OCR A-level Maths past papers

OCR A-level Maths November 2020 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, 38 minutes, marked line by line. Free, no account.

  • Integration by substitution
  • Sequences and series as financial/physical models
  • Circles, tangents and intersections
  • Stationary points, optimisation and curvature
  • Linearising power/exponential models with logs
Start the 38-minute set

What it tested

  • Pure100 marks
  1. Q1Small-angle approximations5 marks
  2. Q2Algebra entry check: indices, surds and exact values8 marks
  3. Q3Stationary points, optimisation and curvaturePower, exponential and basic trig derivatives10 marks
  4. Q4Contradiction and first-principles proof clinic3 marks
  5. Q5Magnitude, direction and vector geometryVectors: components, position and subtraction8 marks
  6. Q6Linearising power/exponential models with logsExponential models and their parameters9 marks
  7. Q7Sequences and series as financial/physical modelsFixed-point iteration and staircase/cobweb diagrams11 marks
  8. Q8Product, quotient and chain rulesTangents, normals and increasing/decreasing intervals7 marks
4 more questions
  1. Q9Modulus graphs, equations and inequalitiesInequalities and solution sets9 marks
  2. Q10Integration by substitutionIntegration by parts, including repeated use11 marks
  3. Q11Circles, tangents and intersectionsQuadratics: square form, discriminants and roots10 marks
  4. Q12Separable differential equations and interpretationRational expressions and partial fractions9 marks

Every topic on OCR A-level Maths

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