AQA GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator| 2022 LATEST UPDATE | Questions only

Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signat ure F Thursday 24 May 2018 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 graph paper, tracing paper and more answer paper. These must be tagged securely to this answer book. Advice • In all calculations, show clearly how you work out your answer. *jun1 3001F01* IB/M/Jun18/E6 8300/1F Answer all questions in the spaces provided box 1 Work out 1 × 5 2 Circle your answer. 5 10 2 1 2 1 10 2 1 5 2 Circle the number that is 5 less than –2 [1 mark] [1 mark] –10 –7 –3 3 3 Simplify 3 × a × 3 × a Circle your answer. [1 mark] 9a 6a2 9a2 6a 4 Which shape is similar to shape X? X Circle the correct letter. [1 mark] A B C D Turn over ► 5 Work out 20% of 14 000 [2 marks] Answer 6 (a) Write 0.85 as a fraction in its simplest form. [2 marks] Answer 6 (b) Write 5 as a decimal. 8 [1 mark] Answer 7 A rectangular carpet measures 8 m by 6 m Part of the carpet is covered by a square rug of length 2 m Not drawn accurately Show that 1 of the carpet is covered by the rug. 12 [2 marks] Turn over ► 8 Sam, Carl and Erik share 40 sweets. Erik gets the largest share. What is the smallest possible number of sweets that Erik could get? [2 marks] Answer 9 The time in Rio is three hours behind London. The time in New York is five hours behind London. What is the time in New York when it is 1.00 am in Rio? [2 marks] Answer 10 Here is a list of numbers. 5 6 1 3 5 5 8 4 2 2 10 (a) Work out the median. [2 marks] Answer 10 (b) Work out the mean. [2 marks] Answer Turn over for the next question *07* Turn over ► 11 300 passengers go on a coach trip. Each coach takes 50 passengers. Each passenger pays £25 The table shows the costs for the coach company. Cost for each coach Pay for driver £90 Fuel 70p per mile Each coach travels 200 miles. Work out the total profit the company makes from this trip. [6 marks] box Answer £ *0* Answer box 12 (b) Work out 2843.61 ÷ 7 [2 marks] Answer Turn over for the next question Turn over ► 13 In a game, two fair spinners are spun. Spinner A Spinner B If the numbers the arrows land on are different, the score is the higher number. If the numbers the arrows land on are the same, the score is 0 box 13 (a) Complete the table to show the possible scores. [2 marks] Spinner B Spinner A 13 (b) Write down the probability that the score is an odd number. [1 mark] Answer 13 (c) The same game is played using spinners C and D. The numbers on C are shown. Spinner C Spinner D The table shows some of the possible scores. Spinner D box Spinner C Write the missing numbers on spinner D. [2 marks] Turn over ► 14 2 people working at the same rate will take 6 hours to paint a room. 14 (a) Assuming that they all work at this rate, how long will it take 3 people to paint the room? [2 marks] Answer hours 14 (b) In fact, the third person works at a faster rate. How does this affect the time to paint the room? [1 mark] 15 3a + b = 7 and 6x + 8y = 40 Show that 9a + 3b has a greater value than 3x + 4y [2 marks] Turn over for the next question Turn over ► 16 Circle the point that lies on the line x – 3 = 0 [1 mark] (3, 0) (0, 3) (–3, 0) (0, –3) 17 a is a negative odd number. Circle the words that describe a2 [1 mark] negative and odd negative and even positive and odd positive and even 18 Circle the ratio which is the same as the scale 1 cm represents 1 km [1 mark] 1 : 100 1 : 1000 1 : 10 000 1 : 100 000 19 Circle the percentage that is closest in value to 1 3 [1 mark] 30% 33% 33.3% 33.4% 20 Work out – (13 – 5 × 2)2 [3 marks] Answer Turn over for the next question Turn over ► 21 (a) Reflect the triangle in the line x = 2 [2 marks] 21 (b) Rotate the kite 90° anticlockwise about (0, 0) [2 marks] Turn over for the next question *17* Turn over ► 22 Anna plays a computer game. Each game is a win or a loss. She wins three quarters of her first 24 games. She then wins her next 12 games. For all 36 games, work out the ratio wins : losses Give your answer in its simplest form. [3 marks] Answer : *1* 23 A solid shape is made from centimetre cubes. Here are the plan, side elevation and front elevation of the shape. box Plan Side elevation Front elevation Centimetre cubes are added to make this cuboid. How many cubes are added? [3 marks] Answer Turn over ► box 25 The height of Zak is 1.86 metres. The height of Fred is 1.6 metres. Write the height of Zak as a fraction of the height of Fred. Give your answer in its simplest form. [3 marks] Answer 26 A (0, 2) and B (6, 5) are points on the straight line ABCD. AB = BC = CD Work out the coordinates of D. Not drawn accurately [3 marks] box Answer ( , ) Turn over for the next question Turn over ► 27 A coin is thrown 50 times. It lands on heads 31 times. 27 (a) Write down the relative frequency it lands on heads. [1 mark] Answer 27 (b) Raj says, “The coin is biased towards heads.” Use the data to give a reason why he might be correct. [1 mark] 28 Solve 5(x + 3) < 60 [2 marks] Answer 29 The range of a set of numbers is 15 1 4 The smallest number is –2 7 8 Work out the largest number. [3 marks] Answer 30 y is inversely proportional to x. Complete the table. [2 marks] x 12 6 y 4 8 Turn over for the next question Turn over ► 31 A large rectangle is made by joining three identical small rectangles as shown. Not drawn accurately The perimeter of one small rectangle is 15 cm Work out the perimeter of the large rectangle. [4 marks] Answer cm 32 Put these numbers in order from smallest to largest. 8 × 10–4 4 × 10–2 6 × 10–4 0.07 [2 marks] Smallest Largest 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 *27* 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 will be 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 © 2018 AQA and its licensors. All rights reserved. *2*