OCR A-level Maths June 2024 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, 31 minutes, marked line by line. Free, no account.
- Resolving forces, resultants and inclined planes
- Implicit differentiation and parametric curves
- Product, quotient and chain rules
- Friction: equilibrium, limiting cases and sliding
- Variable-acceleration motion in one dimension
What it tested
- Pure51 marks
- Mechanics49 marks
- Q1Algebra entry check: indices, surds and exact valuesRational expressions and partial fractions4 marks
- Q2Inequalities and solution setsRadians, arc lengths and sector areas5 marks
- Q3Rational binomial expansions and approximation7 marks
- Q4Advanced trig equations and proofsReciprocal and inverse trig functions9 marks
- Q5Product, quotient and chain rulesIntegration by parts, including repeated use13 marks
- Q6Implicit differentiation and parametric curvesCircles, tangents and intersections6 marks
- Q7Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals7 marks
- Q8Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry6 marks
5 more questions
- Q9Resolving forces, resultants and inclined planesEquilibrium and Newton's third-law pairs8 marks
- Q10Resolving forces, resultants and inclined planesEquilibrium and Newton's third-law pairs6 marks
- Q11Moments and rigid-body equilibriumFriction: equilibrium, limiting cases and sliding7 marks
- Q12Variable-acceleration motion in one dimensionMotion graphs and area/gradient reasoning10 marks
- Q13Friction: equilibrium, limiting cases and slidingProjectiles: components, trajectories and height12 marks
Every topic on OCR A-level Maths
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