OCR A-level Further Maths past papers

OCR A-level Further Maths November 2021 Y541

  • Y541
  • Pure Core 2
  • 1 hour 30 minutes
  • 75 marks

Question paper, Mark scheme: on the OCR website.

Practise this paper's topics

5 new exam questions, 17 minutes, marked as you go. Free, no account.

  • Complex numbers and quadratic roots
  • Induction for matrix powers
  • Matrices as transformations in 2D and 3D
  • Matrix arithmetic, identity and zero
  • Determinants, invariant points and invariant lines
Start the 17-minute set

What it tested

  • Core Pure75 marks
  1. Q1Matrix arithmetic, identity and zero3 marks
  2. Q2Complex numbers and quadratic rootsThe Argand diagram: modulus and argument8 marks
  3. Q3Scalar products, perpendicularity and anglesIntersections and shortest distances9 marks
  4. Q4Standard sums and the method of differences3 marks
  5. Q5Hyperbolic functions and identitiesInverse hyperbolic functions as logarithms8 marks
  6. Q6Matrices as transformations in 2D and 3DDeterminants, invariant points and invariant lines6 marks
  7. Q7Partial fractions, inverse trig and substitution10 marks
  8. Q8Integrating factors and initial conditionsBuilding first-order models16 marks
2 more questions
  1. Q9Induction for matrix powers6 marks
  2. Q10Maclaurin series and validityNumerical methods and inequalities6 marks

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