2025 OCR GCSE (9–1) Mathematics J560/04 Paper 4 (Higher Tier) Combined Question
Paper & Final Marking Scheme
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
*1863433169*
H
You must have:
• 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
, 2
1 Calculate.
3
4.5 3.6
+
1.8 2.42
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.
© OCR 2025
.................................................... cm [4]
, 3
4 (a) Describe the correlation shown in each of these scatter diagrams.
..................................... ..................................... .....................................
[2]
(b) A theatre records the number of seats sold and the profit made for 10 performances.
The scatter diagram shows these results.
200
150
Profit (£) 100
50
0
100 150 200 250 300 350 400
Number of seats sold
By drawing a line of best fit, estimate the profit made when 250 seats are sold.
(b) £.......................................................... [2]
© OCR 2025 Turn over
, 4
5 (a) For each of the algebraic statements below decide whether it is an equation or an identity.
(x - 1)(x - 2) = 12 is an ..........................................................
(x - 1)(x - 2) = x2 - 3x + 2 is an ..........................................................
x2 = 3x + 10 is an ..........................................................
[1]
(b) A straight line is parallel to y = 3x and passes through the point (2, 11).
Find the equation of the line in the form y = mx + c .
(b).................................................................[3]
© OCR 2025
Paper & Final Marking Scheme
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
*1863433169*
H
You must have:
• 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
, 2
1 Calculate.
3
4.5 3.6
+
1.8 2.42
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.
© OCR 2025
.................................................... cm [4]
, 3
4 (a) Describe the correlation shown in each of these scatter diagrams.
..................................... ..................................... .....................................
[2]
(b) A theatre records the number of seats sold and the profit made for 10 performances.
The scatter diagram shows these results.
200
150
Profit (£) 100
50
0
100 150 200 250 300 350 400
Number of seats sold
By drawing a line of best fit, estimate the profit made when 250 seats are sold.
(b) £.......................................................... [2]
© OCR 2025 Turn over
, 4
5 (a) For each of the algebraic statements below decide whether it is an equation or an identity.
(x - 1)(x - 2) = 12 is an ..........................................................
(x - 1)(x - 2) = x2 - 3x + 2 is an ..........................................................
x2 = 3x + 10 is an ..........................................................
[1]
(b) A straight line is parallel to y = 3x and passes through the point (2, 11).
Find the equation of the line in the form y = mx + c .
(b).................................................................[3]
© OCR 2025
