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OCR A-level Maths past papers

OCR A-level Maths June 2023 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, 26 minutes, marked line by line. Free, no account.

  • Tangents, normals and increasing/decreasing intervals
  • Circles, tangents and intersections
  • LDS investigation: sampling to a defensible conclusion
  • Inverse Normal, standardisation and unknown parameters
  • Tests for a Normal mean
Start the 26-minute set

What it tested

  • Statistics51 marks
  • Pure49 marks
  1. Q1Quadratics: square form, discriminants and roots5 marks
  2. Q2Magnitude, direction and vector geometryVectors: components, position and subtraction5 marks
  3. Q3Rational integration and logarithmic formsDefinite integrals, areas and limiting strips3 marks
  4. Q4Tangents, normals and increasing/decreasing intervalsLines, gradients and perpendicularity9 marks
  5. Q5Tangents, normals and increasing/decreasing intervalsTrig identities and interval equations12 marks
  6. Q6Circles, tangents and intersectionsLinear and quadratic simultaneous equations10 marks
  7. Q7Contradiction and first-principles proof clinic5 marks
  8. Q8Histograms, box plots and cumulative frequencyAverages, spread and grouped percentiles7 marks
6 more questions
  1. Q9Binomial point and cumulative probabilitiesDiscrete random variables and binomial assumptions6 marks
  2. Q10Tests for a Normal mean8 marks
  3. Q11Inverse Normal, standardisation and unknown parametersNormal distributions and calculator probabilities9 marks
  4. Q12Hypothesis tests for a binomial proportion4 marks
  5. Q13LDS investigation: sampling to a defensible conclusionScatter plots, regression and contextual interpretation10 marks
  6. Q14Conditional probability: trees, tables and sets7 marks

Every topic on OCR A-level Maths

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