OCR A-level Further Maths past papers

OCR A-level Further Maths June 2024 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, 25 minutes, marked as you go. Free, no account.

  • Determinants, invariant points and invariant lines
  • Loci and regions in the Argand diagram
  • Induction for sums and divisibility
  • Roots and coefficients, transformed roots
  • Matrix arithmetic, identity and zero
Start the 25-minute set

What it tested

  • Core Pure75 marks
  1. Q1Partial fractions, inverse trig and substitution3 marks
  2. Q2Loci and regions in the Argand diagram8 marks
  3. Q3Determinants, invariant points and invariant linesMatrix arithmetic, identity and zero8 marks
  4. Q4Roots and coefficients, transformed roots3 marks
  5. Q5Partial fractions, inverse trig and substitution5 marks
  6. Q6Partial fractions, inverse trig and substitution4 marks
  7. Q7Hyperbolic calculusInverse hyperbolic functions as logarithms9 marks
  8. Q8Induction for sums and divisibility5 marks
4 more questions
  1. Q9Maclaurin series and validity6 marks
  2. Q10Integrating factors and initial conditionsBuilding first-order models10 marks
  3. Q11Intersections and shortest distancesLines and planes in three dimensions7 marks
  4. Q12Polar areas and tangents7 marks

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