AQA A-level Further Maths past papers

AQA A-level Further Maths June 2022 Paper 1

  • 7367/1
  • Compulsory content
  • 2 hours
  • 100 marks

Practise this paper's topics

5 new exam questions, 20 minutes, marked as you go. Free, no account.

  • Roots of unity and their geometry
  • Loci and regions in the Argand diagram
  • Inverse matrices and singular matrices
  • Conjugate pairs and polynomial roots
  • The Argand diagram: modulus and argument
Start the 20-minute set

What it tested

  • Core Pure99 marks
  • Further Pure 21 marks
  1. Q1Simple harmonic, damped and forced motion1 mark
  2. Q2The Argand diagram: modulus and argument1 mark
  3. Q3Hyperbolic calculus1 mark
  4. Q4Eigenvalues, diagonalisation and Cayley-Hamilton1 mark
  5. Q5Conjugate pairs and polynomial roots6 marks
  6. Q6Inverse hyperbolic functions as logarithmsHyperbolic functions and identities8 marks
  7. Q7Inverse matrices and singular matricesThree equations, three planes9 marks
  8. Q8Loci and regions in the Argand diagram11 marks
4 more questions
  1. Q9Polar areas and tangentsMatrices as transformations in 2D and 3D14 marks
  2. Q10Intersections and shortest distancesScalar products, perpendicularity and angles12 marks
  3. Q11Simple harmonic, damped and forced motionVariable forces and elastic SHM19 marks
  4. Q12Roots of unity and their geometryDe Moivre's theorem: identities and sums17 marks

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