General Certificate of Secondary Education MATHEMATICS ...

1 1 GCSE Bitesize examinations General Certificate of Secondary Education MATHEMATICS Foundation tier Paper 1 Non-calculator Marking scheme Unless otherwise stated, correct answers only should be accepted. 2 Correct answers only should be accepted. 1. (a) 1653 (1 mark) (b) 494 (1 mark) (c) or 271/2 (1 mark) 2. (a) (1 mark) (b) 38% (1 mark) (c) 259 1 mark for showing 5018 (2 marks) (d) 300 000 (1 mark) (e) 81 (1 mark) 3. (a) A ( 2 , 2) B ( 2 , 4) C (3 , 4) (3 marks) (b) D (3 , 2 ) (2 marks) 4. (a) 4433 129 4030 2821 Take 1 mark off for each incorrect answer. (2 marks) (b) 123 25% Take 1 mark off for each incorrect answer. (2 marks) 3 5.

2 (a) 1 mark for any ONE of two black squares. (1 mark) (b) Draw one line of symmetry onto this pattern. (1 mark) (c) Cuboid or equivalent (1 mark) 6. (a) Hexagon (1 mark) (b) 720 (2 marks) 1 mark for 6 triangles or 6 180 (c) 120 (1 mark) 7. (a) 3 (1 mark) (b) 5 (1 mark) (c) (2 marks) 8. (a) 28 1 mark for showing 18 + 10 (2 marks) (b) 18 (1 mark) (c) 2 (2 marks) 1 mark for showing -10 and -12 4 9. (a) 75 kg (1 mark) (b) 100 m (1 mark) (c) m (1 mark) (d) 125 ml (1 mark) 10. (a) 101 or (NOT 10%) (1 mark ) (b) 103 or (NOT 30%) (1 mark) (c) 104 or 52 or (2 marks) 1 mark for showing 4, or 1 mark for the list of primes: 2, 3, 5, 7 11.

3 (a) (1 mark) (b) 2m (1 mark) (c) m/s or m/s (2 marks) 1 mark only if m/s is not included. (d) 6 to 8 seconds (1 mark) (e) The car has stopped (1 mark) 12. (a) 8a + 4b (2 marks) (b) 8x + 6 (2 marks) (c) 7 (1 mark) (d) 3 (1 mark) (e) 7 (2 marks) 1 mark for showing 3x = 21 5 13. (a) 1200cm (2 marks) 1 mark for showing 1200 without the units cm3. (b) 1440cm (2 marks) 1 mark for showing that 20% is 240. 14. (a) 88 (2 marks) 1 mark for showing 22 4 or 22 360 90, or 22 90 360 (b) 9 1 mark for showing 10% of 90 (2 marks) 15. Rakesh: 25 Tina: 15 (3 marks) 1 mark for showing 40 8, and 1 mark for showing 5 x 5 and 3 x 5 16. (a) 1760 (2 marks) 1 mark for showing 1080 + 680 (b) 120t + 40c (2 marks) 6 17.

4 (a) 1 mark for orientation and 1 mark for position. (2 marks) (b) 1 mark for correct orientation and 1 mark for position. (2 marks) (c) (3 marks) 7 18. (a) x = 150 (1 mark) (b) y = 85 and z = 95 (2 marks) (c) 1 mark if there is one error. Acute angle 21 , 89 Obtuse angle 156 , 175 Reflex angle 310 Right angle 90 (2 marks) 19. (a) 72 (2 marks) 1 mark for showing that 20% of 90 is 18. (b) 70 (2 marks) 1 mark for showing that 92 of 90 is 20 (c) 2 (1 mark) 20. (a) 1, 4, 7, 10 (1 mark) (b) 13, 16 (2 marks) (c) Add 3, plus 3 or similar (1 mark) (d) Times 3 take away 2, or 3 - 2, or 3x - 2, or similar. (2 marks) 1 mark for each part of the workings. 8 21. (a) Complete the table for the equation y = 3x + 1 x -3 -2 -1 0 1 2 3 4 y -8 -5 -2 1 4 7 10 13 Take 1 mark off for each incorrect answer.

5 (3 marks) (b) 1 mark for plotting 1 mark for drawing the straight line. (2 marks) (c) Add the line y = 7 to your graph. (1 mark)