BBC bitesize non calculator (higher) mark scheme

markscheme for the non calculator (higher) paper.

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

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Answer all questions in the spaces provided
1. (a) 432 = 33 × 2 4
522 = 2 × 3² × 29 (1 mark)
(b) HCF = 18 (1 mark)
2. AC = 8 cm (2 marks)
AC2 + 62 = 102
102 ­ 62 = AC2
100 ­ 36 = 64
3.…read more

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You must show working for first two marks)
6. (a) 3a 2 b(a + 4b + 3a 3b 2 ) (1 mark)
-3
(b) x =2, x= (2 marks)
2
1 mark for showing (2x+ 3)(x- 2)
-3
(c) x= (2 marks)
2
1 mark for showing 3x + 2 + 3x - 3 = 4x - 4 or equivalent removal of
quotient.
7. (a) Add a bar to the histogram showing the frequency density for the interval
350-499.
1 mark for showing 0.…read more

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Using a ruler and pair of compasses only, and making sure you leave all
construction lines visible:
(a) Construct a triangle of side lengths 4cm, 5cm and 6cm (2 marks)
or 2 marks for side lengths to within ± 2mm
(b) Construct a square of side length 5cm (3 marks)
or 2 marks for side lengths to within ± 2mm
9.…read more

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­3, ­2, ­1, 0, 1, 2, 3 (1 mark)
(c) ­2, ­1, 0, 1, 2, 3, 4, 5, 6, 7 (2 marks)
11.…read more

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Angle ACB 37.5° (1 mark)
(b) Angle BDA 37.5° (2 marks)
(c) Angle ABD 112.5° (2 marks)
1 mark for indicating triangle ABD and 180°
14.
(a) Are you in favour of the new road? (2 marks)
1 mark only for each suggestion biased towards either side.
(b) (3 marks)
(i) Range of different places, ie different villages and town
(ii) Different jobs
(iii) Different types of housing or position in each place chosen.…read more

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Length of shortest side = 2 units (3 marks)
OR
1 mark for showing x 2 + 2 x - 8 = 0 or equivalent
1 mark for showing ( x +4)( x -2) = 0
7…read more

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EF = - b (1 mark)
(b) DB = ­( b + c) or - b - c (1 mark)
(c) FD = a + b (1 mark)
(d) AO = ½ ( a + b + c ) (2 marks)
or a + c
or b
1 mark each, maximum 2
18.…read more

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Function Graph
y = ( x - 1) 2 B
y = x + 5x + 6
2
A
y = 2x +1
2
D
y = x2 - x - 6 C
y = 2( x - 2) 2
E
20. (a) 2.310 x 103 (2 marks)
(1 mark for 2310 seen)
(b) 5 x 10-2 (3 marks)
1
(1 mark for or 0.05)
20
(c) 250 000 (2 marks)
(1 mark for showing 2.…read more

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° (2 marks)
1 mark for showing 4 = x o / 360 × 24
(b) 2.5 cm (2 marks)
-3 -4
22.…read more

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