AQA GCSE Mathematics — Paper 1 (Foundation Tier, Non-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 must answer each question in the space provided. • Do not 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. • The maximum mark for this paper is 80.

Paper

Section A — Short Questions (50 marks)

1. (a) Write the number four thousand and seven in figures. (1 mark) (b) Write 0.6 as a fraction in its simplest form. (1 mark) (c) Write the number 3 706 to the nearest hundred. (1 mark)

2. Work out (a) 47 + 386 (1 mark) (b) 600 − 234 (1 mark) (c) 23 × 14 (2 marks) (d) 252 ÷ 6 (2 marks)

3. (a) Write down the value of the 7 in the number 4 729. (1 mark) (b) Write these numbers in order of size, smallest first. (1 mark) 0.7 0.07 0.77 0.707

4. A bag contains 3 red counters, 5 blue counters and 2 green counters. One counter is taken at random. (a) Write down the probability that the counter is green. (1 mark) (b) Write down the probability that the counter is not red. (1 mark)

5. Work out (a) $\frac{2}{5}$ of 30 (2 marks) (b) $\frac{3}{4} + \frac{1}{8}$ (2 marks)

6. Simplify (a) 5a + 3a − a (1 mark) (b) 4p × 3q (1 mark) (c) c + c + c + d + d (1 mark)

7. (a) Work out 30% of £80. (2 marks) (b) Write 0.45 as a percentage. (1 mark)

8. Here is a sequence of patterns made from squares. [Diagram: Pattern 1 has 4 squares, Pattern 2 has 7 squares, Pattern 3 has 10 squares.] (a) How many squares are in Pattern 4? (1 mark) (b) How many squares are in Pattern 10? (2 marks) (c) Write down an expression, in terms of n, for the number of squares in Pattern n. (2 marks)

9. T = 5n + 2 (a) Work out the value of T when n = 6. (2 marks) (b) Work out the value of n when T = 32. (2 marks)

10. The pictogram shows the number of books read by three pupils. [Pictogram: Amy ●●●● , Ben ●● , Carl ●●●◐ ; key: ● = 4 books] (a) How many books did Amy read? (1 mark) (b) How many books did Carl read? (1 mark) (c) Altogether the three pupils read how many books? (1 mark)

11. Solve (a) x + 9 = 15 (1 mark) (b) 3x = 21 (1 mark) (c) 2x − 5 = 11 (2 marks)

12. A rectangle has length 9 cm and width 4 cm. (a) Work out the perimeter of the rectangle. (2 marks) (b) Work out the area of the rectangle. (2 marks)

13. Write the ratio 12 : 18 in its simplest form. (2 marks)

14. (a) Write 24 as a product of its prime factors. (2 marks) (b) Write down a multiple of 9 that is between 40 and 50. (1 mark)

15. The mean of four numbers is 7. Three of the numbers are 5, 8 and 9. Work out the fourth number. (2 marks)

Section B — Longer Questions (30 marks)

16. Raj buys 3 pens and 2 notebooks. Each pen costs 65p. Each notebook costs £1.20. He pays with a £10 note. How much change should Raj receive? (4 marks)

17. A recipe for 12 buns uses 240 g of flour and 180 g of sugar. Mia wants to make 18 buns. (a) Work out how much flour she needs. (3 marks) (b) Work out how much sugar she needs. (2 marks)

18. Here are the lengths, in cm, of 9 plants. 12, 15, 15, 18, 21, 24, 15, 30, 21 (a) Write down the mode. (1 mark) (b) Work out the median. (2 marks) (c) Work out the range. (1 mark)

19. ABC is a triangle. [Diagram: triangle with angle A = 52°, angle B = 73°, angle C unknown.] (a) Work out the size of angle C. (2 marks) (b) The triangle is isosceles? Tick the correct box and give a reason. (2 marks)

20. A shop reduces the price of a coat by $\frac{1}{4}$ in a sale. The original price was £60. Work out the sale price of the coat. (3 marks)

21. Shade $\frac{3}{8}$ of this shape. (1 mark) [Diagram: a rectangle divided into 8 equal squares.]

22. (a) On the grid, plot the points A(1, 2) and B(5, 4). (1 mark) [Diagram: a coordinate grid from 0 to 6 on both axes.] (b) Write down the coordinates of the midpoint of AB. (2 marks)

23. (a) Work out $\frac{3}{4}$ of 200. (2 marks) (b) Write the ratio 20 : 35 in its simplest form. (2 marks) (c) Write 0.375 as a fraction in its simplest form. (2 marks)