AQA GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator

F Tuesday 19 May 2020 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. • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). • 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. *Jun20 3001F01* IB/M/Jun20/E8 8300/1F Answer all questions in the spaces provided. box 1 Here are some numbers. Circle the range. [1 mark] 5 11 12 13 2 Circle the value of the digit 5 in 256 934 [1 mark] 5000 500 000 50 50 000 3 Work out –2 – 5 Circle your answer. [1 mark] –7 –3 3 7 4 What is 680 millimetres in centimetres? Circle your answer. box [1 mark] 0.68 cm 6.8 cm 68 cm 6800 cm 5 Work out area of Shape A : area of Shape B Give your answer in its simplest form. [2 marks] Answer : Turn over ► 6 (a) Samir and Dan run a race. Samir finishes in 2 1 minutes. 2 Dan finishes in 130 seconds. Complete the following sentence. [2 marks] wins by seconds. 6 (b) Alice does a sponsored walk. She starts from home on Monday at 8 am She arrives back home 55 hours later. Work out when she arrives back home. [2 marks] Day Time 7 Work out (43 × 8) – (234 ÷ 6) [3 marks] Answer Turn over for the next question Turn over ► 8 Here is some information, by ticket type, about the number of people visiting a cinema one week. 8 (a) How many children visited the cinema? [1 mark] Answer 8 (b) How many more students than adults visited the cinema? [2 marks] Answer 8 (c) A bar chart is drawn to show the number of people visiting the cinema one month. box Ticket type Number of people Adults 1600 Students 3000 Children 1800 Give one criticism of the bar chart. [1 mark] *07* Turn over ► box 10 x is a 2-digit whole number. How many digits does the number 10x have? Circle your answer. [1 mark] cannot tell 2 3 4 *0* 11 (a) Circle the answer to 50 × 0.2 [1 mark] box 1 10 100 1000 11 (b) Work out 3.65 ÷ 5 Give your answer as a decimal. [2 marks] Answer Turn over for the next question Turn over ► 12 The Venn diagram shows information about 50 people who are in bands. S = singers G = guitar players 12 (a) How many of the people are guitar players? [1 mark] Answer 12 (b) How many of the people are singers but not guitar players? [1 mark] Answer 12 (c) One of the people is chosen at random. Write down the probability that the person is not a singer and not a guitar player. [1 mark] Answer 13 Here is a parallelogram. The parallelogram is translated 4 squares to the left and 3 squares up. Draw the translated parallelogram. [2 marks] Turn over ► 14 (a) Solve 6x – 11 = 13 [2 marks] x = 14 (b) Simplify fully (2 × 4a) + 9 + 15a – 7 3 [3 marks] Answer 15 A pyramid has a square base. Each of the four sloping edges has length 10 cm The total length of all eight edges is 68 cm Work out the area of the square base. [4 marks] Answer cm2 Turn over ► 16 The table shows information about how 150 students travel to school. box Walk Bus Car Girls 22 33 17 Total = 72 Boys 24 41 13 Total = 78 16 (a) What fraction of the girls walk to school? Give your answer in its simplest form. [2 marks] Answer 16 (b) One of the boys is chosen at random. What is the probability that the boy travels to school by bus? [1 mark] Answer 16 (c) What percentage of the 150 students travel to school by car? [2 marks] Answer % 17 A straight line passes through O and (2, 6) Circle the equation of the line. [1 mark] y = x + 4 y = 6 y = 3x y = 1 x 3 Turn over ► 18 (a) Work out 110% of 80 [2 marks] Answer 18 (b) Work out 21 as a fraction of 12 Circle your answer. [1 mark] 7 4 4 7 3 4 4 3 19 Bags X and Y each contain counters. Bag X 30 counters Each counter is green, white or yellow Bag Y 5 counters 3 green and 2 red 19 (a) P(green counter from X) = P(red counter from Y) Work out the number of green counters in X. [2 marks] Answer 19 (b) All 35 counters are put into one bag. One counter is picked at random. Work out the probability that the counter is not red. [2 marks] Answer *17* Turn over ► 20 A and B are scatter graphs. Graph A Graph B What type of correlation is shown by each graph? Choose from Weak positive Strong positive Weak negative Strong negative No correlation [2 marks] Graph A Graph B *1* 21 (a) All the terms of a geometric progression are positive. The second and fourth terms are shown. ………. 4 ………. 16 Work out the first and third terms. [2 marks] First term Third term 21 (b) The first two terms of an arithmetic progression are shown. p 5p ….. The sum of the first three terms is 90 Work out the value of p. [3 marks] Answer Turn over ► 22 This formula converts temperature in degrees Fahrenheit (F) to kelvin (K) K = 5 (F – 32) + 273 9 A pottery oven is heated to 2192 degrees Fahrenheit. Work out this temperature in kelvin. [3 marks] Answer kelvin 23 As a decimal 11 = 0.275 40 Work out 33 as a decimal. 400 [2 marks] Answer 24 The cost of a holiday is £2400 Rana pays a deposit followed by monthly payments, in the ratio deposit : total of the monthly payments = 3 : 5 She makes 6 equal monthly payments. Work out her monthly payment. [4 marks] Answer £ 25 Factorise fully 2x2 + 6x [2 marks] Answer Turn over ► 26 Two wire shapes make an earring. The shapes are a circle with radius 21 mm and a quarter circle. Not drawn accurately radius of circle : radius of quarter circle = 7 : 2 26 (a) Show that the radius of the quarter circle is 6 mm [1 mark] 26 (b) Work out the total length of the wire in the earring. Give your answer in the form aπ + b where a and b are integers. [4 marks] Answer mm Turn over for the next question Turn over ► 27 Use trigonometry to work out the size of angle x. Not drawn accurately [2 marks] Answer degrees 28 Rearrange c = d  2 to make d the subject. 3 [2 marks] Answer 29 (a) Write 360 000 in standard form. [1 mark] Answer 29 (b) Write 9.2 × 10 –3 as an ordinary number. [1 mark] Answer END OF QUESTIONS There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED box Question number Additional page, if required. Write the question numbers in the left-hand margin. *27* Question number Additional page, if required. Write the question numbers in the left-hand margin. Copyright information For confidentiality purposes, all acknowledgements of third-party copyright material are published in a separate booklet. This booklet is published after each live examination series and is available for free download from . 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. Copyright © 2020 AQA and its licensors. All rights reserved. *2* *206G 300/1F*