2025 OCR GCSE Mathematics J560/06 – Paper 6 Higher Tier | Complete Question Paper & Marking Scheme PDF

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2025 OCR GCSE Mathematics J560/06
J560/06 Paper 6 (Higher Tier)
Complete Question paper with Marking Scheme Combined




Wednesday 11 June 2025 – 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
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.
• 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] OCR is an exempt Charity
DC (DE/FC) 351958/3 Turn over




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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
4 12 16 20 24
roll
5 15 20 30
6 18 24 30
[1]
(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]
2
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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.

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

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




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