GCSE Mathematics Linear Foundations Answers
1. Words and figures
(a) £3.50 (1 mark)
(b) £3.05 (1 mark)
(c) £3510 (1 mark)
2. Shapes
(a) Mark the right angle (1 mark)
(b) Mark the acute angle (either angle at the bottom) (1 mark)
(c) Draw a kite (1 mark)
3. Circle
(a) Draw a circle radius 4 cm (1 mark)
(b) Draw the diameter (1 mark)
4. Cinema tickets
(a) £10.75 (1 mark)
(b) Adult tickets = 7 (2 marks)
(c) Change = £1.55 (3 marks)
5. Pattern
(a) 3rd even number = 6 (1 mark)
(b) Complete pattern 4 (1 mark)
(c) Table missing values are 12 and 15 (2 marks)
(d) Multiply 100 by 3 or similar answer (1 mark)
6. Bar chart
(a) Complete two missing bars (2 marks)
(b) 6 red sweets (1 mark)
(c) Mode = yellow (1 mark)
(d) 29 sweets in the bag (1 mark)
7. 3D shapes
(i) Cone
(ii) Cylinder (2 marks)
8. Fractions and decimals
(a) 3/4 is shaded (2 marks)
(b) Shade 2/7 of the shape (1 mark)
(c) 0.3 (1 mark)
(d) 39/100 (1 mark)
9. Line AB
(a) Length in cm = 6.4 (1 mark)
(b) Mark midpoint with X (1 mark)
10. Post Office
(a) Complete frequency table with 7, 4, 2, 1, 2 (2 marks)
(b) Mode = 2 (1 mark)
(c) Range = 4 (2 marks)
11. Carpet cleaner
(a) £22 (2 marks)
(b) 8 days (3 marks)
12. Marking number line
(a) 33 (1 mark)
(b) 180 (1 mark)
(c) Mark 110 (1 mark)
(d) mark 0.27 (1 mark)
13. Numbers in a rectangle
(a) Multiple of 4 = 12
(b) Factor of 21 = 3
(c) Prime = 3
or 11 (you don't need both) (3 marks)
14. Symmetry
(a) Shade one shade (1 mark)
(b) Shade one square (1 mark)
15. Revision class
22 students went to chemistry (3 marks)
16. Pie chart
Angles were 50, 115 and 195 degrees (4 marks)
17. Volume of a cuboid
87.75 (2 marks)
18. Formula
(a) F = 17.6 (2 marks)
(b) C = 20 (2 marks)
19. Angle bisector
Construct angle bisector (2 marks)
20. Exchange rate
(a) Euros = 546 (2 marks)
(b) Pounds = 78 (2 marks)
21. Scatter graph
(a) Plot two missing points (1 mark)
(b) The taller the sheep, the longer it is. (1 mark)
(c) Estimate of sheep length = 108 cm (or a number near this) (2 marks)
22. Transformations
(a) Enlarge shape scale factor 2 anywhere on grid (2 marks)
(b) Reflection in the y axis (or you could have said reflection in line x=0) (2 marks)
23. Algebra
(a) 4m (1 mark)
(b) 4pq (1 mark)
(c) 15x - 10 (1 mark)
(d)

(2 marks)
24. Ratio
(a) 3 : 2 (2 marks)
(b) 45 apples (2 marks)
25. Mean from a frequency table
12.975 minutes (13 mins will be fine) (4 marks)
26. Indices
(a)

(1 mark)
(b)

(1 mark)
27. Using a calculator
(a) 2.26541555 (2 marks)
(b) 2(1 significant figure) (1 mark)
28. Semicircle
Perimeter in cm = 20.57 (2 decimal places) (3 marks)