OCR A-level Further Maths past papers

OCR A-level Further Maths June 2025 Y541

  • Y541
  • Pure Core 2
  • 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, 19 minutes, marked as you go. Free, no account.

  • Matrix arithmetic, identity and zero
  • Complex numbers and quadratic roots
  • Conjugate pairs and polynomial roots
  • Inverse matrices and singular matrices
  • The Argand diagram: modulus and argument
Start the 19-minute set

What it tested

  • Core Pure72 marks
  • Further Pure 13 marks
  1. Q1Vector and triple productsScalar products, perpendicularity and angles3 marks
  2. Q2Conjugate pairs and polynomial roots4 marks
  3. Q3Matrix arithmetic, identity and zeroInverse matrices and singular matrices9 marks
  4. Q4Standard sums and the method of differences4 marks
  5. Q5Complex numbers and quadratic rootsThe Argand diagram: modulus and argument6 marks
  6. Q6Polar areas and tangentsPolar coordinates and sketches6 marks
  7. Q7Partial fractions, inverse trig and substitution10 marks
  8. Q8Maclaurin series and validityHyperbolic calculus12 marks
2 more questions
  1. Q9Particular integrals and resonanceSecond-order equations: complementary functions13 marks
  2. Q10Hyperbolic functions and identities8 marks

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