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 6 June 2019 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/Jun19/E9 8300/2F Answer all questions in the spaces provided box 1 Circle the number that is one less than a cube number. [1 mark] 20 22 24 26 2 Circle the fraction which is equal to 0.25 [1 mark] 1 40 2 5 3 12 4 100 3 Here is a number line. A 3 4 Which number is at A? Circle your answer. [1 mark] 3.3 3.55 3.6 3.8 4 How many millimetres are equal to 3.27 metres? Circle your answer. [1 mark] box 32.7 327 3270 32 700 5 Which is longer, 3 of a day or 1000 minutes? 4 You must show your working. [3 marks] Answer Turn over ► Answer box 6 (b) Is your answer to part (a) sensible? Check by rounding each of 9.75, 1.875 and 6.4 to the nearest whole number. You must show your working. [3 marks] Tick a box. Sensible Not sensible 7 Complete the bank statement. [3 marks] box Date Description Credit (£) Debit (£) Balance (£) 01/04/2019 Starting balance 05/04/2019 Council tax 189.34 72.09 10/04/2019 Refund 86.75 12/04/2019 Salary 1430.29 Turn over for the next question Turn over ► 8 (a) The interior angle of a regular pentagon is 108° Work out the sum of the five reflex angles at the vertices of a regular pentagon. [3 marks] Not drawn accurately Answer degrees Omar asks Harry, “How many lines of symmetry does a pentagon have?” Harry assumes it is a regular pentagon. His answer is 5. 8 (b) Draw the lines of symmetry on this regular pentagon. [1 mark] 8 (c) Omar then says, “What if the pentagon is not regular?” For a pentagon that is not regular, what is true about the number of lines of symmetry? Tick one box. [1 mark] There must be 0 There could be 0 or 1 There could be 0, 1 or 2 There could be any number up to 5 *07* Turn over ► 9 56 customers pay for satellite television. They all have the Basic package for £24.50 per month. Some also have the Sports package for £27.50 extra per month the Movie package for £18 extra per month. The frequency tree shows the number of customers with each package. *0* In total, how much per month do the 56 customers pay? [4 marks] box Answer £ Turn over for the next question Turn over ► 10 Zoe is thinking of a number. 3 of 90 = 1 of her number 10 2 What number is she thinking of? [3 marks] Answer 11 On a journey, Laura sees 30 vehicles. Each vehicle is a car, a van or a lorry. She draws this bar chart. Make two criticisms of her bar chart. [2 marks] Criticism 1 Criticism 2 Turn over ► 12 A drawing has a scale of 1 : 40 On the drawing, a bedroom is a rectangle measuring 10 cm by 18 cm A kitchen has an actual area of 300 000 cm2 Which has the bigger actual area, the kitchen or the bedroom? You must show your working. [4 marks] Answer 13 Here are two similar shapes, A and B. Not drawn accurately length of edges in A : length of edges in B = 2 : 5 The perimeter of A is 210 mm Work out the perimeter of B. [2 marks] Answer mm Turn over ► 14 There are 135 passengers on a plane. 3 of the passengers in Business Class are flying for the first time. In total, there are 15 passengers in Business Class. 1 of the passengers not in Business Class are flying for the first time. 4 14 (a) In the Venn diagram, ξ = passengers on the plane B = passengers in Business Class F = passengers flying for the first time. Complete the Venn diagram. [4 marks] 14 (b) One of the passengers is chosen at random. Write down the probability that the passenger is in Business Class. [1 mark] Answer 15 A line has the equation y = x + 3 15 (a) Write down the coordinates of the point where the line intersects the y-axis. [1 mark] Answer ( , ) 15 (b) Write down the coordinates of the point where the line intersects the x-axis. [1 mark] Answer ( , ) Turn over ► 16 The graph below is used to convert between temperature in degrees Fahrenheit (F) and temperature in degrees Celsius (C). 16 (a) Use the graph to convert 40 degrees Fahrenheit into degrees Celsius. [1 mark] Answer degrees Celsius At one temperature, T, the number of degrees Celsius is double the number of degrees Fahrenheit. The graph of C = 2F can be drawn to help find this temperature. 16 (b) On the grid opposite, draw the graph of C = 2F for values of F from –25 to 25 You may use the table to help you. box [2 marks] F –25 C –50 16 (c) Use your graph to estimate the value of T. Give your answer in degrees Celsius. [2 marks] Answer degrees Celsius Turn over for the next question *17* Turn over ► 17 In a bag there are 10p coins, 20p coins and 50p coins. There are two fewer 20p coins than 10p coins. There are five more 50p coins than 10p coins. 17 (a) Complete the table. Coin Number of coins 10p n 20p n – 2 50p Answer £ *1* [1 mark] box 18 A force of 180 newtons (N) is applied to the surface of this triangle. Not drawn accurately Work out the pressure. Use pressure = force area [3 marks] Answer N/cm2 Turn over ► 19 In a sport, the number of points is directly proportional to the number of wins. On the axes, sketch a graph to show this relationship. [1 mark] 20 Using ruler and compasses, show the region inside the grid that is less than 4 cm from A and nearer to B than to C. Label the region R. Show all your construction lines. [3 marks] Turn over ► 21 Beth drives 200 miles in 4 hours. She drives the first 18 miles at an average speed of 36 mph Work out her average speed for the rest of the journey. [3 marks] Answer mph 22 The diagram shows rectangle ABDE and right-angled triangle ABC. AC = 17 cm BC = 8 cm Not drawn accurately BC : CD = 1 : 2 Work out the area of rectangle ABDE. [4 marks] Answer cm2 Turn over ► 23 In a sport, injury time is added time played at the end of a match. The table shows the injury time, t (minutes) played in 380 matches. box Injury time, t (minutes) Frequency 0 < t ⩽ 2 59 2 < t ⩽ 4 158 4 < t ⩽ 6 106 6 < t ⩽ 8 45 8 < t ⩽ 10 12 23 (a) Circle the two words that describe the data. [1 mark] continuous discrete grouped ungrouped 23 (b) Which class interval contains the median? You must show your working. [2 marks] 23 (c) What percentage of the matches had more than 6 minutes of injury time? [2 marks] Answer % 24 x is an integer. –4 < x ⩽ 2 and 2 ⩽ x + 3 < 9 Work out all the possible values of x. [3 marks] Answer Turn over ► 25 Joe and Kyle share an amount of money in the ratio 7 : n Joe gets 35% of the money. Work out the value of n. [2 marks] Answer 26 Circle the reciprocal of 4 [1 mark] –4 2 0.4 0.25 27 x : y = 1 : 3 Circle the correct equation. [1 mark] box y = 3x y = x 3 y = x – 2 y = x + 2 28 A linear sequence starts 11 21 31 41 … Work out an expression for the nth term of the sequence. [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 are 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. 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