OCR A-level Maths past papers

OCR A-level Maths June 2018 Paper 1

  • H240/01
  • Pure mathematics
  • 2 hours
  • 100 marks

Question paper, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 38 minutes, marked line by line. Free, no account.

  • Separable differential equations and interpretation
  • Exponential models and their parameters
  • Area between curves and parametric areas
  • Implicit differentiation and parametric curves
  • Polynomial algebra and the factor theorem
Start the 38-minute set

What it tested

  • Pure100 marks
  1. Q1Lines, gradients and perpendicularity4 marks
  2. Q2Trapezium estimates and bounds4 marks
  3. Q3Quadratics: square form, discriminants and rootsAlgebra entry check: indices, surds and exact values4 marks
  4. Q4Deduction, exhaustion and counterexamples4 marks
  5. Q5Circles, tangents and intersectionsLinear and quadratic simultaneous equations8 marks
  6. Q6Polynomial algebra and the factor theoremSketching polynomial and reciprocal graphs9 marks
  7. Q7Sequences and series as financial/physical modelsGeometric progressions and convergence9 marks
  8. Q8Rational binomial expansions and approximation7 marks
5 more questions
  1. Q9Composite/inverse functions and domain/rangeQuadratics: square form, discriminants and roots7 marks
  2. Q10Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals10 marks
  3. Q11Exponential models and their parametersLogarithms and exponential equations11 marks
  4. Q12Area between curves and parametric areasRational integration and logarithmic forms10 marks
  5. Q13Separable differential equations and interpretationConnected rates and setting up differential equations13 marks

Every topic on OCR A-level Maths

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