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Exam (elaborations)

OCR GCSE Mathematics – Paper 4 Higher Tier (2025) Actual Exam Paper & Mark Scheme

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Revise effectively with the official OCR GCSE Mathematics (2025) Paper 4 Higher Tier resource. This merged document provides: - The actual exam paper for Paper 4 Higher Tier - The full mark scheme, integrated for examiner guidance - Convenient DOCX format for annotation, printing, or digital study Perfect for students preparing for OCR GCSE Mathematics Higher Tier assessments, teachers planning lessons, and tutors supporting exam practice. With both the paper and mark scheme combined, you can simulate exam conditions and check answers instantly. Key Topics Typically Covered: - Algebra: equations, inequalities, sequences, and graphs - Geometry: angles, circles, transformations, and constructions - Trigonometry: ratios, identities, and problem solving - Statistics: data handling, probability, and interpretation - Number: fractions, percentages, ratios, and standard form - Examiner commentary and worked solutions This all‑in‑one resource streamlines revision and ensures comprehensive preparation for the OCR Mathematics Paper 4 Higher Tier exam.

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Institution
OCR GCSE
Course
OCR GCSE

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Uploaded on
December 4, 2025
Number of pages
54
Written in
2025/2026
Type
Exam (elaborations)
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Questions & answers

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*1863433169*




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]
DC (PQ/SG) 351940/3
OCR is an exempt Charity
Turn over

, 2
1 Calculate. 4 5. 3
3 6. +

1.8 2 4. 2

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 = ....................................................


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]

4 (a) Describe the correlation shown in each of these scatter diagrams.



© OCR 2025

, 3




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



(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] 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 ..........................................................

2
x = 3x + 10 is an ..........................................................


© OCR 2025 Turn over

, 4


(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] 6 The distance of a car race is
420 km.
A car completes the first 210 km at an average speed of 150 km/h.
The same car completes the final 210 km at an average speed of 100 km/h.

Show that the average speed of the car for the whole race is less than 125 km/h.




© OCR 2025
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