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OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2025 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.

  • Friction: equilibrium, limiting cases and sliding
  • Implicit differentiation and parametric curves
  • Product, quotient and chain rules
  • Two-dimensional motion with vectors and calculus
  • Connected particles and smooth pulleys
Start the 37-minute set

What it tested

  • Pure57 marks
  • Mechanics43 marks
  1. Q1Modulus graphs, equations and inequalities5 marks
  2. Q2Rational expressions and partial fractions4 marks
  3. Q3Recursive sequences, monotonicity, periodicity and sigma4 marks
  4. Q4Radians, arc lengths and sector areasNon-right triangles and the ambiguous case4 marks
  5. Q5Moments and rigid-body equilibrium3 marks
  6. Q6Connected particles and smooth pulleysNewton's second law in one dimension8 marks
  7. Q7Area between curves and parametric areasLinear and quadratic simultaneous equations7 marks
  8. Q8Quadratics: square form, discriminants and rootsLinear and quadratic simultaneous equations7 marks
6 more questions
  1. Q9Linearising power/exponential models with logs6 marks
  2. Q10Product, quotient and chain rulesTrapezium estimates and bounds10 marks
  3. Q11Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals10 marks
  4. Q12Projectiles: components, trajectories and heightConstant-acceleration equations and derivations8 marks
  5. Q13Two-dimensional motion with vectors and calculusMagnitude, direction and vector geometry9 marks
  6. Q14Friction: equilibrium, limiting cases and slidingResolving forces, resultants and inclined planes15 marks

Every topic on OCR MEI A-level Maths

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