OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2019 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, 31 minutes, marked line by line. Free, no account.

  • Friction: equilibrium, limiting cases and sliding
  • Separable differential equations and interpretation
  • Resolving forces, resultants and inclined planes
  • Newton-Raphson, failure cases and contextual roots
  • Advanced trig equations and proofs
Start the 31-minute set

What it tested

  • Pure58 marks
  • Mechanics42 marks
  1. Q1Definite integrals, areas and limiting stripsAntiderivatives and the fundamental theorem3 marks
  2. Q2Lines, gradients and perpendicularity3 marks
  3. Q3Rational binomial expansions and approximation5 marks
  4. Q4Moments and rigid-body equilibrium3 marks
  5. Q5Newton's second law in one dimensionConstant-acceleration equations and derivations4 marks
  6. Q6Advanced trig equations and proofsReciprocal and inverse trig functions7 marks
  7. Q7Variable-acceleration motion in one dimension4 marks
  8. Q8Arithmetic progressions and proof of their sum7 marks
8 more questions
  1. Q9Projectiles: components, trajectories and height7 marks
  2. Q10R-sine/cosine forms and extremaShifts, stretches and reflections7 marks
  3. Q11Resolving forces, resultants and inclined planesTwo-dimensional motion with vectors and calculus5 marks
  4. Q12Parametric models, tangents and parameter domainsMagnitude, direction and vector geometry6 marks
  5. Q13Resolving forces, resultants and inclined planesForce diagrams, weight and Newton's first law5 marks
  6. Q14Newton-Raphson, failure cases and contextual rootsRadians, arc lengths and sector areas8 marks
  7. Q15Separable differential equations and interpretationVariable-acceleration motion in one dimension12 marks
  8. Q16Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes14 marks

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