OCR A-level Maths past papers

OCR A-level Maths June 2025 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, 36 minutes, marked line by line. Free, no account.

  • Exponential graphs and transformations
  • Separable differential equations and interpretation
  • R-sine/cosine forms and extrema
  • Rational binomial expansions and approximation
  • Implicit differentiation and parametric curves
Start the 36-minute set

What it tested

  • Pure100 marks
  1. Q1Algebra entry check: indices, surds and exact values8 marks
  2. Q2Stationary points, optimisation and curvatureSketching polynomial and reciprocal graphs4 marks
  3. Q3Recursive sequences, monotonicity, periodicity and sigmaGeometric progressions and convergence6 marks
  4. Q4Magnitude, direction and vector geometryVectors: components, position and subtraction7 marks
  5. Q5Lines, gradients and perpendicularityLinear and quadratic simultaneous equations8 marks
  6. Q6Radians, arc lengths and sector areasNon-right triangles and the ambiguous case8 marks
  7. Q7Implicit differentiation and parametric curvesPolynomial algebra and the factor theorem9 marks
  8. Q8Rational binomial expansions and approximation10 marks
4 more questions
  1. Q9R-sine/cosine forms and extremaAdvanced trig equations and proofs10 marks
  2. Q10Exponential graphs and transformationsDefinite integrals, areas and limiting strips12 marks
  3. Q11Contradiction and first-principles proof clinic7 marks
  4. Q12Separable differential equations and interpretationRational expressions and partial fractions11 marks

Every topic on OCR A-level Maths

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