Exercises in KS3 Mathematics Year 7 Basics · PDF fileYear 7 Basics R Joinson Sumbooks. Sum...

Exercises in KS3MathematicsYear 7 Basics

R Joinson

Sumbooks

Sum

books

5 Northway Chester CH4 8BB

Exercises in KS3 Mathematics - Year 7 Basics

First Published 2003

Copyright R Joinson and

Sum

books

This package of worksheets is sold subject to the condition that it is photocopied for educational purposes only onthe premises of the purchaser

ISBN 09543580-4-X

Preface

These sheets were written in response to suggestions from teachers. They are aimedat the pupils who come into year 7 and find the present work difficult. The work coverslevels 2, 3 and part of 4 of the national curriculum and, compared to our other KS3sheets, have been written with a more open layout, simpler language and easierquestions.

R Joinson October 2003Chester

Contents

Adding 1 - 7Subtraction 1 - 8Dot Patterns - 9

Roman Numerals - 10Ordering - 11

Putting in Signs - 12Adding 2 - 13Adding 3 - 14

Subtracting 2 - 15Subtracting 3 - 16

Adding Decimals - 17Negative Numbers - 18

Number List - 19Subtracting Decimals - 20

Multiplying 1 - 21Multiplying 2 - 22

Dividing - 23Missing Numbers - 24

Missing Signs - 25Number Sequences - 26

Number Lines - 27Putting numbers into Order 1 - 28Putting numbers into Order 2 - 29

Making Numbers - 30Comparing - 31

Working in Stages - 32Counting on - 33

Halves and Quarters - 34Fractions - 35

Equivalent Fractions - 36Writing Fractions - 37Lists of Numbers - 38Approximations - 39Number Chains - 40

Money Problems 1 - 41Money Problems 2 - 42

Rules - 43Making Patterns - 44

Number Machines - 45Theatre Seats - 46

Position - 472D Shapes - 483D Shapes - 49Little Cubes - 50

Shapes Questions 1 - 51Shapes Questions 2 - 52

Angles 1 - 53

Angles 2 - 54Turning - 55

Similar Shapes 1 - 56Similar Shapes 2 - 57

Reflection Symmetry - 58Reflection - 59

More Reflection - 60Area and Perimeter - 61

Equal Areas - 62Making Rectangles - 63

Measurement - 64Reading Scales 1 - 65Reading Scales 2 - 66

Time 1 - 67Time 2 - 68

Digital Times a.m. - 69Digital Times p.m. - 70

Sorting 1 - 71Sorting 2 - 72Sorting 3 - 73

Finding Information 1 - 74Finding Information 2 - 75Information Tables 1 - 76Information Tables 2 - 77Information Tables 3 - 78

Calendar 1 - 79Calendar 2 - 80

Using Information 1 - 81Using Information 2 - 82

Pictograms - 83Bar Charts 1 - 84Bar Charts 2 - 85

Charts and Pictograms 1 - 86Charts and Pictograms 2 - 87

Frequency Tables 1 - 88Frequency Tables 2 - 89

Putting Data into Tables 1 - 90Putting Data into Tables 2- 91

Years - 92

©

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2003

Key Stage 3

7

Adding 1

7bExercise 11) What number does the stand for?

2) What number does the stand for?


Exercise 2Look at each of these.What number does the stand for?

+ =

3 + = 7

+ =

+ = 75

+ =

+ =35

1) 3 + 6 =

3) 5 + = 8

5) + 3 = 6

2) 1 + 7 =

4) 8 + = 9

6) + 3 = 9

7) 4 + = 9 8) + 4 = 8

©

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2003

Key Stage 3

8

Subtraction 1

7bExercise 11) What number does the stand for?



Exercise 2Look at each of these.What number does the stand for?

– =

8 – = 4

– =

– = 45

– =

– =38

1) 7 – 6 =

3) 8 – = 5

5) – 1 = 6

2) 5 – 2 =

4) 8 – = 3

6) – 3 = 4

7) 9 – = 3 8) – 4 = 5

©

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2003

Key Stage 3

9

Dot Patterns

7b

1) These dots are the numbers on a dice.

They show the numbers 1 to 6.

Draw dot patterns for the numbers 7, 8, 9 and 10.

2) The numbers on opposite sides of a dice always add up to 7.

Adding the dots gives another pattern for 7

Use these dots to draw two more patterns for 7.

+ =

+

=+

=

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Key Stage 3

10

Roman Numerals

7bHere are the first 12 Roman numerals.

1) What numbers do you think these mean?

XIII XIV XV

2) Now try these

XX XXV XXX

Answer these sums in Roman numerals.

3)

III + III

4)

II + V

5)

V + III

6)

V + V + I

7)

III + III + II

8)

IV + III + II

9)

V + III + IV

10)

X + II + III

11)

X – II

12)

XII – V

13)

XX – V

14)

XXX – XV

15)

XVI – IX

I II III IV V VI VII

VIII IX X XI XII

1 2 3 4 5 6 7

8 9 10 11 12

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2003

Key Stage 3

11

Ordering

7bExercise 1

Exercise 2

In each of these lists a number is missing.

For each list write down the missing number.

1) 12, 13, 14, 15, 16, 17, ...., 19, 20, 21, 22, 23, 24, 25, 26

2) 37, 38, 39, ...., 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51

3) 58, 59, 60, 61, 62, ...., 64, 65, 66, 67, 68, 69, 70, 71, 72

4) 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, ...., 73, 74, 75, 76

5) 84, 85, 86, 87, 88, ...., 90, 91, 92, 93, 94, 95, 96, 97, 98

6) 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, ...., 55

14

2738

6

77

26

8964

55

73

6 14 26 . . . . . . . . .

93

39

Here are 12 numbers.

They have been jumbled up.

Write them down in order.

Finish it off. The list has been started.

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2003

Key Stage 3

12

Putting in Signs

7bExercise 1Look at these.

4 + 5 = 9 7 – 3 = 4 6 + 3 = 9 8 – 4 = 4

Those below have got their + and – signs missing.Write them out again with the + or – sign in. 1) 4 ... 3 = 7 2) 5 ... 2 = 3 3) 9 ... 7 = 2 4) 7 ... 2 = 9 5) 6 ... 5 = 1 6) 5 ... 5 = 0 7) 2 ... 6 = 8 8) 4 ... 4 = 8 9) 6 ... 1 = 510) 14 ... 5 = 9 11) 13 ... 3 = 16 12) 25 ... 14 = 1113) 17 ... 7 = 10 14) 27 ... 10 = 37 15) 34 ... 26 = 60

Exercise 21) Jaspal has £7 in his pocket. He puts this with £11 in his money box. He works out how much money he has altogether. a) Does he + or – the two numbers? b) Write down a sum to show what he has to do. c) How much does he now have in his money box?

2) Rebecca has a piece of tape 32 centimetres long. She cuts 10 centimetres from it. She now has two pieces of tape. One piece is 10 centimetres long. She wants to work out the length of the second piece. a) Does she + or – the 32 and the 10? b) Write down a sum to show what she has to do. c) What is the length of the second piece of tape?

3) Ben has 22 cards. He gives 7 of them to his friend Sam. He works out how many cards he has left. a) Does he + or – the two numbers? b) Write down a sum to show what he has to do. c) How many cards has he left?

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Key Stage 3

13

Adding 2

7bDo not use a calculator

1) Add these together.

i) 19 + 7 j) 15 + 6 k) 13 + 16 l) 12 + 13


i) 14 + 24 j) 33 + 45 k) 27 + 38 l) 43 + 51


i) 7 + 12 + 42 j) 31 + 6 + 16 k) 35 + 8 + 23

416

+ + ++

+ + + +

526

6

59 6

16

13

8 14

45

3311

9

14

a) b) c) d)

e) f) g) h)

+ 26

27+ +

+

+

+

+

+23

38 34 47

45 23

54

3531

26

36

35 46

63a) b) c) d)

e) f) g) h)

+

+

+

+

+

+

+

+

169

35

71523

569

19

4 524

9 27

53

43

634

26 22

38

29

5

35 8

35

15 26

a) b) c) d)

e) f) g) h)

©Sumbooks 2003 Key Stage 3

14

Adding 3



i) 126 + 17 j) 215 + 26 k) 275 + 37 l) 375 + 56


i) 286 + 174 j) 312+ 457 k) 394 + 822 l) 360 + 856


i) 25 + 674 + 346 j) 548 + 86 + 451 k) 348 + 97 + 23

14233

+ + ++

+ + + +

72483

27

291 73

362

215

56 117

324

423142

65

814

a) b) c) d)

e) f) g) h)

+ 374

274+ +

+

+

+

+

+176

794 674 839

318 476

358

548465

568

547

428 563

456a) b) c) d)

e) f) g) h)

+

+

+

+

+

+

+

+

54858

137

65572354

55427

104

58 75967

12 384

740

671

57673

856 758

595

648

54

665 53

347

432 453

a) b) c) d)

e) f) g) h)


15

Subtracting 2


1) Subtract these numbers.

i) 18 – 13 j) 25 – 21 k) 35 – 34 l) 46 – 22 m) 44 – 14 n) 42 – 39 o) 34 – 16 p) 54 – 12


i) 21 – 6 j) 34 – 5 k) 53 – 7 l) 47 – 9 m) 71 – 5 n) 34 – 12 o) 32 – 15 p) 73 – 15

3) There are 26 pupils in group 7A. 15 of them are girls. How many are boys?

4) A box contains 44 apples. 16 are removed. How many are left?

5) Megan travels from her home to London. It is 45 miles altogether. A bus carries her 17 miles towards London. How much further has she to travel?

–173

–

–

–

–

–

–

–

194

13 2

16 4

148

29 7

26 9

3317

a) b) c) d)

e) f) g) h)

– – – – 30

7 5413

4312

63 12

– – – – 43 15

67 34

63 19

81 22

a) b) c) d)

e) f) g) h)


16

Subtracting 3



i) 83 – 52 j) 47 – 29 k) 53 – 45 l) 67 – 52 m) 84 – 37 n) 91 – 26 o) 43 – 19 p) 52 – 34


i) 201 – 5 j) 412 – 7 k) 380 – 9 l) 514 – 6 m) 312 – 9 n) 486 – 24 o) 526– 37 p) 326 – 17

3) Subtract these numbers

–4812

–

–

–

–

–

–

–

6319

56 22

54 32

8317

93 37

45 29

6338

a) b) c) d)

e) f) g) h)

– – – – 200

9 600

20 500

15 605 22

– – – – 608 25

450 44

750 37

430 33

a) b) c) d)

e) f) g) h)

– – – – 321

37 486

23 395

17 580 37

– – – – 666 57

594 44

519 82

184 43

a) b) c) d)

e) f) g) h)

– – – – 718

77 426 56

386 65

554 89

i) j) k) l)


17

Adding Decimals


Add these together.

m) 4.5 + 3.4 n) 4.6 + 3.1

o) 5.4+ 3.9 + 3.0 p) 1.4 + 2.7 + 8.9

q) 4.5 + 4.9 + 9.5 r) 5.3 + 2.8 + 5.7

s) 4.7 + 7.6 + 3.8 t) 4.8 + 6.9 + 7.4

u) 3.7 + 5.4 + 8.6 v) 4.6 + 5.3 + 2.9

+

+ +

+ 3.1

+

+1.2 5.6 9.7

2.14.4

1.13.2

3.41.3

6.43.1

a) b) c)

d) e) f)

+ + +4.31.8

5.33.24.7

3.63.14.75.2

g) h) i)

+ + +4.30.8

5.34.88.4

7.62.55.85.3

j) k) l)


18

Negative Numbers

7b

1)

2)

This is a number line.

The numbers get bigger to the right, and smaller to the left.

Answer these questions.

a) What bigger number comes next to 5?

b) What smaller number comes next to –6?

c) Which number is smaller than 0 by 3?

d) Which number is bigger than –6 by 4?

e) Which number is half way between 1 and 5?

f) Which number is half way between 0 and –2?

g) Which number is half way between –2 and –6?

h) Which number is half way between 2 and –4?

B˚C

–10˚C

–D˚C

0˚C

5˚C

15˚C

20˚C

A˚C

30˚C This is a school thermometer.

Three numbers have been left off.

a) What number does A mean?

b) What number does B mean?

c) What number does D mean?

d) What temperature does the thermometer show?

–6 –5 –4 –3 –2 –1 0 1 2 3 4 5

BiggerSmaller


19

Number List

7bAll the answers are in this list.

1) Write down a multiple of 6

2) Write down an even number greater than 100.

3) Write down an odd number between 60 and 100.

4) Write down two numbers which add up to 150.

5) Write two numbers which give 160 when multiplied together.

6) Which two numbers have a difference of 20?

7) Which number is nearest in value to 150?

8) Which two numbers are missing ?

9) Put the numbers into order of size. Start with the smallest.

10) Write down a number that is a multiple of both 8 and 3.

11) Write down an odd number divisible by 5.

12) Which two numbers add up to 180?

13) What is added to 80 to give 148?

14) Which two numbers are missing ?

15) Which two numbers will divide into 200?

16) What is half of 160?

17) What is 23 one third of?

18) Write down all the even numbers less than 50.

19) How many numbers are bigger than 35?

80, 32, 48, 148, 67, 70, 20, 35, 68, 8, 47, 69

÷ = 10

– = 80


20

Subtracting Decimals


.

v) 7.4 – 3.2 w) 3.2 – 1.6 x) 5.7 – 4.3

4.6–

––

– –

–

–

–

–

7.43.1 2.3

5.73.6

5.84.3

5.32.2

5.95.7

6.84.6

5.32.6

5.42.6

a) b) c)

d)e) f)

g) h) i)

7.3–

––

– –

–

–

–

–

4.83.8 2.6

5.12.7

7.65.6

8.65.1

7.53.8

9.65.8

8.86.9

7.35.6

j) k) l)

m) n) o)

p) q) r)

–– –8.56.7

8.43.4

6.32.6

s) t) u)


21

Multiplying 1


Multiply these.

p) 9 × 3 q) 8 × 9 r) 6 × 8

s) 13 × 3 t) 18 × 4 u) 11 × 5

v) 32 × 3 w) 17 × 5 x) 23 × 5

y) 13 × 7 z) 16 × 6 a1) 17 × 7

b1) 23 × 4 c1) 37 × 2 d1) 43 × 2

×

× ×

× ×

× 222

154

173

14 6

216

224

j) k) l)

m) n) o)

×

×

×

×

×

× ×

×

× 42

33

54

5 7

92

76

102

128

135

a) b) c)

d) e) f)

g) h) i)


22

Multiplying 2


Multiply these.

p) 19 × 3 q) 25 × 9 r) 24 × 8

s) 26 × 7 t) 31 × 7 u) 26 × 9

v) 37× 8 w) 43 × 8 x) 83 × 4

y) 56 × 9 z) 67 × 8 a1) 71 × 7

b1) 72 × 9 c1) 61 × 8 d1) 57 × 6

×

× ×

× ×

× 565

638

419

53 6

219

448

j) k) l)

m) n) o)

×

×

×

×

×

× ×

×

× 23

6315

433

45 5

674

713

276

358

437

a) b) c)

d) e) f)

g) h) i)


23

Dividing

7b

Do not use a calculator

1) Divide these.

a) 20 ÷ 2 b) 32 ÷ 2 c) 44 ÷ 2

d) 33 ÷ 3 e) 42 ÷ 3 f) 45 ÷ 3

g) 48 ÷ 4 h) 88 ÷ 4 i) 72 ÷ 4

j) 92 ÷ 2 k) 74 ÷ 2 l) 84 ÷ 3

m) 72 ÷ 3 n) 95 ÷ 5 o) 65 ÷ 5

p) 72 ÷ 6 q) 91 ÷ 7 r) 120 ÷ 6

s) 119 ÷ 7 t) 144 ÷ 8 u) 144 ÷ 9

v) 184 ÷ 8 w) 154 ÷ 7 x) 174 ÷ 6

2) All these have remainders.

a) 37 ÷ 3 b) 29 ÷ 2 c) 73 ÷ 5

d) 87 ÷ 4 e) 41 ÷ 3 f) 95 ÷ 2

g) 76 ÷ 5 h) 67 ÷ 2 i) 93 ÷ 4

j) 56 ÷ 3 k) 67 ÷ 5 l) 81 ÷ 4

m) 93 ÷ 6 n) 78 ÷ 8 o) 64 ÷ 7

p) 83 ÷ 5 q) 82 ÷ 9 r) 49 ÷ 6

s) 48 ÷ 7 t) 88 ÷ 9 u) 72 ÷ 7

v) 80 ÷ 7 w) 71 ÷ 8 x) 47 ÷ 9


24

Missing Numbers


Fill in all the missing numbers

1) If 29 – 5 = 24 then

a) 5 + ... = 29 b) 29 – ... = 5 c) 24 + ... = 29

2) If 7 × 9 = 63 then

a) 9 × ... = 63 b) 63 ÷ ... = 7 c) 63 ÷ ... = 9

3) If 17 + 33 = 50 then

a) 50 – ... = 33 b) 50 – ... = 17 c) 33 + ... = 50

4) If 8 × 10 = 80 then

a) 10 × ... = 80 b) 80 ÷ ... = 10 c) ... ÷ 10 = 8

5) If 80 ÷ 4 = 20 then

a) 80 ÷ ... = 4 b) ... × 4 = 80 c) ... × 20 = 80

6) All the answers are 4.

= 4

1 + ....

8 ÷ ....

.... × 2

Four times ....

Twice ....

8 – ....

Half of ....

A quarter of ....


25

Missing Signs


Fill in the missing signs, × , ÷ , + or –

a) 3 .... 2 = 5 b) 4 .... 3 = 7 c) 4 .... 3 = 1

d) 9 .... 5 = 4 e) 2 .... 6 = 12 f) 10 .... 2 = 5

g) 20 .... 10 = 2 h) 10 .... 2 = 12 i) 23 .... 2 = 21

j) 13 .... 8 = 21 k) 14 .... 5 = 9 l) 21 .... 3 = 7

m) 5 .... 5 = 25 n) 4 .... 9 = 36 o) 45 .... 9 = 5

p) 6 .... 6 = 36 q) 80 .... 10 = 8 r) 20 .... 4 = 80

s) 8 .... 8 = 64 t) 17 .... 23 = 40 u) 90 .... 9 = 10

v) 14 .... 2 = 28 w) 30 .... 2 = 15 x) 7 .... 7 = 49

y) All the answers are 10

= 10

80 ... 70

5 ... 2

27... 17

160 ... 16

20 ... 2

1 ... 10

5 ... 5

6 ... 4


26

Number sequences

7bExercise 1

Finish these off. The numbers increase in value.

1) 15, 16, 17, 18, 19, 20, ..., ....

2) 1, 3, 5, 7, 9, 11, ..., ....

3) 2, 4, 6, 8, 10, 12, ..., ....

4) 3, 6, 9, 12, 15, 18, ..., ....

5) 10, 20, 30, 40, 50, 60, ..., ....

6) 5, 15, 25, 35, 45, 55, 65, ..., ....

7) 5, 10, 15, 20, 25, 30, ..., ....

Exercise 2

Finish these off. The numbers decrease in value.

1) 30, 29, 28, 27, 26, 25, ..., ....

2) 41, 40, 39, 38, 37, 36, ..., ....

3) 31, 29, 27, 25, 23, 21, ..., ....

4) 24, 22, 20, 18, 16, 14, ..., ....

5) 99, 88, 77, 66, 55, 44, ..., ....

6) 80, 70, 60, 50, 40, 30, ..., ....

7) 30, 27, 24, 21, 18, 15, ..., ....

Exercise 3

Fill in the missing numbers.

1) 31, 33, 35, 37, ..., ..., 43, 45.

2) 16, 18, 20, ..., ..., 26, 28, 30.

3) 35, 33, 31, 29, ..., ..., 23, 21.

4) 21, 24, 27, ..., ..., 36, 39, 42.

5) 65, 60, ..., ..., 45, 40, 35, 30.

6) 40, 36, 32, ..., ..., 20, 16, 12.

7) 24, 27, 30, 33, ..., ..., 42, 45.


27

Number Lines

7bFill in the missing numbers.

0 0.2 0.4 0.7...... ............0.1

2.4 ...... 3.42.0 ......

3.4 3.8 ............ ......

a)

b)

c)

e)

f)

g)

...... ...... 0.6 0.90.7 ......0.50.3

0.8 1.0 ...... ......1.3 1.41.1......

...... 1.6 1.8 2.11.9 ............1.5

1.9 ...... 2.3 2.62.4 ......2.2......

......

d)


28

Putting Numbers into Order 1

7bPut these into order.

Start with the smallest.

a) 5, 8, 3, 12, 9, 17

b) 28, 19, 3, 24, 7, 21

c) 17, 32, 15, 22, 28, 14

d) 44, 23, 37, 63, 18, 31

e) 45, 52, 41, 28, 42, 83

f) 32, 72, 27, 47, 28, 64

g) 93, 55, 34, 62, 84, 52

h) 52, 77, 49, 86, 39, 72

i) 84, 24, 100, 36, 107, 93

j) 65, 45, 23, 64, 156, 127

k) 38, 239, 174, 49, 59, 137

l) 294, 45, 274, 172, 16, 6

m) 329, 164, 248, 371, 451, 222

n) 423, 935, 36, 475, 631, 729

o) 483, 386, 757, 482, 626, 273

p) 452, 99, 152, 731, 683, 472

q) 740, 352, 845, 562, 67, 82

r) 563, 876, 935, 824, 83, 37

s) 674, 874, 284, 735, 929, 193


29

Putting Numbers into Order 2

7bPut these into order.

Start with the smallest.

a) 7, 5, 8, 23, 4, 13

b) 57, 86, 9, 45, 5, 26

c) 43, 87, 153, 98, 357, 84

d) 647, 359, 693, 610, 59, 129

e) 0.5, 0.1, 0.6, 0.3, 0.2, 0.8

f) 0.9, 0.3, 0.7, 0.4, 0.6, 0.2

g) 0.8, 0.6, 1.3, 1.7, 1.2, 1.0

h) 1.9, 1.7, 0.4, 1.3, 2.0, 1.5

i) 2.8, 1.9, 2.1, 0.4, 3.7, 2.6

j) 3.5, 1.4, 2.8, 3.2, 0.4, 1.6

k) 0.7, 2.4, 6.8, 5.9, 4.7, 2.6

l) 4.4, 3.6, 2.9, 3.1, 6.0, 5.9

m) 6.7, 9.4, 5.8, 4.8, 7.5, 1.9

n) 3.7, 4.8, 2.8, 6.8, 3.9, 4.9

o) 9.3, 7.8, 6.4, 5.8, 7.9, 5.1

p) 8.4, 7.4, 3.9, 4.8, 8.5, 2.6

q) 9.4, 8.7, 8.5, 9.1, 3.5, 7.6

r) 8.5, 7.3, 6.8, 3.8, 9.4, 8.4

s) 8.4, 4.9, 9.5, 2.8, 7.9, 6.4


30

Making Numbers

7b1) Here are 4 cards.

They can make other numbers.

Like this.

Use these 4 numbers to do these

a) Write down 10 numbers beginning with a 1.

b) Write down 10 numbers beginning with a 3.

c) Write down 10 numbers beginning with a 4.

d) Write down 10 numbers beginning with an 8.

2) Which numbers are missing?

3 8 4 1

3 8 148 1 8 4 3

381

4

1

..

..3

113 1.. 4

3 8 4 .. 34 ..4


31

Comparing

7b< means ‘is less than’

2 < 4 Two is less than four

–5 < 0 Minus 5 is less than zero

> means ‘is bigger than’

5 > 3 Five is bigger than three

3 + 4 > – 3 Three add four is bigger than minus three

= means ‘is equal to’

3 + 7 = 10 Three plus seven is equal to 10

6 – 4 = 1 + 1 Six subtract four is equal to one add one

Put <, > or = between each of these.

a) 4 ........ 8 b) 3 ........ 1

c) 7 ........ 4 d) 7 ........ 8

e) 2 ........ 9 f) 3 + 4 .......5

g) 9 + 5 ........ 95 h) 8 ........ 7 + 4

i) 8 – 3 ........ 6 j) 9 – 2 ........ 4

k) 0 ........8 – 8 l) 6 ........ 3 + 4

m) –5 ........ 5 n) –6 ........ 0

o) –6 ........ 4 p) 7 ........ –3

q) 5 + 6 ........ 13 – 2 r) 7 + 4 ........ 3 – 1

s) 7 + 2 ........ 3 + 6 t) 6 ........ –3

u) 8 + 3 ........ 4 – 1 v) 9 – 4 ........ 8 + 2

w) 1 + 5 ........ –3 x) 8 + 8 ........ 9 + 7

y) 5 + 6 ........ 13 – 2 z) 7 + 4 ........ 3 – 1


32

Working in Stages


1) Ryan adds together 26 and 15 like this

Call 15 10 + 5

First add the 10 26 + 10 = 36

Then add the 5 36 + 5 = 41

Now do these additions in the same way.

Write down what you do, just like the example.

a) 23 + 14 b) 32 + 16 c) 29 + 17

d) 36 + 18 e) 41 + 23 f) 46 + 23

g) 45 + 22 h) 35 + 36 i) 38 + 43

j) 28 + 25 k) 42 + 18 l) 52 + 26

m) 33 + 32 n) 51 + 27 o) 37 + 24

2) Halla does 35 – 18 like this.

Start at 18 18 to 20 is 2

20 to 30 is 10

30 to 35 is 5

So 18 to 35 is 2 + 10 + 5 = 17

Now do these in the same way.

a) 31 – 18 b) 42 – 19 c) 43 – 22

d) 52 – 16 e) 37 – 21 f) 53 – 26

g) 63 – 24 h) 37 – 26 i) 44 – 28


33

Counting on.

7b

Do not use a calculator

Josh works in a shop.

He sells a disc for £12.55.

The customer pays with a £20 note.

He gives the customer change like this.

£12.55 to £12.60 is 5p

£12.60 to £13.00 is 40p

£13.00 to £20 is £7.00

So Josh gives the customer £7.00 + 40p + 5p = £7.45

Do these in the same way.

Work out the change given.

a) A t-shirt costing £16.50 is bought with a £20 note.

b) A sports cap costing £4.53 is bought with a £10 note.

c) A book costing £5.43 is bought with a £10 note.

d) A radio costing £16.45 is bought with a £50 note.

e) A poster costing £7.34 is bought with a £10 note.

f) A pair of shoes costing £25.73 is bought with two £20 notes.

Do these In the same way.

g) £10 – £3.40 h) £20 – £7.53 i) £30 – £24.62

j) £20 – £18.64 k) £40 – £29.68 l) £50 – £32.47

m) £30 – £17.24 n) £20 – £9.96 o) £10 – £8.66

p) £60 – £34.27 q) £45 – £19.84 r) £35 – £23.76


34

Halves and Quarters

7b1) What fraction of these is shaded in?

2)

Fill in the missing letter.

Diagram .... has about a quarter shaded in.

Diagram .... has about half shaded in.

Diagram .... has about three quarters shaded in.

3) This is a metre rule.

Point X is half way along it.

How many parts are there altogether?

How many parts are in half the ruler?

How many parts are in a quarter of the ruler?

How many parts are in three quarters of the ruler?

a) b) c)

d) e) f)

Diagram A Diagram B Diagram C

X


35

Fractions

7b

1) What fraction of these has been shaded in?

2) What fraction of these has been shaded in?

a) b) c)

d) e) f) g)

h)i) j)

a) b) c)

d) e) f)

g) h) i)


36

Equivalent Fractions

7b1) Which of these show ?

2) Which of these show ?

12---

24

26

13

36

25

410

a) b) c)

d) e) f)

13---

515

412

48

25

38

410

a) b) c)

d) e) f)


37

Writing Fractions

7b1) What fraction of the designs are black?

2) Approximately what fraction is shaded?

a) b) c)

d) e) f)

g) h) i)

j) k) l)

a) b) c)

d) e) f)


38

Lists of Numbers

7b1) Here is a list of numbers.

12 14 67 53 99 25 47 82 10

37 56 86 94 36 76 23 48 64

Put them in order, smallest first.

The list has been started for you.

10 12 14 23

2) Here is a list of numbers.

196 287 954 743 532 105 735 856 375

851 745 376 476 832 264 463 765 934

Put them in order, smallest first.


105 196 264 287

3) Here is a list of numbers.

746 543 976 35 725 504 754 632 342

65 864 987 345 275 845 637 945 773

Some digits are underlined.

What are the values of the underlined digits.

The list has been started.

746 Six units

543 Four tens

976 Nine hundreds

35 Five units

725 Two tens


39

Approximations

7b1) These numbers are rounded to the nearest 10.

The list has been started.

Finish it off.

63 rounded to the nearest 10 is 60



465 rounded to the nearest 10 is 470 (round up - be careful)

72 rounded to the nearest 10 is


753

843

745 (be careful)

532

27

2) These numbers are to be rounded off to the nearest 100.


Finish it off.




750 rounded to the nearest 100 is 800 (round up - be careful)



487

638

845

974

253

450 (be careful)


40

Number Chains

7b1) Write down the next two numbers.

2) In each questions above, say what you do each time.

The first two have been done for you.

a) Add 2 each time

b) Add 5 each time

20 25 30 3515

10 12 14 168

10 13 16 197

4 7 10 131

14 18 22 2610

9 14 19 244

26 22 18 1430

21 18 15 1224

0 1 2 3–1

2 1 0 –13

5 3 1 –17

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)


41

Money Problems 1

7b1) Billy goes to the shop. He buys a packet of crisps for 25p, and a bar of chocolate for 42p. a) How much does he spend altogether? b) How much change does he get from a £1 coin?

2) Holly wrote a cheque for six pounds and forty two pence. How did she write this amount in figures?

3) Liam spends £6.40. He buys two Christmas presents for his mum and dad. He spends the same amount on both of them. How much does he spend on each?

4) Emma buys two tickets for the cinema. They cost £5.20 each. How much does she spend altogether?

5) Jake buys 4 cinema tickets. They cost £5 each. What is their total cost?

6) Kamala has a £1 coin. She buys chocolate bars costing 30 pence each. a) How many can she buy? b) How much change will she have?

7) Arlan has a £10 note. He buys a train ticket for £5.32. How much change will he be given?

8) A box of corn flakes costs 74 pence. What is the cost of two boxes?


42

Money Problems 2

7b1) Luke saves 20p coins. He has 85 of them. How much is this?

2) Put these amounts of money into order of size. Begin with the smallest. £3.45, 78p, £6.00, £8, 32p, £10.43, £16

3) Ellie buys a cinema ticket. She pays with a £10 note. She gets £6.70 change. How much did the ticket cost?

4) Jessica buys a bus ticket. It costs her 65p to get into town. It costs another 65p to get home again. Instead she could buy a return ticket for £1.15. How much will she save if she buys a return ticket?

5) Chen and Jamie buy a pack of chocolate bars. There are 5 bars in the pack. The pack costs £1.25. a) What is the cost of each bar? b) Chen has 2 bars. How much should he pay? c) Jamie has the other three bars. How much should he pay?

6) Entrance to the museum is £2.50. Beth goes with her school friends. They are charged £27.50. How many are in the group?


43

Rules

7bFill in the missing numbers.

1)

1

23 54

2

34 65

3

45 6

4

2)

1

2

4 53

3

4

6 75

5

11

3)

5

3

97

11113

7

5

9

3 5

4)

6

4

14

82

1210

9

6

3

12

4


44

Making Patterns

7b1) These patterns are made with tiles.

a) What is added to pattern 1 to make pattern 2?

b) What is added to pattern 2 to make pattern 3?

c) What is added to pattern 3 to make pattern 4?

d) How many tiles are needed for pattern 5?

e) Draw a picture of pattern 5.

2) These patterns are made with matchsticks.

a) What is added to pattern 1 to make pattern 2?

b) What is added to pattern 2 to make pattern 3?

c) What is added to pattern 3 to make pattern 4?

d) How many matchsticks are needed for pattern 5?

e) Draw pattern 5.

Pattern 1

Pattern 2

Pattern 3

Pattern 4

Pattern 1 Pattern 2 Pattern 3


45

Number Machines

7b1) When 2 goes into this number machine, 6 comes out.

a) What comes out when 3 goes in?

b) What comes out when 7 goes in?

c) What comes out when 11 goes in?

2) What does the ? mean in each of these?

+42 6

+52 ?

+7? 13

+?9 11

x4 ?3

x5 25?

÷20 4 ?


46

Theatre Seats

7b

This is the plan of the seats in a theatre.

The position marked is seat 9 row K.

This seat is called 9K.

a) How many rows are in the theatre?

b) How many seats are in the theatre?

c) Which seat is right behind 9K?

d) Lauren sits in seat 14E. Her mum and dad sit either side of her.

Which seats do they sit in?

e) Megan sits in seat 5E. Her three friends sit in the seats on her left.

Which seats are these?

f) There are 5 rows of seats in front of Matthew. To his left there are

six more seats in his row. Where is he sitting?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20ABCDEFGHIJKLMNOP

Front of the Theatre


47

Position

7b1)

This is a letter F.

One corner is marked A.

Its position is 5 across and 3 up . (trace it with your finger)

This is called (5,3)

a) What are the other corners of the letter called?

b) Add 3 lines to make it into an E.

c) What are the 3 new corners called?

0 5 10 15 20

5

10

15

20

A


48

2D Shapes

7bHere are the names of some shapes.

1) Trapezium

2) Rectangle

3) Pentagon

4) Triangle

5) Hexagon

6) Square

7) Octagon

8) Parallelogram

Here are the pictures of these shapes.

Match the shape with the name.

Here is the first one.

a) is a square

a) b) c)

d)e)

f)g) h)


49

3D Shapes

7b

Here are the names of some shapes.

1) Cube

2) Cuboid

3) Triangular prism

4) Cylinder

5) Cone

6) Sphere

7) Pyramid

Here are the pictures of these shapes

Match the shape with the name.

Here is the first one.

a) is a triangular prism.

a) b) c)

f)

d)

g)

e)


50

Little Cubes

7b

d) Hannah has 63 small cubes. How many sticks can she make?

e) Liam has 125 small cubes. How many sticks can he make?

f) Rebecca has 220 small cubes. How many layers can she make.

g) Amy has 16 layers. How many big cubes can she make?

h) Hari has 20 layers. How many big cubes can he make?

i) Ellie has 35 sticks. How many layers can she make?

k)l)

k)l)

k)l)

k)l)

k)l)

k)l)

This stick is made from 10 cubes

This layer is made from 10 sticks.

a) How many cubes are in it?

This big cube is made from 10 layers.

b) How many sticks are in it?

c) How many small cubes are in it?


51

Shapes Questions 1

7b


Use the diagrams above to help you.

1) How many corners has a triangle?

2) How many corners has a rectangle?

3) How many sides has a hexagon?

4) How many sides has an octagon

5) How many corners has a pentagon?

6) How many sides has a rectangle?

7) How many corners has a square?

8) How many sides has a triangle?

9) How many sides has a square?

10) How many corners has an octagon?

11) How many sides has a pentagon?

12) How many corners has a hexagon?

13) How many sides has a trapezium?

14) How many corners has a parallelogram?


52

Shapes Questions 2

7b


Use the diagrams above to help you.

1) How many edges has a cube?

2) How many corners has a triangular prism?

3) How many faces has a cuboid?

4) How many edges has a cone?

5) How many edges has a cylinder?

6) How many faces has a sphere?

7) How many edges has a pyramid?

8) How many faces has a cylinder?

9) How many corners has a cuboid?

10) How many faces has a pyramid?

11) How many faces has a cone?

12) How many corners has a cube?


53

Angles 1

7b1) Here are 8 angles. Answer the questions about them.

(i) Which angle is the smallest?

(ii) Which angle is the largest?

(iii) Which angles are bigger than angle b?

(iv) Which angles are smaller than angle e?

(v) Which angle is nearest in size to angle b?

2)

a) b)c)

d)e)

f)

g)h)

In this triangle

Which angle is the largest?

Which angle in the smallest?

a b

c


54

Angles 2

7b

Look at these shapes.

There are 33 angles marked with letters.

Say whether the angles are:-

A right angle

Bigger than a right angle

Smaller than a right angle

a b

c

d e

f

gh

i

j

kl

m n

op

q

r s

tu

v

w

x

y

z

A

B

CD

E

F

G


55

Turning

7b

What will these T’s look like when turned? The first has been done for you.

12 turn clockwise

14

34

12

14

turn clockwise

turn clockwise

turn anti-clockwise

turn anti-clockwise


56

Similar Shapes 1

7bLook at these shapes.

Some of them are similar.

They are the same shape but bigger or smaller

For example, shapes ‘a’ and ‘c’ are similar.

What other shapes are similar?

a) b)c)

d)

e)f)

g)

h)i)

j) k) l)


57

Similar Shapes 2

7bLook at these shapes.

Some of them are similar.

They are the same shape but bigger or smaller

For example, shapes ‘e’ and ‘k’ are similar.

What other shapes are similar?

a) b) c)

d) e)f)

g) h) i)

j)k)

l)


58

Reflection Symmetry

7bEach of these shapes has reflection symmetry.

Copy these shapes.

Draw on them a line of symmetry.

The first one has been done for you.

a) b)

c)d)

e) f)

g) h)


59

Reflection

7bCopy these onto square dotty paper.Draw their reflections. The first has been done.


60

More Reflections

7bFinish off the reflections of these designs.


61

Area and Perimeter

7b

1) Count the squares to find the area of these.

2) What is the perimeter of each shape?

5cm

4cm

6cm

6cm

7cm

10cm

a) b)

f)

g)

7cm

7cm

c)

7cm

6cm

e)

6cm

9cm

d)


62

Equal Areas

7b

Shape 1 has the same area as shape i.

Which other shapes have the same areas?

1)

2)

3)

4)

5)

6)

7)

8)

9)

a)

b)

c)

d)

e)

f)

g)

h)

i)


63

Making Rectangles

7b

Each diagram shows two sides of a rectangle or square.

Draw two more lines to complete them.


64

Measurements

7b

Centimetre

Gram

Litre

Millilitre

Millimetre

Metre

Kilometre

Kilogram.

1) Which of these is used for the length of something?

2) Which of these is used for the weight of something?

3) Which of these is used for the capacity of something?

Use one of these words for each of questions 4 to 10.

4) What is used to measure an amount of petrol?

5) What is used to measure the distance from London to Cardiff?

6) What is used to measure the thickness of a pencil?

7) What is used to measure the length of your school?

8) What is used to measure the weight of a person?

9) What is used to measure the width of your desk?

10) What is used to measure the weight of a hamster?

11) Which is larger, 1 litre or 1 millilitre?

12) Which is larger, 1 metre or 1 kilometre?

13) Which is larger, 1 kilogram or 1 gram?

14) Which is larger, 1 centimetre or 1 millimetre?

15) 100 centimetres make 1 metre.

a) How many centimetres make half a metre?

b) How many centimetres make a quarter of a metre?

c) How many centimetres make two metres?


65

Reading Scales 1

7b

What number is the arrow is pointing to?

10 20

50 60

520 530

10 20

a)

b)

c)

d)

e)

f)

g)

0

10 200

0 100

300200


66

Reading Scales 2

7b

What number is the arrow pointing to?

0 100 200 300

0 50 100 150

0 20 40 60

a)

b)

c)

d)

e)

f)

g)

0 100 200 300

0 100 200 300

estimate

40 60 80 100

40 60 80 100

estimate


67

Time 1

7b

Write down the times on these clocks.

1

2

3

4567

8

9

10

1112 1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

a) b) c)

d) e) f)

g) h) i)

j) k) l)


68

Time 2

7bWhat is the time interval between these pairs of clocks?

The first has been done for you.

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

456

78

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112 1

2

3

4567

8

9

10

1112

From to

From to

From to

From to

From to

is 5 hours

a)

b)

c)

d)

e)


69

Digital Times a.m.

7b

Write down these a.m. times in digital form.

The first has been done.

1

2

3

4567

8

9

10

1112 1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

a) b) c)

d) e) f)

g) h) i)

j) k) l)

11:45


70

Digital Times p.m.

7b

Write down these p.m. times in digital form.

The first has been done.

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

1

2

3

4567

8

9

10

1112

a) b) c)

d) e) f)

g) h) i)

j) k) l)

14:50


71

Sorting 1

7bJessica lists all the pupils in group 7G.Thomas Daniel Emily Olivia Sophie

Mathew Lauren Jessica Mohammed Ryan

Bethany Abigail Molly Kaylie Eleanor

Adam Liam Sharron Michael Alice

Jacob Grace Joseph Sarah

a) Write a list of the girls. Write a list of the boys. The lists have been started for you,

Girls Boys Emily Thomas Olivia Daniel

b) How many girls are in the group? How many boys are in the group?

Jessica now draws two blocks. One block for the boys and one for the girls These are Jessica’s blocks. c) Say why she is wrong.

Draw two correct blocks.

Boys Girls


72

Sorting 2

7bHere are some pictures of shapes.They have 3 sides, 4 sides or 5 sides.Some are shaded and some are not.

a) How many 3 sided shapes are shaded?b) Put your answer in the table below. Finish off the table

3 sided shapes

4 sided shapes

5 sided shapes

Shaded Not shaded


73

Sorting 3

7bThe pupils in 7G are weighed.

Here is a list of their weights. They are in kilograms.

51, 50, 56, 46, 51, 52,

54, 57, 52, 59, 48, 55,

45, 41, 53, 47, 50, 50,

48, 45, 43, 55, 47, 52

a) Now write them down in order of size. Start with the smallest.

b) How many pupils weigh less than 45 kg?

c) Put this number in the table below. Finish off the table.

d) Now draw blocks to show this. The first block has been drawn for you.

Less than 45 kg

From 45 to 49 kg

From 50 to 54 kg

Over 54 kg

Numberof pupils

Less than45kg

From 45kgto 49kg

From 50kgto 54kg

Over54kg

2

4

6

8

10


74

Finding Information 1

7bJames did a survey in group 7E.

He wrote down the colour of their eyes.

This is what he got.

1) How many girls had blue eyes?

2) How many girls had green eyes?

3) How many boys had brown eyes?

4) How many boys are in the group?

5) How many girls are in the group?

6) What is the total in the group?

Chloe did a survey in group 7F.

These are the results she got.

7) How many boys are in 7F?

8) How many girls are in 7F?

9) Which group has the most pupils, 7E or 7F?

Blue eyes

Brown eyes

Green eyes

Number of girls

Number of boys

5 4

6 7

3 2

Blue eyes

Brown eyes

Green eyes

Number of girls

Number of boys

6 4

5 3

1 3


75

Finding Information 2

7bThe Park Cafe Menu

Bread and butter...................................................................£1.15

Main course

Fish pie..................................................................................£4.15

Ploughman’s Lunch...............................................................£3.65

Pizza......................................................................................£3.25

Beef Sandwich.......................................................................£2.90

Curry......................................................................................£3.90

Puddings

Ice cream...............................................................................£1.35

Fruit Salad..............................................................................£1.70

Piece of Cake.........................................................................£1.30

Drinks

Lemonade..............................................................................£0.60

Cola........................................................................................£0.85

Orange juice...........................................................................£0.75

Use the menu to answer these questions

1) What is the price of bread and butter?

2) What is the price of a pizza?

3) What is the most expensive food on the menu?

4) Charlotte buys these

A ploughman’s lunch.

A lemonade.

How much does she spend altogether?

5) Lewis buys a cola. He pays with a £1 coin. How much change does

he get?

6) Fruit Salad costs more than ice cream. How much more?


76

Information Tables 1

7b The A483 road begins in Swansea and ends in Chester.

This table shows some of the towns it goes through.

The number is the distance of that town from Swansea.

For example - Oswestry is 113 miles from Swansea.

a) How far is Wrexham from Swansea?

b) How far is Wrexham from Chester?

c) What is the distance from Chester to Swansea?

d) Owen travels from Llandeilo to Newtown. How far does he travel?

e) Megan travels 120 miles from Swansea. Which two towns is she

between?

f) How far is Builth Wells from Wrexham?

Swansea

Llandeilo

Builth Wells

Newtown

Welshpool

Oswestry

Wrexham

Chester

Distancefrom

Swanseain miles

Town

0

22

58

85

98

113

127

139


77


7b

The table below shows the temperature and rainfall for a week in July.

1) What was the temperature on Wednesday?

2) What was the temperature on Saturday?

3) What was the rainfall on Monday?

4) What was the rainfall on Friday?

5) Which day had the most rainfall?

6) Which day was the hottest?

7) Which two days had no rainfall?

8) Which two days had the same temperature?

9) On which day was the temperature lower than the day before?

10) What was the total rainfall for the week?

11) What is the difference between the highest and lowest temperatures.

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Monday

Temperaturein degrees C

Rainfall

in millimetres

18

21

25

16

18

19

20

2

0

9

12

3

2

0


78


7bHere is a bus timetable from Town Centre to Victoria Road.

For example, the 09:50 bus from the Town Centre arrives at Victoria

Road at 10:12.

a) A bus leaves Town Centre at 10:15. At what time will it arrive at

Victoria Road?

b) How long does the bus take to travel from Town Centre to Victoria

Road?

c) Ellie has to get to Victoria Road for 10:30.

What is the latest bus she can catch from Town Centre?

d) The next bus on the time table leaves Town Centre at 11:15.

At what time will it arrive at Victoria road?

e) The 10:15 from Town Centre is delayed by road works.

It arrives at Victoria Road at 10.43.

For how long was it delayed?

f) The next day the 09:15 was delayed by 4 minutes.

At what time did it arrive at Victoria Road?

g) The last bus of the day leaves Town Centre at 21:50.

i) What is this time on the 12 hour clock?

ii) What time is this on the 12 hour clock?

iii)At what time, on the 24 hour clock, will it arrive at Victoria Road?

City Buses – Town Centre to Victoria Road

Town Centre departs

Victoria Road arrives

09:15 09:50 10:15 10:50

09:37 10:12 10:37 11:12


79

Calendar 1

7bThis is the calendar for January and February.

Use it to answer these questions

a) On what day of the week is January 15th?

b) What date comes before January 1st?

c) How many days are there in February?

d) How many Fridays are there in February?

e) How many Fridays are there in January?

f) What is the 5th day after February 6th?

g) What is the date of the 4th Friday in January?

h) What is the 10th day after January 28th?

i) How many days are there from January 25th to February 3rd?

SMTWTFS

12

3456789

10111213141516

17181920212223

242526

282930

31

27

SMTWTFS

123456

789

10111213

14151617181920

212223242526

28

27

January

February


80

Calendar 2

7b

This is the calendar for August to November.

Use it to answer these questions.

a) On what day of the week is September 16th?

b) What is the date of the 2nd Tuesday in November?

c) Which month has the most Tuesdays?

d) How many days are there from October 30th until November 12th?

e) On what day of the week is the last day of July?

f) On what day of the week is December 1st?

g) How many weeks are there from August 5th until November 4th?

h) On 16th August Laura makes an appointment to see her dentist.

The dentist says ‘It will be 3 weeks today’.

What is the date of her appointment?

SMTWTFS

12

3456789

10111213141516

17181920212223

242526

282930

31

27

SMTWTFS

123456

789

10111213

14151617181920

212223242526

282930

27

SMTWTFS

1234

567891011

12131415161718

19202122232425

26

28293031

27SMTWTFS 1

2345678

9101112131415

16171819202122

23242526

2829

30

27

August September

October November


81

Using Information 1

7bHere are the distances between towns in Great Britain.

Two have been highlighted for you.

The distance between Aberdeen and Cardiff is 858 kilometres.

The distance between London and Norwich is 184 kilometres.

a) What is the distance between Cardiff and Newcastle?

b) What is the distance between Aberystwyth and Norwich?

c) How far is Birmingham from London?

d) Which two towns are furthest apart?

e) Which two towns are closest?

f) Which two towns are 576 kilometres apart?

g) Which two towns are 577 kilometres apart?

h) Hannah travels from Aberdeen to Birmingham.

Then she goes from Birmingham to London.

How far is her journey?

i) Which town is furthest from Norwich?

380177

753696858201577878379784

197188537

363467

172476161192336280

641326248512428

408624172576

345283385

460184 411

Aberd

een

Abery

stwyth

Birming

ham

Cardif

fEdin

burg

h

Liver

pool

Lond

on

Newca

stle

Norwich


82

Using Information 2

7b

Here is a list of TV programmes.

5:00pm Cartoon

5:15pm Local News 5:25pm Athletics 7:00pm Comedy Film 8:45pm National News 9:05pm History Programme 9:50pm Documentary 10:35pm Football 12:10am Adventure Film

Use the list to answer these questions.

a) At what time did the National News begin?

b) How long did the National News last?

c) At what time did the Comedy Film start?

d) How long did the Comedy Film last?

e) The Adventure film is the same length as the Comedy Film.

At what time did it finish?

f) Sam normally goes to bed at 9.30. He watches the History Programme.

How many extra minutes does he stay up?

g) The programme before the Cartoon lasted for 50 minutes.

At what time did it begin?

h) At what time on the 24 hour clock did the History programme start?

i) At what time on the 24 hour clock did the Adventure film start?

j) Lucy started watching the TV at 5.15.

She watched it for three and a half hours.

Which programmes did she see?


83

Pictograms

7bThe pictogram shows the people who go to a village fair.

Each person represents 10 people.


a) How many men went to the fair?

b) Which group were there most of?

c) How many girls went to the fair?

d) What do you think this represents?

e) Approximately how many boys went to the fair?

f) How many adults went to the fair?

g) How many people went to the fair altogether?

h) How many more girls than boys went to the fair?

Women

Men

Boys

Girls


84

Bar Charts 1

7b Alex does a survey in his group.

He asks them what they like to do best.

He shows the data on this block diagram.

a) How many pupils prefer listening to music?

b) What was the most popular thing to do?

c) What was the least popular thing to do

d) What did four people like doing?

e) How many pupils did Alex ask?

f) Finish off this sentence.

Twice as many pupils ..... ..... as ..... ..... .....

1

2

3

4

5

6

7

8

Reading Playing Listening Watching Using a

9

10

outside to music TV computer


85

Bar Charts 2

7b

A shop sells electrical items.

This bar chart shows what it sells in 1 week.

Use the diagram to answer the questions.

a) What was the most popular item sold?

b) What was the least popular item?

c) How many stereos were sold?

d) How many TVs were sold?

e) How many TV recorders were sold?

f) How many computers were sold?

g) How many radios were sold?

h) What was the total number of items sold?

4 8 12 16 20 24 28

TV

Stereo

TV Recorder

Computer

Radio


86

Charts and Pictograms 1

7b

This table shows the number of people who bought food in a cafe.


1) What was the most popular drink?

2) How many sandwiches were sold?

3) How many drinks were sold?

4) Which food sold seven portions?

Draw a pictogram to show the data.

Use a stick figures like this for 2 people.

Use half a stick figure like this for 1 person.

Ensure that your diagram is very neat.

Type of food Number of people

Sandwich

Soup

Cake

Coffee

Tea

14

7

6

18

12


87

Charts and Pictograms 2

7b

Ellie does a survey.

She checks 50 people in year 7.

She asks ‘What poster would you like in your bedroom?’

Here are her results.

a) Put in the frequency numbers.

b) How many pupils chose a pop star?

c) Use these numbers to draw a pictogram.

Use one stick person to represent 2 people.

Use half a stick person to represent 1 person

The pictogram has been started for you for you.

Type of Poster

Pop Star

Sports Person

Holiday Scene

Cartoon Character

Film Star

Tally Frequency

Pop Star

Sports Person

Holiday Scene


88

Frequency Tables 1

7b

Oliver does a survey.

He asks some boys their favourite sport.

This is what he puts down.

Look at the table then answer the questions.

a) How many people said cricket?

b) Finish off the frequency column.

c) Which sport is the most popular?

d) How many answered tennis?

e) How many answered rugby?

f) What was the total number asked?

g) What does mean?

h) Give 2 reasons why some answered ‘None of These’

Football

Cricket

Tennis

Rugby

Swimming

None of these

FrequencyTallySport

Total

5

10

8


89

Frequency Tables 2

7b

Cameron does a survey of some pupils.

He asks what they would like to do for a day out.

He recorded the data on a frequency table.

a) How many wanted to go to the museum?

b) How many wanted to go to the swimming baths?

c) Write down all the numbers in the frequency column.

d) Add together all the frequencies.

Put your answer in the ‘Total’ box.

e) How many people did Cameron ask?

f) What was the most popular day out?

g What was the least popular day out?

h) Which did six people choose?

Tally Frequency

Seaside

Museum

Place to visit

Cinema

Swimming baths

None of these

Leisure park

Total


90

Putting Data into Tables 1

7b

Ben does a survey of the pupils in his class.

He asks them how they get to school.

He gives them this choice,

Taxi (T), Bike (Bi), Car (C), Bus (Bu), Walk (W), None of these (N).

This is his list of results.

C, Bu, W, Bu, N, W, C, T, W, Bu, W, Bu, Bi, Bi,

N, C, C, Bi, Bu, T, W, Bu, Bi, C, Bu, Bu, N, Bi

He puts this data into a tally chart.

a) The first 8 tallies have been put in.

Finish off the tallies.

b) Put in all the frequencies.

Use the table to answer these questions.

c) How many pupils come to school in a car?

d) How many pupils are there in the class?

e) What is the most popular way to get to school?

Type of Transport

Taxi

Bike

Car

Bus

Walk

None of These

FrequencyTally


91

Putting Data into Tables 2

7b

The ages of the children who go to swimming club are:-

10, 11, 10, 12, 14, 11, 10, 13, 10, 11, 14,

11, 13, 12, 11, 11, 11, 10, 12, 13, 12, 11

a) Copy this frequency table into your book.

b) Fill in the tally column.

c) Fill in the frequency column.

d) Add up the frequencies and fill in the total.

Now use the table to answer these questions

e) How many members are aged 11?

f) How many members are there altogether?

g) How many members are under 13?

h) How many members are over 12?

i) What do you get if you add together answers g and h?

Age Tally Frequency

10

11

12

13

14

Total


92

Years

7bMatch these dates with the events from the twentieth century.

1966, 1936, 1924, 1918, 1985, 1947,

1953, 1990, 1912, 1969, 1901, 1997

1920

1930

1940

1950

1960

1970

1980

1990

2000

1910

1900 Queen Victoria dies

Titanic sinks

First World War ends

First radio station

School leaving age raised to 15

Coronation of Queen Elizabeth II

England win the World CupFirst man lands on the moon

First episode of Eastenders

Nelson Mandella released from prison

Tony Blair becomes Prime Minister

First TV station

93

Answers

Adding 1 - Page 7

Exercise 1 1) 4 2) 2 3) 8

Exercise 2 1) 9 2) 8 3) 3 4) 1 5) 3 6) 6 7) 5 8) 4

Subtracting - Page 8

Exercise 1 1) 4 2) 9 3) 5

Exercise 2 1) 1 2) 3 3) 3 4) 5 5) 7 6) 7 7) 6 8) 9

Dot Patterns - Page 9

1) Exercises

2) Examples

Roman Numerals - Page 10

1) 13, 14, 15 2) 20, 25, 30 3) VI 4) VII 5) VIII

6) XI 7) VIII 8) IX 9) XII 10) XV 11) VIII 12) VII

13) XV 14) XV 15) VII

Ordering - Page 11

Exercise 1 6, 14, 26, 27, 38, 39, 55, 64, 73, 77, 89, 93

Exercise 2 1) 18 2) 40 3) 63 4) 72 5) 89 6) 54

Putting in Signs - Page 12

Exercise 1 1) + 2) – 3) – 4) + 5) – 6) – 7) +

8) + 9) – 10) – 11) + 12) – 13) – 14) + 15) +

Exercise 2 1) a) + b) 7 + 11 c) £18

2) a) – b) 32 – 10 c) 22cm

3) a) – b) 22 – 7 c) 15

Adding 2 - Page 13

1) a) 20 b) 18 c) 35 d) 51 e) 65 f) 41 g) 28 h) 27

i) 26 j) 21 k) 29 l) 25

2) a) 89 b) 59 c) 54 d) 80 e) 53 f) 92 g) 80 h) 82

i) 38 j) 78 k) 65 l) 94

3) a) 88 b) 70 c) 64 d) 71 e) 89 f) 92 g) 78 h) 81

i) 61 j) 53 k) 66

Adding 3 - Page 14

1) a) 247 b) 287 c) 548 d) 351 e) 364 f) 479 g) 931

h) 504 i) 143 j) 241 k) 312 l) 431

2) a) 830 b) 723 c) 941 d) 866 e) 842 f) 1152

g) 1237 h) 1267 i) 460 j) 769 k) 1216 l) 1216

3) a) 935 b) 1069 c) 1300 d) 1060 e) 1615 f) 1724

g) 1633 h) 1581 i) 1045 j) 1085 k) 468

Subtracting 2 - Page 15

1) a) 14 b) 15 c) 11 d) 12 e) 6 f) 22 g) 17 h) 16

i) 5 j) 4 k) 1 l) 24 m) 30 n) 3 o) 18 p) 42

2) a) 23 b) 41 c) 31 d) 51 e) 28 f) 33 g) 44 h) 59

i) 15 j) 29 k) 46 l) 38 m) 66 n) 22 o) 17 p) 58

3) 11 4) 28 5) 28 metres

Subtracting 3 - Page 16

1) a) 36 b) 44 c) 34 d) 22 e) 66 f) 56 g) 16 h) 25

i) 31 j) 18 k) 8 l) 15 m) 47 n) 65 o) 24 p) 18

2) a) 191 b) 580 c) 485 d) 583 e) 583 f) 406 g) 713

h) 397 i) 196 j) 405 k) 371 l) 508 m) 303 n) 462

o) 489 p) 309

3) a) 284 b) 463 c) 378 d) 543 e) 609 f) 550 g) 437

h) 141 i) 641 j) 370 k) 321 l) 465

Adding Decimals - Page 17

a) 6.8 b) 12.8 c) 6.5 d) 4.3 e) 4.7 f) 9.5 g) 13.0

h) 11.5 i) 11.4 j) 13.6 k) 20.8 l) 10.4 m) 7.9

n) 7.7 o) 12.3 p) 13.0 q) 18.9 r) 13.8 s) 16.1

t) 19.1 u) 17.7 v) 12.8

Negative Numbers - Page 18

1) a) 25ºC b) 10ºC c) –5ºC

2) a) 6 b) –7 c) –3 d) –2 e) 3 f) –1 g) –4 h) –1

Number List - Page 19

1) 48 2) 148 3) 67 or 69 4) 70 and 80 5) 8 and 20

6) 48 and 68 7) 148 8) 80 and 8

9) 8, 20, 32, 35, 47, 48, 67, 69, 68, 70, 80, 148 10) 48

11) 35 12) 32 and 148 13) 68 14) 148 – 68

15) 20 and 8 16) 80 17) 69 18) 8, 20, 32, 48 19) 8

Subtracting Decimals - Page 20

a) 4.3 b) 2.3 c) 2.1 d) 1.5 e) 3.1 f) 0.2 g) 2.2

h) 2.7 i) 2.8 j) 1.0 k) 4.7 l) 2.4 m) 2.0 n) 3.5

o) 3.7 p) 3.8 q) 1.9 r) 1.7 s) 1.8 t) 5.0 u) 3.7

v) 4.2 w) 1.6 x) 1.4

Multiplying 1 - Page 21

a) 8 b) 9 c) 20 d) 35 e) 18 f) 42 g) 20 h) 96

i) 65 j) 44 k) 60 l) 51 m) 84 n) 126 o) 88

p) 27 q) 72 r) 48 s) 39 t) 72 u) 55 v) 96 w) 85

x) 115 y) 91 z) 96 a1) 119 b1) 92 c1) 74 d1) 86

Multiplying 2 - Page 22

a) 138 b) 155 c) 129 d) 280 e) 225 f) 213 g) 162

h) 280 i) 301 k) 280 l) 504 m) 369 n) 318 o) 189

p) 352 q) 57 r) 225 s) 192 t) 182 u) 217 v) 234

w) 296 x) 344 y) 332 z) 504 a1) 536 b1) 497

c1) 648 d1) 488 e1) 342

Dividing - Page 23

1) a) 10 b) 16 c) 22 d) 11 e) 14 f) 15 g) 12 h) 22

i) 18 j) 46 k) 37 l) 28 m) 24 n) 19 o) 13 p) 12

q) 13 r) 20 s) 17 t) 18 u) 16 v) 23 w) 22 x) 29

2) a) 12r1 b) 14r1 c) 14r3 d) 21r3 e) 13r2 f) 47r1

g) 15r1 h) 33r1 i) 23r1 j) 18r2 k) 13r2 l) 20r1

m) 15r3 n) 9r6 o) 9r1 p) 16r3 q) 9r1 r) 8r1

t) 6r6 u) 9r7 v) 10r2 w) 11r3 x) 8r7 y) 5r2

.... ... ...... .. .... ......... ...

....

.. .

94

Missing Numbers - Page 24

1) a) 5 + 24 = 29 b) 29 – 24 = 5 c) 24 + 5 = 29

2) a) 9 X 7 = 63 b) 63 ÷ 9 = 7 c) 63 ÷ 7 = 9

3) a) 50 – 17 = 33 b) 50 – 33 = 17 c) 33 + 17 = 50

4) a) 10 X 8 = 80 b) 80 ÷ 8 = 10 c) 80 ÷ 10 = 8

5) a) 80 ÷ 20 = 4 b) 20 X 4 = 80 c) 4 X 20 = 80

6) Half of 8, 1 + 3, 8 ÷ 2, 2 X 2, A quarter of 16,

Four times 1, Twice 2, 8 – 4

Missing Signs - Page 25

a) 3 + 2 b) 4 + 3 c) 4 – 3 d) 9 – 5 e) 2 X 6 f) 10 ÷ 2

g) 20 ÷ 10 h) 10 + 2 i) 23 – 2 j) 13 + 8 k) 14 – 5l) 21 ÷ 3 m) 5 X 5 n) 4 X 9 o) 45 ÷ 9 p) 6 X 6

q) 80 ÷ 10 r) 20 X 4 s) 8 X 8 t) 17 + 23 u) 90 ÷ 9

v) 14 X 2 w) 30 ÷ 2 x) 7 X 7 y) 5 + 5, 80 – 70,

5 X 2, 27 – 17, 6 + 4, 160 ÷ 16, 20 ÷ 2, 1 X 10

Number Sequences - Page 26

Exercise 1

1) 21, 22 2) 13, 15 3) 14, 16 4) 21, 24 5) 70, 80

6) 75, 85 7) 35, 40

Exercise 2

1) 24, 23 2) 35, 34 3) 19, 17 4) 12, 10 5) 33, 22

6) 20, 10, 7) 12, 9

Exercise 3

1) 39, 41 2) 22, 24 3) 27, 25 4) 30, 33 5) 55, 50

6) 28, 24 7) 36, 39

Number Lines - Page 27

a) 0.3, 0.5, 0.6 b) 0.2, 0.4, 0.8 c) 0.9, 1.2, 1.5

d) 1.4, 1.7, 2.0 e) 2.0, 2.1, 2.5 f) 2.2, 2.8, 3.6

g) 3.0, 3.6, 4.4

Putting Numbers into Order 1 - Page 28

a) 3, 5, 8, 9, 12, 17 b) 3, 7, 19, 21, 24, 28

c) 14, 15, 17, 22, 28, 32 d) 18, 23, 31, 37, 44, 63

e) 28, 41, 42, 45, 52, 83 f) 27, 28, 32, 47, 64, 72

g) 34, 52, 55, 62, 84, 93 h) 39, 49, 52, 72, 77, 86

i) 24, 36, 84, 93, 100, 107 j) 23, 45, 64, 65, 127, 156

k) 38, 49, 59, 137, 174, 239 l) 6, 16, 45, 172, 274, 294

m) 164, 222, 248, 329, 371, 451

n) 36, 423, 475, 631, 729, 935

o) 273, 386, 482, 483, 626, 757

p) 99, 152, 452, 472, 683, 731

q) 67, 82, 352, 562, 740, 845

r) 37, 83, 563, 824, 876, 935

s) 193, 284, 674, 735, 874, 929

Putting Numbers into Order 2 - Page 29

a) 4, 5, 7, 8, 13, 23 b) 5, 9, 26, 45, 57, 86

c) 43, 84, 87, 98, 153, 357 d) 59, 129, 359, 610, 647, 693

e) 0.1, 0.2, 0.3, 0.5, 0.6, 0.8 f) 0.2, 0.3, 0.4, 0.6, 0.7, 0.9

g) 0.6, 0.8, 1.0, 1.2, 1.3, 1.7 h) 0.4, 1.3, 1.5, 1.7, 1.9, 2.0

i) 0.4, 1.9, 2.1, 2.6, 2.8, 3.7 j) 0.4, 1.4, 1.6, 2.8, 3.2, 3.5

k) 0.7, 2.4, 2.6, 4.7, 5.9, 6.8 l) 2.9, 3.1, 3.6, 4.4, 5.9, 6.0

m) 1.9, 4.8, 5.8, 6.7, 7.5, 9.4 n) 2.8, 3.7, 3.9, 4.8, 4.9, 6.8

o) 5.1, 5.8, 6.4, 7.8, 7.9, 9.3 p) 2.6, 3.9, 4.8, 7.4, 8.4, 8.5

q) 3.5, 7.6, 8.5, 8.7, 9.1, 9.4 r) 3.8, 6.8, 7.3, 8.4, 8.5, 9.4

s) 2.8, 4.9, 6.4, 7.9, 8.4, 9.5

Making Numbers - Page 30

1) Any 10 from these

a) 1, 13, 14, 18, 138, 183, 134, 143, 184, 148, 1384,

1348, 1843, 1834, 1483, 1438

b) 3, 38, 34, 31, 384, 348, 381, 318, 341, 314, 3841,

3814, 3184, 3148, 3481, 3418

c) 4, 43, 48, 41, 438, 483, 431, 413, 481, 418, 4381,

4318, 4831, 4813, 4138, 4183

d) 8, 83, 84, 81, 834, 843, 841, 814, 813, 831, 8431,

8413, 8341, 8314, 8143, 8134

2) 4, 18, 34, 41, 48

Comparing - Page 31

a) < b) > c) > d) < e) < f) > g) < h) < i) <

j) > k) = l) < m) < n) < o) < p) > q) = r) >

s) = t) > u) > v) < w) > x) = y) = z) >

Working in Stages - Page 32

1) a) 23 + 10 = 33 b) 32 + 10 = 42

33 + 4 = 37 42 + 6 = 48

c) 29 + 10 = 39 d) 36 + 10 = 46

39 + 7 = 46 46 + 8 = 54

e) 41 + 20 = 61 f) 46 + 20 = 66

61 + 3 = 64 66 + 3 = 69

g) 45 + 20 = 65 h) 35 + 30 = 65

65 + 2 = 67 65 + 6 = 71

i) 38 + 40 = 78 j) 28 + 20 = 48

78 + 3 = 81 48 + 5 = 53

k) 42 + 10 = 52 l) 52 + 20 = 72

52 + 8 = 60 72 + 6 = 78

m) 33 + 30 = 63 n) 51 + 20 = 71

63 + 2 = 65 71 + 7 = 78

o) 37 + 20 = 57

57 + 4 = 61

2) a) 18 to 20 is 2 b) 19 to 20 is 1 c) 22 to 30 is 8

20 to 30 is 10 20 to 40 is 20 30 to 40 is 10

30 to 31 is 1 40 to 42 is 2 40 to 43 is 3

2 + 10 + 1 = 13 1 + 20 + 2 = 23 8 + 10 + 3 = 21

d) 16 to 20 is 4 e) 21 to 30 is 9 f) 26 to 30 is 4

20 to 50 is 30 30 to 37 is 7 30 to 50 is 20

50 to 52 is 2 9 + 7 = 16 50 to 53 is 3

4 + 30 + 2 = 36 4 + 20 + 3 = 27

g) 24 to 30 is 6 h) 26 to 30 is 4 i) 28 to 30 is 2

30 to 60 is 30 30 to 37 is 7 30 to 40 is 10

60 to 63 is 3 4 + 7 = 11 40 to 44 is 4

6 + 30 + 3 = 39 2 + 10 + 4 = 16

Counting on - Page 33

a) £16.50 to £17 is 50p b) £4.53 to £4.60 is 7p

£17 to £20 is £3 £4.60 to £5.00 is 40p

£3 + 50p = £3.50 £5 to £10 is £5

£5 + 40p + 7p = £5.47

c) £5.43 to £5.50 is 7p d) £16.45 to £16.50 is 5p

£5.50 to £6 is 50p £16.50 to £17 is 50p

£6 to £10 is £4 £17 to £20 is £3

£4 + 50p + 7p = £4.57 £20 to £50 is £30

£30 + £3 + 50p + 5p = £33.55

95

e) £7.34 to £7.40 is 6p f) £25.73 to £25.80 is 7p

£7.40 to £8 is 60p £25.80 to £26 is 20p

£8 to £10 is £2 £26 to £30 is £4

£2 + 60p + 6p = £2.66 £30 to £40 is £10

£10 + £4 + 20p + 7p = £14.27

g) £3.40 to £4 is 60p h) £7.53 to £7.60 is 7p

£4 to £10 is £6 £7.60 to £8 is 40p

£6 + 60p = £6.60 £8 to £20 is £12

£12 + 40p + 7p = £12.47

i) £24.62 to £24.70 is 8p j) £18.64 to £18.70 is 6p

£24.70 to £25 is 30p £18.70 to £19 is 30p

£25 to £30 is £5 £19 to £20 is £1

£5 + 30p + 8p = £5.38 £1 + 30p + 6p = £1.36

k) £29.68 to £29.70 is 2p l) £32.47 to £32.50 is 3p

£29.70 to £30 is 30p £32.50 to £33 is 50p

£30 to £40 is £10 £33 to £40 is £7

£10 + 30p + 2p = £10.32 £40 to £50 is £10

£10 + £7 + 50p + 3p = £17.53

m) £17.24 to £17.30 is 6p n) £9.96 to £10 is 4p

£17.30 to £18 is 70p £10 to £20 is £10

£18 to £20 is £2 £10 + 4p = £10.04

£20 to £30 is £10

£10 + £2 + 70p + 6p = £12.76

o) £8.66 to £8.70 is 4p p) £34.27 to £34.30 is 3p

£8.70 to £9 is 30p £34.30 to £35 is 70p

£9 to £10 is £1 £35 to £40 is £5

£1 + 30p + 4p = £1.34 £40 to £60 is £20

£20 + £5 + 70p + 3p = £25.73

q) £19.84 to £19.90 is 6p £23.76 to £23.80 is 4p

£19.90 to £20 is 10p £23.80 to £24 is 20p

£20 to £40 is £20 £24 to £30 is £6

£40 to £45 is £5 £30 to 35 is £5

£5+£20+10p+6p = £25.16 £5+£6+20p+4p = £11.24

Halves and Quarters - Page 34

1) a) b) c) d) e) f)

2) C, A, B 3) 20, 10, 5, 15

Fractions - Page 35

1) a) b) c) d) e) f) g) h)

i) j)

2) a) b) c) d) e) f) g)

h) i)

Equivalent Fractions - Page 36

1) a and d 2) b and c

Writing Fractions - Page 37

1) a) b) or c) d) e) f) g) h) or

i) j) or k) l)

2) a) b) c) d) e) f)

Lists of Numbers - Page 38

1) 10, 12, 14, 23, 25, 36, 37, 47, 48, 53, 56, 64, 67, 76, 82,

86, 94, 99

2) 105, 196, 264, 287, 375, 376, 463, 476, 532, 735,

743, 745, 765, 832, 851, 856, 934, 954

3) 746 Six units

543 Four tens

976 Nine hundreds

35 Five units

725 Two tens

504 Five hundreds

754 Five tens

632 Two units

342 Three hundreds

65 Five units

864 Six tens

987 Nine hundreds

345 Five units

275 Seven tens

845 Four tens

637 Six hundreds

945 Five units

773 Seven hundreds

Approximations - Page 39

1) 60, 80, 260, 470, 70, 480, 750, 840, 750, 530, 30

2) 800, 100, 300, 800, 400, 700, 500, 600, 800, 1000,

300, 500

Number Chains - Page 40

1) a) 18, 20 b) 40, 45 c) 22, 25 d)16, 19 e) 30, 34

f) 29, 34 g) 10, 6 h) 9, 6 i) 4, 5 j) –2, –3 k) –3, –5

2) a) add 2 b) add 5 c) add 3 d) add 3 e) add 4 f) add 5

g) subtract 4 h) subtract 3 i) add 1 j) subtract 1

k) subtract 2

Money Problems 1 - Page 41

1) a) 67p b) 33p 2) £6.42 3) £3.20 4) £10.40 5) £20

6) a) 3 b) 10p 7) £4.68 8) £1.48

Money Problems 2 - Page 42

1) £17 2) 32p, 78p, £3.45, £6, £8, £10.43, £16 3) £3.30

4) 15p 5) a) 25p b) 50p c) 75p 6) 11

Rules - Page 43

12--- 1

4--- 3

4--- 1

4--- 3

4--- 1

2---

12--- 1

9--- 1

3--- 1

16------ 1

4--- 1

8--- 1

4--- 1

7---

15--- 1

6---

25--- 5

8--- 3

10------ 2

5--- 4

5--- 3

8--- 5

9---

57--- 7

12------

34--- 1

2--- 2

4--- 1

5--- 4

5--- 3

5--- 2

5--- 1

3--- 3

6--- 1

2---

16--- 2

6--- 1

3---

23--- 1

4---

34--- 1

5--- 3

4--- 1

4--- 1

2--- 1

3---

34

5 6 7

45

6 7 8

1) 2)

5

67 8 9

91011 12 13

357 9 11

1315 5

79 11 13

1517 3

69

12151821

4

812

16202428

3) 4)

96

Making Patterns - Page 44

1) a) 2 white tiles b) 2 black tiles c) 2 white tiles d) 9

2) a) 3 matchsticks b) 3 matchsticks c) 3 matchsticks d) 16

Number Machines - Page 45

1) a) 7 b) 11 c) 15 2) 7, 6, 2, 12, 5, 5

Theatre Seats - Page 46

a) 16 b) 320 c) 9L d) 13E and 15E e) 6E, 7E and 8E f) 14F

Position - Page 47

a) (8,3), (8,9), (14,9), (14,12), (8,12), (8,15), (16,15), (16,18),

(5,18)

c) (16,3), (16,6), (8,6)

2D Shapes - Page 48

a) is a square b) is a triangle c) is a rectangle

d) is a pentagon e) is a trapezium f) is a parallelogram

g) is a hexagon h) is an octagon

3D Shapes - Page 49

a) is a triangular prism b) is a cube c) is a cone

d) is a sphere e) is a pyramid f) is a cylinder

g) is a cuboid

Little Cubes - Page 50

a) 100 b) 100 c) 1000 d) 6 e) 12 f) 2 g) 1 h) 2 i) 3

Shapes Questions 1 - Page 51

1) 3 2) 4 3) 6 4) 8 5) 5 6) 4 7) 4 8) 3 9) 4 10) 8

11) 5 12) 6 13) 4 14) 4

Shapes Questions 2 - Page 52

1) 12 2) 6 3) 6 4) 1 5) 2 6) 1 7) 8 8) 3 9) 8

10) 5 11) 2 12) 8

Angles 1 - Page 53

1) (i) c (ii) g (iii) g and h (iv) a, c, d and f (v) e 2) a, b

Angles 2 - Page 54

a - smaller b - right c - smaller d - bigger e - bigger

f - bigger g - bigger h - bigger i - bigger j - smaller

k - smaller l - smaller m - right n - right o - right

p - right q - right r - bigger s - right t - right u - right

v - right w - right x - smaller y - bigger z - smaller

A - bigger B - smaller C - smaller D - right E - bigger

F - smaller G - bigger

Turning. - Page 55

Similar Shapes 1 - Page 56

b and j d and i e and g f and k h and l

Similar Shapes 2 - Page 57

a and c b and g d and j f and l h and i

Reflection Symmetry - Page 58

e)

e)

0 5 10 15 20

5

10

15

20

A

12 turn clockwise

14

34

12

14

turn clockwise

turn clockwise

turn anti-clockwise

turn anti-clockwise

a) b)

c)

d)

e) f)

g) h)

97

Reflections - Page 59

More Reflections - Page 60

Area and Perimeter - Page 61

1) a) 20 square centimetres b) 36 c) 49 d) 54 e) 30 f) 54

g) 26

2) a) 18 centimetres b) 24 c) 28 d) 30 e) 26 f) 42 g) 26

Equal Areas - Page 62

2 - h 3 - g 4 - c 5 - e 6 - a 7 - b 8 - d 9 - f

Making Rectangles - Page 63

Measurements - Page 64

1) millimetre, centimetre metre, kilometre 2) gram,kilogram 3) litre, millilitre 4) litre 5) kilometre6) millimetres 7) metre 8) kilograms 9) centimetres10) grams 11) 1 litre 12) kilometre 13) kilogram14) 1 centimetre 15) a) 50cm b) 25cm c) 200cm

Reading Scales 1 - Page 65

1) 14 b) 52 c) 527 d) 6 e) 22 f) 40 g) 250

Reading Scales 2 - Page 66

a) 140 b) 360 c) 255 d) 30 e) 76 f) 49 g) 130

Time 1 - Page 67

a) 2 o’clock b) 7 o’clock c) half past 1 or one thirty

d) quarter to 6 e) quarter past 9 f) 25 past 4 g) 20 to 7

h) 10 to 3 i) 5 past 7 j) 20 past 12 k) 25 to 12 l) 10 past 9

Time 2 - Page 68

b) 1 hour 15 minutes c) 25 minutes d) 45 minutes e) 25 minutes

Digital Times am - Page 69

a) 11:45 b) 03:30 c) 00:20 d) 05:00 e) 10:40 f) 06:50

g) 01:55 h) 04:25 i) 07:05 j) 09:35 k) 08:10 l) 02:15

Digital Times pm - Page 70

a) 14:50 b) 17:25 c) 19:00 d) 21:30 e) 23:10 f) 19:45

g) 13:15 h) 14:20 i) 15:35 j) 23:05 k) 21:40 l) 23:55

98

Sorting 1 - Page 71

a) Girls Boys

Emily Thomas

Olivia Daniel

Sophie Mathew

Lauren Mohammed

Jessica Ryan

Bethany Adam

Abigail Liam

Molly Michael

Kaylie Jacob

Eleanor Joseph

Sharron

Alice

Grace

Sarah

b) 14 girls and 10 boys

c) The girls block should be bigger than the boys block.

Sorting 2 - Page 72

a) 3

b)

Sorting 3 - Page 73

a) 41, 43, 45, 45, 46, 47, 47, 48, 48, 50, 50, 50,, 51, 51, 52,

52, 52, 53, 54, 55, 55, 56, 57, 59

b) 2

c)

d)

Finding Information 1 - Page 74

1) 5 2) 3 3) 7 4) 13 5) 14 6) 27 7) 10 8) 12 9) 7E

Finding Information 2 - 75

1) £1.15 2) £3.25 3) Fish pie 4) £4.25 5) 15p 6) 35p

Information Tables 1 - Page 76

a) 127 miles 2) 12 miles c) 139 miles d) 63 miles

e) Oswestry and Wrexham f) 69 miles


1) 16ºC 2) 20ºC 3) 0 4) 2mm 5) Wednesday

6) Tuesday 7) Monday and Saturday 8) Sunday and

Thursday 9) Wednesday 10) 28mm 11) 9ºC


a) 10:37 b) 22 minutes c) 09:50 d) 11:37 e) 6 minutes

f) 09:41 g) (i) 9:50pm (ii) 10:12pm (iii) 22:12

Calendar 1 - Page 79

a) Friday b) December 31st c) 28 days (29 each leap year)

d) 4 e) 5 f) February 11th g) January 22nd

h) February 7th i) 9

Calendar 2 - Page 80

a) Tuesday b) 11th c) September d) 13 e) Thursday

f) Monday g) 13 h) 6th September

Using Information 1 - Page 81

a) 512 kilometres b) 467 kilometres c) 192 kilometres

d) Aberdeen and London e) Liverpool and Birmingham

f) Edinburgh and Norwich g) Aberdeen and Liverpool

h) 696 + 192 = 888 kilometres i) Aberdeen

Using Information 2 - Page 82

a) 8:45 b) 20 minutes c) 7:00 d) 1 hour 45 minutes

e) 1:55 f) 20 minutes g) 4:10 h) 21:05 i) 00:10

j) Local news, Athletics and Comedy Film

Pictograms - Page 83

a) 40 b) girls c) 70 d) 5 boys e) 55 f) 85 g) 210 h) 15

Bar Charts 1 - Page 84

a) 5 b) Playing Outside c) Watching TV d) Using a

Computer e) 29 f) Twice as many pupils play outside as

listen to music

Bar Charts 2 - Page 85

a) TV b) TV Recorder c) 22 d) 27 e) 13 k) 23 g) 18 h) 103

Charts and pictograms 1 - Page 86

1) Coffee 2) 14 3) 30 3) Soup

3 sided shapes

4 sided shapes

5 sided shapes

shaded not shaded

3 1

3 5

3 3

Less than 45 kg

From 45 to 49 kg

From 50 to 54 kg

Over 54 kg

Numberof pupils

2

7

10

5

Less than45kg

From 45kgto 49kg

From 50kgto 54kg

Over54kg

2

4

6

8

10

Sandwich

Soup

Cake

Coffee

Tea

99

Charts and pictograms 2 - Page 87

a) 13, 14, 3, 9, 11 b) 13

c)

Frequency Tables 1 - Page 88

a) 8 b) 6, 8, 13, 50 c) Football d) 6 e) 8 f) 50

6) 5 people h) they don’t like sport or their favourite is

something else etc.

Frequency Tables 2 - Page 89

a) 4 b) 3 c) 6, 4, 12, 4, 3, 4 d) 33 e) 33 f) Cinema

g) Swimming h) Seaside

Putting Data into Tables 1 - Page 90

a) and b)

c) 5 d) 28 e) Bus

Putting Data into Tables 2 - Page 91a) to d)

e) 8 f) 22 g) 17 h) 5 i) the total

Years - Page 921966 - England win The World Cup

1936 - First TV station

1924 - First radio station

1918 - First World War ends

1985 - First episode of Eastenders

1947 - School leaving age raised to 15

1953 - Coronation of Queen Elizabeth II

1990 - Nelson Mandella released from jail

1912 - Titanic sinks

1969 - First man lands on the moon

1901 - Queen Victoria dies

1997 - Tony Blair becomes Prime Minister

Pop Stars

Sport

Holiday

Cartoon

Film

Type of Transport

Taxi

Bike

Car

Bus

Walk

None of These

FrequencyTally

2

5

5

8

5

3

Age Tally Frequency

10

11

12

13

14

Total

5

8

4

3

2

22

Exercises in KS3 Mathematics Year 7 Basics · PDF fileYear 7 Basics R Joinson Sumbooks. Sum...

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