Edexcel GCSE Linear Higher Tier Calculator June 2010 Answers

Edexcel GCSE Linear Higher Tier Calculator June 2010 Answers

1. Adapting a recipe
180 g raspberry jelly
12 sponge fingers
630 ml custard
270 g tinned fruit (3 marks)

2. Scatter graph
a) Plot point (1 mark)
b) Positive (1 mark)
c) 7.1 (or a number close to this) (2 marks)

3. Exchange rates
(a) 775 (2 marks)
(b) 2 (3 marks)

4. Straight line from a table of values
(a) Missing numbers -2, 4, 7 (2 marks)
(b) Straight line graph (2 marks)

5. Angles in parallel lines
(i) 112 degrees
(ii) Angles on a straight line = 180 degrees and corresponding angles are equal (other answers are acceptable) (3 marks)

6. Using a calculator
(a) 0.506329113 (2 marks)
(b) 0.51 (1`mark)

7. Circumference of a circle
37.7 (2 marks)

8. Trial and improvement
1.9 (4 marks)

9. Percentages
24% (2 marks)

10. Probability
(a) 0.2 (2 marks)
(b) 150 (2 marks)

11. Triangle and linear equation
(a) It is isosceles (1 mark)
(b) 20 (2 marks)

12. Right-angled triangle
a) Area = 42 (2 marks)
b) AB = 15.23 (3 marks)

13. Plans and elevations
(a) Front : a rectangle 4 cm across and 2 cm high (2 marks)
(b) Plan: a rectangle 4 cm across and 3 cm high (2 marks)

14. Mean from a frequency table
102.7 (4 marks)

15. Inequalities
(a) -3, -2, -1, 0, 1 (2 marks)
(b) x > 4.5 (2 marks)

16. Loci
Construct angle bisector (2 marks)

17. Changing the subject
(2 marks)

18. Standard form
(a) (1 mark)
(b) 0.00248(1 mark)
(c) (2 marks)

19. Quadratics
(a) (2 marks)
(b) x = 5 or x = 2 (1 mark)

20. Trigonometry
8.48 (3 marks)

21. Upper bounds
(a) 28.5 (1 mark)
(b) 352 (3 marks)

22. Indices
(a) (1 mark)
(b) (1 mark)
(c) (2 marks)
(d) (2 marks)
(e) (2 marks)

23. Similar shapes
I am providing working here as this question has promoted some debate.
You need to understand that mass is proportional to volume. We know this as the densities of the two solids are the same (it says they are made from the same material).
Area scale factor is 25 : 9
Length scale factor is 5 : 3 (square root)
Volume scale factor is 125 : 27 (cube)
Multiply the volume ratio by 4 as 500 divided by 125 = 4
Answer: 108 grams (4 marks)

24. Sampling
(a) Each item in the sample has an equal chance of selection (1 mark)
(b) Put them in a hat and draw 10 out (or any other reasonable method) (1 mark)
(c) 7 (2 marks)

25. Histogram
(a) Missing entries in table are 12 and 6 (2 marks)
(b) First bar of height 5 cm and second bar of height 1 cm (2 marks)

26. Sector of a circle
1.77 (5 marks)

27. Graph transformations
(a) (1 mark)
(b) (4,3) (2 marks)