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OCR GCSE Mathematics – Paper 6 Higher Tier (2025) Actual Exam Paper & Mark Scheme

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Revise effectively with the official OCR GCSE Mathematics (2025) Paper 6 Higher Tier resource. This merged document provides: - The actual exam paper for Paper 6 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 6 Higher Tier exam.

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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.
• 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.

© OCR 2025 [601/4606/0]
DC (DE/FC) 351958/3
OCR is an exempt Charity
Turn over

, 2
1 A fair four-sided dice is numbered 3, 4, 5 and 6.
The dice is rolled twice and the two scores are multiplied together.

(a) Complete the table to show all the possible outcomes.

First roll

× 3 4 5 6

3 12 15 18
Second
roll 4 12 16 20 24
5 15 20 30
6 18 24 30


(b) Find the probability that the outcome is a multiple of 8.



(b)
.......................................................... [2]

2 Triangle T is drawn on a coordinate grid.
y
6

5

4

3

2

1
T
x
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1

-2

-3

-4

-5

-6

3
Translate triangle T by vector d n-2 .

© OCR 2025

, 3
3 (a) The price of a laptop is reduced in a January sale from £450 to £382.50.

Work out the percentage reduction in the price of the laptop.




(a) ...................................................... % [3]

(b) The graph shows the price of the laptop in the months
before the January sale.


450




Price of
laptop (£)




382.50


Jun Jul Aug Sep Oct Nov Dec Jan

Month

Explain why this graph is misleading.

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



© OCR 2025 Turn over

, 4
.............................................................................................................................................
[1]

4 The diagram shows a prism of length 8 cm.
The cross-section of the prism is a right-angled triangle.

Plan view



5 cm




3 cm 8 cm


4 cm

Draw an accurate plan view of the prism on the one-centimetre grid below.




[2] 5 A teacher asks their class which of the following values is the smallest.

2-1 4-3 10-2

One student says


© OCR 2025
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