Use pastpapers like this to help you revise
Understand exam format and structure
Past papers show the types of questions, mark allocations, and time limits,
helping students know what to expect in the real exam.
Identify frequently tested topics
By reviewing several past papers, students can spot patterns and common
themes that appear regularly.
Practice time management
Completing past papers under timed conditions helps students learn how
to pace themselves during the exam.
Improve exam technique
Students learn how to interpret command words (e.g. explain, compare,
evaluate) and structure answers effectively.
Assess strengths and weaknesses
Marking answers using mark schemes highlights areas that need more
revision.
Build confidence
Familiarity with exam-style questions reduces anxiety and increases
confidence going into the exam.
Improve accuracy and clarity
Repeated practice helps students write clearer, more precise answers and
avoid common mistakes.
Track progress over time
Comparing results from different past papers shows improvement and
helps students adjust revision strategies.
TYRIONPAPERS.COM
, Oxford Cambridge and RSA
Thursday 15 May 2025 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 8 6 3 4 3 3 1 6 9 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
* J 5 6 0 0 4 *
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. You can use extra paper if
you need to, but you must clearly show your candidate number, the centre number and
the question numbers.
• 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 20 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (PQ/SG) 351940/3 Turn over
for more: tyrionpapers.com
, 2
1 Calculate.
3
4 .5 3.6
+
2
1 .8 2 .4
Give your answer correct to 3 significant figures.
........................................................... [2]
2 The ratio 40 grams to 1 kilogram can be written in the form 1 : n.
Find the value of n.
n = .................................................... [2]
3 The diagram shows a shape formed from a rectangle measuring 8 cm by 17 cm with a semicircle
removed from one side.
4 cm 3 cm
Not to scale
8 cm
17 cm
Calculate the perimeter of the shape.
.................................................... cm [4]
© OCR 2025
for more: tyrionpapers.com
Understand exam format and structure
Past papers show the types of questions, mark allocations, and time limits,
helping students know what to expect in the real exam.
Identify frequently tested topics
By reviewing several past papers, students can spot patterns and common
themes that appear regularly.
Practice time management
Completing past papers under timed conditions helps students learn how
to pace themselves during the exam.
Improve exam technique
Students learn how to interpret command words (e.g. explain, compare,
evaluate) and structure answers effectively.
Assess strengths and weaknesses
Marking answers using mark schemes highlights areas that need more
revision.
Build confidence
Familiarity with exam-style questions reduces anxiety and increases
confidence going into the exam.
Improve accuracy and clarity
Repeated practice helps students write clearer, more precise answers and
avoid common mistakes.
Track progress over time
Comparing results from different past papers shows improvement and
helps students adjust revision strategies.
TYRIONPAPERS.COM
, Oxford Cambridge and RSA
Thursday 15 May 2025 – Morning
GCSE (9–1) Mathematics
J560/04 Paper 4 (Higher Tier)
Time allowed: 1 hour 30 minutes
H
You must have:
* 1 8 6 3 4 3 3 1 6 9 *
• the Formulae Sheet for Higher Tier (inside this
document)
You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper
* J 5 6 0 0 4 *
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. You can use extra paper if
you need to, but you must clearly show your candidate number, the centre number and
the question numbers.
• 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 20 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [601/4606/0] OCR is an exempt Charity
DC (PQ/SG) 351940/3 Turn over
for more: tyrionpapers.com
, 2
1 Calculate.
3
4 .5 3.6
+
2
1 .8 2 .4
Give your answer correct to 3 significant figures.
........................................................... [2]
2 The ratio 40 grams to 1 kilogram can be written in the form 1 : n.
Find the value of n.
n = .................................................... [2]
3 The diagram shows a shape formed from a rectangle measuring 8 cm by 17 cm with a semicircle
removed from one side.
4 cm 3 cm
Not to scale
8 cm
17 cm
Calculate the perimeter of the shape.
.................................................... cm [4]
© OCR 2025
for more: tyrionpapers.com
