2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (ST/SG) 351939/3 Turn over
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
,2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
,2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
, 2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
4
5 1 22 3
1 + =1
5 d 4
Find the value of d.
d = .................................................................. [3]
© OCR 2025
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (ST/SG) 351939/3 Turn over
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
,2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
,2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
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
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
, 2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
4
5 1 22 3
1 + =1
5 d 4
Find the value of d.
d = .................................................................. [3]
© OCR 2025
2025 OCR
2025
GCSE
OCR
2025
Mathematics
GCSE
OCRMathematics
GCSEJ56005
Mathematics
J56005
J56005Paper
J56005
J56005
5 (Higher
Paper
J560055Tier)Complete
(Higher
Paper 5Tier)Complete
(Higher
Question
Tier)Complete
Question
paper with
Question
paper
Marking
with
paper
Marking
Scheme
with Marking
Scheme
Combined.docx
Scheme
Combined.docx
Combined.docx
