OCR A-level Maths June 2025 Paper 3
- H240/03
- Pure mathematics and mechanics
- 2 hours
- 100 marks
Question paper, Mark scheme, Examiner report: on the OCR website.
Practise this paper's topics
5 new exam questions, 35 minutes, marked line by line. Free, no account.
- Integration by substitution
- Projectiles: components, trajectories and height
- Friction: equilibrium, limiting cases and sliding
- Quadratics: square form, discriminants and roots
- Derivatives from first principles
What it tested
- Pure50 marks
- Mechanics50 marks
- Q1Quadratics: square form, discriminants and rootsTangents, normals and increasing/decreasing intervals5 marks
- Q2Shifts, stretches and reflections4 marks
- Q3Modulus graphs, equations and inequalitiesLogarithms and exponential equations7 marks
- Q4Quadratics: square form, discriminants and rootsComposite/inverse functions and domain/range8 marks
- Q5Integration by substitutionFixed-point iteration and staircase/cobweb diagrams14 marks
- Q6Derivatives from first principlesAddition, double-angle and half-angle identities12 marks
- Q7Resolving forces, resultants and inclined planesTwo-dimensional motion with vectors and calculus5 marks
- Q8Connected particles and smooth pulleysNewton's second law in one dimension4 marks
4 more questions
- Q9Variable-acceleration motion in one dimension6 marks
- Q10Moments and rigid-body equilibriumLadders, rods and connected-system models8 marks
- Q11Projectiles: components, trajectories and heightMagnitude, direction and vector geometry14 marks
- Q12Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes13 marks
Every topic on OCR A-level Maths
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