OCR A-level Further Maths past papers

OCR A-level Further Maths November 2020 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, 18 minutes, marked as you go. Free, no account.

  • Exponential form and nth roots
  • Matrices as transformations in 2D and 3D
  • Roots and coefficients, transformed roots
  • Complex numbers and quadratic roots
  • Determinants, invariant points and invariant lines
Start the 18-minute set

What it tested

  • Core Pure75 marks
  1. Q1Complex numbers and quadratic rootsThe Argand diagram: modulus and argument5 marks
  2. Q2Roots and coefficients, transformed roots6 marks
  3. Q3Standard sums and the method of differencesPartial fractions, inverse trig and substitution6 marks
  4. Q4Intersections and shortest distancesLines and planes in three dimensions9 marks
  5. Q5Second-order equations: complementary functions7 marks
  6. Q6Polar areas and tangentsPolar coordinates and sketches6 marks
  7. Q7Matrices as transformations in 2D and 3DDeterminants, invariant points and invariant lines6 marks
  8. Q8Exponential form and nth rootsThe Argand diagram: modulus and argument9 marks
2 more questions
  1. Q9Hyperbolic functions and identitiesInverse hyperbolic functions as logarithms11 marks
  2. Q10Maclaurin series and validityPartial fractions, inverse trig and substitution10 marks

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