AQA 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 Tuesday 6 November 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. *Nov1 3001F01* IB/M/Nov18/E5 8300/1F Answer all questions in the spaces provided box 1 Work out (–3) + (–8) Circle your answer. [1 mark] –5 5 –11 11 2 What does the longest bar in a bar chart represent? Circle your answer. [1 mark] mean median mode range 3 Work out 1.1 – 0.15 Circle your answer. [1 mark] 0.95 1.05 0.85 1.085 4 On a circle, which of these is always longer than the diameter? Circle your answer. [1 mark] box chord arc radius circumference 5 Work out 83 × 26 [3 marks] Answer Turn over ► 6 The cost of 3 calendars is £18 Work out the cost of 5 calendars. [2 marks] Answer £ 7 A helicopter blade does 3206 full turns in 7 minutes. Work out the number of full turns per minute. [2 marks] Answer 8 At a cinema, films are shown on Screen 1 and Screen 2 Customers pay full price or child price. There are three times as many customers in Screen 2 as Screen 1 68 customers paid child price. Complete the frequency tree. [5 marks] Turn over ► 9 Work out the fraction that is halfway between 1 and 1 1 2 4 0 1 2 [3 marks] Answer 10 x is a positive integer. 35 ÷ x is a positive integer. Work out the four possible values of x. [2 marks] Answer 11 A fair dice has six sides, numbered 1 to 6 After it is rolled, five of the numbers can be seen. 11 (a) Write down the probability that one of these five numbers is 2 [1 mark] Answer 11 (b) Work out the greatest possible sum of the five numbers. [2 marks] Answer Turn over for the next question *07* Turn over ► 12 Work out 2 + 6 7 7 box Circle your answer. [1 mark] 1 1 7 8 14 8 49 1 5 7 13 Work out 4 + 3 × 5 – 1 Circle your answer. [1 mark] 16 18 28 34 14 The nth term of a sequence is 5n – 2 Work out the 3rd term. Circle your answer. [1 mark] 51 5 123 13 *0* 15 Trapezium ABCE is made from parallelogram ABCD and isosceles triangle ADE. AE = DE Not drawn accurately Work out the size of angle AED. [3 marks] Answer degrees 16 a : b = 1 : 6 a : c = 3 : 1 How many times bigger is b than c? [2 marks] Answer Turn over ► 17 (a) Laura wants to work out 3% of 1700 Her method is 1700 × 0.3 Is her method correct? Tick a box. Yes No Give a reason for your answer. [1 mark] 17 (b) Laura also wants to work out 30 of 60 29 Her answer is 58 Is her answer correct? Tick a box. Yes No Give a reason for your answer. [1 mark] 18 Here are five shapes, A to E. box A Parallelogram B Regular pentagon C Rhombus D Scalene triangle E Trapezium In the Venn diagram, ξ is the set of all shapes Q is the set of quadrilaterals R is the set of shapes which always have rotational symmetry. Complete the Venn diagram with the letters A to E. [3 marks] Turn over ► 19 a = 7 and b = 2 Work out the value of a – a b b [3 marks] Answer 20 Solve 3x – 8 = 19 [2 marks] x = 21 Here are five number cards. Two of the five cards are picked at random. Work out the probability that the total of the two numbers is more than 30 [3 marks] Answer Turn over ► 22 (a) Complete the table of values for y = x2 x –2 –1 0 1 2 y 22 (b) Draw the graph of y = x2 for values of x from –2 to 2 [1 mark] [2 marks] box 22 (c) Use your graph to estimate the value of 2.6 [2 marks] Answer Answer box 23 (b) Multiply out n(n + 1) [1 mark] Answer 23 (c) The two numbers are added. Show that the answer must be an odd number. [2 marks] Turn over ► 24 Circle the value of cos 30° [1 mark] box 1 2 3 2 0 1 25 Work out 8 1 ÷ 2 2 2 3 Give your answer as a mixed number. [4 marks] Answer box Answer mph *17* Turn over ► 27 Kim works at an airport in the UK. She records the number of planes landing between 10 am and 2 pm each day. The table shows the data for the first 10 days in January. Day 1 2 3 4 5 6 7 8 9 10 Number of planes 148 151 147 155 153 147 155 102 151 154 Answer box *1* 27 (c) In fact, fewer planes land in winter than in summer fewer planes land at night than during the day. box What does this tell you about Kim’s prediction? Tick one box. Her prediction is too low Her prediction is too high Her prediction could be too low or too high Give a reason for your answer. [2 marks] Turn over for the next question Turn over ► 28 The sum of the angles in any quadrilateral is 360° For example, in a rectangle 4 × 90° = 360° Zak writes, 5 × 90° = 450° so the sum of the angles in any pentagon must be 450° Is he correct? Tick a box. Show working to support your answer. [2 marks] box 29 62  82  3 125a3 Work out the value of a. [4 marks] Answer 30 Work out the percentage increase from 80 to 280 [3 marks] Answer % Turn over for the next question Turn over ► 31 Solve x2 – x – 12 = 0 [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 box 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. 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