OCR Oxford Cambridge and RSA Monday 13 June 2022 — Morning GCSE(9LIFv1 Mathematics J560/03 Paper 3 (Foundation Tier)

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INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided. If you need extra space, use the lined pag... es at the end of this booklet. The question numbers must be clearly shown. • Answer all the questions. • Where appropriate, your answer should be supported with working. Marks might be given for using a correct method, even if your answer is wrong. • Use the r button on your calculator or take r to be 3.142 unless the question says something different. INFORMATION • The total mark for this paper is 100. • The marks for each question are shown in brackets [ ]. • This document has 24 pages. ADVICE • Read each question carefully before you start your answer. *8361921260* *J56003* F Monday 13 June 2022 – Morning GCSE (9–1) Mathematics J560/03 Paper 3 (Foundation Tier) Time allowed: 1 hour 30 minutes You must have: • the Formulae Sheet for Foundation Tier (inside this document) You can use: • a scientific or graphical calculator • geometrical instruments • tracing paper 2 © OCR 2022 Answer all the questions. 1 (a) Write down a factor of 18. (a) .......................................................... [1] (b) Write down a square number between 10 and 20. (b) .......................................................... [1] (c) Write 4 1 as a decimal. (c) .......................................................... [1] (d) Find the two numbers which multiply together to make 40 and add together to make 13. (d) ........................ and ......................... [2] 3 © OCR 2022 Turn over 2 (a) Here is a shape. On the diagram, draw the shape’s two lines of symmetry. [1] (b) Here is another shape. Write down the order of rotation symmetry of the shape. (b) .......................................................... [1] (c) (i) Sketch a quadrilateral that has exactly one line of symmetry. [1] (ii) Write down the mathematical name of your quadrilateral. (c)(ii) .......................................................... [1] 4 © OCR 2022 3 Here are the first four dot patterns in a sequence. Pattern 1 Pattern 2 Pattern 3 Pattern 4 (a) Draw Pattern 5 in the sequence. [1] (b) Without drawing, work out how many dots are in Pattern 8 of the sequence. Explain how you worked out your answer. ................ because ................................................................................................................... .............................................................................................................................................. [2] 5 © OCR 2022 Turn over 4 The diagram shows a circle, centre O, and a line that meets the circle twice. O (a) On the diagram, draw a diameter. [1] (b) Write down the mathematical name of the line shown on the diagram. (b) .......................................................... [1] 5 A student flips a fair coin and rolls a fair four-sided dice. The coin can land on heads (H) or on tails (T). The dice has sides numbered from 5 to 8. (a) Complete this table to show all the possible outcomes. Dice 5 6 7 8 Coin H H7 T [2] (b) Find the probability of getting a tail with an even number. Give your answer as a fraction in its simplest form. (b) .......................................................... [2] 6 © OCR 2022 6 A test has 20 questions. Amaya attempts all of the questions. She gets 65% of the questions correct. Kai gets six of the questions wrong. Who has the smallest number of questions wrong? Show working to support your answer. ................ because ........................................................................................................................... ..................................................................................................................................................... [3] 7 © OCR 2022 Turn over 7 (a) In a recipe, the ratio of the amount of flour needed to the amount of butter needed is 4:1. Rowan mixes 4kg of flour with 1g of butter. Explain what Rowan has done wrong. ................................................................................................................................................... ................................................................................................................................................... .............................................................................................................................................. [1] (b) Azmi gives 10 1 of their earnings to charity and keeps the remainder. For Azmi’s earnings, find the ratio of the amount they give to charity to the amount they keep. Give your answer in its simplest form. (b) .............................:........................... [2] 8 (a) Simplify. 2 3 # a (a) .......................................................... [1] (b) Simplify. x x 4 2 5 (b) .......................................................... [2] 8 © OCR 2022 9 Ling is paid £23.40 per hour for working on a weekday. On a Sunday, Ling is paid at 1 3 1 times this hourly rate. How much does Ling earn for working 8 hours on a Sunday? £ .......................................................... [3] 9 © OCR 2022 Turn over 10 Each edge of a fair spinner is coloured either red or blue. The scale shows the probability of the spinner landing on red and of landing on blue. 0 Red 1 Blue (a) Write down, as a fraction, the probability of the spinner landing on red. (a) .......................................................... [1] (b) Show that the spinner could not have 15 edges. [2] 11 Mr Fox invests £400 in a savings account that pays 3% simple interest per year. Work out the total amount of interest Mr Fox will have earned at the end of the 5th year. £ ........................................................... [2] 10 © OCR 2022 12 Frankie goes on holiday. They change £375 into euros (€) at a rate of £1= €1.15. They spend €217.49 of this money. After the holiday, Frankie changes the remaining euros back into pounds at a rate of £1= €1.28. Work out how many pounds Frankie gets back. £ ........................................................... [4] 11 © OCR 2022 Turn over 13 In a fish tank, the fish are either blue or gold or red. There are 22 red fish. 5 2 of the fish are blue. 12 5 of the fish are gold. Work out the total number of fish in the fish tank. You must show your working. ........................................................... [5] 12 © OCR 2022 14 In a dance competition, four judges award marks to each dancer. Each judge can award 1, 2, 3, 4 or 5 marks. The four judges’ median mark, m, is put into the formula S m = - 10 5 to get the dancer’s score, S. (a) Sam is awarded marks of 4, 3, 1 and 4. Work out Sam’s score. (a) .......................................................... [3] (b) Taylor gets a score of 40. Taylor says The judges must have awarded marks of 4, 4, 5 and 5 because the median is 4.5 and 4.5 1 # 0 5 - = 40. Why is Taylor not correct? Show working to support your reason [Show More]

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