OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2023 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, 37 minutes, marked line by line. Free, no account.

  • Logarithms and exponential equations
  • Connected particles and smooth pulleys
  • Addition, double-angle and half-angle identities
  • Motion graphs and area/gradient reasoning
  • Projectiles: components, trajectories and height
Start the 37-minute set

What it tested

  • Pure56 marks
  • Mechanics44 marks
  1. Q1Constant-acceleration equations and derivations2 marks
  2. Q2Rational expressions and partial fractions4 marks
  3. Q3Antiderivatives and the fundamental theoremAlgebra entry check: indices, surds and exact values3 marks
  4. Q4Moments and rigid-body equilibrium4 marks
  5. Q5Stationary points, optimisation and curvaturePower, exponential and basic trig derivatives5 marks
  6. Q6Addition, double-angle and half-angle identitiesAdvanced trig equations and proofs5 marks
  7. Q7Linear and quadratic simultaneous equationsLines, gradients and perpendicularity7 marks
  8. Q8Motion graphs and area/gradient reasoningConstant-acceleration equations and derivations11 marks
7 more questions
  1. Q9Logarithms and exponential equationsAntiderivatives and the fundamental theorem10 marks
  2. Q10Addition, double-angle and half-angle identitiesTrig identities and interval equations6 marks
  3. Q11Logarithms and exponential equationsTangents, normals and increasing/decreasing intervals10 marks
  4. Q12Resolving forces, resultants and inclined planesTwo-dimensional motion with vectors and calculus7 marks
  5. Q13Connected particles and smooth pulleysFriction: equilibrium, limiting cases and sliding12 marks
  6. Q14Arithmetic progressions and proof of their sumLogarithms and exponential equations6 marks
  7. Q15Projectiles: components, trajectories and heightInequalities and solution sets8 marks

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