OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2022 Paper 1

  • H640/01
  • 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, 30 minutes, marked line by line. Free, no account.

  • Exponential models and their parameters
  • Newton's second law in one dimension
  • Implicit differentiation and parametric curves
  • Moments and rigid-body equilibrium
  • Addition, double-angle and half-angle identities
Start the 30-minute set

What it tested

  • Pure56 marks
  • Mechanics44 marks
  1. Q1Motion graphs and area/gradient reasoningPosition, displacement, distance, speed and velocity4 marks
  2. Q2Rational expressions and partial fractions3 marks
  3. Q3Addition, double-angle and half-angle identitiesAdvanced trig equations and proofs8 marks
  4. Q4Rational binomial expansions and approximation4 marks
  5. Q5Resolving forces, resultants and inclined planesEquilibrium and Newton's third-law pairs5 marks
  6. Q6Moments and rigid-body equilibriumForce diagrams, weight and Newton's first law9 marks
  7. Q7Projectiles: components, trajectories and height6 marks
  8. Q8Implicit differentiation and parametric curvesTwo-dimensional motion with vectors and calculus10 marks
6 more questions
  1. Q9Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry8 marks
  2. Q10Connected rates and setting up differential equationsNon-right triangles and the ambiguous case8 marks
  3. Q11Standard advanced integrals and trig rewritesDefinite integrals, areas and limiting strips6 marks
  4. Q12Contradiction and first-principles proof clinic4 marks
  5. Q13Newton's second law in one dimensionResolving forces, resultants and inclined planes12 marks
  6. Q14Exponential models and their parametersLinearising power/exponential models with logs13 marks

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