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This page hosts StudyVector’s independent 2026 GCSE Mathematics Paper 4 Higher predicted-practice paper modelled on J560/04,100 marks over 90 minutes. Predicted focus topics: Calculator trigonometry, Compound interest, Bounds, Iteration, Similarity. It is not an official paper, not a leaked paper and not a guarantee — students should still revise the full specification and verify against official past papers from OCR.

Qualification: GCSE Mathematics
Exam board model: OCR
Paper code: J560/04
Total marks: 100 marks
Time allowed: 90 minutes

StudyVector is independent revision support, not affiliated with AQA, Edexcel, OCR, JCQ or any exam provider. Always verify topic coverage with your exam-board specification.

Predicted paper FAQs

Is OCR GCSE Maths 2026 Predicted Practice Paper — Paper 4 Higher an official exam paper?

No. It is an original StudyVector predicted-practice paper for revision. It is not official, leaked or guaranteed, and students should still revise the full specification.

How many marks and questions are in this predicted paper?

This paper has 100 marks across 21 questions and is designed for a 90-minute practice session.

What are the GCSE Mathematics Paper 4 Higher predictions for 2026?

StudyVector's 2026 GCSE Mathematics Paper 4 Higher predicted paper focuses on Calculator trigonometry, Compound interest, Bounds, Iteration, Similarity, Histograms. This is an independent, OCR-style predicted-practice paper modelled on the published specification — it is not a leaked paper and is not official.

Which topics are likely to come up in GCSE Mathematics Paper 4 Higher 2026?

Based on the OCR-style structure and recent paper patterns, StudyVector's prediction prioritises: Calculator trigonometry; Compound interest; Bounds; Iteration; Similarity; Histograms. Students should still revise the full specification because exam boards rotate topics.

What is the GCSE Mathematics Paper 4 Higher format (J560/04)?

GCSE Mathematics Paper 4 Higher (J560/04) is 100 marks over 90 minutes. Models OCR J560 Higher Paper 4: 1 hour 30 minutes, 100 marks, calculator permitted.

Predicted paper

OCR GCSE Maths 2026 Predicted Practice Paper — Paper 4 Higher

GCSE Mathematics · OCR-style · 90 minutes · 100 marks

Modelled component: J560/04 · Tier: Higher · Calculator permitted

Models OCR J560 Higher Paper 4: 1 hour 30 minutes, 100 marks, calculator permitted.

Prediction type: predicted_paper · Evidence mode: historical · Full-length original practice paper modelled on OCR J560's public GCSE Maths Higher structure. It is not official, leaked or guaranteed.

Evidence basis: official public assessment structure, full-paper mark total, board-specific calculator rules, GCSE Maths topic weighting, higher-tier problem-solving mix.

AI-generated practice paper. Not an official OCR-style paper, not leaked exam content, and not an exam-board endorsement.

Predicted difficulty score (practice signal)

0–100 model (higher = more demanding)

Candidate focus topics (not guarantees)

Calculator trigonometry
Compound interest
Bounds
Iteration
Similarity
Histograms

Preview mode

0/21 questions attempted · score 0/100 (0%)

90:00Warm up with cards Play Daily

Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working.

Section A

Answer all questions. A calculator is permitted for this OCR Higher Paper 4 style paper.

Question A1 (2 marks)
Work out 3.7^2 - 2.4^2.
(Total for Question A1 is 2 marks)
Question A2 (2 marks)
A car travels 156 miles in 2.5 hours. Work out its average speed in miles per hour.
(Total for Question A2 is 2 marks)
Question A3 (3 marks)
Increase 84 by 17.5%.
(Total for Question A3 is 3 marks)
Question A4 (3 marks)
GBP450 is invested for 4 years at 3% compound interest per year. Work out the final value.
(Total for Question A4 is 3 marks)
Question A5 (3 marks)
Work out (6.4 x 10^5) x (3 x 10^-2). Give your answer in standard form.
(Total for Question A5 is 3 marks)
Question A6 (4 marks)
In a right-angled triangle, the hypotenuse is 12 cm and an angle is 35 degrees. Work out the length of the side opposite the 35 degree angle.
(Total for Question A6 is 4 marks)
Question A7 (4 marks)
The probability that a biased coin lands on heads is 0.62. The coin is tossed twice. Work out the probability of exactly one head.
(Total for Question A7 is 4 marks)

Section B

Answer all questions. Give reasons or working where required.

Question B1 (4 marks)
An object has mass 780 g and volume 250 cm^3. Work out its density.
(Total for Question B1 is 4 marks)
Question B2 (4 marks)
Solve the simultaneous equations 3x + 2y = 31 and x - y = 3.
(Total for Question B2 is 4 marks)
Question B3 (4 marks)
Rearrange v^2 = u^2 + 2as to make s the subject. Then find s when v = 18, u = 6 and a = 3.
(Total for Question B3 is 4 marks)
Question B4 (5 marks)
f(x) = 3x - 5. Find f^-1(x) and then find f^-1(16).
(Total for Question B4 is 5 marks)
Question B5 (5 marks)
A sector has radius 8 cm and angle 110 degrees. Work out its area.
(Total for Question B5 is 5 marks)
Question B6 (5 marks)
x = 12.4 correct to the nearest 0.1 and y = 5.8 correct to the nearest 0.1. Work out the lower bound for x/y.
(Total for Question B6 is 5 marks)
Question B7 (6 marks)
A cumulative frequency table gives: up to 10: 4, up to 20: 12, up to 30: 27, up to 40: 40. Estimate the interquartile range.
(Total for Question B7 is 6 marks)
Question B8 (6 marks)
OA = 2i + 3j and OB = 10i - 5j. P divides AB in the ratio 3 : 1 from A to B. Find the position vector of P.
(Total for Question B8 is 6 marks)

Section C

Answer all questions. These questions assess linked reasoning and problem solving.

Question C1 (6 marks)
Solve 2x^2 - 5x - 3 = 0.
(Total for Question C1 is 6 marks)
Question C2 (6 marks)
The equation x^2 + x - 10 = 0 can be solved using x = sqrt(10 - x). Starting with x0 = 2.5, find x1, x2 and x3. Give x3 to 3 significant figures.
(Total for Question C2 is 6 marks)
Question C3 (7 marks)
Two mathematically similar solids have a linear scale factor of 1.5 from the smaller solid to the larger solid. The smaller solid has volume 240 cm^3. Work out the volume of the larger solid.
(Total for Question C3 is 7 marks)
Question C4 (7 marks)
In triangle ABC, AB = 8 cm, AC = 11 cm and angle BAC = 42 degrees. Work out BC and the area of triangle ABC.
(Total for Question C4 is 7 marks)
Question C5 (7 marks)
A histogram has classes 0-10, 10-25 and 25-40. The frequencies are 8, 24 and 15. Work out the frequency density for each class and state which class has the tallest bar.
(Total for Question C5 is 7 marks)
Question C6 (7 marks)
Prove that (n + 1)^2 - (n - 1)^2 is always divisible by 4 for integer n.
(Total for Question C6 is 7 marks)

Train weak areas

Turn this paper into targeted practice. Start with the topics where you lost marks, then come back and resit the same style of question.

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Predicted paper FAQs

Is OCR GCSE Maths 2026 Predicted Practice Paper — Paper 4 Higher an official exam paper?

No. It is an original StudyVector predicted-practice paper for revision. It is not official, leaked or guaranteed, and students should still revise the full specification.

How many marks and questions are in this predicted paper?

This paper has 100 marks across 21 questions and is designed for a 90-minute practice session.

What are the GCSE Mathematics Paper 4 Higher predictions for 2026?

Which topics are likely to come up in GCSE Mathematics Paper 4 Higher 2026?

What is the GCSE Mathematics Paper 4 Higher format (J560/04)?

GCSE Mathematics Paper 4 Higher (J560/04) is 100 marks over 90 minutes. Models OCR J560 Higher Paper 4: 1 hour 30 minutes, 100 marks, calculator permitted.

OCR GCSE Maths 2026 Predicted Practice Paper — Paper 4 Higher

GCSE Mathematics · OCR-style · 90 minutes · 100 marks

Modelled component: J560/04 · Tier: Higher · Calculator permitted

Models OCR J560 Higher Paper 4: 1 hour 30 minutes, 100 marks, calculator permitted.

Evidence basis: official public assessment structure, full-paper mark total, board-specific calculator rules, GCSE Maths topic weighting, higher-tier problem-solving mix.

Section A

Answer all questions. A calculator is permitted for this OCR Higher Paper 4 style paper.

Question A1 (2 marks)

Work out 3.7^2 - 2.4^2.

(Total for Question A1 is 2 marks)

Question A2 (2 marks)

A car travels 156 miles in 2.5 hours. Work out its average speed in miles per hour.

(Total for Question A2 is 2 marks)

Question A3 (3 marks)

Increase 84 by 17.5%.

(Total for Question A3 is 3 marks)

Question A4 (3 marks)

GBP450 is invested for 4 years at 3% compound interest per year. Work out the final value.

(Total for Question A4 is 3 marks)

Question A5 (3 marks)

Work out (6.4 x 10^5) x (3 x 10^-2). Give your answer in standard form.

(Total for Question A5 is 3 marks)

Question A6 (4 marks)

In a right-angled triangle, the hypotenuse is 12 cm and an angle is 35 degrees. Work out the length of the side opposite the 35 degree angle.

(Total for Question A6 is 4 marks)

Question A7 (4 marks)

The probability that a biased coin lands on heads is 0.62. The coin is tossed twice. Work out the probability of exactly one head.

(Total for Question A7 is 4 marks)

Section B

Answer all questions. Give reasons or working where required.

Question B1 (4 marks)

An object has mass 780 g and volume 250 cm^3. Work out its density.

(Total for Question B1 is 4 marks)

Question B2 (4 marks)

Solve the simultaneous equations 3x + 2y = 31 and x - y = 3.

(Total for Question B2 is 4 marks)

Question B3 (4 marks)

Rearrange v^2 = u^2 + 2as to make s the subject. Then find s when v = 18, u = 6 and a = 3.

(Total for Question B3 is 4 marks)

Question B4 (5 marks)

f(x) = 3x - 5. Find f^-1(x) and then find f^-1(16).

(Total for Question B4 is 5 marks)

Question B5 (5 marks)

A sector has radius 8 cm and angle 110 degrees. Work out its area.

(Total for Question B5 is 5 marks)

Question B6 (5 marks)

x = 12.4 correct to the nearest 0.1 and y = 5.8 correct to the nearest 0.1. Work out the lower bound for x/y.

(Total for Question B6 is 5 marks)

Question B7 (6 marks)

A cumulative frequency table gives: up to 10: 4, up to 20: 12, up to 30: 27, up to 40: 40. Estimate the interquartile range.

(Total for Question B7 is 6 marks)

Question B8 (6 marks)

OA = 2i + 3j and OB = 10i - 5j. P divides AB in the ratio 3 : 1 from A to B. Find the position vector of P.

(Total for Question B8 is 6 marks)

Section C

Answer all questions. These questions assess linked reasoning and problem solving.

Question C1 (6 marks)

Solve 2x^2 - 5x - 3 = 0.

(Total for Question C1 is 6 marks)

Question C2 (6 marks)

The equation x^2 + x - 10 = 0 can be solved using x = sqrt(10 - x). Starting with x0 = 2.5, find x1, x2 and x3. Give x3 to 3 significant figures.

(Total for Question C2 is 6 marks)

Question C3 (7 marks)

Two mathematically similar solids have a linear scale factor of 1.5 from the smaller solid to the larger solid. The smaller solid has volume 240 cm^3. Work out the volume of the larger solid.

(Total for Question C3 is 7 marks)

Question C4 (7 marks)

In triangle ABC, AB = 8 cm, AC = 11 cm and angle BAC = 42 degrees. Work out BC and the area of triangle ABC.

(Total for Question C4 is 7 marks)

Question C5 (7 marks)

A histogram has classes 0-10, 10-25 and 25-40. The frequencies are 8, 24 and 15. Work out the frequency density for each class and state which class has the tallest bar.

(Total for Question C5 is 7 marks)

Question C6 (7 marks)

Prove that (n + 1)^2 - (n - 1)^2 is always divisible by 4 for integer n.

(Total for Question C6 is 7 marks)