OCR A-level Maths past papers

OCR A-level Maths June 2022 Paper 1

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

Question paper, Mark scheme, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 34 minutes, marked line by line. Free, no account.

  • Implicit differentiation and parametric curves
  • Fixed-point iteration and staircase/cobweb diagrams
  • Exponential models and their parameters
  • Separable differential equations and interpretation
  • Integer binomial expansions and coefficients
Start the 34-minute set

What it tested

  • Pure100 marks
  1. Q1Trapezium estimates and bounds6 marks
  2. Q2Deduction, exhaustion and counterexamplesTrig identities and interval equations6 marks
  3. Q3Inequalities and solution setsLinear and quadratic simultaneous equations7 marks
  4. Q4Quadratics: square form, discriminants and rootsTrig identities and interval equations8 marks
  5. Q5Logarithms and exponential equationsExponential graphs and transformations8 marks
  6. Q6Integer binomial expansions and coefficients8 marks
  7. Q7Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals8 marks
  8. Q8Exponential models and their parametersLogarithms and exponential equations9 marks
4 more questions
  1. Q9Integration by substitutionStandard advanced integrals and trig rewrites7 marks
  2. Q10Fixed-point iteration and staircase/cobweb diagramsRadians, arc lengths and sector areas12 marks
  3. Q11Separable differential equations and interpretationIntegration by parts, including repeated use9 marks
  4. Q12Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals12 marks

Every topic on OCR A-level Maths

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