AQA GCSE Mathematics — Paper 2 (Foundation Tier, Calculator)

Total marks: 80 · Duration: 90 minutes · Tier: Foundation

Instructions to candidates

• Use black ink or black ball-point pen. Draw diagrams in pencil. • Answer all questions. • You may use a calculator. • In all calculations, show clearly how you work out your answer. • Diagrams are NOT accurately drawn, unless otherwise indicated. • The marks for questions are shown in brackets. • Take π = 3.142 unless told otherwise. • The maximum mark for this paper is 80.

Paper

Section A — Short Questions (50 marks)

1. (a) Work out 18.6 + 7.45 (1 mark) (b) Work out 6.2 × 8 (1 mark) (c) Work out 144 ÷ 9 (1 mark)

2. A car park has 240 spaces. 35% of the spaces are empty. Work out how many spaces are empty. (2 marks)

3. (a) Work out the value of 7² + √81 (2 marks) (b) Work out 2³ × 5 (1 mark)

4. A bag of 6 apples costs £1.50. A bag of 10 of the same apples costs £2.30. Which bag is better value for money? You must show your working. (3 marks)

5. Change (a) 3.5 kilometres into metres (1 mark) (b) 4500 grams into kilograms (1 mark)

6. A train leaves at 09:48 and arrives at 11:25. How long, in minutes, does the journey take? (2 marks)

7. (a) Solve 4x + 3 = 27 (2 marks) (b) Solve $\frac{x}{5}$ = 8 (1 mark)

8. The table shows the favourite sport of 30 pupils.

(a) Work out the size of the angle for Football in a pie chart. (2 marks) (b) What fraction of the pupils chose Tennis? Give your answer in its simplest form. (2 marks)

9. A circle has radius 5 cm. (a) Work out the circumference. Give your answer to 1 decimal place. (2 marks) (b) Work out the area. Give your answer to 1 decimal place. (2 marks)

10. Sam invests £400 in a bank account paying 3% simple interest per year. Work out the interest earned after 2 years. (3 marks)

11. Here are the first four terms of a sequence: 6, 11, 16, 21 (a) Write down the next term. (1 mark) (b) Is 90 a term in this sequence? You must give a reason. (2 marks)

12. A right-angled triangle has the two shorter sides 6 cm and 8 cm. Work out the length of the hypotenuse. (3 marks)

13. Write these in order, smallest first: (2 marks) $\frac{3}{5}$, 0.65, 62%

14. A map has a scale of 1 : 50 000. Two towns are 6 cm apart on the map. Work out the real distance between the towns, in kilometres. (3 marks)

15. (a) Expand 3(2x + 5) (1 mark) (b) Expand and simplify 4(x − 1) + 2(x + 3) (2 marks) (c) Factorise 6x + 9 (1 mark)

16. 8 identical pumps fill a tank in 6 hours. How long would it take 4 pumps to fill the same tank? (3 marks)

Section B — Longer Questions (30 marks)

17. A shop sells T-shirts for £12 each. In a sale, all T-shirts are reduced by 15%. (a) Work out the sale price of one T-shirt. (3 marks) (b) Dan buys 4 T-shirts in the sale. How much does he pay in total? (2 marks)

18. The scatter graph shows the age and value of eight cars. [Diagram: a scatter graph showing a negative correlation between age (x-axis, 0–10 years) and value (y-axis, £0–£8000).] (a) Describe the type of correlation shown. (1 mark) (b) What does this tell you about the value of a car as it gets older? (1 mark) (c) A car is 5 years old. Use a line of best fit to estimate its value. (2 marks)

19. A cuboid measures 8 cm by 5 cm by 3 cm. (a) Work out the volume of the cuboid. (2 marks) (b) Work out the total surface area of the cuboid. (4 marks)

20. There are red, blue and yellow beads in a box in the ratio 2 : 3 : 5. There are 60 beads altogether. (a) Work out how many blue beads there are. (3 marks) (b) One bead is taken at random. Write down the probability it is red. (2 marks)

21. Fiona drives 150 km in 2 hours 30 minutes. Work out her average speed in km/h. (3 marks)

22. Solve the equation 5x − 4 = 2x + 11 (3 marks)

23. (a) A jacket costs £80. In a sale it is reduced by 20%. Work out the sale price. (3 marks) (b) Work out 15% of 240. (2 marks) (c) Write $\frac{7}{20}$ as a percentage. (2 marks)