OCR MEI A-level Maths past papers
OCR MEI A-level Maths June 2025 Paper 3
- H640/03
- Pure mathematics and comprehension
- 2 hours
- 75 marks
Question paper, Question paper, Insert, Mark scheme, Examiner report: on the OCR website.
Practise this paper's topics
5 new exam questions, 48 minutes, marked line by line. Free, no account.
- Fixed-point iteration and staircase/cobweb diagrams
- Lines, gradients and perpendicularity
- Exponential models and their parameters
- Composite/inverse functions and domain/range
- Inequalities and solution sets
What it tested
- Pure75 marks
- Q1Rational binomial expansions and approximation4 marks
- Q2Composite/inverse functions and domain/range2 marks
- Q3Lines, gradients and perpendicularityMagnitude, direction and vector geometry10 marks
- Q4Geometric progressions and convergence3 marks
- Q5Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments10 marks
- Q6Bracketing roots and failure of sign-change argumentsStationary points, optimisation and curvature3 marks
- Q7Exponential models and their parametersGeometric progressions and convergence9 marks
- Q8Derivatives from first principles3 marks
6 more questions
- Q9Composite/inverse functions and domain/rangePower, exponential and basic trig derivatives5 marks
- Q10Magnitude, direction and vector geometryDeduction, exhaustion and counterexamples6 marks
- Q11Recursive sequences, monotonicity, periodicity and sigmaAlgebra entry check: indices, surds and exact values5 marks
- Q12Inequalities and solution setsSketching polynomial and reciprocal graphs7 marks
- Q13Addition, double-angle and half-angle identitiesAdvanced trig equations and proofs3 marks
- Q14Implicit differentiation and parametric curvesRational expressions and partial fractions5 marks
Every topic on OCR MEI A-level Maths
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