©HarperCollinsPublishers 2019 ✂✂Mathematics Set A - Answers100

Set A – Paper 1

Question Answer Mark Comments

1 (a) 6 B1

1 (b) 27 B1

1 (c) 35 B1

2 16 B1

3 2x + 8 B1

4 (a) Triangular prism B1

4 (b) Six vertices and 9 edges ticked

B1 With no other boxes ticked

5 114

B1

6 125 : 75 M1

5 : 3 A1

7 (a) 13 B1

7 (b) 3n seen Or show that the sequence is going up in 3’s

M1

3n + 1 Or × 3 then + 1 implied

M1

151 A1 cao

8 64 ‘–15’ then attempted

M1 In the correct order

7 A1 Accept −7

9 40 ÷ 3 or 13 seen M1

1.25 × 13 M1 Must attempt a partition method

16.25 B1 cao

£16.73 A1 scB1 for £17.50 (with no other method marks seen)

10 (a) 468 ÷ 4 M1 Accept ¼ of 468

117 A1

10 (b) 360° – 90° – 120° – 78° (= 72°)

M1

72360

× 100M1 oe

20% A1

11 (a) x = 15 A1

11 (b) 3x < 4 + 5 M1

x < 3 A1 scB1 for answer of 3 if M0

11 (c) 4 or x3 seen M1

4x3 A1 cao

Question Answer Mark Comments

12 (a) 23 B1

12 (b) 139 – 93 M1

46 A1

12 (c) An attempt to order the middle row or find the ‘12th’ value

M1

113 A1

13 (a) Answer in range 125°−130°

B1

13 (b) Answer in range 1.65 − 1.85 km

B1

13 (c) Bearing of 290° drawn

B1

Point D marked exactly 4.4 cm from T

B1 Point D must be on bearing of 290° for 2 marks

14 120 ÷ 5 × 2 (= 48) M1

‘120’ – ‘48’ (= 72) M1dep

‘72’ ÷ [4 + 5] (= 8) M1dep

40 mins A1

15 (a) 50 × (60 ÷ 6) (= 500)50 ÷ 6 ≈ 8

M1

500 × 8 = 4000 or500 × 20 = 10 000 or500 × 24 = 12 000

‘8’ × 60 × 8 = 480 × 8; 500 × 8 = 4000 or‘8’ × 60 × 24 = 480 × 24; 500 × 20 = 10 000 or‘8’ × 60 × 8 = 480 × 24; 500 × 25 = 12 500

A1 This answer mark will be affected by the assumption made in part (b)

15 (b) An assumption supports their method in part (a) e.g. ‘the machine operates for 8 hours per day’ or ‘the machine operates for 24 hours a day’

B1

21383_P099_105_AQA_GCSE_Maths_Foundation_Set A_Answers.indd 100 15/11/2018 11:54

101©HarperCollinsPublishers 2019✂✂ Mathematics Set A - Answers

Question Answer Mark Comments

16 (a)Alt 1

325

110

450

> >B1

Benjamin C1 dep

16 (a)Alt 2

‘Because they each did different numbers of trials’

B1 Accept similar statement

‘I can’t tell’ B1 dep

Accept similar statement

16 (b) Josue B1

He did the most trials

B1 Accept similar statement

17 (a) 615

515

+M1 oe, allow one

error in the numerators

1115

A1

17 (b) 9 12 6

××

M1

34

A1 oe

18 (a) 30 seconds B1

18 (b) 12005

or

1.25

M1

4 m/s A1

18 (c) 12006

÷ 60

(= 3.33... mins)

M1

3 mins 20 seconds B1

Straight line drawn from (6, 1.2) to a point marked on the x axis between 9 and 9.5

A1 Point must be > 9

19 4x or x + 12 seen M1 Accept other letters used instead of ‘x’

x + 4x = x + 12 M1

3 A1 Trial and error scores zero unless final answer is correct

Question Answer Mark Comments

20 320π ÷ 20 (=16π) M1 Allow 320 ÷ 20

'16' (= 4) M1

‘4’ × 2 M1

8 cm A1 cao

21 (a) 96 000 000 B1 Accept 96 million

21 (b) 5 in the correct order

B1

France, UK, Egypt, Japan, US, China

B1 Fully correct

21 (c) 65 500 000 or 6.55 × 107

B1 In the 1st position

66 500 000 or 6.65 × 107

B1 In the 2nd position

22 100 (mins) = 80% or (100 ÷ 80) × 100

M1 Allow any correct % equivalent e.g. 50 (mins) = 40%

125 minutes A1 cao

23 (a)sin 30º sin30

12

o =B1 oe

23 (b)sin 30º

xosin305

=M1

12

5×M1 ft Allow ft from

part (a)

2.5 cm A1 oe

245

15

1 =−

or 1 – 5–1

M1

45

A1

Set A – Paper 2

Question Answer Mark Comments

1 2.4 B1

2 (a) 2340 g B1

2 (b) 640 cm B1

3 (a) 2x – 2y B1

3 (b) 12a B1

4 Regular B1

Hexagon B1

5 4 + 6 + 3 + 1 + 7 (= 21)

M1 Allow 1 error

3 A1

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