## Pages in this set

### Page 1

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

### Page 2

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…

### Page 3

7. £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.…

### Page 4

12. (a) (3 marks)

3 marks for all correct, 2 marks for one error, and 1 mark for two errors.

25
(b) (2 marks)
49

9 16
1 mark for showing +
49 49

4

### Page 5

3
13. 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…

### Page 6

15. (a) 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,…

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16.

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)
No. of
those to…

### Page 8

2 x 2 + 8x + 3
18. (a) (2 marks)
3x

1 mark for showing :

9x + 3 2x 2 - x
+
3x 3x

b) x = -8.32 and x = -0.18 (3 marks)
1 mark for substitution into formula

- b ± (b 2 - 4ac)…

### Page 9

21. (5 marks)

1 mark for each correct line
1 mark for complete accuracy

9

### Page 10

35.4
22. 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…