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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

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…

Page 3

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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.…

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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

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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

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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

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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

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21. (5 marks)




1 mark for each correct line
1 mark for shading
1 mark for complete accuracy




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Page 10

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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…

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