AQA A-level Further Maths past papers

AQA A-level Further Maths June 2025 Paper 1

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

Practise this paper's topics

5 new exam questions, 29 minutes, marked as you go. Free, no account.

  • Three equations, three planes
  • Conjugate pairs and polynomial roots
  • Induction for sums and divisibility
  • Roots and coefficients, transformed roots
  • The Argand diagram: modulus and argument
Start the 29-minute set

What it tested

  • Core Pure69 marks
  • Further Pure 220 marks
  • Further Pure 111 marks
  1. Q1Complex numbers and quadratic roots1 mark
  2. Q2The Argand diagram: modulus and argument1 mark
  3. Q3Leibniz, L'Hopital and the t-substitution1 mark
  4. Q4Hyperbolic functions and identities1 mark
  5. Q5The Argand diagram: modulus and argument3 marks
  6. Q6Numerical methods and inequalities3 marks
  7. Q7Roots and coefficients, transformed roots4 marks
  8. Q8Conics: eccentricity, foci and directrices3 marks
10 more questions
  1. Q9Vector and triple productsScalar products, perpendicularity and angles4 marks
  2. Q10Induction for sums and divisibility4 marks
  3. Q11Maclaurin series and validity7 marks
  4. Q12Eigenvalues, diagonalisation and Cayley-HamiltonDeterminants, invariant points and invariant lines13 marks
  5. Q13Conjugate pairs and polynomial rootsRoots and coefficients, transformed roots7 marks
  6. Q14Inverse hyperbolic functions as logarithms6 marks
  7. Q15Three equations, three planesIntersections and shortest distances9 marks
  8. Q16Reduction formulae, arc length and surface area7 marks
  9. Q17Simple harmonic, damped and forced motionSecond-order equations: complementary functions11 marks
  10. Q18Hyperbolic calculusInverse hyperbolic functions as logarithms15 marks

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