OCR A-level Maths past papers

OCR A-level Maths November 2021 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, 40 minutes, marked line by line. Free, no account.

  • Separable differential equations and interpretation
  • Integration by substitution
  • Addition, double-angle and half-angle identities
  • Implicit differentiation and parametric curves
  • Reciprocal and inverse trig functions
Start the 40-minute set

What it tested

  • Pure100 marks
  1. Q1Quadratics: square form, discriminants and rootsInequalities and solution sets4 marks
  2. Q2Lines, gradients and perpendicularityLinear and quadratic simultaneous equations4 marks
  3. Q3Algebra entry check: indices, surds and exact values4 marks
  4. Q4Polynomial algebra and the factor theoremLogarithms and exponential equations7 marks
  5. Q5Shifts, stretches and reflectionsStationary points, optimisation and curvature7 marks
  6. Q6Rational binomial expansions and approximation9 marks
  7. Q7Newton-Raphson, failure cases and contextual rootsProduct, quotient and chain rules9 marks
  8. Q8Reciprocal and inverse trig functionsComposite/inverse functions and domain/range10 marks
4 more questions
  1. Q9Implicit differentiation and parametric curvesParametric models, tangents and parameter domains10 marks
  2. Q10Addition, double-angle and half-angle identitiesNon-right triangles and the ambiguous case11 marks
  3. Q11Integration by substitutionArea between curves and parametric areas12 marks
  4. Q12Separable differential equations and interpretationConnected rates and setting up differential equations13 marks

Every topic on OCR A-level Maths

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