OCR Oxford Cambridge and RSA Tuesday 7 June 2022 GCSE (9—1) Mathematics J560/05 Paper 5 (Higher Tier) — Morning

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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. 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. Tuesday 7 June 2022 – Morning GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Time allowed: 1 hour 30 minutes You must have: • the Formulae Sheet for Higher Tier (inside this document) You can use: • geometrical instruments • tracing paper Do not use: • a calculator Oxford Cambridge and RSA OCR is an exempt Charity Turn over 2 © OCR 2022 Answer all the questions. 1 Two pupils are given data that shows the estimated number of computer tablet users worldwide from 2014 to 2018. (a) Li creates this pie chart to show the data. 2014 2015 2016 2017 2018 Number of computer tablet users (billions) Write down two reasons why Li’s pie chart is not suitable to represent the data. 1 ................................................................................................................................................ ................................................................................................................................................... 2 ................................................................................................................................................ ................................................................................................................................................... [2] 3 © OCR 2022 Turn over (b) Amaya creates this line graph to show the same data. Number of computer tablet users (billions) 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 2014 2015 2016 Year 2017 2018 Work out the percentage increase in the number of computer tablet users from 2014 to 2018. (b) ..................................................... % [4] 4 © OCR 2022 2 The scale diagram below shows the position of two castles, J and K. North K North J Scale: 1 cm represents 2 km The bearing of a tower from castle J is 072°. The bearing of the tower from castle K is 116°. Use construction to find the distance from castle J to the tower. Give your answer to the nearest 0.1 km. .................................................... km [4] 5 © OCR 2022 Turn over 3 Dinosaurs first appeared on Earth 2 4. 108 # years ago. Dinosaurs became extinct on Earth 7 107 # years ago. (a) Explain why it is appropriate to use standard form for these numbers. ................................................................................................................................................... ................................................................................................................................................... ............................................................................................................................................. [1] (b) Use the given information to work out how long dinosaurs existed on Earth. Give your answer in standard form. (b) .......................................................... [3] 6 © OCR 2022 4 (a) Complete this statement by writing the missing power in the box. 784 = 2 # 72 [1] (b) Use your answer to part (a) to find the value of 784. (b) .......................................................... [2] 7 © OCR 2022 Turn over 5 Recipes measure small quantities in teaspoons and tablespoons. 3 teaspoons is equivalent to 1 tablespoon. A cake recipe uses 4 3 of a teaspoon of salt and 1 tablespoon of baking powder. The ratio of salt to baking powder used in the recipe can [Show More]

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