OCR A-level Maths June 2023 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, 37 minutes, marked line by line. Free, no account.
- Projectiles: components, trajectories and height
- Connected particles and smooth pulleys
- Separable differential equations and interpretation
- Area between curves and parametric areas
- Ladders, rods and connected-system models
What it tested
- Pure50 marks
- Mechanics50 marks
- Q1Logarithms and exponential equations3 marks
- Q2R-sine/cosine forms and extremaAdvanced trig equations and proofs5 marks
- Q3Polynomial algebra and the factor theoremShifts, stretches and reflections8 marks
- Q4Circles, tangents and intersectionsTangents, normals and increasing/decreasing intervals7 marks
- Q5Area between curves and parametric areasStandard advanced integrals and trig rewrites9 marks
- Q6Arithmetic progressions and proof of their sumTrig identities and interval equations6 marks
- Q7Separable differential equations and interpretationVariable-acceleration motion in one dimension12 marks
- Q8Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry4 marks
5 more questions
- Q9Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes6 marks
- Q10Resolving forces, resultants and inclined planesMagnitude, direction and vector geometry7 marks
- Q11Ladders, rods and connected-system modelsMoments and rigid-body equilibrium8 marks
- Q12Projectiles: components, trajectories and heightVariable-acceleration motion in one dimension13 marks
- Q13Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding12 marks
Every topic on OCR A-level Maths
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