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
H
You must have:
* 1 8 6 3 4 5 0 1 7 8 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
* J 5 6 0 0 5 *
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.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (ST/SG) 351939/3 Turn over
for more: tyrionpapers.com
, 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]
© OCR 2025
for more: tyrionpapers.com
, 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]
© OCR 2025 Turn over
for more: tyrionpapers.com
Wednesday 4 June 2025 – Morning
GCSE (9–1) Mathematics
J560/05 Paper 5 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 8 6 3 4 5 0 1 7 8 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• geometrical instruments
• tracing paper
Do not use:
• a calculator
* J 5 6 0 0 5 *
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.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (ST/SG) 351939/3 Turn over
for more: tyrionpapers.com
, 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]
© OCR 2025
for more: tyrionpapers.com
, 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]
© OCR 2025 Turn over
for more: tyrionpapers.com
