AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22

AQA A/AS LEVEL GCSE Mathematics Specification (8300/3F) Paper 3 Foundation tier 22 4 Liz buys a car for £7500 She pays a deposit of £1875 She pays the rest in 36 equal monthly payments. Work out the amount of each monthly payment. [3 marks] Answer £ 5 120 men and 80 women were asked if they drive to work. Altogether 1 4 of the people said yes. 1 of the men said yes. 3 What fraction of the women said yes? [4 marks] Answer 6 Boxes A, B, C and D contain balls with numbers on them. Box A Box B Box C Box D 1 2 1 2 2 3 2 3 1 1 2 1 2 2 3 3 3 3 A ball is picked at random from each box. 6 (a) Which box gives the greatest chance of picking a 3? You must show your working. [2 marks] Box 6 (b) Which two boxes give the same chance of picking a 1? [1 mark] Box and Box 7 Zayn records his weekly sales. 300 Sales (£) 250 200 150 100 50 0 Week 1 Week 2 Week 3 Week 4 Every week his costs are £87.50 7 (a) Work out his profit in Week 1 [2 marks] Answer £ 7 (b) His sales in Week 4 were half of his sales in Week 1 Zayn says, “This means that my profit in Week 4 was half of my profit in Week 1” Is he correct? You must show your working. [2 marks] 8 Work out the value of 5x + 9y when x = 7 and y = –2 [2 marks] Answer 9 The points (1, 0) and (1, 4) are the diagonally opposite corners of a square. y 5 4 3 2 1 -5 -4 -3 -2 -1 O -1 1 2 3 4 5 x -2 Work out the coordinates of the other two corners of the square. [2 marks] Answer ( , ) and ( , ) 10 In an experiment, different masses are hung on a spring. The length of the spring is measured for each mass. Mass (g) 10 20 30 40 Length (cm) 20.8 21.6 22.4 23.2 10 (a) Draw a graph to show the length of the spring for masses from 10 g to 40 g [2 marks] 23.5 23.0 22.5 Length (cm) 22.0 21.5 21.0 20.5 20.0 19.5 0 0 5 10 15 20 25 30 35 40 Mass (g) 10 (b) Estimate the length of the spring with no mass hung on it. [1 mark] Answer cm 10 (c) How much longer is the spring with a 35 g mass than with a 15 g mass?