OCR MEI A-level Maths past papers

OCR MEI A-level Maths June 2019 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, 50 minutes, marked line by line. Free, no account.

  • Tangents, normals and increasing/decreasing intervals
  • Circles, tangents and intersections
  • Composite/inverse functions and domain/range
  • Implicit differentiation and parametric curves
  • Integration by substitution
Start the 50-minute set

What it tested

  • Pure75 marks
  1. Q1Composite/inverse functions and domain/rangeInequalities and solution sets6 marks
  2. Q2Shifts, stretches and reflectionsQuadratics: square form, discriminants and roots5 marks
  3. Q3Rational expressions and partial fractionsRational integration and logarithmic forms6 marks
  4. Q4Algebra entry check: indices, surds and exact values3 marks
  5. Q5Contradiction and first-principles proof clinic3 marks
  6. Q6Circles, tangents and intersectionsVectors: components, position and subtraction7 marks
  7. Q7Logarithms and exponential equationsInequalities and solution sets4 marks
  8. Q8Tangents, normals and increasing/decreasing intervalsArea between curves and parametric areas10 marks
7 more questions
  1. Q9Implicit differentiation and parametric curvesTangents, normals and increasing/decreasing intervals6 marks
  2. Q10Product, quotient and chain rulesTangents, normals and increasing/decreasing intervals4 marks
  3. Q11Integration by substitution6 marks
  4. Q12Lines, gradients and perpendicularity2 marks
  5. Q13Radians, arc lengths and sector areasPure paper workshop: modelling and numerical reasoning6 marks
  6. Q14Definite integrals, areas and limiting stripsAntiderivatives and the fundamental theorem4 marks
  7. Q15Pure paper workshop: modelling and numerical reasoning3 marks

Every topic on OCR MEI A-level Maths

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