# GCSE maths calculator (higher) mark scheme

Mark scheme for the maths calculator (higher) paper

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GCSE Bitesize examinations
General Certificate of Secondary Education
MATHEMATICS
Higher Tier
Paper 2 Calculator
Marking scheme
Unless otherwise stated, correct answers only should be accepted.
1

## Other pages in this set

### Page 2

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Answer all questions in the spaces provided.
1. 19.9 (3 marks)
2 marks for showing 19.87 or 19.870
2 marks for 16.27026787 + 3.6
41.421736 + 2.507987241 + 3.6
1 mark for showing
2.7
2. 245g (2 marks)
140
(1 mark for × 21 )
12
3. (a)
(i) 156700000 = 1.567 × 10 8
(ii) 0.000341 = 3.41 × 10 -4 (1 mark)
(b)
(i) 2.6 × 10 5 = 260000
(ii) 9.02 × 10 -3 = 0.00902 (1 mark)

### Page 3

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£194.05 (3 marks)
2 marks for showing £1793.05, or 1 mark for showing £267.05
8. (a) 27x6y9 (2 marks)
1 mark if 27 or x6 or y9 seen
x
(b) (3 marks)
x -1
1 mark for x(x + 4)
1 mark for (x + 4)(x ­ 1)
9. Fast Coach is better. (2 marks)
(i) It has a lower average journey time, so the trains

### Page 5

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Midpoint ,2 (2 marks)
2
- 2 + 5 1+ 3
1 mark for showing ,
2 2
Length 7.28 (2 marks)
1 mark for showing 7 2 + 2 2
14. 22.3° (4 marks)
1 mark each for showing correct substitution into cosine rule and/or correct
simplification of cosine rule and/or cos A = 0.8
80 2 + 100 2 - 60 2
1 mark for cos A =
2 × 80 × 100
1 mark for cos A = 0.…read more

### Page 6

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Fill in the following table for the function: y=x2 -3x-3 (3 marks)
x ­2 ­1 0 1 2 3 4 5
y 7 1 ­3 ­5 ­5 ­3 1 7
(b) Plot the graph (2 marks)
1 mark for one error, 0 marks for more errors.
(c) 3.8, ­0.8 (3 marks)
(d) ­1.4,
4.4 (3 marks)

### Page 7

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Ice-Cream
Weather
Stall
Profit 0.78 Sunny 0.32
Break even 0.07 Dull 0.5
Loss 0.15 Raining 0.18
(2 marks)
(b) No. They are not independent. The profit on ice-cream
depends on good weather. (2 marks)
For 2 marks must show `No' and `not independent'
17. (a)

### Page 8

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± (b 2 - 4ac)
x=
2a
and showing a = 2 b = 17 and c = 3
1 mark for - 8.3197 AND ­ 0.1803
19. 2a (1 mark)
If the top angle is a then x = 2a
If x = 2a then y = 360 ­ 2a because they make a full turn. (1 mark)
Then z = half of this so 180 ­ a (1 mark)
So, a + z = a +180 ­ a = 180.…read more

### Page 10

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A= (3 marks)
s2
2 marks for not rounding the answer.
k
1 mark for showing 6.7 = and/or 1 mark for showing k = 35.4
2.3 2
(b) s = 2.61cm (3 marks)
2 marks if not rounded to 2 significant figures.
35.4 35.4
1 mark for showing 5.2 = 2
and/or 1 mark for s 2 =
s 5.2
23. (a) 600 (1 mark)
(b) 160 < h 170 (1 mark)
(c) 160 < h 170 (2 marks)