GCSE (9–1) Mathematics J560/06 Paper 6 - Higher Tier

Sep 5, 2026

GCSE (9–1) Mathematics J560/06 Paper 6 (Higher Tier) exam paper covering multiple problem types, including choosing graphs that match described relationships, interpreting a household electricity usage chart and identifying reasons it is misleading, calculating expected outcomes from random tile draws, and solving real-life scale and distance questions on maps. Includes standard instructions on writing clearly, using appropriate tools, showing working for marks, and using calculator conventions (including r = 3.142).

LanguageEnglish

CategoryExam

FormatPDF

Pages20

Reading Time50 min

AccessFree to download

Instructions and information

General instructions

Total marks and marks per question

Questions

Question 1: Matching graphs to relationships

Question 2: Interpreting a misleading electricity usage graph

Question 3: Expected number of letter M tiles

Question 4: Map scale, distance, and speed calculations

Oxford Cambridge and RSA Monday 10 June 2024 – Morning GCSE (9–1) Mathematics J560/06 Paper 6 (Higher Tier) Time allowed: 1 hour 30 minutes You must have: • the Formulae Sheet for Higher Tier (inside this document) You can use: • a scientific or graphical calculator • geometrical instruments • tracing paper H * J 5 6 0 0 6 * | Please write clearly in black ink. Do not write in the barcodes. | | | | | --- | --- | --- | --- | | Centre number | | Candidate number | | | First name(s)
Last name | | | | 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. You can use extra paper if you need to, but you must clearly show your candidate number, the centre number and the question numbers. • 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 20 pages. ADVICE • Read each question carefully before you start your answer. © OCR 2024 [601/4606/0] DC (PQ/CT) 337120/3 OCR is an exempt Charity Turn over 2 1 Below are six graphs, numbered 1 to 6, that show different relationships between x and y. Graph 1 y O x Graph 4 y O x Graph 2 y O x Graph 5 y O x Graph 3 y O x Graph 6 y O x For each description below, write down the number of the graph that best represents the relationship between x and y. x: temperature in °C y: temperature in °F, where y = 1.8x + 32. Graph ............................ x: average speed when running 200 m y: time taken to run 200 m. Graph ............................ x: mass of a solid object made from clay y: volume of the same solid object. Graph ............................ [3] 3 2 The graph shows a household’s average daily electricity usage, in kilowatt hours (kWh) . Average daily electricity usage (kWh) | | | | | | | | | | | | | | | | | | h
| | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 8kWh | | | | | | | | | | | | | 10 kW 2021 2022 Jan 2023 Apr 2023 Jul 2023 Oct 2023 2024 Give two different reasons why this graph is misleading. Reason 1: ......................................................................................................................................... .......................................................................................................................................................... Reason 2: ............................................................................................................................................................................................................................................................................................. [2] 3 The word MATHEMATICS is spelt using tiles. The tiles are put into an empty bag. One at a time, 99 children each take a tile at random from

FAQs

What equipment and writing style are required for this GCSE Mathematics Paper 6?

Use black ink for answers, and an HB pencil only for graphs and diagrams. A scientific or graphical calculator and geometrical instruments are allowed, and tracing paper may be used.

How are marks awarded in this paper?

Marks are shown in brackets for each question. Correct methods may receive marks even if the final answer is wrong, and working should support answers where appropriate.

What is one example of the question types on this paper?

Students must match descriptions to the correct numbered graphs, justify why a graph can be misleading, calculate an expected count from a random process, and solve map scale distance problems.

Sep 5, 2026

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