AQA GCSE MATHEMATICS Foundation Tier Paper 3 Calculator

AQA GCSE MATHEMATICS Foundation Tier Paper 3 Calculator F Monday 8 June 2020 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. • 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 3003F01* IB/M/Jun20/E7 8300/3F Answer all questions in the spaces provided. box 1 What is 6.2819 to 2 decimal places? Circle your answer. [1 mark] 6.2 6.28 6.29 6.3 2 50% of a number is 40 Circle the number. [1 mark] 20 80 800 2000 3 Circle the correct statement. [1 mark] 0.07 ⩾ 0.7 0.07 = 0.7 0.07 < 0.7 0.07 > 0.7 4 Shapes A, B, C and D are on a square grid. Which two shapes are congruent? Circle your answer. [1 mark] box A and C B and A C and D D and B Turn over ► 5 Here are three number cards. 5 (a) Use all three cards to make the answer to this calculation a multiple of 10 [1 mark] 5 (b) Use all three cards to make the answer to this calculation a single-digit number. [1 mark] 5 (c) Use all three cards to make this a correct calculation. [1 mark] 6 Greg wants to buy a games console that costs £267.50 He already has £125 He will save £7.50 each week. In how many weeks will he have saved enough? [3 marks] Answer Turn over ► 7 Match the algebra to the correct description. One has been done for you. [2 marks] box Term 4x < 12 Equation 6x = 24 Inequality 5x + 3 Expression 8 A team of two players is picked from these people. box Female Amy (A) Laura (L) Male Erik (E) Rob (R) Tim (T) The team must have one female player and one male player. Complete this list to show all of the possible teams. Female player Male player A E Turn over for the next question [2 marks] *07* Turn over ► 9 500 people started a race. 280 were men and the rest were women. 80% of the men finished the race. 30 women did not finish the race. Complete the frequency tree. [5 marks] *0* 10 Put these three distances in order of size. 1.8 kilometres 1600 metres 1 3 kilometres 4 Start with the shortest. [2 marks] Shortest distance Longest distance 11 AB is a straight line. Work out the size of angle x. Not drawn accurately [2 marks] Turn over ► 12 Some players were asked the shirt colour of their football team. Each answer was either White, Blue, Red or Green. A pie chart is drawn to represent the answers. Two of the sectors are shown. 12 (a) The number who answered Red is three times the number who answered Green. Complete the pie chart. [3 marks] 12 (b) There were 600 players altogether. How many players answered White? [2 marks] Answer 13 Milly has an equal number of 20p coins and 50p coins. The value of her 20p coins is £2.80 Work out the total value of her 20p and 50p coins. [3 marks] Answer £ Turn over ► 14 Here are ticket prices for a theme park. Single tickets Adult £48 Child £26 Special offer tickets 1 adult and 2 children £82 2 adults and 2 children £120 14 (a) Freya buys tickets for 3 adults and 4 children. She pays the cheapest possible total cost. How much does she save compared to buying all single tickets? [4 marks] Answer £ 14 (b) Leroy buys 5 single adult tickets. He uses a voucher that reduces the price of tickets by a quarter. In total, how much does he pay? [3 marks] Answer £ 15 n is negative. Circle the expression that is positive. [1 mark] n – 1 n2 n3 1 n Turn over for the next question Turn over ► 16 Here is a formula. y = 3.6x 16 (a) Draw the graph of y = 3.6x for values of x from 0 to 20 [2 marks] In the formula y = 3.6x y is speed in kilometres per hour (km/h) x is speed in metres per second (m/s) 16 (b) Convert 50 km/h to m/s Give your answer to the nearest whole number. [1 mark] Answer m/s 16 (c) Convert 30 m/s to miles per hour. Use 1 mile per hour = 1.61 km/h [3 marks] Answer miles per hour Turn over for the next question Turn over ► 17 A record was kept of the number of days that 25 students were absent one term. The chart represents the results. 17 (a) Work out the mean number of days absent. [3 marks] Answer 17 (b) One of the students is chosen at random. Work out the probability that the student was absent for less than 4 days. [2 marks] Answer 18 Bobbi has these notes. Note Number of notes £5 3 £10 x The total value of her notes is £T Write a formula for T in terms of x. [2 marks] Answer *17* Turn over ► 19 The side elevation and plan of a cuboid are shown on the centimetre grid. Draw the front elevation of the cuboid on this centimetre grid. [2 marks] *1* 20 To the nearest 1000, there are 18 000 people at a festival. 20 (a) Write down the minimum possible number of people at the festival. [1 mark] Answer 20 (b) Write down the maximum possible number of people at the festival. [1 mark] Answer 21 Circle the equation of the line parallel to y = 5x + 2 [1 mark] y = 2x + 5 y = 5x – 2 y = –5x + 2 y = –2x – 5 Turn over for the next question Turn over ► 22 ABCD represents the plan of a field. There is a path across the field that starts at B is the same distance from BA and BC. Using ruler and compasses, show the position of the path. [2 marks] 23 a is two times b. Circle the ratio a : b [1 mark] 1 : 3 3 : 1 1 : 2 2 : 1 24 Use Pythagoras’ theorem to work out the value of x. box Not drawn accurately [3 marks] Answer cm Turn over for the next question Turn over ► 25 Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The sketch graph represents his visit. Work out the speed, in miles per hour, at which Chris cycles home. [3 marks] Answer mph 26 These two triangles are similar. Not drawn accurately Work out the value of a. [2 marks] Answer cm 27 Circle the expression that is equivalent to (x – 1)2 [1 mark] x2 – 1 x2 + 1 x2 – 2x – 1 x2 – 2x + 1 Turn over for the next question Turn over ► 28 Here is some information about 26 houses. a, b and c are all different numbers. box Number of bedrooms Number of houses 1 7 2 a 3 b 4 c 5 8 The median number of bedrooms is 3.5 Work out a possible set of values for a, b and c. [3 marks] a = b = c = 29 A rectangle has length 60 cm and width 40 cm Not drawn accurately The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10% is 25%’’ Is she correct? You must show calculations to support your answer. [4 marks] Turn over ► 30 Expand and simplify fully 4(2c + 3) – (5c – 1) [2 marks] Answer 31 c =  4  d =  2   9   5      Work out 4c + 3d [2 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 *27* *2* box box box Question number Additional page, if required. Write the question numbers in the left-hand margin. *31* 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, 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. *32* *206g 300/3F*