OCR A-level Further Maths past papers

OCR A-level Further Maths June 2019 Y540

  • Y540
  • Pure Core 1
  • 1 hour 30 minutes
  • 75 marks

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

Practise this paper's topics

5 new exam questions, 24 minutes, marked as you go. Free, no account.

  • Roots of unity and their geometry
  • Three equations, three planes
  • Conjugate pairs and polynomial roots
  • Roots and coefficients, transformed roots
  • Loci and regions in the Argand diagram
Start the 24-minute set

What it tested

  • Core Pure75 marks
  1. Q1Roots and coefficients, transformed roots4 marks
  2. Q2Loci and regions in the Argand diagram3 marks
  3. Q3Conjugate pairs and polynomial roots4 marks
  4. Q4Standard sums and the method of differences3 marks
  5. Q5Hyperbolic functions and identitiesHyperbolic calculus7 marks
  6. Q6Partial fractions, inverse trig and substitution6 marks
  7. Q7Hyperbolic calculusHyperbolic functions and identities6 marks
  8. Q8Intersections and shortest distancesScalar products, perpendicularity and angles6 marks
3 more questions
  1. Q9Roots of unity and their geometryDe Moivre's theorem: identities and sums12 marks
  2. Q10Three equations, three planesInverse matrices and singular matrices11 marks
  3. Q11Particular integrals and resonanceSecond-order equations: complementary functions13 marks

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