GCSE MATHEMATICS Foundation Tier Paper 2 Calculator

GCSE MATHEMATICS Foundation Tier Paper 2 Calculator Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signat ure F Monday 6 November 2017 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. • 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. *nov17 3002F01* IB/M/Nov17/E10 8300/2F Answer all questions in the spaces provided 1 How many minutes are there in 2 1 hours? 4 Circle your answer. 135 145 215 225 2 Which of these numbers is half of a square number? Circle your answer. 1 2 3 4 3 Circle the value of the digit 3 in the number 17.03 [1 mark] [1 mark] [1 mark] 3 10 1 30 3 100 1 300 4 The value of A is double the value of B. Circle the correct formula. [1 mark] A = B + 2 A = 2B A = B 2 A = B2 5 (a) Simplify y × y [1 mark] Answer 5 (b) Simplify 5a + 2 – a + 9 [2 marks] Answer Turn over for the next question Turn over ► 6 The table shows information about the birds in a garden. Bird Number Robin 2 Sparrow 5 Wren 3 Lark 1 Draw a bar chart to show the information. [3 marks] 7 Eve has these coins. Ola has these coins. Eve gives three of her coins to Ola. Now, Ola has the same amount of money as Eve. Which coins does Eve give to Ola? [3 marks] Answer , , Turn over for the next question Turn over ► 8 A dry cleaning shop has the following offers. Suit Normal price £12.50 1st suit normal price 2nd suit half price Dress Normal price £9.75 Three for the price of two Work out the total price for 2 suits and 6 dresses. [4 marks] Answer £ 9 Karl has twin sisters. The sum of the ages of Karl and his twin sisters is 39 In 4 years’ time the twins will be 18 How old will Karl be in 4 years’ time? [3 marks] Answer Turn over for the next question *07* Turn over ► 10 One of the angles in a triangle is 60° Tick a box for each statement. Must be true Cannot be true Might be true The triangle is equilateral The triangle has at least one other acute angle The triangle is right-angled The other two angles are each less than 60° [4 marks] *0* 11 Which of these numbers has exactly two factors? Circle your answer. 6 7 8 9 12 Work out Circle your answer. [1 mark] [1 mark] 19.5 25.5 331.5 380.25 13 (a) Use your calculator to work out the exact value of 18 953  437 11 [1 mark] Answer 13 (b) Use approximations to 1 significant figure to check if your answer to part (a) is sensible. [3 marks] Turn over ► 14 Chris sells lawnmowers. The table shows the number he sold each quarter for three years. Quarter 1 Quarter 2 Quarter 3 Quarter 4 2016 17 64 50 5 2015 9 72 61 1 2014 19 58 53 2 14 (a) In which year did he sell the most lawnmowers? You must show your working. [2 marks] Answer 14 (b) He uses the table to decide the number of lawnmowers to stock each quarter. At the start of which quarter should Chris stock the most lawnmowers? Circle your answer. [1 mark] Quarter 1 Quarter 2 Quarter 3 Quarter 4 15 In a test, Section A has 80 marks Section B has 120 marks. Riya scores 55% in Section A 70% in Section B. To pass, Riya needs to score 65% of the total marks. Does she pass? You must show your working. [4 marks] Answer Turn over ► 16 A wheel is made of a circular rim and 8 spokes as shown. The length of each spoke is 37 cm Work out the total length of the rim and spokes. Not drawn accurately [3 marks] Answer cm 17 Here is a formula to convert degrees Celsius (°C) to degrees Fahrenheit (°F). F = 1.8C + 32 F is the number of degrees Fahrenheit C is the number of degrees Celsius 17 (a) Show that –40°C = –40°F [2 marks] 17 (b) The temperature is –15°C Nick says, “Because the temperature is negative in Celsius, it must be negative in Fahrenheit.” Is he correct? You must show your working. [1 mark] Answer Turn over ► 18 Here are five cards. 1 5 7 9 11 One of the cards is removed. The mean of the numbers on the remaining four cards is 6 Which card was removed? You must show your working. [3 marks] Answer 19 (a) Divide 120 in the ratio 1 : 4 [2 marks] Answer : 19 (b) Write the ratio 7 : 4 in the form n : 1 [1 mark] Answer : Turn over for the next question Turn over ► 20 In 2015, Han was paid £1350 per month. In 2016, he had a 2% increase in his monthly pay worked 37.5 hours per week worked for 47 weeks. Work out Han’s average pay per hour for 2016 [5 marks] Answer £ 21 An experiment is carried out 200 times. The possible outcomes are K, L and M. 21 (a) Complete the table. [2 marks] Outcome K L M Frequency 84 54 Relative frequency 0.42 21 (b) Altogether, the experiment is carried out 500 times. How many times would you expect the outcome to be K? [2 marks] Answer Turn over for the next question *17* Turn over ► 22 The table shows information about the UK and Germany. Population Area (square miles) UK 95 000 Germany 140 000 Population density = population area Compare the population densities of the UK and Germany. [3 marks] 23 Which one of the following is discrete data? Circle your answer. [1 mark] Mass of a television Time taken to deliver a television Height of a television mast Number of televisions sold *1* 24 Describe fully the single transformation that maps triangle A to triangle B. [3 marks] Turn over for the next question Turn over ► 25 The graph shows information about prisms with the same volume. 25 (a) Give one example to show the volume is 24 cm3 [1 mark] 25 (b) The diagram shows a prism with volume 24 cm3 The height of the triangular cross section is h. Work out the height, h. [3 marks] Answer cm Turn over for the next question Turn over ► Not drawn accurately 26 (a) Jack expects h2 to be three quarters of h1 Work out the value of h2 that he expects. [2 marks] Answer metres 26 (b) In fact, h2 is two thirds of h1 How does this affect the answer to part (a)? Tick a box. The ball bounced higher than he expected The ball bounced lower than he expected Show working to support your answer. [2 marks] Turn over for the next question Turn over ► 27 Solve 4(3x  2) = 2x 5 [3 marks] x = 28 Work out the next term of this quadratic sequence. [2 marks] 5 8 14 23 …… Answer 29 Work out the size of angle x. Not drawn accurately [2 marks] Answer degrees END OF QUESTIONS There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED *27* There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED 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 © 2017 AQA and its licensors. All rights reserved. *2*