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 Monday 12 November 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/Nov18/E4 8300/3F Answer all questions in the spaces provided box 1 Add 8 mm to 7 cm Circle your answer. [1 mark] 150 mm 1.5 cm 7.8 cm 708 mm 2 In a pie chart, one sector represents What is the angle of that sector? Circle your answer. 1 of the data. 4 3 Which of these cannot be the number of lines of symmetry of a triangle? Circle your answer. [1 mark] [1 mark] 0 1 2 3 4 Circle the fraction equal to 0.12 1 12 3 25 1 8 6 5 n = [1 mark] box 5 (b) Solve m = 12 6 [1 mark] m = Turn over for the next question Turn over ► outside the box Scale: 1 cm represents 2 feet Turn over ► outside the box Answer box 8 Beth sells hot dogs at a market. Each hot dog is a sausage in a bread roll. The table shows her costs. Fee paid to market £240 Bread rolls 42p per pack of 6 Sausages £2.50 per jar of 10 Other costs £57 Beth sells the hot dogs for £3 each. She sells 300 hot dogs. Work out her total profit. [5 marks] box *07* Turn over ► 9 A company sells houses. The line graph shows the number sold per week for 30 weeks. 9 (a) Work out the range of the number of houses sold per week. [2 marks] Answer 9 (b) Work out the median number of houses sold per week. [2 marks] Answer *0* 9 (c) The company sells three houses. The prices are £185 000, £239 000 and £136 000 The company earns 2% commission on each house. In total, how much commission does the company earn on these three houses? [3 marks] Answer £ Turn over for the next question Turn over ► 10 (a) Chloe spins the spinner. Write down the probability that she gets ‘Miss a turn’. [1 mark] Answer 10 (b) The spinner lands on ‘Go back 1 square’ three times in a row. Jamal is next to spin. Write down the probability that he gets ‘Go back 1 square’. [1 mark] Answer 10 (c) In one game there are 85 spins. How many of these spins are expected to be ‘Go forward 2 squares’? [2 marks] Answer 11 Circle the cube number. [1 mark] 9 10 000 333 729 12 How many minutes is 225 seconds? Circle your answer. [1 mark] 2 5 12 2 1 4 3 1 4 3 3 4 Turn over ► 13 A small square has length x cm A large square has length 15 cm Not drawn accurately The area of the small square is 1 of the area of the large square. 9 Work out the value of x. [3 marks] Answer 14 (a) The term-to-term rule of a sequence is Add 8 and divide by 2 The first term of the sequence is –24 Work out the next two terms. [2 marks] Answer and 14 (b) The term-to-term rule of a different sequence is Subtract 1 and multiply by 5 The third term of this sequence is 120 …….. …….. 120 Work out the first term. [2 marks] Answer Turn over ► 15 Describe fully the single transformation that maps shape A to shape B. [3 marks] 16 Amal drives her car for work. She claims 40p per mile from her employer. Amal’s car travels 52 miles for each gallon of petrol. She pays £5.36 per gallon for petrol. On one journey Amal drives 260 miles. For this journey, how much more does she claim than she pays for petrol? [4 marks] Answer £ Turn over for the next question Turn over ► 17 Here is a map of Cuba. 1.5 cm represents 200 km Work out the actual distance from Havana to Holguin. [3 marks] Answer km 18 Four friends all give each other presents. The total cost of the presents is £83.40 Work out the mean cost of a present. [3 marks] Answer £ Turn over for the next question *17* Turn over ► 19 A forest has 6500 trees. The trees are beech or maple. number of beech : number of maple = 1.6 : 1 19 (a) What fraction of the trees are beech? [2 marks] Answer 19 (b) Write number of beech : number of maple in the form 1 : n [1 mark] Answer : *1* 20 A shape is translated by the vector  0  outside the box  4 In which direction does the shape move? Circle your answer. [1 mark] up down left right 21 The length of a table is 110 cm to the nearest cm Complete the error interval. [2 marks] cm ⩽ length < cm Turn over for the next question Turn over ► 22 k = n2 + 9n + 1 Mo says, “k will be a prime number for all integer values of n from 1 to 9” Show that Mo is wrong. You must show that your value of k is not prime. [3 marks] 23 At a café, 2 teas and 1 coffee cost £3.40 1 tea and 4 coffees cost £7.30 Work out the cost of 1 tea and the cost of 1 coffee. [4 marks] Tea Coffee Turn over for the next question Turn over ► 24 A music festival has taken place each year from 2011 The table shows the number of people who attended each year. box Year 2011 2012 2013 2014 2015 2016 2017 2018 Number of people 350 583 906 1471 2023 2612 3251 3780 The festival organisers draw a time series graph to represent the data. The first four years have been plotted. 24 (a) Complete the graph. [2 marks] 24 (b) Use the graph to estimate the number of people who will attend the festival in 2019 [2 marks] Answer Turn over for the next question Turn over ► 25 Doug owes an amount of £600 He wants to pay back this amount in five months. He says, “Each month, I will pay back 20% of the amount I still owe.” Show working to check if his method is correct. [3 marks] 26 Here is a quadratic graph. Circle the x-coordinate of the turning point of the graph. –4 –1 1 3 Turn over for the next question [1 mark] box Turn over ► 27 A motor racing circuit consists of two parallel straight sections, each of length 0.75 km a semicircle of diameter 0.9 km three equal, smaller semicircles. Not drawn accurately The length of a motor race must be greater than 305 km What is the lowest number of full laps needed at this circuit? You must show your working. [5 marks] Answer 28 Solve 8 > 3 – 1 x 2 [2 marks] Answer 29 Use trigonometry to work out the size of angle x. [2 marks] Not drawn accurately Answer degrees END OF QUESTIONS *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*