OCR A-level Maths November 2021 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, 34 minutes, marked line by line. Free, no account.
- Two-dimensional motion with vectors and calculus
- Connected particles and smooth pulleys
- Stationary points, optimisation and curvature
- Projectiles: components, trajectories and height
- Separable differential equations and interpretation
What it tested
- Pure50 marks
- Mechanics50 marks
- Q1Inequalities and solution setsSketching polynomial and reciprocal graphs3 marks
- Q2Rational binomial expansions and approximationNon-right triangles and the ambiguous case6 marks
- Q3Arithmetic progressions and proof of their sumGeometric progressions and convergence5 marks
- Q4Modulus graphs, equations and inequalitiesSketching polynomial and reciprocal graphs5 marks
- Q5R-sine/cosine forms and extremaAdvanced trig equations and proofs6 marks
- Q6Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments6 marks
- Q7Separable differential equations and interpretationConnected rates and setting up differential equations8 marks
- Q8Stationary points, optimisation and curvatureIntegration by parts, including repeated use11 marks
6 more questions
- Q9Constant-acceleration equations and derivations3 marks
- Q10Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes6 marks
- Q11Projectiles: components, trajectories and height10 marks
- Q12Moments and rigid-body equilibriumLadders, rods and connected-system models7 marks
- Q13Two-dimensional motion with vectors and calculusNewton's second law in one dimension13 marks
- Q14Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding11 marks
Every topic on OCR A-level Maths
A-level Maths Pro
£129 once
Price rises to £199 on 1 January. Save £70 by joining before then.
At least 12 months of access
By paying you agree to our Terms and get access straight away, which ends your 14-day cancellation right.
No VAT is charged.