2025 OCR GCSE Mathematics J560/05 Higher Tier | Complete Question Paper with Full Marking Scheme & Worked Answers

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2025 OCR GCSE Mathematics J560/05
J560/05 Paper 5 (Higher Tier)
Complete Question paper with Marking Scheme Combined



Oxford Cambridge and RSA


Wednesday 4 June 2025 – 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



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. If you need extra space use the lined
page 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 20 pages.

ADVICE
• Read each question carefully before you start your answer.




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2
1 Work out.

(a) -3.5 × -4




(a) ....................................................................... [1]

(b) 0.1 ' 0.4




(b) ....................................................................... [1]


2 An examination has two parts.
A student scores 10 out of 15 marks on Part 1. They
score 4 out of 10 marks on Part 2.

To pass the examination the student needs to score 54% of the total marks.

Show that the student passes the examination. [3]




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3
3 Triangle A and triangle B are drawn on the coordinate grid.

y
8

7

6
B
5

4

A
3

2

1

0 x
0 1 2 3 4 5 6 7 8

Describe fully the single transformation that maps triangle A onto triangle B.

..........................................................................................................................................................

. .................................................................................................................................................................... [3]


4 (a) Solve.

4x G 20




(a) ....................................................................... [1]

(b) Show your solution to part (a) on the number line.




x
1 2 3 4 5 6 7 8 9
[2]

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4
5 1 22 3
1 + =1
5 d 4
Find the value of d.




d = .................................................................. [3]




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