AQA GCSE MATHEMATICS Foundation Tier Paper 3 Calculator

AQA GCSE MATHEMATICS Foundation Tier Paper 3 Calculator Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signat ure F Tuesday 12 June 2018 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: • a calculator • mathematical instruments. 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. * * IB/M/Jun18/E9 8300/3F Answer all questions in the spaces provided box 1 Circle the value of the digit 7 in 9.17 [1 mark] 1 70 1 7 7 10 7 100 2 Solve 3x = 2 Circle your answer. [1 mark] x = –1 x = 2 3 x = 3 2 x = 6 3 Which of these shapes has no lines of symmetry? Circle the correct letter. [1 mark] A B C D 4 Circle the shortest length. [1 mark] 1200 cm 0.13 km 110 m 140 000 mm 5 (a) Shade 2 of this grid. 5 [1 mark] 5 (b) Shade 10% of this grid. [1 mark] Turn over ► 6 Saj wants to go to all 19 home games at a football club. For each game, a ticket costs £28 A season ticket costs £379 and gives entry to all 19 home games. In total, how much does Saj save by buying a season ticket? [3 marks] Answer £ 7 Link the algebra to the correct description. One has been done for you. [3 marks] Turn over for the next question Turn over ► 8 Jim has six banknotes. The value of each note is £5 or £10 or £20 He can make £20 with three notes. He can make £55 with four notes. He cannot make £25 with three notes. He cannot make £25 with four notes. List the six notes. [2 marks] box £ £ £ £ £ £ 9 A music app has a shuffle play function. This means that songs are played in a random order without repeat. 9 (a) Ruth puts 10 songs on shuffle play. One of them is her favourite song. Write down the probability that her favourite song plays first. [1 mark] Answer 9 (b) Ted puts songs A, B and C on shuffle play. List all the possible orders of songs A, B and C. One has been done for you. [2 marks] A B C Turn over for the next question *07* Turn over ► 10 Here is a scale drawing. The Ferris wheel has a height of 130 m Work out the height of the building. [3 marks] Answer m *0* 11 Jo has a full cup of coffee. She drinks some of it. box She says, “Half of the coffee is still in the cup, because 5 cm is half of 10 cm” Is she correct? Tick a box. Give a reason for your answer. [1 mark] Turn over ► 12 A takeaway sells 10-inch pizzas and 12-inch pizzas. Here is some information about the numbers sold in two weeks. Week 1 10-inch 512 12-inch 231 Total 743 Week 2 12 (a) In each week a proportion of the pizzas sold were 10-inch. In which week was this proportion greater? Show working to support your answer. [2 marks] box Answer 12 (b) The table shows the profit or loss the takeaway makes on each pizza. Normal price Offer price 10-inch £3.74 profit 51p loss 12-inch £5.29 profit 4p loss In week 1 the total profit was £1895.55 At the end of week 1 the takeaway spent £175 on adverts. Was the increase in profit in week 2 more than the cost of the adverts? You must show your working. [4 marks] box Answer Turn over ► 13 A car travels 3.5 miles in 5 minutes. Work out the average speed in miles per hour. [3 marks] Answer mph 14 A triangle has base 9 cm and perpendicular height 5.6 cm Not drawn accurately Work out the area of the triangle. [2 marks] Answer cm2 15 Four positive whole numbers add up to 36 One of the numbers is a multiple of 7 The other three numbers are equal. Work out the result when the four numbers are multiplied. [3 marks] Answer *13* Turn over ► outside the box 16 A sketch of triangle ABC is shown. Not drawn accurately In the space below, complete an accurate drawing of triangle ABC. [2 marks] *14* Turn over for the next question Do not write outside the box Turn over ► Do not write outside the box Do not write outside the box 20 The probability that A is the outcome of an experiment is 0.2 Circle the probability that A is not the outcome. [1 mark] 0 0.2 0.5 0.8 21 Rearrange e = 2f to make f the subject. Circle your answer. [1 mark] f = 2e f = 2 e f = e – 2 f = e 2 Turn over for the next question *17* Turn over ► *1* Do not write outside the box Turn over for the next question Do not write outside the box Turn over ► Do not write outside the box Turn over for the next question Do not write outside the box Turn over ► 25 A and B are similar shapes. B is an enlargement of A with scale factor 1.5 A B Work out the values of x, h and w. Not drawn accurately [3 marks] Do not write outside the box x = degrees h = cm w = cm Turn over for the next question Do not write outside the box Turn over ► 27 (b) Is the point (–5, –6) above, below or on the line y = 3x + 7 ? Tick one box. You must show your working. Do not use a graphical method. [2 marks] Do not write outside the box Turn over for the next question Do not write outside the box Turn over ► Do not write outside the box –4    Do not write outside the box 30 (a) Work out a + b + c [2 marks]   Answer     30 (b) Show that a + 2c = kb, where k is an integer. [2 marks] END OF QUESTIONS *27* There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Do not write outside the 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*