OCR A-level Further Maths past papers

OCR A-level Further Maths June 2025 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, 20 minutes, marked as you go. Free, no account.

  • De Moivre's theorem: identities and sums
  • Roots and coefficients, transformed roots
  • Three equations, three planes
  • Exponential form and nth roots
  • Matrices as transformations in 2D and 3D
Start the 20-minute set

What it tested

  • Core Pure75 marks
  1. Q1Matrices as transformations in 2D and 3D4 marks
  2. Q2Hyperbolic calculusInverse hyperbolic functions as logarithms5 marks
  3. Q3Partial fractions, inverse trig and substitutionVolumes of revolution6 marks
  4. Q4Roots and coefficients, transformed roots9 marks
  5. Q5Three equations, three planesInverse matrices and singular matrices8 marks
  6. Q6Standard sums and the method of differences8 marks
  7. Q7Intersections and shortest distances8 marks
  8. Q8Exponential form and nth rootsThe Argand diagram: modulus and argument7 marks
2 more questions
  1. Q9Simple harmonic, damped and forced motionSecond-order equations: complementary functions9 marks
  2. Q10De Moivre's theorem: identities and sumst-formulae, identities and equations11 marks

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