AQA GCSE MATHEMATICS Foundation Tier Paper 2 Calculator

AQA GCSE MATHEMATICS Foundation Tier Paper 2 Calculator Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signat ure F Thursday 8 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/E5 8300/2F Answer all questions in the spaces provided box 1 Here is a rectangle. Work out the perimeter. Circle your answer. Not drawn accurately [1 mark] 12 cm 24 cm 35 cm 70 cm 2 Circle the number greater than –0.9 [1 mark] –0.901 –0.89 –0.91 – 9 10 3 Simplify 8x – 3 + 6x Circle your answer. 2x – 3 11x 5 + 6x 14x – 3 4 What is the angle of turn clockwise from South West to East? Circle your answer. 45° 135° 225° 315° Turn over for the next question [1 mark] [1 mark] box Turn over ► box Answer £ 6 (a) Complete the bank statement. [3 marks] box Date Description Credit (£) Debit (£) Balance (£) 01/09/18 Starting balance 1140.79 06/09/18 Car repairs 256.00 17/09/18 Gas bill 87.31 24/09/18 Salary 2069.75 6 (b) Write down the meaning of ‘Debit’ as used in the bank statement. [1 mark] Turn over for the next question Turn over ► 7 Line AB is shown on the grid. A is the point (0, 2) B is the point (6, 5) B 7 (a) A Work out the coordinates of the midpoint of the line AB. [1 mark] Answer ( , ) 7 (b) C is another point on AB. C is closer to B than to A. The coordinates of C are whole numbers. Work out the coordinates of C. [1 mark] Answer ( , ) 7 (c) On the grid, draw a line from point (0, 0) that is parallel to AB and two thirds as long as AB. [2 marks] Turn over for the next question *07* Turn over ► 8 8 (a) Lena is at the gym. She will use each of these pieces of equipment once. Rowing machine (R) Stepper (S) Treadmill (T) Bike (B) Lena will use the rowing machine first. List all the possible orders in which she could use the four pieces of equipment. [2 marks] *0* 8 (b) The table shows how long Lena spends on each piece of equipment. box Rowing machine 15 minutes Stepper 13 minutes Treadmill 35 minutes Bike 1 hour 30 minutes Lena starts on the rowing machine at 1.50 pm She has a break for 4 minutes between pieces of equipment. What time does she finish on her last piece of equipment? [3 marks] Answer Turn over ► 9 The table shows the number of messages Sam received each day for five days. box Messages Number of emails Number of texts Monday 12 5 Tuesday 8 6 Wednesday 10 3 Thursday 6 6 Friday 12 4 9 (a) Sam draws a composite bar chart to represent the data. He has drawn the bar for Monday. Complete the chart. [2 marks] box 10 Each side of a square is made 3 times as long. What happens to the perimeter? Circle your answer. [1 mark] × 3 × 6 × 9 × 12 Turn over for the next question Turn over ► 11 Here is a list of ingredients needed to make 6 pancakes. Flour 120 grams Eggs 2 Milk 210 millilitres 11 (a) Complete the list of ingredients needed to make 9 pancakes. [3 marks] box Flour Eggs Milk 11 (b) Convert 210 millilitres to fluid ounces. Use 1 fluid ounce = 28.4 millilitres Give your answer to 1 decimal place. [2 marks] Answer fluid ounces Turn over for the next question box Turn over ► 13 A charity sends an appeal letter to 3000 people. The letter asks for a donation of money. Here is some information about the last appeal letter the charity sent out. box 1 of the people who were sent the letter made a donation. 2 The average donation was £8.60 1 of the people who made a donation filled in a tax form. 3 The government adds 25% to the donations of these people. 13 (a) Using this information, work out the amount the charity can expect to receive from this appeal. [6 marks] Answer £ 13 (b) The average donation from the people who filled in a tax form was more than £8.60 How does this affect your answer to part (a)? Tick one box. box It should be lower It should be higher It should stay the same Give a reason. [1 mark] Turn over for the next question Turn over ► 14 Lee wants to draw the graph of y = x for values of x from –5 to 5 Here is his graph. Make two different criticisms of his graph. [2 marks] Criticism 1 Criticism 2 15 A company uses this formula to work out the cost, £A, of a taxi ride. A = 4 + 1.8m + b £4 is a fixed charge m is the number of miles travelled £b is a charge for booking online 15 (a) Clare books a taxi online and travels 8 miles. She pays £20 altogether. How much is the charge for booking online? [3 marks] Answer £ 15 (b) A different company has a fixed charge of £3 charges £1.90 per mile has no charge for booking online. Write a formula for the cost, £C, of a taxi ride with this company. [1 mark] Answer *17* Turn over ► 16 What does (A ∩ B) represent in P(A ∩ B) ? Circle your answer. [1 mark] A or B or both A but not B not A and not B A and B 17 A circle has circumference C and diameter d. C = kd What value does the constant k represent? [1 mark] Answer *1* 18 There are 240 cows on a farm. 18 (a) On the farm, number of bulls : number of cows = 1 : 30 How many bulls are there? [1 mark] Answer 18 (b) Assume the 240 cows produce milk for 10 months each year each cow produces an average of 25 litres of milk per day. Estimate the total milk production, in litres, of the 240 cows in one year. You must show your working. [4 marks] Answer litres Turn over ► 19 Here is a right-angled triangle. Not drawn accurately Show that x = 12 [2 marks] 20 Work out the values of a and b in the identity 5(7x + 8) + 3(2x + b)  ax + 13 [4 marks] a = b = 21 The first four terms of a linear sequence are 7 11 15 19 Circle the expression for the nth term. [1 mark] n + 6 4n + 3 7n + 4 n + 4 Turn over ► 22 Here is some information about 20 trains leaving a station. box Number of minutes late, t Number of trains Midpoint 0 ⩽ t < 5 12 5 ⩽ t < 10 7 10 ⩽ t < 15 1 t ⩾ 15 0 22 (a) Work out an estimate of the mean number of minutes late. [3 marks] Answer minutes 22 (b) The station manager looks at the information in more detail. box Number of minutes late, t Number of trains 0 ⩽ t < 2 12 2 ⩽ t < 4 0 4 ⩽ t < 6 7 6 ⩽ t < 8 0 8 ⩽ t < 10 0 10 ⩽ t < 12 1 He works out an estimate of the mean using this information. How does his estimate compare with the answer to part (a)? Tick one box. [1 mark] Higher than part (a) Same as part (a) Lower than part (a) Not possible to tell Turn over ► 23 Two identical quarter circles are cut from a rectangle as shown. Not drawn accurately Work out the shaded area. [4 marks] Answer cm2 24 The diagrams show the position of a tap when off and fully on. The tap is fully on when the angle of turn is 180° When fully on, water flows out of the tap at 14 litres per minute. The rate at which water flows out is in direct proportion to the angle of turn. The tap is turned 135° The water flows into a tank with a capacity of 79.8 litres. Will it take less than 7 1 minutes to fill the tank? 2 You must show your working. [4 marks] Turn over ► 25 This triangle is equilateral. Not drawn accurately Is the perimeter of the triangle greater than one metre? You must show your working. [5 marks] 26 An approximation for the value of π is given by 4 1  22  22  22  22  22   57 85 105 117 242    Use your calculator to show that this approximation is within 0.1 of 3.14 [2 marks] 27 Work out 9.12  1010 3.2  104 Give your answer in standard form. [2 marks] Answer 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*