OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2024 Paper 3

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

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

Practise this paper's topics

5 new exam questions, 48 minutes, marked line by line. Free, no account.

  • Tangents, normals and increasing/decreasing intervals
  • Implicit differentiation and parametric curves
  • Newton-Raphson, failure cases and contextual roots
  • R-sine/cosine forms and extrema
  • Bracketing roots and failure of sign-change arguments
Start the 48-minute set

What it tested

  • Pure75 marks
  1. Q1Inequalities and solution sets2 marks
  2. Q2Composite/inverse functions and domain/range4 marks
  3. Q3Definite integrals, areas and limiting strips4 marks
  4. Q4Algebra entry check: indices, surds and exact values2 marks
  5. Q5Integration by substitutionRational integration and logarithmic forms6 marks
  6. Q6Reciprocal and inverse trig functionsTrig identities and interval equations5 marks
  7. Q7Addition, double-angle and half-angle identitiesAdvanced trig equations and proofs3 marks
  8. Q8R-sine/cosine forms and extremaAdvanced trig equations and proofs8 marks
10 more questions
  1. Q9Bracketing roots and failure of sign-change arguments6 marks
  2. Q10Tangents, normals and increasing/decreasing intervals3 marks
  3. Q11Newton-Raphson, failure cases and contextual rootsProduct, quotient and chain rules8 marks
  4. Q12Implicit differentiation and parametric curvesStationary points, optimisation and curvature9 marks
  5. Q13Tangents, normals and increasing/decreasing intervals1 mark
  6. Q14Tangents, normals and increasing/decreasing intervals1 mark
  7. Q15Tangents, normals and increasing/decreasing intervalsLines, gradients and perpendicularity6 marks
  8. Q16Polynomial algebra and the factor theorem2 marks
  9. Q17Tangents, normals and increasing/decreasing intervalsLines, gradients and perpendicularity3 marks
  10. Q18Tangents, normals and increasing/decreasing intervals2 marks

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