OCR A-level Maths past papers

OCR A-level Maths June 2025 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, 28 minutes, marked line by line. Free, no account.

  • Histograms, box plots and cumulative frequency
  • Quadratics: square form, discriminants and roots
  • Tests for a Normal mean
  • Circles, tangents and intersections
  • Hypothesis tests for a binomial proportion
Start the 28-minute set

What it tested

  • Pure50 marks
  • Statistics50 marks
  1. Q1Inequalities and solution setsQuadratics: square form, discriminants and roots3 marks
  2. Q2Quadratics: square form, discriminants and rootsAlgebra entry check: indices, surds and exact values9 marks
  3. Q3Trapezium estimates and boundsDefinite integrals, areas and limiting strips7 marks
  4. Q4Addition, double-angle and half-angle identitiesAdvanced trig equations and proofs6 marks
  5. Q5Circles, tangents and intersectionsLinear and quadratic simultaneous equations8 marks
  6. Q6Stationary points, optimisation and curvaturePower, exponential and basic trig derivatives7 marks
  7. Q7Arithmetic progressions and proof of their sumGeometric progressions and convergence5 marks
  8. Q8Integration by parts, including repeated useRational integration and logarithmic forms5 marks
7 more questions
  1. Q9Histograms, box plots and cumulative frequencyVariance, standard deviation and coding11 marks
  2. Q10Binomial point and cumulative probabilitiesNormal distributions and calculator probabilities5 marks
  3. Q11Hypothesis tests for a binomial proportionDiscrete random variables and binomial assumptions8 marks
  4. Q12Sample spaces, exclusivity and independenceConditional probability: trees, tables and sets7 marks
  5. Q13LDS investigation: sampling to a defensible conclusionMeet the LDS: locations, units and cleaning6 marks
  6. Q14Tests for a Normal meanNormal distributions and calculator probabilities9 marks
  7. Q15Discrete random variables and binomial assumptionsSample spaces, exclusivity and independence4 marks

Every topic on OCR A-level Maths

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