OCR MEI A-level Maths past papers

OCR MEI A-level Maths November 2021 Paper 3

  • H640/03
  • Pure mathematics and comprehension
  • 2 hours
  • 75 marks

Question paper, Question paper, Insert, Mark scheme: on the OCR website.

Practise this paper's topics

5 new exam questions, 50 minutes, marked line by line. Free, no account.

  • Modulus graphs, equations and inequalities
  • Advanced trig equations and proofs
  • Separable differential equations and interpretation
  • Exponential models and their parameters
  • Linear and quadratic simultaneous equations
Start the 50-minute set

What it tested

  • Pure75 marks
  1. Q1Quadratics: square form, discriminants and rootsShifts, stretches and reflections5 marks
  2. Q2Trig identities and interval equations2 marks
  3. Q3Linear and quadratic simultaneous equations7 marks
  4. Q4Derivatives from first principlesTangents, normals and increasing/decreasing intervals3 marks
  5. Q5Exponential models and their parametersPower, exponential and basic trig derivatives8 marks
  6. Q6Recursive sequences, monotonicity, periodicity and sigmaAlgebra entry check: indices, surds and exact values4 marks
  7. Q7Integration by parts, including repeated use3 marks
  8. Q8Deduction, exhaustion and counterexamplesSketching polynomial and reciprocal graphs3 marks
7 more questions
  1. Q9Modulus graphs, equations and inequalitiesDefinite integrals, areas and limiting strips11 marks
  2. Q10Separable differential equations and interpretationRational expressions and partial fractions9 marks
  3. Q11Non-right triangles and the ambiguous caseAlgebra entry check: indices, surds and exact values5 marks
  4. Q12Reciprocal and inverse trig functionsNon-right triangles and the ambiguous case3 marks
  5. Q13Reciprocal and inverse trig functionsTangents, normals and increasing/decreasing intervals3 marks
  6. Q14Advanced trig equations and proofsAddition, double-angle and half-angle identities5 marks
  7. Q15Advanced trig equations and proofsAddition, double-angle and half-angle identities4 marks

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