AQA GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator

Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signat ure F Tuesday 21 May 2019 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: • mathematical instruments You must not use a calculator. Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book. Advice In all calculations, show clearly how you work out your answer. *Jun19 3001F01* IB/M/Jun19/E9 8300/1F Answer all questions in the spaces provided box 1 Which type of angle is the largest? Circle your answer. [1 mark] right reflex obtuse acute 2 Solve 4x = 8 Circle your answer. [1 mark] x = 0.5 x = 2 x = 4 x = 32 3 Work out 10 + (–4) Circle your answer. [1 mark] –14 –6 6 14 4 Circle the calculation which works out half of 12 [1 mark] box 12 ÷ 0.5 2 ÷ 12 12 × 1 2 12 ÷ 50 × 100 5 (a) Work out 364.5 + 17.9 – 2.08 [2 marks] Answer 5 (b) Work out 9.36 × 2 [1 mark] Answer Turn over ► 6 Five points are plotted on a centimetre grid. The points are five of the vertices of a hexagon. Each side of the hexagon has the same length. Work out one possible pair of coordinates of the other vertex. [2 marks] Answer ( , ) 7 Amy and Brad each have some money. Carly has no money. Amy gives £7 to Carly. Brad gives £5 to Carly. Now they all have the same amount of money. How much money did Amy have to begin with? [2 marks] Answer £ Turn over for the next question Turn over ► 8 A game is played 50 times. The vertical line chart shows the winning scores. 8 (a) Write down the mode. [1 mark] Answer The game is played again. 8 (b) Use the chart to estimate the probability that the winning score is 25 [1 mark] Answer 8 (c) Use the chart to estimate the probability that the winning score is 27 or more. [2 marks] Answer 9 (a) Write down all the factors of 18 [2 marks] Answer 9 (b) Work out the lowest common multiple (LCM) of 12 and 15 [2 marks] Answer *07* Turn over ► 10 Coaches take people to a festival. Each coach can take 50 people. 10 (a) From one city there are 820 people. How many coaches are needed? [3 marks] Answer *0* 10 (b) From a different city 13 coaches are needed. Each coach costs £450 to hire. Work out the total cost of hiring 13 coaches. [3 marks] Answer £ Turn over for the next question Turn over ► 11 (a) On the grid below, show how you can make a parallelogram with two of these triangles. [1 mark] 11 (b) On the grid below, show how you can make a trapezium with three of these triangles. [1 mark] 11 (c) On the grid below, show how you can make a rhombus with four of these triangles. [1 mark] Turn over ► 12 Work out 65% of 300 [3 marks] Answer 13 In a game the average score was 50 Tom’s score was 5 of the average. 2 Circle Tom’s score. [1 mark] 125 175 30 20 14 Here is a cuboid. Work out the volume. [2 marks] Answer cm3 15 Circle the shape that has a uniform cross section. [1 mark] cone sphere cylinder pyramid Turn over ► 16 (a) Here is a map showing points A and B. Kemal wants to measure the bearing of A from B. He draws two lines and measures the angle between them. Kemal says that the bearing of A from B is 100° Is his method correct? Give a reason for your answer. [1 mark] 16 (b) On a different map, the bearing of D from C is 045° Nina says, “D is North West of C.” Is Nina correct? Give a reason for your answer. [1 mark] 16 (c) This map shows an airport, E, on an island. Scale: 1 cm represents 100 km A plane flies due South from the airport. How far does it fly until it reaches the sea? [3 marks] Turn over ► 17 (a) Simplify fully 56 : 24 [2 marks] Answer : 17 (b) Write the ratio 5 : 4 in the form n : 1 [1 mark] Answer : 17 (c) Share £180 in the ratio 1 : 9 [2 marks] Answer £ and £ 18 Here is some data about the people listening to a radio station one day. Percentage Mean number of hours listening Range of number of hours listening Aged 40 or under 21 1.2 4.5 Aged 41 or over 79 6.3 13.9 Compare the data for people aged 40 or under with the data for people aged 41 or over. Make three comparisons. box [3 marks] Comparison 1 Comparison 2 Comparison 3 Turn over for the next question *17* Turn over ► 19 You are given that 4a – 2b = 10 19 (a) Write down the value of 2a – b [1 mark] Answer 19 (b) Write down the value of 2b – 4a [1 mark] Answer 19 (c) You are given that 4a – 2b = 10 and a + c = 3 Write an expression in a, b and c that is equal to 23 Give your answer in its simplest form. You must show your working. [2 marks] Answer *1* 20 (a) Write 0.000 97 in standard form. [1 mark] Answer 20 (b) 3  105 Work out 4  103 Give your answer as an ordinary number. [2 marks] Answer Turn over for the next question Turn over ► 21 Anna plays a game with an ordinary, fair dice. If she rolls 1 she wins. If she rolls 2 or 3 she loses. If she rolls 4, 5 or 6 she rolls again. When she has to roll again, if she rolls an odd number she wins if she rolls an even number she loses. 21 (a) Complete the tree diagram with the four missing probabilities. [2 marks] 21 (b) Is Anna more likely to win or to lose? You must work out the probability that she wins. [4 marks] Turn over for the next question Turn over ► 22 Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party? [2 marks] Answer 23 Work out the value of (312 ÷ 35) ÷ (32 × 3) [3 marks] Answer 24 (a) a + b = 0 Which of these is equal to b? Circle your answer. [1 mark] 0 1 a a –a 24 (b) c × d = 1 Which of these is equal to d? Circle your answer. [1 mark] 1 1 c c –c Turn over ► 25 A shaded semicircle is inside a circle as shown. Not drawn accurately The radius of the circle is 10 cm The diameter of the semicircle is 8 cm How many times bigger is the unshaded area than the shaded area? [4 marks] Answer 26 The number of items, n, made in 1 hour by a machine is given by n = 60 t t is the time in minutes the machine takes to make one item. The value of t changes for different types of item. 26 (a) On the grid below, draw the graph of n = 60 for values of t from 1 to 4 t [2 marks] 26 (b) The machine takes 3 minutes 30 seconds to make one item. Use your graph to estimate the value of n. [2 marks] Answer Turn over ► 27 Rearrange x = 2y – 6 to make y the subject. [2 marks] Answer 28 Multiply out and simplify (x + 5)(x – 1) [2 marks] Answer END OF QUESTIONS There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED box There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED box Copyright information For confidentiality purposes, from the November 2015 examination series, acknowledgements of third-party copyright material are published in a separate booklet rather than including them on the examination paper or support materials. This booklet is published after each examination series and is available for free download from after the live examination series. Permission to reproduce all copyright material has been applied for. In some cases, efforts to contact copyright-holders may have been unsuccessful and AQA will be happy to rectify any omissions of acknowledgements. If you have any queries please contact the Copyright Team, AQA, Stag Hill House, Guildford, GU2 7XJ. Copyright © 2019 AQA and its licensors. All rights reserved. *2* *196g 300/1F*