OCR Oxford Cambridge and RSA Friday 20 May 2022 - Morning GCSE(921) Mathematics J560/01 Paper 1 (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. Friday 20 May 2022 – Morning GCSE (9–1) Mathematics J560/01 Paper 1 (Foundation Tier) Time allowed: 1 hour 30 minutes © OCR 2022 [601/4606/0] DC (LK/SW) 300048/6 *J56001* You must have: • the Formulae Sheet for Foundation Tier (inside this document) You can use: • a scientific or graphical calculator • geometrical instruments • tracing paper F *8361439112* 2 © OCR 2022 Answer all the questions. 1 (a) Write down the mathematical name of this polygon. (a) ........................................................... [1] (b) How many edges does a cube have? (b) ........................................................... [1] 2 Here is a list of numbers. 6 9 2 12 3 8 3 (a) Write down the mode. (a) ........................................................... [1] (b) Work out the range. (b) ........................................................... [2] 3 © OCR 2022 Turn over 3 The diagram shows a pair of parallel lines. 110° Not to scale b° a° (a) Write down the value of a. (a) a = ..................................................... [1] (b) Write down the value of b. (b) b = ..................................................... [1] 4 Jamie has some empty boxes. Each box can hold 73 pencils. Jamie has 590 pencils. Jamie says that eight boxes are needed to hold all of the pencils. Is Jamie correct? You must show your working. ....................................... because .................................................................................................... ..................................................................................................................................................... [2] 4 © OCR 2022 5 This graph shows the number of mobile phones sold by a shop in June, July and August. 5 June July Month Number of mobile phones sold August 10 15 20 30 40 50 60 70 80 90 Give two reasons why the graph is misleading. 1 ....................................................................................................................................................... .......................................................................................................................................................... 2 ....................................................................................................................................................... ..................................................................................................................................................... [2] 5 © OCR 2022 Turn over 6 Ashley has these three number tiles. 2 3 8 (a) Which one of Ashley’s tiles shows a cube number? Write the number on the blank tile on the answer line. (a) ........................................................... [1] (b) Write down a two-digit prime number that can be made using two of Ashley’s tiles. (b) ........................................................... [1] (c) Write down the three-digit number closest to 300 that can be made using all three of Ashley’s tiles. (c) ........................................................... [1] 6 © OCR 2022 7 (a) Simplify. ttt + - 5 4 (a) ........................................................... [1] (b) Factorise. x x2 2 + (b) ........................................................... [1] 8 Write the following in order of size, smallest first. 52.9% 1000 530 17 9 0.5209 .................. , .................. , .................. , ..................[2] smallest 7 © OCR 2022 Turn over 9 A pattern is made out of blue tiles and yellow tiles. 3 1 of the tiles are blue. There are 36 yellow tiles. Work out the total number of tiles. ........................................................... [3] 10 Work out, using your calculator. 17.5 60 2 2 + ........................................................... [2] 8 © OCR 2022 11 120 new homes are built in a village. Each home is either a house or a flat. Each home either has a garage or does not have a garage. 64 of the houses have a garage and 26 of the flats have a garage. This frequency tree shows the above information. 120 Yes 64 House Home Garage Flat No Yes 26 No (a) 8 5 of the homes are houses. Complete the frequency tree. [4] (b) Show that 75% of the homes have a garage. ................................................................................................................................................... ................................................................................................................................................... [2] 9 © OCR 2022 Turn over 12 The diagram shows Kai’s garden. The garden is a rectangle, 16m by 10m. It has a lawn and a flowerbed. The flowerbed is a circle of diameter 6m. Lawn 10 m 16 m 6 m Flowerbed Not to scale Work out the area of Kai’s lawn. ..................................................... m2 [4] 10 © OCR 2022 13 Here are the ticket prices for a zoo when bought at the gate. Adult £22 Child £18 Family ticket (2 adults and £80 up to 4 children) (a) Mr and Mrs Khan take their four children to the zoo. They buy their tickets at the gate. How much do Mr and Mrs Khan save by buying a family ticket? (a) £ ........................................................ [4] (b) All ticket prices are reduced by 15% if bought online rather than at the gate. Mr and Mrs Morris take their one child to the same zoo. They buy their tickets online. What is the lowest possible total cost of their tickets? (b) £ ........................................................ [4] 11 © OCR 2022 Turn over 14 Here is a rule to work out the time, in minutes, needed to cook a turkey. × 20 + 90 time in minutes weight in kilograms (a) Ling’s turkey takes 150 minutes to cook. Use the rule to work out the weight of Ling’s turkey. (a) ...................................................... kg [2] (b) James cooks a different turkey. His turkey weighs 6kg. James wants to take his turkey out of the oven at 1:15pm. Use the rule to work out at what time James should put his turkey in the oven. You must show your working. (b) ........................................................... [5] 12 © OCR 2022 15 Vector a is drawn on this grid. a (a) Write vector a as a column vector. f p (a) ........................................................... [2] (b) On the grid above, draw the vector – a. [1] 13 © OCR 2022 Turn over 16 Alex and Blake share some money in the ratio 2 : 5. Blake receives £150 more than Alex. How much money does Alex receive? £ ........................................................ [3] 17 Solve 2 5 x + H 11. Show your solution on the number line. 1 2 3 4 5 6 7 x 8 9 [4] 14 © OCR 2022 18 (a) Write 6050000 in standard form. (a) ........................................................... [1] (b) Write 4 5. 8 10 3 # - as an ordinary number. (b) ........................................................... [1] 19 A coat is on sale in a shop at a special price of £149.40. The shop says this is a saving of 17% on their normal price. Work out the shop’s normal price for the coat. £ ........................................................ [3] 15 © OCR 2022 Turn over 20 This list represents four numbers. 127 x x + 1 2x The mean of the four numbers is 180. Work out the numbers. You must show your working. [Show More]

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