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Predicted paper
OCR A-Level Maths 2026 Predicted Practice Paper — Pure and Statistics
A-Level Mathematics · OCR-style · 120 minutes · 100 marks
Modelled component: H240/02 · Calculator permitted
H240/02 model: 100 marks, 120 minutes.
Prediction type: predicted_paper · Evidence mode: historical · Full-length original StudyVector predicted-practice paper modelled on public exam-board structure. It is not official, leaked or guaranteed.
Evidence basis: public exam-board specification structure, historical topic weighting patterns, StudyVector practice-quality review.
75
0–100 model (higher = more demanding)
- pure calculus
- statistical hypothesis testing
- probability
- sequences
- data interpretation
I completed a StudyVector A-Level Mathematics derived predicted-practice paper (2026) and scored 0/100. This is practice-only and not an official paper:
Section A: Pure Mathematics
Pure mathematics questions. Answer ALL questions.
Question SECTION-A-PURE-MATHEMATICS1 (3 marks)
A-Level Algebra & Functions problem. Answer this exam-style question on Algebra & Functions. You should show clear working, justify each step and give your final answer in a suitable form.
Question SECTION-A-PURE-MATHEMATICS2 (4 marks)
A-Level differentiation problem. The curve C has equation y = x^3 - 3x^2 + 4x + 4. (a) Find dy/dx. (b) Find the coordinates of any stationary points. (c) Determine the nature of one stationary point.
Question SECTION-A-PURE-MATHEMATICS3 (5 marks)
A-Level differentiation problem. The curve C has equation y = x^3 - 4x^2 + 5x + 4. (a) Find dy/dx. (b) Find the coordinates of any stationary points. (c) Determine the nature of one stationary point.
Question SECTION-A-PURE-MATHEMATICS4 (6 marks)
A-Level vectors problem. Points A, B and C have position vectors a = (5, 1, -1), b = (7, 4, 2) and c = (1, 6, 3). (a) Find vector AB. (b) Find the scalar product AB · AC. (c) Use your result to comment on the angle BAC.
Question SECTION-A-PURE-MATHEMATICS5 (7 marks)
A-Level Statistical Sampling problem. A sample of 52 students is used to test a claim about revision time. The summary statistic is compared with a 5% significance level. (a) State suitable hypotheses. (b) Carry out the required calculation or decision step. (c) Interpret the result in the context of the claim.
Question SECTION-A-PURE-MATHEMATICS6 (8 marks)
A-Level Data Presentation problem. Answer this exam-style question on Data Presentation. You should show clear working, justify each step and give your final answer in a suitable form.
Question SECTION-A-PURE-MATHEMATICS7 (10 marks)
A-Level Probability problem. A sample of 58 students is used to test a claim about revision time. The summary statistic is compared with a 5% significance level. (a) State suitable hypotheses. (b) Carry out the required calculation or decision step. (c) Interpret the result in the context of the claim.
Question SECTION-A-PURE-MATHEMATICS8 (12 marks)
A-Level Statistical Distributions problem. A sample of 61 students is used to test a claim about revision time. The summary statistic is compared with a 5% significance level. (a) State suitable hypotheses. (b) Carry out the required calculation or decision step. (c) Interpret the result in the context of the claim.
Section B: Statistics
Statistics, probability and data interpretation questions. Answer ALL questions.
Question SECTION-B-STATISTICS1 (5 marks)
A-Level Hypothesis Testing problem. A sample of 64 students is used to test a claim about revision time. The summary statistic is compared with a 5% significance level. (a) State suitable hypotheses. (b) Carry out the required calculation or decision step. (c) Interpret the result in the context of the claim.
Question SECTION-B-STATISTICS2 (8 marks)
A-Level Algebra & Functions problem. Answer this exam-style question on Algebra & Functions. You should show clear working, justify each step and give your final answer in a suitable form.
Question SECTION-B-STATISTICS3 (10 marks)
A-Level differentiation problem. The curve C has equation y = x^3 - 12x^2 + 13x + 4. (a) Find dy/dx. (b) Find the coordinates of any stationary points. (c) Determine the nature of one stationary point.
Question SECTION-B-STATISTICS4 (10 marks)
A-Level differentiation problem. The curve C has equation y = x^3 - 13x^2 + 14x + 4. (a) Find dy/dx. (b) Find the coordinates of any stationary points. (c) Determine the nature of one stationary point.
Question SECTION-B-STATISTICS5 (12 marks)
A-Level vectors problem. Points A, B and C have position vectors a = (14, 1, -1), b = (16, 4, 2) and c = (1, 15, 3). (a) Find vector AB. (b) Find the scalar product AB · AC. (c) Use your result to comment on the angle BAC.
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