OCR A-level Maths past papers

OCR A-level Maths June 2018 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, 28 minutes, marked line by line. Free, no account.

  • Friction: equilibrium, limiting cases and sliding
  • Integration by substitution
  • Resolving forces, resultants and inclined planes
  • Variable-acceleration motion in one dimension
  • Moments and rigid-body equilibrium
Start the 28-minute set

What it tested

  • Pure50 marks
  • Mechanics50 marks
  1. Q1Circles, tangents and intersections3 marks
  2. Q2Modulus graphs, equations and inequalities3 marks
  3. Q3Inequalities and solution setsQuadratics: square form, discriminants and roots6 marks
  4. Q4Composite/inverse functions and domain/rangePolynomial algebra and the factor theorem8 marks
  5. Q5Integration by substitutionTrapezium estimates and bounds13 marks
  6. Q6Addition, double-angle and half-angle identitiesAlgebra entry check: indices, surds and exact values8 marks
  7. Q7Separable differential equations and interpretation9 marks
  8. Q8Two-dimensional motion with vectors and calculusResolving forces, resultants and inclined planes6 marks
4 more questions
  1. Q9Moments and rigid-body equilibriumLadders, rods and connected-system models9 marks
  2. Q10Resolving forces, resultants and inclined planesEquilibrium and Newton's third-law pairs11 marks
  3. Q11Variable-acceleration motion in one dimensionConstant-acceleration equations and derivations10 marks
  4. Q12Friction: equilibrium, limiting cases and slidingConnected particles and smooth pulleys14 marks

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