OCR A-level Further Maths past papers

OCR A-level Further Maths November 2021 Y540

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

Question paper, Mark scheme: on the OCR website.

Practise this paper's topics

5 new exam questions, 25 minutes, marked as you go. Free, no account.

  • Roots and coefficients, transformed roots
  • Loci and regions in the Argand diagram
  • Determinants, invariant points and invariant lines
  • De Moivre's theorem: identities and sums
  • Conjugate pairs and polynomial roots
Start the 25-minute set

What it tested

  • Core Pure75 marks
  1. Q1Loci and regions in the Argand diagram6 marks
  2. Q2Maclaurin series and validity8 marks
  3. Q3Roots and coefficients, transformed rootsConjugate pairs and polynomial roots8 marks
  4. Q4Intersections and shortest distancesScalar products, perpendicularity and angles11 marks
  5. Q5De Moivre's theorem: identities and sums4 marks
  6. Q6Volumes of revolution3 marks
  7. Q7Polar areas and tangentsPolar coordinates and sketches9 marks
  8. Q8Hyperbolic functions and identitiesHyperbolic calculus8 marks
3 more questions
  1. Q9Determinants, invariant points and invariant lines5 marks
  2. Q10Standard sums and the method of differences8 marks
  3. Q11Simple harmonic, damped and forced motionSecond-order equations: complementary functions5 marks

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