OCR A-level Maths June 2022 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.
- Newton-Raphson, failure cases and contextual roots
- Projectiles: components, trajectories and height
- Two-dimensional motion with vectors and calculus
- Advanced trig equations and proofs
- Area between curves and parametric areas
What it tested
- Pure50 marks
- Mechanics50 marks
- Q1Modulus graphs, equations and inequalities3 marks
- Q2Composite/inverse functions and domain/rangeShifts, stretches and reflections5 marks
- Q3Circles, tangents and intersections4 marks
- Q4Geometric progressions and convergenceArithmetic progressions and proof of their sum8 marks
- Q5Newton-Raphson, failure cases and contextual rootsProduct, quotient and chain rules14 marks
- Q6Area between curves and parametric areasAntiderivatives and the fundamental theorem8 marks
- Q7Advanced trig equations and proofsReciprocal and inverse trig functions8 marks
- Q8Resolving forces, resultants and inclined planesEquilibrium and Newton's third-law pairs2 marks
5 more questions
- Q9Motion graphs and area/gradient reasoningConstant-acceleration equations and derivations6 marks
- Q10Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding8 marks
- Q11Ladders, rods and connected-system modelsMoments and rigid-body equilibrium7 marks
- Q12Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry13 marks
- Q13Projectiles: components, trajectories and height14 marks
Every topic on OCR A-level Maths
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