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OCR GCSE Mathematics – Paper 5 Higher Tier (2025) Actual Exam Paper & Mark Scheme

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Revise effectively with the official OCR GCSE Mathematics (2025) Paper 5 Higher Tier resource. This merged document provides: - The actual exam paper for Paper 5 Higher Tier - The full mark scheme, integrated for examiner guidance - Convenient DOCX format for annotation, printing, or digital study Perfect for students preparing for OCR GCSE Mathematics Higher Tier assessments, teachers planning lessons, and tutors supporting exam practice. With both the paper and mark scheme combined, you can simulate exam conditions and check answers instantly. Key Topics Typically Covered: - Algebra: equations, inequalities, sequences, and graphs - Geometry: angles, circles, transformations, and constructions - Trigonometry: ratios, identities, and problem solving - Statistics: data handling, probability, and interpretation - Number: fractions, percentages, ratios, and standard form - Examiner commentary and worked solutions This all‑in‑one resource streamlines revision and ensures comprehensive preparation for the OCR Mathematics Paper 5 Higher Tier exam.

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2025/2026
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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 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.




© OCR 2025 [601/4606/0]
DC (ST/SG) 351939/3

, 2
OCR is an exempt Charity
Turn over
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 Triangle A and triangle B are drawn on the coordinate grid.

y




© OCR 2025

, 3

8

7

6
B
5

4

3 A

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.

4xG 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]


© OCR 2025 Turn over

, 4
5 11 + =22 1
5

d
Find the value of d.




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

6 Sara and Tom both make a sequence of numbers. The first term in both sequences
is 10.

The term-to-term rule for Sara’s sequence
is add 14. The term-to-term rule for Tom’s
sequence is add 35.

© OCR 2025
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