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 Thursday 25 May 2017 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. • 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/Jun17/E5 8300/1F Answer all questions in the spaces provided 1 How many minutes are there in 3 1 hours? 2 Circle your answer. [1 mark] 180.5 210 330 350 2 Work out 1 + 0.5 4 Circle your answer. 0.30 0.6 0.75 0.9 3 Which of these shapes has the most sides? Circle your answer. [1 mark] [1 mark] Hexagon Octagon Rhombus Trapezium 4 Solve x – 3 = 0 Circle your answer. [1 mark] x = –3 x = 0 x = 1 3 x = 3 5 Work out 58 × 73 [3 marks] Answer Turn over ► 6 500 people are asked if they drink coffee. 9 say Yes. 10 20% of the people who say Yes drink at least three cups each day. 6 (a) Complete the frequency tree. [4 marks] 6 (b) What fraction of the 500 people drink at least three cups of coffee each day? Give your answer in its simplest form. [2 marks] Answer 7 By rounding each number to the nearest 10, estimate the answer to 61  47 102 You must show your working. [2 marks] Answer Turn over for the next question Turn over ► 8 Nadia has £5 to buy pencils and rulers. Prices Pencils 8p each Rulers 30p each She says, “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy? [6 marks] Answer pencils, rulers 9 Work out 25.68 ÷ 12 [2 marks] Answer 10 Work out 3 × 11 8 Give your answer as a mixed number. [2 marks] Answer *07* Turn over ► *0* Not drawn accurately Not drawn accurately Work out the perimeter of the pentagon. [4 marks] Answer cm Turn over for the next question Turn over ► 12 A football team has P points. P = 3W + D W is the number of wins D is the number of draws 12 (a) A team has 6 wins and 2 draws. How many points does the team have? [1 mark] Answer 12 (b) After 33 games a different team has 53 points. 11 games were draws. How many games has this team lost? [4 marks] Answer 13 2 + 0 + 1 + 7 = 10 Make the following calculations correct. Use only the symbols +, –, ×, ÷ and ( ) [3 marks] 2 0 1 7 = – 4 2 0 1 7 = 0 2 0 1 7 = 24 Turn over for the next question Turn over ► 14 A number is picked at random from the first four prime numbers. A number is picked at random from the first four square numbers. The two numbers are added to get a score. 14 (a) Complete the table. [4 marks] Square numbers Prime numbers + 1 4 9 2 3 12 7 14 (b) What is the probability that the score is a prime number? [1 mark] Answer 15 In a school show, girls : boys = 1 : 1 girls who sing : girls who do not sing = 1 : 2 8 girls sing in the show. How many students are in the show altogether? [3 marks] Answer Turn over for the next question Turn over ► 16 P and Q are points on the line 3x + 2y = 6 16 (a) Complete the coordinates of P and Q. [2 marks] P ( 0 , ) Q ( , 0 ) 16 (b) Draw the line 3x + 2y = 6 for values of x from –3 to 3 [2 marks] 17 Circle the expression which does not simplify to y3 [1 mark] y × y × y y4 ÷ y y2 × y y6 ÷ y2 18 Write the number six million five thousand two hundred in standard form. [2 marks] Answer Turn over for the next question Turn over ► 19 (a) Use 8 km/h = 5 mph to convert 96 km/h to mph [2 marks] Answer mph 19 (b) x km/h = y mph Use 8 km/h = 5 mph to write a formula for y in terms of x. [2 marks] Answer 20 Here is a circle touching a square. Not drawn accurately The area of the square is 64 cm2 Work out the area of the circle. Give your answer in terms of . [3 marks] Answer cm2 Turn over for the next question *17* Turn over ► 21 Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total charge for these tickets when paying by credit card. [5 marks] Answer £ *1* 22 (a) Density = mass The mass of solid A is 6 times the mass of solid B. The volume of solid A is 3 times the volume of solid B. Complete the sentence. [1 mark] The density of solid A is times the density of solid B. 22 (b) Average speed = distance time If the distance is halved and the time is doubled, what happens to the average speed? Circle your answer. [1 mark]  2  4 no change  2  4 Turn over for the next question Turn over ► 23 A regular polygon has an exterior angle of 20° Work out the number of sides of the polygon. [2 marks] Answer 24 1 : 2 2 = x : 1 3 Circle the value of x. [1 mark] 1 3 3 5 3 4 4 3 25 The table shows information about the times for 10 people to complete a task. Time, t (minutes) Frequency 0 < t ⩽ 20 1 20 < t ⩽ 40 6 40 < t ⩽ 60 3 These statements are about the mean and range of the actual times. Tick the correct box for each statement. [4 marks] True False Turn over ► 26 Write 36 as a product of prime factors. Give your answer in index form. [3 marks] Answer 27 Circle the value of cos 90° 0 1 2 2 [1 mark] 1 28 Solve the simultaneous equations. 2x + y = 18 x  y = 6 [3 marks] Answer END OF QUESTIONS ► 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.