Edexcel GCSE Linear Higher Tier Non Calculator June 2010 Answers

1. Collecting like terms
8x + 6y (2 marks)

2. Stem and leaf diagram
4 | 3 5 7 7
5 | 0 3 3 5 6 7 8 8 8
6 | 1 2 2
Key 4 | 3 = 43 grams (3 marks)

3. Angles
(i) 40 degrees
(ii) Angles on a straight line sum to 180 degrees, it is an isosceles triangle, angles in a triangle sum to 180 degrees (4 marks)

4. Travel graph
(a) 1010 (1 mark)
(b) 13.3 km (you don’t need to be this accurate) (1 mark)
(c) Draw straight line down to meet time axis at 1150 (1 mark)

5. Rotation
Triangle with vertices at (1, -2) (-1, -2) and (1, -5) (2 marks)

6. Enlargement
Enlargement by scale factor 2 about (1, 0) (3 marks)

7. Sharing in a ratio
Anna £16 and Bill £24 (3 marks)

8. CD survey
(a) 15-19 (1 mark)
(b) Frequency polygon (2 marks)

9. Volume of triangular prism
120 (2 marks)

10. Multiplication
162.72 (3 marks)

11. People in the cinema
160 adults (4 marks)

12. Exterior angle of a regular pentagon
72 degrees (2 marks)

13. Improving a questionnaire
Overlapping boxes – a person who buys 5 DVDs could tick either of the first two boxes
No time period (2 marks)

14. Quadratic graph
(a) Missing y values 3, -3, -1 (2 marks)
(b) Graph of a parabola (U shape) (2 marks)
(c) x = 1.3 or x = -2.3 (1 mark)

15. Product of prime factors
2 x 2 x 3 x 3 x 5 (if you used indices this is fine) (3 marks)

16. Multiplying mixed fractions
(3 marks)

17. Algebra
(a) (1 mark)
(b) (3 marks)
(c) (2 marks)
(d) (2 marks)

18. Similar triangles
(a) 18 (2 marks)
(b) 10 (2 marks)

19. Depreciation of a car
£3240 (3 marks)

20. Dimensions
(a) Tick and (2 marks)
(b) 8000000 (2 marks)

21. Linear simultaneous equations
x = 4 and y = -2 (4 marks)

22. Cumulative frequency
(a) (1 mark)
(b) 16, 42, 65, 75, 80 (1 mark)
(c) Draw cumulative frequency graph (2 marks)
(d) Median = 29 (or an answer close to this)
IQR = 16 (or an answer close to this) (3 marks)

23. Equation of a straight line
(3 marks)

24. Indices
(i) 1
(ii) 8
(iii) (4 marks)

25. Quadratic involving Pythagoras’ Theorem
(a) Show the quadratic equation (3 marks)
(b) x = 6 or x = -2
(c) 10 (4 marks)

26. Probability
(4 marks)

27. Circle theorems
There are many different correct ways to do this question
29 degrees (5 marks)