BBC bitesize non calculator (higher) mark scheme

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

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…

5. (a) 0.375 (1 mark)

(b) x = 0.24242424... (1)
100x = 24.24242424...(2)
(2) - (1) 99x = 24

24
x= (2 marks)
99

8
x= (1 mark)
33
(You must show working for first two marks)

6. (a) 3a 2 b(a + 4b + 3a 3b 2 ) (1…

8. 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…

-9
10. (a) x or equivalent (1 mark)
2

(b) ­3, ­2, ­1, 0, 1, 2, 3 (1 mark)

(c) ­2, ­1, 0, 1, 2, 3, 4, 5, 6, 7 (2 marks)


11. (a) Either:

23 7
-
5 3

69 35
= - (1 mark)
15 15

34
=…

12. (a) (i)




1 mark if 2 or less incorrect. (2 marks)

1
(ii) 8 or equivalent (2 marks)

5
(b) or equivalent (3 marks)
12


13. (a) 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…

1
15. (a) (1 mark)
7

(b) 212 (1 mark)

(c) 49 (2 marks)


16. (a) 2 x(x +1) + 2(x +1)(x + 2) + 2x(x + 2) or any equivalent (3 marks)

1 mark for showing x(x + 1) or (x + 1)(x + 2) or x(x + 2)…

17. (a) 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…

19. 3 marks for one error, 2 marks for 2 errors, 1 mark for 3 errors and 0 marks for
more errors. (4 marks)




Function Graph

y = ( x - 1) 2 B
y = x + 5x + 6
2
A
y = 2x +1
2
D
y…

21. (a) 60° (2 marks)
1 mark for showing 4 = x o / 360 × 24

(b) 2.5 cm (2 marks)


-3 -4
22. Solutions: (0,1) , (3 marks)
5 5

1 mark for showing x 2 + y 2 = 1 , y = 3 x + 1…