.
3. ____ in 12 are triangles. 4. ___ in 16 are triangles.
5. ____ in 5 are triangles. 6. ___ in 10 are triangles.
7. ____ in 15 are triangles 8. ___ in 50 are triangles.
9. ____ in 10 are triangles. 10. ___ in 30 are triangles.
11. ____ in 50 are triangles. 12. ___ in 90 are triangles.
13. ___ in 8 are triangles. 14. ___ in 16 are triangles.
15. 9 in ____ are triangles. 16. 30 in ___ are triangles.
124
Ratio and Proportion 4
Describe the number of blue squares in two ways.
Example
2 out of 3 are blue. are blue.
1.
______________________________________________
2.
______________________________________________
3.
______________________________________________
4.
______________________________________________
5.
______________________________________________
6.
______________________________________________
2
3
4
4
125
Calculator Skills 1
Use your calculator to work out the following
calculations.
1. 36 × 58 = 2. 347 + 457 =
3. 468 – 86 = 4. 19 188 ÷ 78 =
5. 341² = 6. 568 – 267 + 451=
7. 19061 ÷ 389 = 8. 456² =
Experiment with the clear entry key.
Type in the numbers in each sum and then correct them to
the number in brackets before pressing the = key.
Example 35× 29 ( 28) Type in 35 × 29, press the clear
entry (ce) key and then type 28 instead of 29.
Try correcting these examples.
9. 36 × 24(42) = 10. 2808 ÷ 937 (936) =
11. 945- 786 (768) = 12. 579 + 673 (675) =
Try these calculations which all produce negative
numbers.
13. 45 – 56 = 14. 457 – 578 =
15. 781 – 871 = 16. 4789 – 6321 =
17. 947 – 1943 = 18. 6734 – 8935 =
126
Calculator Skills 2
When you use a calculator to work out money
calculations you need to remember to put the £ sign in the
answer. We always write money with two decimal
places, like this £ 2·38.
If the calculator gives an answer with one decimal place,
like this: 4·8.
You will need to write it as £4·80.
If the calculator gives you an answer with more than two
decimal places, like this: 2·6666666, you must write
down the first two decimal places.
You will need to write it as £2·66.
Work out these money sums.
1. £36·17 × 3 = 2. £82·54 ÷ 7 =
3. £32·48 - £23·76 = 4. £47·06 × 8 =
5. £14·29 ÷ 4 = 6. £54·26 ÷ 3 =
7. £64·92 - £46·85 = 8. £94·25 × 10 =
9. £34·26 + £27·54 = 10. £23·79 ÷ 4 =
11. £3·56 + £2·49 + £1·23 = 12. £56·23 × 7 =
13. £4·83 + £9·11 + £2·45 = 14. £67·45 ÷8 =
15. £9·13 + £2·59 + £8·56 = 16. £23·06 ÷ 9 =
127
Calculator skills 3
Sometime we need to calculate two or more steps in a
sum. If there are brackets work them out first.
Example 4 × ( 67 - 49) = 4 × 18 = 72
1. 8 × (36 + 24) =
2. (98 - 82) × (24 -19) =
3. 63 ÷ (68 - 59) =
4. 24 + (267 - 247) =
5. (36 - 27) × (38 - 19) =
6. 49 ÷ (145 - 138) =
7. (7 × 9) - (3 × 7) =
8. (67 - 24) × (235 + 124) =
9. (23 × 9) - (45 + 63) =
10. 3 × (34 - 7) + 63 =
11. (320 ÷ 2) + (7 × 14) =
12. Do these two sums have the same answer?
a. 24 × (12 + 34) = b. 24 × 12 + 34 =
128
Calculator Skills 4
Which two whole numbers do each of these lie between?
Example 57·689 lies between 57 and 58.
1. 84·47 lies between and
2. 146·001 lies between and
3. 923·48 lies between and
In these questions, write down an approximate answer
first. Then work them out and see how close your
approximation was.
Example
29·89 × 3·12 = 30 × 3 = 90 approximately.
29·89 × 3·12 = 93·2568 with the calculator.
My estimate was close.
4. 20·24 × 3·1= approximately.
20·24 × 3·1= with a calculator.
5. 498 ÷ 49·63 = approximately.
498 ÷ 49·63 = with a calculator.
6. 498 ÷ 98·73 = approximately.
498 ÷ 98·73 = with a calculator.
129
Measuring 1
Draw lines of these lengths.
1. 10mm
2. 25 mm
3. 70mm
4. 55mm
5. 5mm
6. Draw a line of 45mm on top write its length in 3
different ways, e.g. 4 cm 5mm or 4·5 cm 4½ cm.
7. Draw a line of 8·2cm and write its length in 3
different ways.
8. Draw a line of 67mm and write its length in 3
different ways.
9. Draw a line of 5·9cm and write its length in 3
different ways.
130
Measuring 2
A. Draw lines of these lengths.
1. 3cm shorter than 89mm
2. 5cm shorter than 67mm
3. 2 cm longer than 34mm
4. 3 cm longer than 55mm
5. 5mm longer than 4cm
B.
Find the same length as each measurement; find its
equivalent in metres or centimetres.
1. 435cm = 4m 35cm
2. 136cm = ______________________________
3. 4m 24cm = ______________________________
4. 3m 8cm = ______________________________
5. 4·67m = ______________________________
6. 0·25m = ______________________________
7 2·78m = ______________________________
131
Measuring 3
A.
Round these lengths to the nearest 10cm
1. 456cm = 460cm
2. 546cm =
3. 503cm =
4. 679cm =
B.
Measure these objects then round to the nearest 10 cm
Actual length Nearest 10 cm
1. The length of this sheet
2. Your pencil
3. Your hand span
4. Your shoe length
5.
6.
Add your own ideas for 5 and 6.
132
3
10
1
10
7
10
3
4
Measuring 4
Write these lengths as a fraction of a metre Example 10cm = m
1. 50cm =
2. 25cm =
3. 75cm =
4. 500mm =
5. 100mm =
Write these lengths in three different ways.
6. 30cm = 300mm = m
7. 90cm = =
8. m = =
9. m = =
10. 250mm = =
11. 100mm = =
12. 50cm = =
13. 25cm = =
14. 300mm = =
133
1
2
3
4
3
4
1
4
Measuring 5
Complete this table by writing in the equivalent
measurement in metres or kilometres.
km m
km 500m
250m
km
700m
900m
2 km
Put these distances order, starting with the smallest.
950m, km, 1 km, 1km, 1km 100m, 905m
134
Measuring 6
Round the weights to the nearest 10g.
1. 2. 3. 4.
Estimate the weights on the scales.
5. 6. 7.
Round the weights to the nearest 10g.
8. 9. 10. 11.
30
20 40
10 50
g
0 60
30
20 40
10 50
g
0 60
30
20 40
10 50
g
0 60
grams grams grams
47g
78g
99g
243g
1111g
606g
323g
2348g
135
1
5
1
2
3
4
1
4
1
10
Measuring 7
Write these weights in grams.
1. kg 2. kg
3. 1kg 4. kg
5. kg 6. kg
7. 5 kg 400g
8. 2 kg 250g
9. 4 kg 600g
10. 3 kg 750g
Write these weights in kilograms
11. 3500g
12. 1250g
13. 7100g
14. 6750g
200g
5400g
3 kg
1
2
136
500g + 500g + 200g
Measuring 8
You have a supply of these standard weights.
Choose the least number of weights to balance these
parcels.
a. b. c.
d. e. f.
a. 1200g =
b. 800g =
c. 1600g =
d. 900g =
e. 400g =
f. 1300g =
100g
200g
500g
1200g 800g 1600g
900g
400g 1300g
137
200g + 50g
Measuring 9
You have a supply of these standard weights.
Choose the least number of weights to balance these
parcels.
a b. c.
d. e. f.
a. 250g =
b. 150g =
c. 950g =
d. 450g =
e. 1900g =
f. 2050g =
100g
200g
500g
250g 150g 950g
450g
1900g
2050g
50g
138
250g + 150g + 170g =
Measuring 10
Work out how much three parcels weigh.
a b. c.
d. e. f.
1. a + b + d =
2. b + c + e =
3. c + d + e =
4. d + f + a =
5. e + b + f =
6. Work out the total weight of all the parcels.
7. Each box weighs 90g.
Find the weight of 12 boxes.
8. Each tube weighs 25g.
Find the weight of 20 tubes.
250g 150g 225g
75g 170g 25g
139
a.
b.
Show your working here.
Measuring 11
1. Look at these biscuit packets. Which one is the best
buy?
a. b.
£0·50 £1.00
2. If each packet contains 20 biscuits what is the weight
of one biscuit from each packet.
3. If an ice cream tub weighs 900grams.
How many 60 gram servings does it hold?
4. If a pizza weighing 375 grams is shared between 5
people how much does each slice weigh?
Chocolate
Snack 200g
200g
Orange Rounds
450g
140
Measuring 12
Fill in the missing numbers.
1. 1 litre = 500ml + ______ml = ________ml
2. litre = 250ml + ______ ml = ________ml
3. litre = _____ml
4. litre = _____ml + ______ml = _______ml
5. litre = _____ml
6. litre = _____ ml
1 litre 250ml 2 litres 200ml
7. The apple juice box holds _____ ml
8. The apple juice box will fill ____ tall glasses.
9. The jug holds _____ml
10. The jug will fill _____wine glasses.
1
2
3
4
1
4
1
10
3
10
141
Measuring 13
Write the amount of liquid in each measuring cylinder.
1. 2. 3. 4.
Answer the questions
5. How much is in cylinder 1. if 250ml is added?
6. How much is in cylinder 2. if 190ml is taken?
7. How much is in cylinder 3. if 425ml is added?
8. How much is in cylinder 4. if 560ml is taken?
9. How much is in all the cylinders altogether?
-700 ml
-
-600 ml
-
-500 ml
-
-400 ml
-
-300 ml
-
-200 ml
-
-100 ml
-
-1000 ml
-
-900 ml
-
-800 ml
-
-700 ml
-
-600 ml
-
-500 ml
-
-400 ml
-
- 300ml
-
- 200ml
-
- 100ml
-
-
-700 ml
-
-600 ml
-
-500 ml
-
-400 ml
-
-300 ml
-
-200 ml
-
-100 ml
-
-1000 ml
-
-900 ml
-
-800 ml
-
-700 ml
-
-600 ml
-
-500 ml
-
-400 ml
-
- 300ml
-
- 200ml
-
- 100ml
-
-
142
1.
2.
3.
4.
Measuring 14
The amount of liquid each container holds is written in
millilitres. Write each amount in four different ways.
Example 2·5l 2 l
2 l 500ml 2000ml + 500ml
Round the capacities below to the nearest 10 ml then
100ml.
a. 1768ml _____________ _______________
b. 1517ml _____________ _______________
c. 4251ml _____________ _______________
2500ml
1
2
6500ml
3250ml
1750ml
143
Measuring 15
750ml 1 l 1 l 500ml 150ml 200ml
Answer these questions about capacity.
1. Which container has the least capacity?
2. How many mugs of water does container A hold?
3. How many glasses does jug C fill?
4. How many mugs does container B fill?
5. Container D can fill ____ mugs and 1 glass.
6. Two containers B will fill ______ glasses.
7. If you pour a glass from jug C. How much is left?
8. If you pour a mug from jug D. How much is left?
9. How many mugs of water have the same capacity as
Two container A’s?
1
2
A B C D E F
144
Measuring 16
glass cup teapot vase bottle
Containers
Use the bar chart to answer these questions about
1. Which container has the greatest capacity?
2. What is the capacity of the teapot?
3. How many cups does the bottle fill?
4. How many glasses have the same capacity as the
5. You pour two glasses from the bottle, how much is
6. You pour a cup from the teapot, how much is left?
7. What is the capacity of the teapot and the bottle?
Capacity in
millilitres
200
400
600
800
1000
capacity.
vase?
left?
145
Measuring 17
Answer these capacity problems.
1. When cooking pasta, you need 5 cups of water to
every cup of pasta.
You cook 3 cups of pasta.
a. How many cups of water do you need? ______
b. A cup holds 200ml. You need a saucepan
which is 500ml larger than the water.
What is the smallest capacity saucepan you can
use? __________________________
2. A medicine bottle holds 250 ml.
a. How many 10 ml spoons does it hold? _______
b. You have two spoons a day for 5 days.
How much is left in the bottle? __________
3. In each 200 ml drink 15 ml is lime juice.
The rest is water.
How many millilitres of water do you need for 3
drinks?
__________________________________________
146
3
4
2
3
3
8
6
10
2
5
How are you doing? 3
Fill in the missing fractions.
1. + ___ = 1 2. + ___ = 1
3. + ___ = 1 4. + ___ = 1
Write two fractions for the red circles.
5. 6.
______= ______ ______ = ______
7. Work out of these amounts.
a. = b. =
c. = d. =
8. Write each decimal as a mixed number fraction.
a. 4·6 = ____ b. 12·22 = ____
9. Round these lengths to the nearest 10cm
a. 435cm ______b. 912cm _____ c. 1001cm _____
10. Fill in the missing amounts.
a. A juice box holds 1 litre this is _____ ml.
b. The juice box will fill ____ 200 ml glasses.
50 70
200 340
147
8:07
Time 1
Write the time on each clock in words.
1. 2. 3.
4. 5. 6.
Complete these time sequences.
7. 4:00 4:01 4:02 _____ _____ ______
8. 12:30 12:32 12:34 _____ _____ ______
9. 2:54 2:56 2:58 _____ _____ ______
10. 9:23 9:26 9:29 _____ _____ ______
5:25 1:40
148
Time 2
Write these times in three ways.
1. 3:48 Three forty eight
Forty-Eight minutes past three
Twelve minutes to four
2. 6:34 __________________________________
__________________________________
__________________________________
3. 10:57 __________________________________
__________________________________
__________________________________
4. 11:41 __________________________________
__________________________________
__________________________________
5. This clock shows 10:31.
What time will it show
6. Look at the time on this clock.
Write in digital form the time
Time 3
a. in 1 hour’s time ____________________
b. in half an hour ____________________
c. in 6 minutes ____________________
d. in 34 minutes? ____________________
a. 2 hour’s earlier _______________
b. 15 minutes earlier _______________
c. 30 minutes earlier _______________
7:24
149
Time 3
Here are the results of a skipping race.
Jayne 55 seconds
Philip 72 seconds
Julia 59 seconds
Wayne 61 seconds
Sheila 64 seconds
Paul 57 seconds
1. Write the names of the children who finished in
under a minute______________________________
2. Write the names and times in minutes and seconds of
children who finished in over a minute.
__________________________________________
3. Here are the results of a cycling race.
Fill in the cycle race times in hours and minutes.
Time in hours and minutes
Mr Smith 120 minutes ______________________
Mr Yang 132 minutes ______________________
Mr Brown 115 minutes ______________________
Mr Carter 143 minutes ______________________
Mr Snape 119 minutes ______________________
4. The race began at 9:30 write the time each cyclist
finished on a digital clock.
a. Mr Smith __________ b. Mr Yang __________
c. Mr Brown __________ d. Mr Carter__________
e. Mr Snape __________
150
Time 4
1. Bus A leaves Station Road and completes a circular
route around town. The bus takes 5 minutes between
each stop.
Complete the bus timetable
Station Road 9:05
High Street 9:45 11:35
Old Town
Hospital 10:35
Station Road 11:15
2. How long does it take to travel round the circuit?
________________________________________
3 How long does the bus wait at Station Road?
_________________________________________
4. Bus B makes regular trips from Station Road to City
Airport. The travel time is 35minutes.
Complete the timetable.
Bus Number Station Road City Airport
1 8:05 am
2 9:15 am
3 10:25 am
4 11:35 am
5 12:45 pm
5. Bus number 2 leaves 15 minutes late. What time
does it arrive at City Airport? ____________
151
Shape 1
Below is a set of quadrilaterals. Colour the squares
yellow, the rectangles brown, the parallelograms red,
the trapeziums blue and the rhombus green.
rhombus
parallelogram
square
f
rectangle
trapezium
kite
i rectangle trapezium
kite parallelogram
1. Which shapes do not have parallel lines?________
2. Draw a square, rectangle, rhombus, parallelogram,
kite and trapezium.
a
b
d
j
h
c
e
g
152
Shape 2
Find the perimeter of these shapes.
4cm
1. 2. 4cm 4cm 4 cm 4cm 6cm
4cm
4cm
Perimeter =____cm Perimeter =____cm
Find the perimeter of these shapes made from 1cm
squares.
3. 4.
___ cm ___cm
5. ___ cm 6. ___ cm
7. 8.
___cm ___cm
9. 10.
___cm ___cm
Colour shapes with the same perimeter the same colour.
153
Shape 3
Draw as many shapes as you can with a 12-unit perimeter.
1. If the perimeter of a square is 24 cm. How many cm
is one side? _____
2. Now draw a rectangle with the same perimeter as
the square (24cm)
154
Shape 4
Colour the right angled triangles red, the equilateral
triangles green and the isosceles triangles blue.
Sort these triangles into the right sets.
equilateral isosceles right-angled other
h
5
4
1
f
3
2
6
d
7
a
b
c
e
g
i j
155
Shape 5
Name each of these polygons.
rectangle _________
____________ d ________
e ____________ _____________
Fill in the correct word to complete each description.
hexagons quadrilateral heptagons isosceles
equilateral octagons
1. An _________________ triangle is an example of a
regular polygon.
2. All shapes with six sides are _______________.
3. An ___________________ triangle is an example
of an irregular polygon.
4. All________________ have seven sides.
5. A _____________________ is any shape with four
straight sides.
6. All ______________ have eight sides.
a
f
c
b
156
Shape 6
d
Use the diagrams to sort these shapes
regular
irregular
has line symmetry
has no line symmetry
has 5 or more sides
has less than 5 sides
a e b c
f g
h i j
triangle quadrilateral
a
regular irregular
regular irregular
k
157
Shape 7
Match the shapes to their label
a b c
d e f
g h i
Complete the table using the shapes above.
Shape Is a
prism
Number
of faces
Number
of
edges
Number
of
corners
cone × 2 1 1
1. cuboid 2. cylinder 3. square pyramid 4. hemisphere 5. cone
7. hexagonal prism 8. cube 9. triangular prism 6. triangular pyramid
158
Shape 8
Name the solids made from each net.
1. 2.
______________________ ______________________
3. 4.
_______________________ _____________________
5. 6.
______________________ _______________
159
Shape 9
Write the co-ordinates for the shapes on the grid below.
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8
Mark each place on the grid with the correct letter.
A at (2 , 6) B at ( , ) C at ( , ) D at ( , )
E at ( , ) F at ( , )
A
C
B
E
D
F
160
Shape 10
Count the number of small squares in each shape to find
its area.
B
A
C
c
m
E
F
Draw a rectangle 9 cm long and 4 cm wide on the squares
below. Write its area.
D
8cm²
cm²
cm²
cm²
cm²
cm²
161
Shape 11
Draw these rectangles on the squares below.
1. 6 cm long and 3 cm wide, the area is
2. 7 cm long and 4 cm wide, the area is
3. 6 cm long and 7 cm wide, the area is
4. 5 cm long and 5cm wide, the area is
cm²
cm²
cm²
cm²
162
1
2
c
Shape 12
You can only see part of these shapes. Complete each
one. The area of each shape is shown.
Draw a shape with an area of 12 cm²
1. 18 cm² 2. 21 cm²
3. 16 cm² 4. 24 cm²
163
1
2
1
2
1
2
1
2
Shape 13
Draw shapes with these areas on the squares below.
1. 16 square centimetres 2. 4 square centimetres
3. 6 square centimetres 4. 11 square centimetres
5. 12 square centimetres 6. 20 square centimetres
164
Shape 14
Draw the next 3 shapes in the sequence.
Complete the table
Number of shape Area in cm² Perimeter in cm
What is the area_______ and perimeter______
of the 12th shape?
1 2 3
4 5
6 7
165
Shape 15
Draw over these shapes. Colour the horizontal lines red,
the vertical lines blue and the diagonal lines, green.
166
Shape 16
Measure the radius and diameter of these circles to the
nearest half centimetre.
1. 2.
3. 4.
diameter
radius
radius
diameter
diameter
radius
diameter
radius
diameter
radius
167
NE NW
SW SE
Shape 17
Look at the farm map then complete the sentences about
direction.
1. The ploughed field is East of the house.
2. The wood is _________ of the house.
3. The pig pen is ________ of the house.
4. The hay barn is ____________ of the house.
5. The wheat field is __________of the horse field.
6. The horse field is ___________ of the wood.
7. The windmill is __________ of the ploughed field.
8. The cow field is ____________ of the barn.
W
N
S
E
168
Shape 18
Look at the map on page 167.
Imagine you are in the farmhouse.
1. Face the horse field turn clockwise through 90º.
a. What direction are you facing?
b. What do you see?
2. Face the pig pen turn anti-clockwise through 90º.
a. What direction are you facing?
b. What do you see?
3. Face the wood turn clockwise through 90º then 45º.
a. What direction are you facing?
b. What do you see?
4. Face the cow field turn anti – clock wise to face the
wheat field.
a. How many degrees have you turned?
5. Face the wood turn anti-clock wise to face the barn.
a. How many degrees have you turned?
169
Shape 19
Count the number of squares in each shape to find its
area.
B
A
C
D
E
F
1. A = squares B = squares
C = squares D = squares
E = squares F = squares
2. Which shape has the largest area? ______________
3. Which shape has the smallest area? _____________
170
Shape 20
You will need a 45º, 45º, 90º set square and a ruler.
1. Divide this semi-circle into two right angles.
3. Divide this shape into two 90º and a 45º.
4. Draw a part circle divided into three 90º and 45º.
2. Draw a right angle triangle with two sides 6cm long.
Divide it into 45º parts.
171
Shape 21
Look at the shapes below.
Write the numbers of the shapes which have:
1. One angle of 90º ___________________________
2. Four angles of 90º __________________________
3. Two angles of 90º __________________________
11
4
2
1
8
3
5
9
7
10
6
172
Handling Data 1
Simon asked people questions about a visit to a funfair.
He made a tally chart for each question. Fill in the
missing frequencies and answer the questions.
1.
Ride Tally Frequency
Dodgems ||̷|| |||
Big Wheel |||̷| |||̷| ||
Roller Coaster ||̷|| ||̷|| ||̷|| |
Roundabout ||̷|| ||
a. How many people like the roundabout best?
b. What is the frequency for the Big Wheel?
c. What is the highest frequency?
d. How many people did Simon ask altogether?
2.
Eating Place Tally Frequency
Pizza Parlour ||̷|| ||||
Burger Bar |||̷| |
Café ||̷|| ||̷|| ||
Fish & Chip Shop ||̷|| ||̷||
a. What is the most popular place to eat?
b. How many people did Simon ask?
c. How many more people ate at the Pizza
Parlour than the Burger Bar?
173
Handling Data 2
Fill in the missing tally marks and answer the questions.
1. Favourite Meal
Meal Tally Frequency
Pizza 14
Burger 9
Roast Dinner 16
Fish and Chips 12
a. How many more people like pizza better
than a burger?
b. Which meal has the highest frequency?
c. How many people did Simon ask altogether?
Roll a dice and make a tally chart of the most frequent
numbers. Stop when one number tallies 15.
Numbers Rolled
Number Tally Frequency
1
2
3
4
5
6
a. What is the most frequent number?
b. How many times did you roll the dice?
174
Handling Data 3
Fill in the tally chart, which represents the foods shown in
the pictogram below.
1. Favourite Food
Food Tally Frequency
Cake
biscuit
ice cream
pizza
Favourite Food
cake
biscuits
ice cream
pizza
Key = 2 foods
Answer these questions about favourite foods.
1. What was the least frequent food?
2. How many people liked ice cream best?
3. What was the difference between cake and pizza?
4. How many people took part in the survey?
175
Handling Data 4
These words are the names of vegetables, trees, furniture
and cities.
Complete the tally chart and make a tally mark for each
word. Then complete the pictogram. Use to
represent five words.
Name Tally Frequency
vegetable
tree
furniture
city
Names
Vegetable
Tree
Furniture
City
Key _________________________
1. How many names of trees are there?
2. What is the frequency of city words?
3. What is the highest frequency name?
chestnut table carrot Paris chair oak ash cabbage yew
London wardrobe runner bean pine Cardiff courgette elm
shelf beetroot bed Glasgow garlic Dublin stool onion
piano cauliflower New York cupboard Tokyo leek cot
lettuce palm holly pepper Sidney Moscow mushroom
potato Madrid sofa parsnip Liverpool Birmingham pea
sycamore pumpkin radish Manchester cucumber turnip Leeds
broad bean maple Bristol
176
Handling Data 5
Count the different shapes.
Complete the frequency table. Then complete the
pictogram. Use to represent four shapes.
Shape Tally Frequency
circle
triangle
pentagon
rectangle
Shapes
circle
triangle
pentagon
rectangle
Key _________________________
1. What is the highest frequency shape?
2. How many shapes are there altogether?
177
Handling Data 6
Here are the results for class 4’s favourite pet
questionnaire.
Fill in the missing numbers on the table.
Pet dog cat fish horse mouse Number
of
Children
2
Class 4’s favourite Pets
9:0 dog cat fish horse mouse
Pet
1. 8 children chose cat. Draw the bar.
2. How many children chose horse?
3. Which is the most popular pet?
4. How many more children chose cat than fish?
5. Which is the least popular pet?
Number of
Children
Number of
Children
16
0
4
8
12
178
Handling Data 7
Here are the results for class 4’s favourite biscuit
questionnaire.
Finish the bar chart.
Biscuit chocolate bourbon custard
cream jammy
dodger
rich tea
Number
of
Children
14 7 12 5 2
Class 4’s favourite biscuits
9:0
Biscuit
1. Which biscuit is the most popular?
2. How many children chose custard cream than
bourbon ?
3. How many chose chocolate or jammy dodger?
4. How many children answered the questionnaire?
Number of
Children
Number of
Children
16
0
4
8
12
179
Handling Data 8
Sam rolled a die many times. The bar chart shows his
results.
Numbers rolled with a die
1 2 3 4 5 6 Number rolled
1. How many times did he throw 4?
2. Which number was thrown 10 times?
3. How many more 3s than 2s did he throw?
4. How many times did he throw the die altogether?
5. Complete Sam’s tally chart.
Numbers Rolled Number Tally Number of rolls
1
2
3
4
5
6
Number
Children
Number of
rolls
16
0
4
8
12
180
Handling Data 9
This table shows the fruit sold in the Corner Shop in one Fruit Sold Fruit Number Sold
apples 36
bananas 32
plums 28
pears 15
oranges 31
lemons 8
Complete the bar chart for fruit sold.
Choose your own scale for the vertical axis.
Then draw another bar chart using a different scale for the
vertical axis.
Fruit sold in the Corner Shop in one day
Fruit sold in the Corner Shop in one day
Number
of fruit
sold
day.
Number
of fruit
sold
181
Handling Data 10
This table shows the fruit sold in the Village Shop in one Fruit Sold Fruit Number Sold
apples 60
bananas 52
plums 36
pears 28
oranges 45
lemons 16
Complete the bar chart for fruit sold.
Choose your own scale for the vertical axis.
Then draw another bar chart using a different scale for the
vertical axis.
Fruit sold in the Village Shop in one day
Fruit sold in the Village Shop in one day
Number
of fruit
sold
day.
Number
of fruit
sold
182
Handling Data 11
Here are the results for class 4’s survey of traffic passing
the school.
Vehicle car lorry bus bike van Number
of
Children
38 7 6 10 24
Complete the bar chart
Class 4’s Traffic Survey
9:0
Vehicle
1. What is the most common vehicle?
2. How many more vans are there than lorries?
3. If the data was collected at 11p.m., how might the
data be different? ___________________________
______________________________________________
Number of
Children
Number of
vehicles
40
0
10
20
30
183
Handling Data 12
Sort these numbers into the Venn Diagrams below.
2 3 4 5 6 8 10 12 15 16 17 20 21 24 25
28 30 32 33 35 36 40 42
multiples of 3 multiples of 4
multiples of 2 multiples of 5
184
Handling Data 13
Sort these numbers into the Venn Diagrams below.
2 3 4 5 6 8 9 10 12 15 16 17 18 20 21 22
24 25 26 28 30 34 35 36 38 40 45 50 60
multiples of 5 multiples of 10
multiples of 4 multiples of 6
185
Handling Data 14
Write each number in the correct space on the Carroll
diagram below.
circle triangle
Less than 40
40 or more
Use the same numbers and write each number in the
correct space on the Carroll diagram below.
odd even
Between
30 and 60
Not between
30 and 60
32 14 93 36
7 25 8
17 82
88
22
57 19 52 22
16
63 44
64 18
27 23
35
186
Handling Data 15
Write each number in the correct space on the Carroll
diagram below.
blue yellow
even
odd
1. How many odd numbers are there altogether? ______
2. How many blue numbers are even? ________
3. How many yellow numbers are odd? _______
4. How many even numbers are yellow? _______
5. How many even numbers are there altogether? _____
30 50
78
24
9
36 25
14 8
12 84
37 23
19
54 35
22 13
11
40 20
187
Handling Data 16
Some children in Class 4 wrote down how they travel to
school.
Sam bus red, Tina car silver, Jake bike red
Jim walk Paul car red Sally car blue
Toni car silver Hal bus red Jade walk
Cal walk Kay car green Pip car blue
Mary car red Tom car yellow Luke bike red
Fill in the Carroll diagram. Write the children’s names to
show how they travel to school.
Travel by car Do not travel by
car
Use a red vehicle
Do not use a red
vehicle
1. How many children use a red vehicle? _________
2. How many children do not use a red vehicle? _____
3. How many children travel by car? _______
4. How many children were in the survey? _______
188
Handling Data 17
Use the information how class 4 travel to school to
complete the Venn diagram.
1. How many children travel by car? ________
2. How many children use a red vehicle? _______
3. How many children do not travel by car and do not
use a red vehicle? _________
4. How many children travel in a red car? ______
Draw a Venn diagram for the data using different
headings.
Travel by car Use a red vehicle
189
Number Problems 1
Add these consecutive numbers.
1. 5 + 6 + 7 =
2. 10 + 11 + 12 =
3. 7 + 8 + 9 + 10 =
Find consecutive numbers that add together to make each
of these numbers.
4. 0 + = 1
5. 1 + = 3
6. + = 5
7. + + = 6
8. = 7
9. = 9
10. = 10
11. = 11
12. = 12
190
Number Problems 2
Find consecutive numbers that add together to make each
of these numbers.
1. 6 + = 13
2. + + + = 14
3. + = 15
4. + = 17
5. = 18
6. = 19
7. = 20
Find all the numbers that can be made by adding two
consecutive numbers from 1 to 9.
11. 1 + 2 = 3, _________________________________
_________________________________________
_________________________________________
__________________________________________
7
191
Number Problems 3
Work out the problems. Decide which method you are
going to use.
1. Paul read for 25 minutes then drew for 18 minutes.
How long did it take altogether?
2. Pamela has 56p. How much more money does she
need to make £1?
3. Josh 100 marbles he loses 27. How many marbles
does he have left?
4. Monika has £3·17 and she is given 58p.
How much does she have altogether?
5. Jenny is counting beads. She has 345 altogether.
Jenny has 86 red beads and 124 blue beads.
How many other coloured ones does she have?
6. Jack wants to buy a game costing £15. He has £7·50
and is saving £1·50 a week. How long before Jack
has saved enough money?
7. Tilly has £10. She spends £3·50 on a book and
£2·37 on a present. How much money does she
have left?
8. There are 189 children in the hall. 75 children leave
the hall how many are left?
192
Number Problems 4
At the Library
1. In the history section there are 48 books on the top
shelf and 76 books on the bottom shelf. How many
history books are there altogether?
______________________________________________
2. There were 234 picture books in the library.
Last week 95 were taken out. How many books
were left?
______________________________________________
3. On Monday 56 books were taken out. On Tuesday
44 and on Wednesday 28. How many books were
taken out altogether?
______________________________________________
4. There are 167 science books. 48 were damaged and
had to be removed. How many were left?
______________________________________________
5. In the reference section there are 77 books on the top
shelf, 116 on the middle shelf and 146 on the bottom
shelf. How many reference books are there
altogether?
______________________________________________
193
Investigate the totals you can make by adding and subtracting 1,2,3.
Remember to do the calculations inside the brackets first.
Investigate the totals you can make by adding and subtracting 1,2,3,4.
Number Problems 5
1. (1+2) -3 =
2. (1+2) + 3 =
3. (3+1) - 2 =
4. (3-2) +1 =
5. 3- (1+2) =
6. (3+2) -1 =
7. (1+2) + (3+4) =
8. (4+3) - (1+2) =
9. (1 + 2 + 3) – 4 =
10. (3-1) + 2 + 4 =
11. (3+4+1)-2 =
12. (4+2)-(3-1) =
13. (4-3) + (2-1) =
194
Investigate the totals you can make by adding, subtracting,
multiplying and dividing 1,2,3,4.
Remember to do the calculations inside the brackets first.
Number Problem 6
1. (3×2) - 4 -1 =
2. (1+2) + (3×4) =
3. (3×1) – (4÷2) =
4. 2+(4×1) ÷ 3 =
5. 4+(3+1) ÷ 2 =
6. (4-2) + 1+3 =
7. (4÷2) × (3÷1) =
8. (3+1+2) – 4 =
9. (12÷3) + 4 =
10. (14×2) – 3 =
11. (32÷4) + 1 =
12. (24÷3) –1 =
13. (14-3)+2 =
195
Number Problems 7
Use different combinations of 3 numbers to make 16
1.
2.
3.
4.
5.
6.
Use different combinations of 3 numbers to make 10
7.
8.
9.
Use different combinations of 3 numbers to make 12
10.
11.
12.
16 8 +1+
16
16
16
16
16
10
10
10
12
12
12
1 2 3 4 5 6 7 8 9
196
Number Problems 8
Solve the puzzles. Write the missing numbers
1. Each side must add 2. Each side must add
up to 50. up to 100.
3. Each side must add 4. Each side must add
up to 150. up to 130.
5. Match the pairs of numbers that add up to 400.
20 10
30 10
20 30
10
20
30 20
10
60
10 40
40 60
375 95
215
235 205 325
225 245
175
165 75 305
197
Number Problems 9
1.
Use different combinations of 3 numbers to make 15.
a.
b.
c.
d.
e.
f.
2.
Use the digits 1 to 9, complete the squares so that all the
rows, columns and diagonals total 15.
Use the first box to practice, then fill in the second.
15
15
15
15
15
15
1 2 3 4 5 6 7 8 9
198
Number Problems 10
Find the mystery numbers.
1. I am an even number.
I am between 30 and 35.
I am a multiple of 8.
What number am I? ___________
2. 1 am a multiple of 5.
I am between 20 and 50.
My digits are consecutive.
What number am I?____________
3. I am an odd number.
I am less than 50.
I am a multiple of 3 and 7.
What number am I?______________
4. I think of a number.
I multiply by 6 and then add 2.
The answer is 44.
What number am 1?______________
5. I think of a number.
My double is half of 40.
What number am I?______________
6. 1 think of a number.
I add 4 and then multiply by 6.
The answer is 36.
What number am I._______________
199
Number Problems 11
Fill in the missing numbers.
Use the digits 1, 2, 4 or 5 to make each statement true.
1. ____ ____ + _____ = 19
2. ____ ____ - _____ = 16
3. ____ ____ + _____ _____ = 39
4. ____ ____ × _____ = 48
5. ____ ____ × _____ = 30
6. ____ ____ ÷ 4 = 3
7. ____ ____ + _____ _____ = 75
8. ____ ____ - _____ ____ = 33
Use the digits 2 4 6 9 to make each statement true.
9. ____ ____ - ____ _____ = 45
10. ____ ____ ÷ ____ = 32
11. ____ ____ + ____ ____ = 93
12. ____ ____ × _____ = 104
13. ____ ____ × _____ = 98
14. ____ ____ ____ + _____ = 435
200
Number Problems 12
Answer these money problems. Decide which operation
to use. Approximate the answer then work it out.
1. The baker sold 4 cakes at £6·29 each.
How much was that altogether?
2. The baker spent £27 on four bags of flour.
How much did each bag of flour cost?
3. Mrs Brown spent £1·75 on each of five days a week
at the bakery. How much did she spend in a week?
4. A school spent £79 at the bakery to buy party cakes
for 10 different classes.
How much was spent on each class?
5. The school cook spent £56 a week at the bakery.
How much will she have spent in three weeks?
201
Number Problems 13
Try to work out these problems in your head.
1. I am thinking of a number. If I subtract 8 and then
subtract 4 I am left with 10.
What was the number?
2. If 222 children are in the hall. 121 children are in the
girls. How many children are boys?
3. I am thinking of a number. If I add 12 and 15, then
subtract 6. I get 50.
What number was I thinking of?
4. I have £10. I spend some money in the toy shop and
£3·50 on a book. I have £2·00 left.
How much did I spend in the toy shop?
5. Paul has 34p, Tom has 26p and Tony has 19p.
How much money do they have together?
6. I am thinking of a number it is even. It contains two
consecutive numbers. It is less than 20.
What is my number?
7. Frank has 27 sweets he gives 12 to Joe and 9 to
Peter. How many sweets does he have left?
8. Jackie reads 4 books every week for 9 weeks.
How many books has she read?
202
1 5
3 5
1 3
How are you doing 4?
1. Mark the decimals on the number line. a. 0·7 b. 1·3
0 1 2. Find the area of the shapes. A ____cm² B____cm².
3. Find the perimeter of the shapes.
A ____cm B _____ cm.
4. Put these numbers in the correct place on the Carroll
Diagram. 7 9 16 12 30 15 22 18 25 28 36
multiples of 3 not multiples of 3
odd numbers
even numbers
5. Fill in the missing numbers.
a. (4×2) + 5 -1 = b. (28÷4) + ( 6×3) =
A
B
203
Answers
Place, value and ordering 1 page 3
1. 1471 2. 2681 3. 2462 4. 9606 5. 9850 6. 1787 7. 8610
8. 2519 9. one thousand six hundred and thirty seven
10. eight thousand two hundred and ninety four
11. 2709 2749 2794 2885 2898 12. 5766 5732 5723 5629 5619
Place, value and ordering 2 page 4
1. 400 2. 90 3. 3000 4. 300 5. 8 6. 800 7. 7000 8. 60
9. a. 20 b. 30 c. 50 d. 50 e. 80 10. a. 310 b. 330 c. 360
d. 380 e. 430 11. a. 660 b. 690 c. 710 d. 750 e. 790
Place, value and ordering 3 page 5
1. 5,7,9,11,13,15,17,19,21,23 2. 20,24,28,32,36,40,44,48,52
3. 57,59,61,63,65,67,69,71,73 4. 35,39,43,47,51,55,59,63,67
5. 300,350,400,450,500,550,600 6. 50,100,150,200,250,300,350
7. 750,700,650,600,550,500,450 8. 400,350,300,250,200,150,100
9. 100,125,150,175,200,225,250 10. 350,375,400,425,450,475,500
11. 425,400,375,350,325,300,275 12. 550,525,500,475,450,425,400
Place, value and ordering 4 page 6
1. 4,8,12,16,20,24,28,32,36 2. 15,18,21,24,27,30,33,36,39
3. 10,15,20,25,30,35,40,45 4. -50,-45,-40,-35,-30,-25,-20,-15,-10
5. -8,-6,-4,-2,0,2,4,6 6. 6,12,18,24,30,36,42,48,54
7. 30,20,10,0,-10,-20,-30,-40 8. -20,-15,-10,-5,0,5,10,15,20
9. 0,25,50,75,100,125,150,175 10. -125,-100,-75,-50,-25,0,25,50
11. 75,50,25,0-25,-50,-75,-100 12. -50,0,50,100,150,200,250,300
13. -200,-150,-100,-50,0,50,100,150 14. 400,300,200,100,0,-100,-200,-300
Place, value and ordering 5 page 7
odd even
1. true 2. true 3. false 4. false 5. true 6. true 7. true 8, true
Place, value and ordering 6 page 8
1. 4ºC 2. -2º 3. -5º 4. 0ºC
67 123
11 371
23 945
56 200
42 96 6 566
204
Place, value and ordering 7 page 9
1. -1ºC 2. -3 ºC 3. 4 ºC 4. -3 ºC
Place, value and ordering 8 page 10
1.
2.
3.
4.
5. -6 6. -12 7. -7 8. -8 9. -9 10. -2
Place, value and ordering 9 page 11
1. ˂ 2. ˃ 3. ˃ 4. ˂ 5. ˂ 6. ˂ 7. = 8. ˃
9. ˂ 10. ˃ 11. ˂ 12. ˃ 13. ˃ 14. = 15. ˂ 16. ˃
Place, value and ordering 10 page 12
1. 3565 3655 5356 5635 6356 2. 2043 2340 2430 4023 4032
3. 3080 3800 8003 8030 8300 4. ˃ 5. ˂ 6. ˂ 7. ˂
8. ˃ 9. ˃ 10. ˂ 11. ˃ 12. ˂ 13. ˃ 14. ˂ 15. ˃
16. ˂ 17. ˂ Place, value and ordering 11 page 13
1. 7·3 2. 2·8 3. 3·2 4. 9·6 5. 7·0 6. 1·1 7. 8·7 8. 10·0 9. 4·03 4·23 4·32 4·67 ·4·76 10. 1·08 1·88 8·01 8·18 8·81
11. 5·95 5·99 6 6·95 12. 7 13. 3 14. 30 15. 8 16. 7 17. 1
18. 46 19. 2
80 -60 -40 0 40 -50 -30 -20 -10 10
0
20
0
30 50
0
60 70
200 -150 -100 0 100 -125 -75 -50 -25 25
0
50
0
75 125 150 175
40 -30 -20 0 20 -25 -15 -10 -5 5 10
0
15 25 30
0 35
0
88 -66 -44 0 44 -55 -33 -22 -11 11 22 33 55 66 77
205
Addition 1 page 14
1. 7+7=14 14 +1=15 2. 12+12=24 24+1=25 3. 15+15=30 30+1=31
4. 22+22=44 44+1=45 5. 42+42=84 84+1=85 6. 34+34=68 68+1=69
7. 30+30=60 60-1=59 8. 64+64=128 128-1=127 9. 42+42=84 84+2=86
10. 85+85= 170+3=173 11. 64+64=128 128+3=131
12. 73+73=146 146+4=150 13. 86+86=172 172+3=175
14. 62+62=124 124+4=128
Addition 2 page 15
1. 74 + 57 = 74 + 6 + 50 + 1 =
2. 17 + 29 = 17 + 3 + 20 + 6 = 46
3. 35 + 67 = 35 + 5 + 60 + 2 = 102
4. 48 + 33 = 48 + 2 + 30 + 1 = 81
5. 46 + 55 = 46 + 4 + 50 + 1 = 101
+6 +50 +1
74 80 130 131
131
+3 +20 +6
17 20 40 46
+5 +60 +2
35 40 100 102
+2 +30 +1
48 50 80 81
+4 +50 +1
46 50 100 101
206
Addition 3 page 16
1. 57 + 45 = 57 + 3 + 40 + 2 =
2. 68 + 83 = 68 + 2 + 80 + 1 = 151
3. 146 + 57 = 146 + 4 + 50 + 3 = 203
4. 145 + 183 = 145 + 5 + 170 + 8 = 328
5. 116 + 125 = 116 + 4 + 120 + 1 = 241
Addition 4 page 17
1. 326 + 149 = 326 + 4 +140 + 5 =
+3 +40 +2
57 60 100 102
102
+2 +80 +1
68 70 150 151
+4 +50 +3
146 150 200 203
+5 +170 +8
145 150 320 328
+4 +120 +1
116 120 240 241
+4 +140 +5
326 330 470 475
475
207
2. 274 + 103 = 274 + 6 + 90 + 6 = 377
3. 145 + 143 = 146 + 5 + 130 + 8 = 288
4. 348 + 296 = 348 + 2 + 290 + 4 = 644
5. 516 + 265 = 516 + 4 + 260 + 1 = 781
Addition 5 page 18
1. 286 2. 105 3. 626 4. 306
+ 13 +73 + 42 +493
9 units 8 units 8 units 9 units
90 tens 70 tens 60 tens 90 tens
200 hundreds 100 hundreds 600 hundreds 700 hundreds
299 178 668 799
Addition 6 page 19
+6 +90 +7
274 280 370 377
+5 +130 +8
145 150 280 288
+2 +290 +4
348 350 640 644
+4 +260 +1
516 520 780 781
1. 62
+27
80
9
89
2. 74
+33
100
7
107
3. 85
+49
120
14
134
4. 92
+37
120
9
129
5. 49
+34
70
11
83
6. 68
+56
110
14
124
7. 86
+44
120
10
130
8. 74
+28
90
12
102
9. 83
+51
130
4
134
10. 85
+36
110
11
121
208
Addition 7 page 20
Addition 8 page 21
Addition 9 page 22
1. 623
+278
11
90
800
901
2. 478
+339
17
100
700
817
3. 592
+137
9
120
600
729
4. 249
+33
12
70
200
282
5. 268
+ 56
14
110
200
324
6. 326
+ 44
10
60
300
370
7. 234
+128
12
50
300
362
8. 543
+ 151
4
90
600
694
9. 485
+236
11
110
600
721
1. 43
+38
81 1
2. 57
+34
91 1
3. 82
+19
101 1 1 1
4. 94
+38
132 1 1
5. 79
+43
122 1 1
6. 48
+46
94 1
7. 56
+64
120 1 1
8. 84
+68
152 1 1 1
9. 73
+87
160 1 1
10. 85
+97
182 1 1
1. 79
+64
143 1 1
2. 63
+59
122 1 1
3. 28
+77
105 1 1 1
4. 67
+86
153 1 1
5. 83
+25
108 1
6. 88
+93
181 1 1
7. 27
+85
112 1 1
8. 72
+76
148 1 1
9. 94
+87
181 1 1
10. 75
+58
133 1 1
209
Addition 10 page 23
Addition 11 page 24
Addition 12 page 25
1. 38 2. 49 3. 63 4. 14 5. 25 6. 76
7. 41 8. 8 9. 34 10. 52
Addition 13 page 26
1. 350 2. 790 3. 650 4. 10 5. 220 6. 780
7. 250 8. 90 9. 360 10. 420
Addition 14 page 27
1. 29 2. 28 3. 39 4. 23 5. 29 6. 26
7. 38 8. 39 9. 39 10. 46 11. 34 12. 30
13. 29 14. 39 15. 46 16. 56 17. 38 18. 40
19. 47 20. 38 21. 50 22. 59 23. 69 24. 75
25. 59 26. 79
1. 624
+ 67
691 1
2. 435
+33
468
3. 729
+ 43
772 1 1
4. 247
+ 72
319 1
5. 765
+ 38
803 1 1
7. 574
+ 83
657 1
8. 283
+ 66
349 1
9. 507
+ 88
595 1 1
10. 607
+ 98
705 1 1
11. 378
+ 28
406 1 1
6. 686
+ 93
779 1
12. 776
+ 73
849 1
1. 241
+ 139
380 1
2. 342
+ 176
518 1
3. 263
+ 343
606 1 1
4. 256
+ 171
427 1
5. 435
+ 236
671 1
7. 483
+ 163
646 1
8. 157
+ 309
466 1
9. 282
+ 696
978 1 1
10. 303
+ 208
511 1
11. 246
+ 227
473 1
6. 362
+ 186
548 1
12. 774
+ 144
918 1
210
Addition 15 page 28
Addition 16 page 29
Addition 17 page 30
+ 20 25 30 35 40 45 50 55 60 65
20 40 45 50 55 60 65 70 75 80 85
25 45 50 55 60 65 70 75 80 85 90
30 50 55 60 65 70 75 80 85 90 95
35 55 60 65 70 75 80 85 90 95 100
40 60 65 70 75 80 85 90 95 100 105
45 65 70 75 80 85 90 95 100 105 110
50 70 75 80 85 90 95 100 105 110 115
55 75 80 85 90 95 100 105 110 115 120
60 80 85 90 95 100 105 110 115 120 125
65 85 90 95 100 105 110 115 120 125 130
1. 70 2. 110 3. 140 4. 90 5. 75 6. 115
7. 170 8. 350 9. 140 10. 35
1. 138
+ 177
315 1 1
2. 243
+ 162
405 1
3. 416
+ 225
641 1 1
4. 109
+ 143
252 1
5. 326
+ 135
461 1
7. 206
+ 233
439
8. 255
+ 243
498
9. 409
+ 273
682 1 1
10. 607
+ 98
705 1 1
11. 378
+ 284
662 1 1
6. 277
+ 184
461 1 1
12. 279
+ 376
655 1 1
1. 579
+463
1042 1 1 1
2. 243
+162
405 1
3. 147
272
+ 132
551 1 1
4. 523
+236
759
5. 791
+357
1148 1 1
6. 609
+827
1436 1 1
7. 484
+727
1211 1 1 1
8. 863
+355
1218 1 1
9. 719
+ 464
1183 1 1
10. 107
98
+ 127
332 1 2
11. 321
284
+ 78
683 1 1
12. 273
253
+ 123
649 1
211
Subtraction 1 page 31
1. 64 - 26 = 4 + 30 + 4 =
2. 82 - 37 = 3 + 40 + 2 = 45
3. 65 - 29 = 1 + 30 + 5 = 36
4. 68 - 23 = 7 + 30 + 8 = 45
5. 49 - 25 = 5 + 10 + 9 = 24
Subtraction 2 page 32
1. 76 - 48 = 4 + 20 + 6 = 28
+4 +30 +4
26 30 60 64
38
+3 +40 +2
37 40 80 82
+1 +30 +5
29 30 60 65
+2 +30 +8
23 30 60 68
+5 +10 +9
25 30 40 49
+2 +20 +6
48 50 70 76
212
2. 75 - 34 = 6 + 30 + 5 = 41
3. 165 - 34 = 1 + 30 + 5 = 131
4. 268 - 97 = 3 + 160 + 8 = 171
5. 342 - 225 = 5 + 110 + 2 = 117
Subtraction 3 page 33
1. 106, 97 the difference is 9.
2. 295, 314 the difference is 19.
3. 277, 318 the difference is 41.
+6 +30 +5
34 40 70 75
+6 +120 +5
34 40 160 165
+3 +160 +8
97 100 260 268
+5 +110 +2
225 230 340 342
+3 +6
97 100 106
+5 +14
295 300 314
+23 +18
277 300 318
213
4. 298, 512 the difference is 214.
5. 765, 412 the difference is 353.
Subtraction 4
Subtraction 4 page 34
Subtraction 5 page 35
+2 +200 +12
298 300 512
+88 +200 +65
412 500 700 765
1. 163
- 36
100 +50 + 13
30 + 6 -
100 20 7 _ = 127
2. 174
- 49
100 +60 + 14
40 + 9 -
100 20 5 _ = 125
3. 237
- 155
100 +130 + 7
100 + 50 + 5 -
80 2 _ = 82
4. 526
- 374
400 +120 + 6
300 + 70 + 4 -
100 50 2 _= 152
1. 649
- 78
500 +140 + 9
70 + 8 -
500 70 1 _ = 571
2. 462
- 335
400 +50 + 12
300 +30 + 5 -
100 20 7 _ = 127
3. 758
- 585
600 +150 + 8
500 + 80 + 5 -
200 70 3 _ = 173
4. 862
- 747
800 +50 + 12
700 +40 + 7 -
100 10 8 _= 115
214
Subtraction 6 page 36
Subtraction 7 page 37
Subtraction 8 page 38
Subtraction 9 page 39
1. 86
- 54
32
2. 88
- 35
53
3. 75
- 42
33
1
4. 95
- 82
13
5. 69
- 56
13
8. 374
- 53
321
9. 483
- 42
441
10. 685
- 13
672
1
11. 887
- 46
841
12. 979
- 63
916
6. 48
- 36
12
13. 949
- 30
919
7. 75
- 24
51
1. 344
- 26
318
2. 355
- 48
307
3. 473
- 54
419
1
4. 890
- 74
816
5. 667
- 59
608
8. 474
- 38
436
9. 673
- 45
628
10. 985
- 67
918
1
11. 654
- 76
578
12. 862
- 28
834
6. 244
- 28
216
13. 763
- 48
715
7. 596
- 58
538
3 1 1 4 6 1 8 1 5 1 3 1 8 1
1 6 1 6 7 1 1 4 1 5 1 5 1 5
1. 449
- 77
372
2. 637
- 83
554
3. 846
- 64
782
1
4. 768
- 94
674
5. 249
- 63
686
8. 538
- 77
461
9. 228
- 46
182
10. 985
- 67
918
1
11. 717
- 76
641
12. 359
- 78
281
6. 354
- 81
273
13. 928
- 76
852
7. 315
- 83
232
1 2 1 1 1 1 1 1
1 1 7 1 6 1 1
3 6 1 7 2
4 1 1 2 8
1. 356
- 209
147
2. 527
- 206
321
3. 437
- 245
192
1
4. 643
- 421
222
5. 354
- 268
86
8. 653
- 426
227
9. 427
- 244
183
10. 503
- 211
292
1
11. 923
- 607
316
12. 626
- 382
244
6. 431
- 280
151
7. 972
- 281
691
4 8 1 4 1 1
4 1 1 1 1
3 2 3 3
3 1 5
1 1 1
1
1 4
5
215
Subtraction 10 page 40
- 50 45 40 35 30 25 20 15 10 5
500 450 455 460 465 470 475 480 485 490 495
450 400 405 410 415 420 425 430 435 440 445
400 350 355 360 365 370 375 380 385 390 395
350 300 305 310 315 320 325 330 335 340 345
300 250 255 260 265 270 275 280 285 290 295
250 200 205 210 215 220 225 230 235 240 245
200 150 155 160 165 170 275 180 185 190 195
150 100 105 110 115 120 225 130 135 140 145
100 50 55 60 65 70 75 80 85 90 95
50 0 5 10 15 20 25 30 35 40 45
1. 150 2. 360 3. 250 4. 280 5. 900 6. 400
7. 1920 8. 310 9. 1240 10. 900
Subtraction 11 page 41
1. 200 2. 700 3. 950 4. 60 5. 560 6. 120
7. 760 8. 810 9. 290 10. 340
Subtraction 12 page 42
Subtraction 10
Money 1 page 43
1. £17·55 2. £9·13 3. £15·30 4. £2·72 5. £2·74 6. £18·11
7. £30·11 8. £30·12 9. £8·09 10. £33·11
Money 2 page 44
1. 670p 700p 2. 840p 800p 3. 570p 600p 4. 770p 800p
5. £1·70 £2·00 6. £1·40 £1·00 7. £6·50 £ 7·00 8. £3·90 £4·00
1. 445
- 324
121
2. 456
- 238
218
3. 892
- 364
528
1
4. 484
- 357
127
5. 371
- 126
245
6. 569
- 287
282
7. 753
- 272
481
8. 724
- 536
188
1
9. 453
- 366
87
10. 561
- 293
268
1 6
1 1 1 4 1
8
6 1 5 41
6
1 1 4 7 1
1
1 11
1
1 3 1 4
216
Money 3 page 45
1 £3·30 2. £1·50 3. £2·95 4. £6·75 5. cola milkshake
6. £11·55
Money 4 page 46
1. 2. 3. 4. 5. 6.
£5·45 £5·89 £2·96 £3·82 £7·67 £5·87
+ £3·38 +£2·96 + £3·38 +£6·19 +£3·59 £6·88
£8·83 £8·85 £6·34 £10·01 £11·26 £12·75 1 1 1 1 1 1 1 1 1 1 1
7. 8. 9. 10. 6 1 11. 7 1 12. 7 1
£6·89 £9·78 £2·96 £5·76 £8·37 £8·09
- £4·36 - £6·46 - £1·34 - £4·29 - £4·47 - £4·46
£2·53 £3·32 £1·62 £1·47 £3·90 £3·63
13. 7 1 14. 3 1 15. 0 1 16. 8 1 17. 3 1 18. 5 1
£7·84 £4·79 £6·16 £7·96 £9·46 £6·39
- £4·35 - £1·86 - £3·09 - £4·29 - £8·17 - £4·86
£3·49 £2·93 £3·07 £3·67 £1·29 £1·53
Money 5 page 47
1. £72 2. £112 3. £3·20 4. £6 5. £148 6. £28
Money 6 page 48
1. £10·98 2. £18·49 3. £36·86 4. £79·06 5. £136·90 6. £85·85
7. £80·26 8. £40·43 9. £90·91 10. £448·22
Money 7 page 49
1. £7·62 2. £21·03 3. £31·42 4. £42·22 5. £213·21 6. £22·17
7. £11·92 8. £55·59 9. £32·72 10. £31·19
How are you doing? 1 page 50
1. 3758 3857 4783 4875 5783 2. a. ˂ b. ˃
3. 31 6 1 3 1
a. 367 b. 629 c. 935 d. 357 e. 259 f. 439 g. 476 h. 408 + 42 + 47 + 84 + 45 - 35 - 56 - 48 - 52
409 676 1019 402 224 383 428 356 1 1 1 1 1 1
4. a. £8·56 b. £4·09 c. £0·67 5. -4 6. -12
7. 725 700 675 650 625 600 575
217
Multiplication 1 page 51
1. 5×3=15 5+5+5=15 3+3+3+3+3=15 3×5=15
2. 4×6=24 4+4+4+4+4+4=24 6+6+6+6=24 6×4=24
3. 4×5=20 4+4+4+4+4=20 5+5+5+5=20 5×4=20
4. 2×7=14 7+7=14 2+2+2+2+2+2+2=14 7×2=14
Multiplication 2 page 52
1. 2×5=10 5×2=10 10÷5=2 10÷2=5
2. 4×5=20 5×4=20 20÷5=4 20÷4=5
3. 3×4=12 4×3=12 12÷4=3 12÷3=4
4. 3×7=21 7×3=21 21÷3=7 21÷7=3
Multiplication 3 page 53
1. 40 + 40 = 80 2 × 40 = 80 2. 8 + 8 = 16 2 × 8 = 16
3. 12 + 12 = 24 2 × 12 = 24 4. 30 + 30 = 60 2 × 30 = 60
5. 16 + 16 = 32 2 × 16 = 32
Multiplication 4 page 54
1. 5 × 25 = 125
20 5 = 100
× 5 + 25
125
2. 3 × 49 = 147
40 9 = 120
× 3 + 27
147
3. 4 × 18 = 72
10 8 = 40
× 4 + 32
72
Multiplication 5 page 55
1. 3 × 26 = 78
20 6 = 60
× 3 + 18
78
2. 4 × 29 = 116
20 9 = 80
× 4 + 36
116
25 100
27 120
32 40
18 60
36 80
218
3. 5 × 13 = 65
10 3 = 50
× 5 + 15
65
4. 3 × 53 = 159
50 3 = 150
× 3 + 9
159
5. 5 × 28 = 140
20 8 = 100
× 5 + 40
140
Multiplication 6 page 56
1. 16 2. 19 3. 23
× 7 × 6 × 4
70 (10×7) 60 (10×6) 80 (20×4)
42_ (6×7) 54 ( 9×6) 12 ( 3×4)
112 _ (16×7) 114 (19 ×6) 92 (23×4)
4. 18 5. 26 6. 28
× 5 × 4 × 6
50 (10×5) 80 (20×4) 120 (20×6)
40_ (8×5) 24 ( 6×4) 48 ( 8×6)
90 _ (18×5) 104 (26 ×4) 148 (28×6)
Multiplication 7 page 57
1. 19 2. 24 3. 13
× 5 × 6 × 8
50 (10×5) 120 (20×6) 80 (10×8)
45_ ( 9×5) 24 ( 4×6) 24 ( 3×8)
95_ (16×5) 144 (24 ×6) 104 (13×8)
4. 25 5. 32 6. 17
× 9 × 3 × 9
180 (20×9) 90 (30×3) 90 (10×9)
45_ ( 5×9) 6 ( 2×3) 63 ( 7×9)
225_ (25×9) 96 (32 ×3) 153 (17×9)
7. 45 8. 33 9. 27
× 3 × 4 × 6
`120 (40×3) 120 (30×4) 120 (20×6)
15_ ( 5×3) 12 ( 3×4) 42 ( 7×6)
135_ (45×3) 132 (33×4) 162 (27×6)
15 50
9 150
40 100
219
10. 36 11. 39 12. 47
× 4 × 5 × 6
120 (30×4) 150 (30×5) 480 (40×6)
24_ ( 6×4) 45 ( 9×5) 42 ( 7×6)
144_ (36×4) 195 (39×5) 282 (47×6) Multiplication 8 page 58
1. 29 2. 31 3. 43
× 3 × 4 × 4
60 (20×3) 120 (30×4) 160 (40×4)
27_ ( 9×3) 4 ( 1×4) 12 ( 3×4)
87_ (29×3) 124 (31 ×4) 172 (43×4)
4. 15 5. 22 6. 28
× 6 × 6 × 3
60 (10×6) 120 (20×6) 60 (20×3)
30_ ( 5×6) 12 ( 2×6) 24 ( 8×3)
90_ (15×6) 132 (22 ×6) 84 (28×3)
7. 42 8. 24 9. 52
× 5 × 4 × 2
`200 (40×5) 80 (20×4) 100 (50×2)
10_ ( 2×5) 16 ( 4×4) 4 ( 2×2)
210_ (42×5) 96 (24×4) 104 (52×2)
10. 53 11. 37 12. 33
× 6 × 9 × 6
300 (50×6) 270 (30×9) 180 (30×6)
18_ ( 3×6) 63 ( 7×9) 18 ( 3×6)
318_ (53×6) 333 (37×9) 198 (33×8) 1
Multiplication 9 page 59
1. 26 2. 34 3. 28 4. 21 5. 16 6. 28
× 3 × 2 × 2 × 4 × 5 × 4
78 68 56 84 80 112 1 1 3 1 3
7. 27 8. 34 9. 35 10. 52 11. 34 6. 37
× 3 × 5 × 6 × 3 × 4 × 5
81 170 210 156 136 185 2 2 3 1 1 1 3
220
Multiplication 10 page 60
1. 47 2. 46 3. 37 4. 29 5. 26 6. 48
× 4 × 4 × 5 × 6 × 7 × 5
188 184 185 174 182 240 2 2 1 3 1 5 1 4 2 4
7. 36 8. 35 9. 46 10. 58 11. 49 12. 67
× 8 × 9 × 6 × 6 × 8 × 6
288 315 276 348 392 402 2 4 3 4 2 3 3 4 3 7 4 4
Multiplication 11 page 61
1. 225 2. 275 3. 400 4. 150 5. 200 6. 275
7. Answers include 200 300 400 500 8. Answers include 325 350 375 400
9. Answers include 100 200 25 or 50 125 10. Answers include 100 150 200 250
Multiplication 12 page 62
1. 300 2. 700 3. 1200 4. 2400 5. 3100 6. 7200 7. 1220
8. 5140 9. 29000 10. 21020 11. 30000 12. 24580 13. a, 6 b, 32 c, 203
Multiplication 13 page 63
A. Answers include 7 × 5 = 35 2 × 10 = 20 7 × 3 = 21 8 × 4 = 32 5 × 5 = 25
1 × 2 = 2 4 × 2 = 8 2 × 2 = 4 7 × 4 = 28 8 × 3 = 24 1 × 3 = 3 4 × 10 = 40
B. Answers include 3 × 4 = 12 5 × 4 = 20 7 × 8 = 56 9 × 2 = 18 3 × 12 = 36
5 × 6 = 30 7 × 6 = 42 9 × 8 = 72 10 × 12 = 120 3 × 6 = 18 5 × 6 = 30
7 × 2 = 14 9 × 2 = 18 10 × 8 = 80 3 × 8 = 24 5 × 12 = 60 7 × 12 = 84
Multiplication 14 page 64
1. 43 × 3 = (40 × 3) + (3 × 3) = 120 + 9 =129
2. 34 × 4 = (30 × 4) + (4 × 4) = 120 + 16 =136
3. 65 × 5 = (60 × 5) + (5 × 5) = 300 + 25 =325
4. 47 × 3 = (40 × 3) + (7 × 3) = 120 + 21 =141
5. 59 × 4 = (50 × 4) + (9 × 4) = 200 + 36 =236
6. 67 × 3 = (60 × 3) + (7 × 3) = 180 + 21 =201
Multiplication 15 page 65
1. 59 × 6 = (50 × 6) + (9 × 6) = 300 + 54 =354
2. 46 × 3 = (40 × 3) + (6 × 3) = 120 + 18 =138
3. 27 × 6 = (20 × 6) + (7 × 6) = 120 + 42 =162
4. 69 × 3 = (60 × 3) + (9 × 3) = 180 + 27 =207
5. 78 × 4 = (70 × 4) + (8 × 4) = 280 + 32 =312
6. 84 × 6 = (80 × 6) + (4 × 6) = 480 + 24 =504
7. 93 × 5 = (90 × 5) + (3 × 5) = 450 + 15 =465
221
Multiplication 16 page 66
1. 87 × 8 = (80 × 8) + (7 × 8) = 640 + 56 =696
2. 73 × 5 = (70 × 5) + (3 × 5) = 350 + 15 =365
3. 56 × 9 = (50 × 9) + (6 × 9) = 450 + 54 =504
4. 68 × 7 = (60 × 7) + (8 × 7) = 420 + 56 =476
5. 95 × 8 = (90 × 8) + (5 × 8) = 720 + 40 =760
6. 78 × 7 = (70 × 7) + (8 × 7) = 490 + 56 =546
7. 94 × 9 = (90 × 9) + (4 × 9) = 810 + 36 =846
Multiplication 17 page 67
1. 72 2. 106 3. 140 4. 76 5. 128 6. 54 7. 182 8. 164
9. 300 450 1200 3400 560 1900 600
10. 890 349 2500 234 220 1560 3400
11. 780 4500 2400 140 600 5600 3450
12. 480 13. 1240 14. 1120 15. 940 16. 1860 17. 1760 18. 2400
19. 4800 20. 9000 21. 7200 22. 5600 23. 3200
Multiplication Tables 1 page 68
1. 27 2. 30 3. 72 4. 36 5. 48 6. 56 7. 11 8. 12 9. 12
10. 9 11. 7 12. 8 13. 4 14. 3 15. 2 16. 10 17. 9 18. 6
19. 12 20. 8 21. 11 22. 12 23. 6 24. 6 25. 80 26. 48 27. 72
Multiplication Tables 2 page 69
1. 6 2. 9 3. 20 4. 24 5. 24 6. 33 7. 2 8. 5 9. 5
10. 8 11. 3 12. 0 13. 1 14. 2 15. 3 16. 12 17. 25 18. 80
19. 30 20. 56 21. 48 22. 2 23. 11 24. 8 25. 9 26. 7 27. 9
28. 12 29. 8 30. 8 31. 12 32. 24 33. 30 34. 8 35. 12 36. 7
37. 6 38. 8 39. 6 40. 44 41. 16 42. 54
Multiplication Tables 3 page 70
1. 18 2. 18 3. 63 4. 16 5. 36 6. 81 7. 11 8. 8 9. 7
10. 5 11. 9 12. 12 13. 9 14. 3 15. 5 16. 8 17. 11 18. 4
19. 12 20. 9 21. 12 22. 12 23. 6 24. 3 25. 88 26. 32 27. 96
Multiplication Tables 4 page 71
1. 15 2. 16 3. 30 4. 36 5. 66 6. 90 7. 0 8. 2 9. 3
10. 4 11. 8 12. 7 13. 1 14. 9 15. 7 16. 9 17. 32 18. 45
19. 56 20. 54 21. 81 22. 12 23. 6 24. 9 25. 12 26. 8 27. 8
28. 5 29. 8 30. 9 31. 16 32. 20 33. 60 34. 9 35. 12 36. 5
37. 12 38. 7 39. 12 40. 66 41. 81 42. 36
222
Multiplication Tables 5 page 72
1. 18 2. 14 3. 48 4. 36 5. 72 6. 49 7. 8 8. 6 9. 9
10. 2 11. 8 12. 11 13. 6 14. 6 15. 5 16. 9 17. 7 18. 6
19. 11 20. 8 21. 7 22. 12 23. 4 24. 11 25. 49 26. 36 27. 56
Multiplication Tables 6 page 73
1. 28 2. 18 3. 18 4. 32 5. 27 6. 77 7. 90 8. 6 9. 12
10. 3 11. 0 12. 2 13. 8 14. 7 15. 11 16. 49 17. 54 18. 28
19. 36 20. 42 21. 96 22. 11 23. 12 24. 5 25. 4 26. 7 27. 3
28. 8 29. 9 30. 11 31. 24 32. 22 33. 36 34. 7 35. 8 36. 8
37. 6 38. 7 39. 5 40. 12 41. 88 42. 48
Multiplication Tables 7 page 74
1. 42 2. 81 3. 96 4. 54 5. 121 6. 144 7. 12 8. 7 9. 8
10. 2 11. 11 12. 5 13. 8 14. 7 15. 11 16. 7 17. 12 18. 4
19. 7 20. 12 21. 8 22. 6 23. 12 24. 8 25. 121 26. 96 27. 84
Multiplication Tables 8 page 75
1. 42 2. 45 3. 121 4. 48 5. 63 6. 48 7. 49 8. 12 9. 9
10. 3 11. 8 12. 12 13. 5 14. 7 15. 8 16. 132 17. 45 18. 64
19. 110 20. 36 21. 108 22. 11 23. 7 24. 6 25. 3 26. 4 27. 2
28. 12 29. 6 30. 8 31. 32 32. 55 33. 81 34. 12 35. 9 36. 8
37. 7 38. 9 39. 11 40. 66 41. 121 42. 108
Division 1 page 76
A. 1. 7 2. 6 3. 8 4. 5 5. 6 6. 10 7. 9 8. 12 9. 7 10. 6
B. 1. 12 2. 23 3. 11 4. 22 5. 22 6. 15 7. 34 8. 27 9. 23 10. 16
Division 2 page 77
A. 1. 7r1 2. 4r2 3. 8r4 4. 6r1 5. 8r2 6. 6r1 7. 9r3 8. 9r9
9. 10r3 10. 9r1
B. 1. 14r2 2. 19r2 3. 16r1 4. 22r1 5. 44r1 6. 7r7
C. 1. 31 2. 37 3. 46
Division 3 page 78
1. 27 ÷ 5 = (20 +7) ÷5 = 4+1 remainder 3= 5r2
2. 46 ÷ 4 = (40 +6)÷ 4= 10+1 remainder 2= 11r2
3. 23 ÷ 3 = (18 +5)÷3 =6+1 remainder 2= 7r2
4. 57 ÷ 4 = (40 +17)÷ 4= 10+4 remainder 1= 14r1
5. 38 ÷ 3 = (30 +8)÷ 3= 10+2 remainder 2= 12r2
6. 49 ÷ 4 = (40 +9)÷ 4= 10+2 remainder 1= 12r1
223
Division 4 page 79
1. 68 ÷ 5 = (50 +18)÷ 5= 10+3 remainder 3= 13r3
2. 49 ÷ 4 = (40 +9)÷ 4= 10+2 remainder 1= 12r1
3. 37 ÷ 3 = (30 +7)÷ 3= 10+2 remainder 1= 12r1
4. 97 ÷ 8 = (80 +17)÷ 8= 10+2 remainder 1= 12r1
5. 86 ÷ 7 = (70 +16)÷ 7= 10+2 remainder 2= 12r2
6. 79 ÷ 6 = (60 +19)÷ 6= 10+3 remainder 1= 13r1
7. 69 ÷ 4 = (60 +9)÷ 4= 15+2 remainder 1= 17r1
Division 5 page 80
1. 78 ÷ 5 = 5) 78
- 50 (10 × 5)
28
- 25 ( 5× 5)
_ 3 The answer is 15 r 3
3. 66 ÷ 5 = 5) 66
- 50 (10 × 5)
16
- 15 ( 3× 5)
_ 1 The answer is 13 r 1
Division 6 page 81
1. Estimate 96÷6=16
97 ÷ 6 = 6) 97
- 60 (10 × 6)
37
- 36 ( 6× 6)
1 The answer is 16r1
3. Estimate 72÷6=12
76 ÷ 6 = 6) 76
- 60 (10 × 6)
16
- 12 ( 2× 6)
_ 4 The answer is 12 r 4
5. Estimate 80÷5=16
82 ÷ 5 = 5) 82
- 50 (10 × 5)
32
- 30 ( 6× 5)
2 The answer is 16r2
2. 94 ÷ 6 = 6) 94
- 60 ( 10 × 6)
34
- 30 ( 5 × 6)
4 The answer is 15r4
2. Estimate 60÷5=12
63 ÷ 5 = 5) 63
- 50 ( 10 × 5)
13
- 10 ( 2 × 5)
3 The answer is 12r3
4. Estimate 70÷7=10
74 ÷ 7 = 7) 74
- 70 ( 10 × 7)
4
The answer is 10r4
6. Estimate 90÷6=15
91 ÷ 6 = 6) 91
- 60 ( 10 × 6)
31
- 30 ( 5 × 6)
1 The answer is 15r1
224
Division 7 page 82
1. Estimate 96÷6=16
93 ÷ 8 = 8) 93
- 80 (10 × 8)
13
- 8 ( 1× 8)
5 The answer is 11r5
3. Estimate 100÷4=25
99 ÷ 4 = 4) 99
- 80 (20 × 4)
19
- 16 ( 4× 4)
_ 3 The answer is 24 r 4
5. Estimate 54÷9=6
56 ÷ 9 = 9) 56
- 54 (6 × 9)
2
The answer is 6r2
Division 8 page 83
1 Estimate 66÷6=11
70 ÷ 6 = 6) 70
- 60 (10 × 6)
10
- 6 ( 1× 6)
4 The answer is 11r4
3. Estimate 54÷9=6
58 ÷ 9 = 9) 58
- 54 (6 × 9)
4
The answer is 6 r 4
5. Estimate 81÷9=9
84 ÷ 9 = 9) 84
- 81 (9 × 9)
3
The answer is 9r3
2. Estimate 80÷4=20
87 ÷ 4 = 4) 87
- 80 ( 20 × 4)
7
4 ( 1 × 4)
3
The answer is 21r3
4. Estimate 60÷3=20
64 ÷ 3 = 3) 64
- 30 ( 20 × 3)
4
3 ( 1× 3)
1 The answer is 21r1
6. Estimate 70÷7=10
78 ÷ 7 = 7) 78
- 70 ( 10 × 7)
8
7 ( 1 × 7)
1
The answer is 11r1
2. Estimate 72÷8=9
77 ÷ 8 = 8) 77
- 72 ( 9 × 8)
5
The answer is 9r5
4. Estimate 72÷6=12
77 ÷ 6 = 6) 77
- 60 ( 10 × 6)
17
12 ( 2 × 6)
5 The answer is 12r5
6. Estimate 98÷7=14
99 ÷ 7 = 7) 99
- 70 ( 10 × 7)
29
- 28 ( 4 × 7)
1 The answer is 14r1
225
four thousand
Division 9 page 84
1. £60 2. 20mm 3. 80 4. 22 5. £23 6. 35km 7. 14 8. 200g
9. half of 32=16,half of 16=8 10. half of 100g=50g,half of 50g=25g
11. half of £60=£30,half of £30 =£15 12. half of 36=18,half of 18=9
13. half of 64m=32m,half of 32m=16m 14. half of 400=200,half of 200=100
15. half of 72=36,half of 36=18 16. half of 44=22,half of 22=11
17. half of 60km=30km,half of 30km=15km
Division 10 page 85 A
1. 40 2. 71 3. 14 4. 29 5. 32 6. 72 7. 122 8. 514 9. 290 10. 420
B.
1. four hundred 2. ten 3. one hundred 4. ninety 5. three hundred
6. seven thousand 7. two hundred 8. five thousand 9. nine hundred 10.
Division 11 page 86
1. 47 ÷ 5 = 9 × 5 = 45, 47 ÷ 5 = 9 r 2 2. 35 ÷ 6 = 5 × 6 = 30, 35 ÷ 6 = 5 r 5
3. 67 ÷ 10 = 6 × 10 = 60, 67 ÷ 10 = 6 r 7 4. 17 ÷ 4 = 4 × 4 = 16, 17 ÷ 4 = 4 r 1
5. 26 ÷ 3 = 8 × 3 = 24, 26 ÷ 3 = 8 r 2 6. 78 ÷10 = 7 ×10 = 70, 78 ÷ 10 = 7 r 8
7. 15 ÷ 4 = 3 × 4 = 12, 15 ÷ 4 = 3 r 3 8. 37 ÷ 6 = 6 ×6 = 36, 37 ÷ 6 = 6 r 1
9. (6 × 7) + 1 10. (6 × 10) + 4 11. ( 5 × 15) + 3 12. ( 6 × 100) + 47
13. (4 × 4) + 1 14. (9 × 5) + 3 15. (8 × 3) + 3 16. (6 × 7) + 4
Division 12 page 87
1. 6 2. 6r8 3. 3r2 4. 8r2 5. 6 6. 6 7. 7r 1 8. 4r4 9. 10r1
10. 7r3 11. 5r3 12. 7r1 13. 6 14. 5r4
Division 13 page 88
1. 8 2. 5 3. 7 4. 5 5. 9 6. 3 Multiplication and Division 1 page 89
A. 1. 21 2. 24 3. 54 4. 4 5. 9 6. 9 7. 7 8. 5 9. 36 10. 6
B. 1. 36 2. 28 3. 8 4. 6 5. 7 6. 7 7. 9 8. 4 9. 72 10. 54
11. 6 12. 56
Multiplication and Division 2 page 90
1. a. £8 b. £6 c. £20 d. £10 2. a. £8 b. £64 3. a. £24 b. £96
Multiplication and Division 3 page 91
1. 6 2. £60 3. Windsurfer and surfboard 4. £100 5. canoes 6. £32
226
Multiplication and Division 4 page 92
1. 110 ÷ 2 = 55 2. 190 ÷ 2 = 95 3. 130 ÷ 2 = 65 4. 300 ÷ 2 = 150
5. 160 ÷ 2 = 80 6. 340 ÷ 2 = 170 7. 250 ÷ 2 = 125 8. 170 ÷ 2 = 85
9. 360 ÷ 2 = 180 10. 600÷ 2 = 300 11. 420 ÷ 2 = 210 12. 270 ÷ 2 = 135
Multiplication and Division 5 page 93
1. (14×10) ×2 = 140 × 2 = 280 2. (15×10) ×2 = 150 × 2 = 300 3. (11×10) ×2 = 110 × 2 = 220 4. (20×10) ×2 = 200 × 2 = 400 5. ( 8×10) ×2 = 80 × 2 = 160 6. (17×10) ×2 = 170 × 2 = 340 7. (22×10) ×2 = 220 × 2 = 440 8. (24×10) ×2 = 240 × 2 = 480 9. (36×10) ×2 = 360 × 2 = 720 10. (50×10) ×2 = 500 × 2 = 1000 11. (42×10) ×2 = 420 × 2 = 840 12. (31×10) ×2 = 310 × 2 = 620
Multiplication and Division 6 page 94
1. 3×6=18 2. 6×3=18 3. 18÷3=6 4. 18÷6=3
5. 7×6=42 6. 6×7=42 7. 42÷6=7 8. 42÷7=6
9. 4×9=36 10. 9×4=36 11. 36÷9=4 12. 36÷4=6
13. 8×6=48 14. 6×8=48 15. 48÷8=6 16. 48÷6=8
Multiplication and Division 7 page 95
1. 15 2. 20×5= 100 3. 25÷5=5 4. 7×5=35 5. 10p÷5=2p 50×2p=£1
6. 300÷5=60 7. 70÷10=7 7×£1 =£7 8. 11 × 5 =55
Multiplication and Division 8 page 96
1. 35÷5=7 2. a. £42÷6=£7 b. 8×£7=£56 3. a. £27÷3=£9 b. £9×6=£54
4. a. £30÷15=£2 b. 9×£2=£18
How are you doing? 2 page 97
1. 7× 23 = 161 2. 6 × 58 = 348
20 3 50 8
× 7 × 6
3. 37 4. 58 5. a. 34×10=340 b. 432×10=4320 c. 670÷10=67
× 9 × 6
333 348 3 6 3 4 d. 28÷4=7 e. 42÷6=7 f. 35÷7=5 g. 66÷6=11 h. 45÷4=11r1
i. 37÷3=12r1 j. 14×20=280 k. 26×5=130
6. a. 370 b. 468 c. 1150 d. 3185
21 140 300 48
227
Fractions and decimals 1 page 98
1.
2 is the same as 4
5 10
2.
1 is the same as 2
3 6
3.
1 is the same as 2
5 10
Fractions and Decimals 2 page 99
1.
3 is the same as 6
4 8
2.
4 is the same as 8
5 10
3.
2 is the same as 4
3 6
4.
3 is the same as 6 5 10
228
1
3
1
4
4
3
10
7
10
2
3
3
5
1.
Fractions and Decimals 3 page 100
1.
2. 1 = 3. 1 = 4. 1 = 5. =
Fractions and Decimals 4 page 101
2. + 3 = 1
3. + = 1
4.
+ = 1 5.
+ + = 1
3
4
6
10
7
8
3
5
2
5
1
5
4
4
5
5
3
3
10
10
3
4
2
12
4
8
1
6 2
3
1
4
2
5
229
1 2
1
3
2
5
3
4
4
5
1 3
1
4
1
5
1
3
1 4
1
4
1
5
1
5
1
10
1
10
1 3
1 2
1 3
1
4
1
3
1
5
1
2
1
10
1 7
1
5
Fractions and Decimals 5 page 102
1. 2 2. 3 3. 1 4. 1 5.
6. a.
b.
Fractions and Decimals 6 page 103
1. 15 ÷ 3 = × 15 = 5 2. 24÷4 = × 24 = 6 3. 30 ÷ 5 = × 30 = 6
4. 35 ÷ 5 = × 35 = 7 5. 130÷10 = × 130 = 13 6. 20 ÷ 2 = 10
7. 90 ÷ 10 = 9 8. 500 ÷ 10 = 50 9. 60 ÷ 5 = 12
10. 120 ÷ 5 = 24 11. 500 ÷ 5 = 100
Fractions and Decimals 7 page 104
1. The red sweets are the sweets in the box.
2. The red sweets are the sweets in the box.
3. The red sweet is the sweets in the box.
4. The red sweets are the sweets in the box. 5. 6. 7.
8. 9. 10. 11. 12.
1
3
3
1
230
1
5
3
5
1
3
1 10
1 8
1
6
1
5
1 4
1 8
1
6
1 3
2
3
4
7
3
7
3 5
2 5
3
6
1
2
1
4
1
4
1
2
1
3
1
6
1
5
2
5
2
5
1 2
1
8
3
8
3
4
2
3
3
5
5 8
4 9
4 10
3
7
2
8
5
10
4
8
2 8
1
4
2
10
1
5
1
2
4
8
4
10
2
5
4 5
2 3
2 10
3
10
4
10
5 10
6 10
1
2
5
1
1
1
1
0
0
6
10
1
10
2 10
3 10
9 10
2
10
6 10
8
10
5 8
3
8
6
12
Fractions and Decimals 8 page 105
1. a fifth 2. a quarter 3. an eighth 4. a sixth
5. orange grey 6. orange grey
7. orange grey 8. orange grey
Fractions and Decimals 9 page 106
1. red blue green 2. red blue green
3. red blue green 4. red blue green
5. 6. 7. 8. 9. 10. 11. 12.
Fractions and Decimals 10 page 107
.1 2. 3. 4. 5. = 6. = 7. = 8. =
Fractions and Decimals 11 page 108
1. 22
0 1 1 0
3. 0 1
4. 5. 0
6. 1 2 3 5 7. 1 2 5 7 6 6 6 6 8 8 8 8 8. 1 2 3 4 9. 1 5 7 9 5 5 5 5 10 10 10 10 Fractions and Decimals 12 page 109
A. 1. 1·3 2. 3·2 3. 4·7 4. 0·4 5. 3·8 6. 7·2 7. 6·9 8. 3·1
B. 1. 4 2. 2 3. 1 4. 5 5. 3 6. 7. 2 8. 7
2.
7
10
8
10
9
10
2
6
4
6
3
6
5
6
2 8
3
8
4
8
6
8
7
8
6 10
5
10
5
8
1
231
Fractions and Decimals 13 page 110
1.
2 2·1 2·2 2·3 2·4 2·5 2·6 2·7 2·8 2·9 3 3·1 3·2 3·3 3·4
2. 5 5·1 5·2 5·3 5·4 5·5 5·6 5·7 5·8 5·9 6 6·1 6·2 6·3 6·4
3.
0 0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9 1 1·1 1·2 1·3 1·4
4.
7 7·1 7·4 7·6 8 8·1 8·3
5. 0·7cm 2·9cm 5·6cm 6·1cm 6·5cm 6. 0·1m 0·5m 0·9m 1·2m 2·6m
Fractions and decimals 14 page 111
A. 1. 260p 2. 173p 3. 53p 4. 296p 5. 399p 6. 547p
B. 1. £2·45 2. £3·83 3. £0.27 4. £10·96 5. £1·99 6. £7·04
C. 1. 2·95m 2. 1·24m 3. 3.45m 4. 0·06m 5. 0·27m 6. 11·62m
Fractions and decimals 15 page 112
A. 1. 172p 2. 603p 3. 97p 4. 116p 5. 9p 6. 940p
B. 1. £0·05 2. £0·16 3. £0.78 4. £7·46 5. £2·49 6. £1·01
C. 1. £2·76 £1·47 91p 45p £0·19 2. £2·11 £1·02 60p 6p £0·04
3. 423p 301p £2·20 £0·31 £0·01
Fractions and Decimals 16 page 113
A. 1. 250 125 2. 900 450 3. 26 13 4. 58 29 5. 108 54
6. 130 65 7. 750 375 8. 690 345
B. 1. 16 4 2. 40 10 3. 80 20 4. 800 200 5. 36 9
6. 1000 250 7. 300 75 8. 900 225 C. 1. 800 100 2. 160 20 3. 240 30 4. 320 40
D. 1. 360 60 2. 600 100 3. 180 30 4. 240 40
Fractions and Decimals 17 page 114
A. 1. 16 = 12 2. 400=300 3. 100=75 4. 24=18 5. 1000=750 6. 600=450 7. 48=36 8. 96=72
B. 1. 9=6 2. 18=12 3. 24=16 4. 21=14 5. 36=24
232
1 5
3 5
1
5
2 6
1 6
1
4
3
4
3
4
1
4
1
5
4
5
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3
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4 5
2 5
2
5
4 5
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5
4 5
4 5
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3
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1
6
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3
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4 6
5 6
5 6
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6
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3 4
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3
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5 6
1
4
1 6
1 6
5 6
3
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4 6
1
2
1
2
1
4
7
8
6
8
1 8
5
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5
3
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2 6
1
5
1
2
1 5
3 5
1
2
1 3
2
4
1
5
3
5
1
2
6. 99=66 7. 300=200 8. 75=50
C. 1. 20=8 2. 30=12 3. 600=240 4. 150=60
D. 1. 36=30 2. 600=500 3. 180=150 4. 240=200
Fractions and Decimals 18 page 115
1.
3 3 3 3 3 4 4 4 4 4 5 5 5 5 5
2.
8 8 8 8 8 8 9 9 9 9 9 9 10 10 10
3. 2 2 3 3 4
4. 3 3 5 5 6
5. 3 3 4 4 5
6.
3 3 4 4 5
5 5 6 6 7 ---
Fractions and Decimals 19 page 116 1. 2. 3. 0 1 0 1 0 1
4. 5. 0 1 0 1
6. 0 1
7.
0 1
6.
1.
2.
7.
1 8
1 10
2
3
3
8
1
4
3 4
3 5
4
5
2
5
3 6
4
6
5
6
1 6
2
8
4
8
5 8
6
8
7 8
7
10
8
10
9
10
6
10
5 10
4
10
3
10
2
10
1
4
3
8
233
less than
equal to
greater than
Factions and Decimals 20 page 117
1.
2. 3. 4.
5.
Fraction and Decimals 21 page 118
1. 2.
Answer 1 biscuits each Answer a cake each
1
2
1
2
1
2
3
6
|
5
10
4
10
3 10
2
10
1 10
1
4
4 8
3 8
2
8
1
8
1
3
2 6
1
6
2 5
1
5
6
10
7 10
8
10
9
10
7
8
6
8
5
6
4
6
3
5
4 5
2
3
3
4
1 4
1 8
1 16
3
4
6 8
12 16
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1
5
2
10
4
20
8
40
3
5
6
10
12
20
24
40
1
3
1
2
5
8
|
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|
|
234
1
10
1 5
5
100
1
100
2
100
3
100
4
100
78
100
6
100
7
100
8
100
9
100
10
100
11
100
12
100
13
100
14
100
96
100
2
100
17
100
3. 4.
Answer of a cake each Answer of a packet each
Fractions and Decimals 22 page 119
1.
0 1 1 1 1 1 0·1 0·2 0·3 0·4 0·5 0·6 0·7 0·8 0·9 1 1·1 1·2 1·3 1·4
2. a. 5·7 b. 3·2 c. 10·3 d. 12·9
3. a. 3 b. 15 c. 14 d. 17 4.
6 6·2 6·6 6·9 7 7·1 7·4
5. 6 6 6 7
Fractions and Decimals 23 page 120
1. 0
2.
1·50 1·51 1·52 1·53 1·54 1·55 1·56 1·57 1·58 1·59 1·60 1·62 1·63 1·64
3. a. 0·33 b. 0·56 c. 0·41 d. 0·07 4. a. b. c. d.
Ratio and Proportion 1 page 121
1. a. 9 b. 4 c.
Clover 1 2 3 4 5 6 7 8
Leaves 3 6 9 12 15 18 21 24
2.
Apple 1 2 3 4 5 6 7 8
Pips 5 10 15 20 25 30 35 40
3.
Pods 1 2 3 4 5 6 7 8
Peas 7 14 21 28 35 42 49 56
4.
Bunches 1 2 3 4 5 6 7 8
Grapes 12 24 36 48 60 72 84 96
4 4
4
4
4
4
3 8
5
9
2
10
3
10
4
10
5
10
6 10
7
10
8
10
9
10
2
10
1
10
3
10
4
10
4
10
1
10
9
10
2
10
2
10
6 10
9
10
1
10
4
10
1·61
0
3
8
5
9
235
Ratio and Proportion 2 page 122
1. 1 out of 5 circles is red 2. 2 out of 6 circles are red 3. 2 out of 7 circles are red
4. 3 out of 8 circles are red 5. ABBBABBBABBBA 1 in every 4 letters is A
6. CDCDCDCDCD 1 in ever 2 letters is C 7. EEEEFEEEEFE 1 in every 5 letters is F
8. GHHGHHGHH 2 in every 3 letters are H.
Answers such as: 9. OOOXXOOOXX 10. LLLLPPPLLLLPP Ratio and Proportion 3 page 123
1. 1 in 4 is a triangle 2. 2 in 8 are triangles 3. 3 in 12 are triangles
4. 4 in 16 are triangles 5. 2 in 5 are triangles 6. 4 in 10 are triangles
7. 6 in 15 are triangles 8. 20 in 50 are triangles 9. 1 in 10 are triangles
10. 3 in 30 are triangles 11. 5 in 50 are triangles 12. 9 in 90 are triangles 13. 3 in 8 are triangles 14. 6 in 16 are triangles 15. 9 in 24 are triangles
16. 30 in 80 are triangles
Ratio and Proportion 4 page 124
1. 5 out 7 are blue. are blue. 2. 2 out of 7 are blue are blue.
3. 7 out of 10 are blue. are blue. 4. 4 out of 10 are blue. are blue.
5. 9 out of 10 are blue. are blue. 6. 3 out of 8 are blue. are blue.
Calculator Skills 1 page 125
1. 2088 2. 804 3. 382 4. 246 5. 116281 6. 752 7. 49
8. 207936 9. 1512 10. 3 11. 177 12. 1254 13. -11 14. -121
15. -90 16. -1532 17. -996 18. -2201
Calculator Skills 2 page 126
1. £108·51 2. £11·79. 3. £8·72 4. £376·48 5. £3·57. 6. £18·08
7. £18·07 8. £942·50 9. £61·80 10. £5·94 11. £7·28 12. £393.61
13. £16·39 14. £8·43. 15. £20·28 16. £2·56.
Calculator skills 3 page 127
1. 8 × 60 =480 2. 16×5=80 3. 63÷9=7 4. 24 + 20 = 44 5. 9 × 19 =171
6. 49 ÷ 7 = 7 7. 63–21=42 8. 43×359=15437 9. 207 -108 = 99
10. 3 × 27 + 63=144 11. 160 + 98= 258 12. No a. 1104 b. 322
Calculator Skills 4 page 128
1. 84 85 2. 146 147 3. 923 924 4. 20 × 3 = 60 62·744
5. 500÷50=10 10·034253 6. 500÷100=5 5·0440595
5
7
4
4
2
7
4
4
7 10
4
4
3 8
4
4
4 10
4
4
9
10
4
4
236
2 10
1 2
7 10
9
10
1
4
3
4
1
2
3
10
1
10
9
10
3
4
7
10
1
4 1
10
1
2 1
4
3
10
1
2
Measuring 1 page 129
4cm5mm 4·5cm 4 cm 6cm 2mm 62mm 6 cm
6cm 7mm 6·7cm 6 cm 5cm 9mm 59mm 5 cm
Measuring 2 page 130
B.
1. 4m 35cm 2. 1m 36cm 3. 424cm 4. 380cm 5. 380cm 6. 25cm
7. 278cm
Measuring 3 page 131
A. 1. 460cm 2. 550cm 3. 500cm 4. 680cm
B. 1. – 6. Own results
Measuring 4 page 132
1. m 2. m 3. m 4. m 5. m
6. 30cm = 300mm = m 7. 90cm = 900mm = m
8. m = 700mm = 70cm 9. m = 750mm = 75cm
10. 250mm= m = 25cm 11. 100mm = m = 10cm
12. 50cm = m = 500mm 13. 25cm = m = 250cm
14. 300mm = 30cm = m
1. 2. 3.
4. 5.
6. 7.
8. 9.
1. 2.
3. 4
5
A.
237
1
2 1
4 3
4 9
10
1
4 3
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10
Measuring 5 page 133
km m
km 500 m
km 250 m
km 750 m
km 900 m
2km 2000 m
km 905m 950m 1km 1km 100m 1 m
Measuring 6 page 134
1. 50g 2. 80g 3. 100g 4. 240g 5. 38g 6. 6g 7. 59g 8. 1110g
9. 610g 10. 320g 11. 2350g
Measuring 7 page 135
1. 200g 2. 500g 3. 1000g 4. 250g 5. 100g 6. 750kg 7. 5400g
8. 2250g 9. 4600g 10. 3750g 11. 3 kg 12. 1 kg 13. 7 kg 14. 6 kg
Measuring 8 page 136
a. 500g + 500g + 200g b. 500g +200g + 100g c. 500g + 500g + 500g + 100g
d 500g + 200g + 200g e. 200g + 200g f. 500g + 500g + 100g + 200g
Measuring 9 page 137
a. 200g + 50g b. 100g + 50g c. 500g + 200g + 200g + 50g
d. 200g + 200g + 50g e. 500g + 500g + 500g +200g +200g
f. 500g +500g + 500g + 500g + 50g
Measuring 10 page 138
1. 250g + 150g + 170g = 570g 2. 150g + 225g + 25g = 400g
3. 225g + 170g + 25g = 420g 4. 170g + 75g +250g =495g
5. 25g +150g +75g = 250g 6. 250g + 150g +225g +170g + 25g +75g = 895g
7. 1080g 8. 500g Measuring 11 page 139
1. a. 200 ÷ 50 = 4g per penny b. 450 ÷ 100 = 4·5g per penny
Orange rounds are the best value
2. a. 10g b. 22·5g 3. 15 servings 4. 75g
238
1
2
1
4
3
4
1
10 3
10
1
4 3
4
1
4
5
8 1
3
4
10 1
2
4
8
2
6 1
3 6
10 22
100
Measuring 12 page 140
Answers include
1. 1 litre = 500ml + 250ml + 250ml 2. litre = 250ml + 200ml + 50ml
3. litre = 250ml 4. litre = 250ml +250ml +250ml
5. litre = 100ml 6. litre = 300ml
7. 1000ml 8. 4 9. 2000ml 10. 10
Measuring 13 page 141
1. 350ml 2. 600ml 3. 450ml 4. 850ml 5. 600ml 6. 410ml 7. 875ml
8. 290ml 9. 2250
Measuring 14 page 142
1. 6·5l 6 l 6l 500ml 6000ml + 500ml 2. 3·25l 3 l 3l 250ml 3000ml + 250ml
3. 1·75ml 1 l 1l 750ml 1000ml + 750ml
a. 1768ml 1770ml 1800ml b. 1517ml 1520ml 1500ml
c. 4251ml 4250ml 4300ml Measuring 15 page 143
1. E 2. 3 3. 5 4. 10 5. 2 6. 15 7. 800ml 8. 350ml 9. 10
Measuring 16 page 144
1. vase 2. 700ml 3. 4 4. 9 5. 400ml 6. 1300ml
Measuring 17 page 145
1. a. 15 b. 1500ml 2. a. 25 b. 150ml 3. 555ml How are you doing? 3 page 146
1. 2. 3. 4. 5. = 6. =
7. a. 20 b. 28 c. 80 d. 136 8. a. 4 b. 12 9. a. 440cm b. 910cm c. 1000cm 10. a. 1000ml b. 5
Time 1 page 147
1. Twenty past one 2. Ten to eight 3. Twenty five past three
4. Seven minutes past eight 5. Twenty five past five 6. Twenty to two
7. 4:03 4:04 4:05 8. 12:36 12:38 12:40 9. 3:00 3:02 3:04
10. 9:32 9:35 9:38
1
2
239
Time 2 page 148
1. 3:48 Three forty eight forty-eight minutes past three twelve minutes to four
2. 6:34 six thirty four thirty-four minutes past six twenty six minutes to seven
3. 10:57 Ten fifty seven fifty-seven minutes past ten three minutes to eleven
4. 11:41 Eleven forty one forty-one minutes past eleven nineteen minutes to twelve
5. a. 11:31 b. 11:01 c. 10:37 d. 11:05
6. a. 5:24 b. 7:09 c. 6:54
Time 3 page 149
1. Jayne Julia Paul
2. Philip 1 minute 12 seconds Wayne 1 minute 1 second Sheila 1 minute 4 seconds
3. Mr Smith 120 minutes 2hours
Mr Yang 132 minutes 2 hours 12 minutes
Mr Brown 115 minutes 1 hour 55minutes
Mr Carter 143 minutes 2 hours 23 minutes
Mr Snape 119 minutes 1 hour 59 minutes
4. a. Mr Smith 11:30 b. Mr Yang 11:42 c. Mr Brown 11:25
d. Mr Carter 11:53 e. Mr Snape 11:29
Time 4 page 150
1.
Station Road 9:05 9:40 10:20 10:55 11:30
High Street 9:10 9:45 10:25 11:00 11:35
Old Town 9:15 9:50 10:30 11:05 11:40
Hospital 9:20 9:55 10:35 11:10 11:45
Station Road 9:25 10:00 10:40 11:15 11:50
2. 20 minute 3. 15 minutes
4.
Bus Number Station Road City Airport
1 8:05 am 8:40 am
2 9:15 am 9:50 am
3 10:25 am 11:00 am
4 11:35 am 12:10 pm
5 12:45 pm 1:20 pm
5. 10:05
Shape 1 page 151
1. kites f and i
2. Own pictures
240
Shape 2 page 152
1. 16cm 2. 12cm 3. 6cm 4. 8cm 5. 8cm 6. 10cm 7. 12cm
8. 10cm 9. 12cm 10. 12cm
Colour the same 2, 7, 9, 10 also 4, 5, and 6, 8
Shape 3 page 153
1. 6cm
2. Answers include rectangles 8cm by 4cm, 10cm by 2cm, 3cm by 9cm, 11cm by 1cm
241
Shape 4 page 154
equilateral isosceles Right-angled other
a e
d f
b g i j
h c
Shape 5 page 155
a. rectangle b. triangle c. octagon d. pentagon e. hexagon f. hexagon
1. equilateral 2. hexagons 3. isosceles 4. heptagons 5. quadrilateral 6. octagons
Shape 6 page 156
regular irregular
has line of symmetry has no line symmetry has has 5 or more sides has less than 5 sides
triangle quadrilateral
a j
d f h k c g
regular irregular
c h k
a j
d e f g i
5
4
1 2
6
7
regular irregular
a b j
c d f g h k
b e i
3
242
Shape 7 page 157
a5 b4 c1 d3 e2 f6 g9 h7 i8
Shape Is a prism Number of
faces
Number of
edges
Number of
corners
cone × 2 1 1
hemi sphere × 2 1 0
cuboid √ 6 12 8
square pyramid × 5 8 5
cylinder × 3 2 0
triangular pyramid × 4 6 4
triangular prism √ 5 9 6
hexagonal prism √ 8 18 12
cube √ 6 12 8
Shape 8 page 158
1. triangular prism 2. cuboid 3. cube 4. triangular pyramid
5. square pyramid 6. cuboid
Shape 9 page 159
a (2,6) b (7,7) c(1,4) d(6,5) e(4,2) f(6,3)
Shape 10 page 160
A 8cm² B 6cm² C 20cm² D 9cm² E 18cm² F 14cm²
36 cm²
243
Shape 11 page 161
2 28 cm²
1 18 cm²
4 25 cm²
3 42 cm²
244
Shape 12 page 162
An answer such as the shape below
1. 18 cm² 2. 21 cm²
3. 16 cm² 4. 24 cm²
245
Shape 13 page 163
Answers such as
1
2 3
4
1
5
6
246
Shape 14 page 164
Number of shape 1 2 3 4 5 6 7
Area in cm² 4 5 6 7 8 9 10
Perimeter in cm 10 12 14 16 18 20 22
What is the area 15cm² and perimeter 32cm
of the 12th shape?
1 2 3
4 5
6 7
247
Shape 15 page 165
248
1
2 1
2
Shape 16 page 166
1. diameter 5 cm radius 2 cm 2. diameter 3cm radius 1 cm
3. diameter 6cm radius 3cm 4. diameter 4cm radius 2cm
Shape 17 page 167
1. East 2. South 3. South west 4. South east 5. North 6. North west
7. North west 8. North
Shape 18 page 168
1. a. North b. windmill 2. a. South east b. hay barn
3. a. North west b. wheat field 4. 90º 5. 45º
Shape 19 page 169
A = 8 squares B = 9 squares C = 16 squares D = 12 squares E = 16 squares
F = 32 squares Shape F has the largest area Shape A has the smallest area
Shape 20 page 170
1.
Shape 21 page 171
1. 2 8 9 2. 1 3 10 11 3. 6 7
2. 3. 4
249
Handling Data 1 page 172
1.
Ride Tally Frequency
Dodgems ||̷|| ||| 8
Big Wheel |||̷| |||̷| || 12
Roller Coaster ||̷|| ||̷|| ||̷|| | 16
Roundabout ||̷|| || 7
a. 7 b. 12 c. 16 d. 43 2.
Eating Place Tally Frequency
Pizza Parlour ||̷|| |||| 9
Burger Bar |||̷| | 6
Café ||̷|| ||̷|| || 12
Fish & Chip Shop ||̷|| ||̷|| 10
a. The Café b. 37 c. 3
Handling Data 2 page 173
1. Favourite Meal
Meal Tally Frequency
Pizza ||̷|| ||̷|| |||| 14
Burger ||̷|| |||| 9
Roast Dinner ||̷|| ||̷|| ||̷|| | 16
Fish and Chips ||̷|| ||̷|| || 12
a. 5 b. Roast Dinner c. 51
2. Own answers
Handling Data 3 page 174
1. Favourite Food
Food Tally Frequency
cake ||̷|| ||̷|| 10
biscuits |||| 4
ice cream ||̷|| ||̷|| ||| 13
pizza ||̷|| 5
1. biscuits 2. 13 3. 5 4. 32
250
Handling Data 4 page 175
Name Tally Frequency
vegetable ||̷|| ||̷|| ||̷|| ||̷|| 20
tree ||̷|| ||̷|| 10
furniture ||̷|| ||̷|| 10
city ||̷|| ||̷|| ||̷|| 15
Names
Vegetable
Tree
Furniture
City
1. 10 2. 15 3. vegetable
Key = 5
Handling Data 5 page 176
Name Tally Frequency
circle ||̷|| ||̷|| ||̷|| ||̷|| |||| 24
triangle ||̷|| ||̷|| ||̷|| ||̷|| 20
pentagon ||̷|| ||̷|| ||̷|| | 16
rectangle ||̷|| ||̷|| 10
Shapes
circle
triangle
pentagon
rectangle
Key = 4 shapes 1. circle 2. 70
251
Handling Data 6 page 177
Pet dog cat fish horse mouse Number
of
Children
14 8 3 5 2
Class 4’s favourite Pets
9: dog cat fish horse mouse
2. 5 3. dog 4. 5 5. mouse
Handling Data 7 page 178
Class 4’s favourite biscuits
| | | | | | |
chocolate bourbon custard jammy rich
cream dodger tea
Biscuit
1. chocolate 2. 5 3. 19 4. 40
Number of
Children
0
4
8
12
Number of
Children
Number of
Children
16
4
8
12
0
252
Handling Data 8 page 179
1. 11 2. 5 3. 6 4. 66
5. Numbers Rolled Number Tally Number of rolls
1 ||̷|| ||̷|| | 11
2 ||̷|| ||| 8
3 ||̷|| ||̷|| |||| 14
4 ||̷|| ||̷|| | 11
5 ||̷|| ||̷|| 10
6 ||̷|| ||̷|| || 12
Handling Data 9 page 180
Examples such as:
Fruit sold in the Corner Shop in one day
apples bananas plums pears oranges lemons
Fruit sold in the Corner Shop in one day
apples bananas plums pears oranges lemons
Number
of fruit
sold
Number
of fruit
sold
4
8
12
16
20
28
32
36
3
6
9
12
15
18
27
30
33
36
0
24
21
24
0
253
Handling Data 10 page 181
Examples such as:
Fruit sold in the Village Shop in one day
apples bananas plums pears oranges lemons
Fruit sold in the Village Shop in one day
apples bananas plums pears oranges lemons
Number
of fruit
sold
Number
of fruit
sold
0
10
20
30
40
50
60
0
12
24
36
48
60
254
Handling Data 11 page 182
Class 4’s Traffic Survey
9:0 car lorry bus bike van
Vehicle
1. car 2. 17 3. There might be less vehicles on the road
Handling Data 12 page 183
3 6
12
15 42
24
30 33 36
21
multiples of 3 multiples of 4
2
5
10
17
25
35
Number of
Children
Number of
vehicles
40
0
10
20
30
4
8 16
20 28
32 40
255
Handling Data 13 page 184
15 5
25
35
multiples of 2 multiples of 5
3
17
21
33
5 15 10
25 35
45
20
30
40
50
60
multiples of 5 multiples of 10
2 3 4 6 8
9 12 16 17
18 21 22
24 26
28
34
2 4 6 8
12 16
10
24 36
42 32 20
28 30
40
256
multiples of 4 multiples of 6
Handling Data 14 page 185
circle triangle
Less than 40
14 24 36 8 17 19
16 18 23
32 7 25 22
27 35
40 or more
44 57 93
44 63 64 82
odd even
Between 30 and 60
35 57
32 36 52 44
Not between 30 and 60
93 7 25 63
17 19 27 23
14 8 82 16
22 64 18
4 8
16 20 28
40
6 18
12
24 30
36
60 12
2 3 10 15 17 21 22
5 9 25
26 34 35 38 45 50
257
Handling Data 15 page 186
blue yellow
even
50 24 8 84 54
78 40 20
30 36 12 14 22
odd
37 25 13
23 9 19 11 35
1. 8 2. 8 3. 5 4. 5 5. 13
Handling Data 16 page 187
Travel by car Do not travel by car
Use a red vehicle
Paul Mary
Sam Jake Hal Luke
Do not use a red vehicle
Tina Sally Toni Kay
Pip Tom
Jim Jade Cal
1. 6 2. 9 3. 8 4. 15
Handling Data 17 page 188
1. 8 2. 6 3. 3 4. 2 own choice of headings
Sam Jake
Hal Luke
Tina Tom
Sally Toni
Kay Pip
Mary
Paul
Travel by car Use a red vehicle
Jim Jade
Cal
258
Number Problems 1 page 189
1. 18 2. 33 3. 34 4. 1 5. 2 6. 2 + 3 7. 1+2+3 8. 3+4
9. 4+5 10. 1+2+3+4 11. 5+6 12. 3+4+5
Number Problems 2 page 190
1. 6+7 2. 2+3+4+5 3. 7+8 4. 8+9 5. 3+4+5+6 6. 9+10
7. 2+3+4+5+6
8. 1+2=3, 2+3=5, 3+4= 7, 4+5=9, 5+6=11, 6+7=13, 7+8=15, 8+9=17
Number Problems 3 page 191
1. 43 2. 44p 3. 73 4. £3·75 5. 135 6. 5 weeks 7. £4·13 8. 114
Number Problems 4 page 192
1. 124 2. 139 3. 128 4. 119 5. 339
Number Problems 5 page 193
1. 0 2. 6 3. 2 4. 2 5. 0 6. 4 7. 10 8. 4 9. 2 10. 8
11. 6 12. 4 13. 2
Number Problem 6 page 194
1. 1 2. 15 3. 1 4. 2 5. 4 6. 6 7. 6 8. 2 9. 8
10. 25 11. 9 12. 7 13. 13
Number Problems 7 page 195
Combinations include:
1. 8+1+7 2. 8+2+6 3. 4+5+7 4. 1+6+9 5. 3+4+9 6. 3+5+8
7. 1+2+7 9. 1+3+6 10. 4+5+3 11. 6+1+5 12. 9+1+2
Number Problems 8 page 196
20 20 10
10 20
30 10 10
50 20 30
10 60
70 20 10
1. 2.
259
5.
Number Problems 9 page 197
1. Answers include:
a. 1+8+6 b. 8+2+5 c. 4+5+6 d. 1+5+9 e. 2+4+9 f. 3+5+7 2.
Number Problems 10 page 198
1. 32 2. 45 3. 21 4. 7 5. 10 6. 2
Number Problems 11 page 199
1. 14+5=19 2. 21-5 =16 3. 24+15 4. 12×4=48 5. 15×2=30
6. 12÷4=3 7. 54+21=75 8. 54-21=33 9. 69-24=45 10. 64÷2=32
11. 64+29=93 12. 26×4=104 13. 49×2=98 14. 429+6=435
30 20 100
10 70
40 50 60
80 10 40
80 60
40 60 30
1 6 8
3 5 7
4 9 2
375 95
215
235 205 325
225 245
175
165 75 305
3. 4.
260
1
5
3
5
1
3
Number Problems 12 page 200
1. £25·16 2. £6·75 3. £8·75 4. £7·90 5. £168
Number Problems 13 page 201
1. 22 2. 101 3. 29 4. £4·50 5. 79 6. 12 7. 6 8. 36
How are you doing? 4 page 202
1. 0 0·7 1 1·3 2. A 18cm² B 24cm² 3. A 20cm B 26cm 4.
4.
multiples of 3 not multiples of 3
odd numbers
even numbers
5. a. 12 b. 25
9 15 7 25
12 30 18 36 16 22 28