OCR A-level Further Maths past papers

OCR A-level Further Maths November 2020 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, 24 minutes, marked as you go. Free, no account.

  • Conjugate pairs and polynomial roots
  • De Moivre's theorem: identities and sums
  • Induction for sums and divisibility
  • Matrices as transformations in 2D and 3D
  • Exponential form and nth roots
Start the 24-minute set

What it tested

  • Core Pure75 marks
  1. Q1Improper integrals and mean values2 marks
  2. Q2Standard sums and the method of differences3 marks
  3. Q3Matrices as transformations in 2D and 3DMatrix arithmetic, identity and zero5 marks
  4. Q4Exponential form and nth rootsThe Argand diagram: modulus and argument4 marks
  5. Q5De Moivre's theorem: identities and sums5 marks
  6. Q6Intersections and shortest distances5 marks
  7. Q7Induction for sums and divisibility5 marks
  8. Q8Integration with hyperbolic substitutionsHyperbolic functions and identities10 marks
4 more questions
  1. Q9Conjugate pairs and polynomial rootsDe Moivre's theorem: identities and sums9 marks
  2. Q10Integrating factors and initial conditionsBuilding first-order models13 marks
  3. Q11Polar coordinates and sketches8 marks
  4. Q12Partial fractions, inverse trig and substitution6 marks

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