OCR A-level Maths past papers

OCR A-level Maths June 2022 Paper 2

  • H240/02
  • Pure mathematics and statistics
  • 2 hours
  • 100 marks

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

Practise this paper's topics

5 new exam questions, 30 minutes, marked line by line. Free, no account.

  • Normal distributions and calculator probabilities
  • Conditional probability: trees, tables and sets
  • LDS investigation: sampling to a defensible conclusion
  • Rational integration and logarithmic forms
  • Deduction, exhaustion and counterexamples
Start the 30-minute set

What it tested

  • Pure53 marks
  • Statistics47 marks
  1. Q1Rational expressions and partial fractionsQuadratics: square form, discriminants and roots8 marks
  2. Q2Magnitude, direction and vector geometryVectors: components, position and subtraction5 marks
  3. Q3Rational integration and logarithmic formsAntiderivatives and the fundamental theorem10 marks
  4. Q4Sequences and series as financial/physical modelsGeometric progressions and convergence5 marks
  5. Q5Stationary points, optimisation and curvature4 marks
  6. Q6Composite/inverse functions and domain/range6 marks
  7. Q7Deduction, exhaustion and counterexamplesSample spaces, exclusivity and independence8 marks
  8. Q8Connected rates and setting up differential equationsSeparable differential equations and interpretation7 marks
5 more questions
  1. Q9Normal distributions and calculator probabilitiesVariance, standard deviation and coding14 marks
  2. Q10LDS investigation: sampling to a defensible conclusionAverages, spread and grouped percentiles10 marks
  3. Q11Tests for a Normal mean7 marks
  4. Q12Hypothesis tests for a binomial proportion6 marks
  5. Q13Conditional probability: trees, tables and sets10 marks

Every topic on OCR A-level Maths

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