AQA A-level Maths past papers

AQA A-level Maths June 2025 Paper 1

  • 7357/1
  • Pure mathematics
  • 2 hours
  • 100 marks

Practise this paper's topics

5 new exam questions, 37 minutes, marked line by line. Free, no account.

  • Implicit differentiation and parametric curves
  • Linearising power/exponential models with logs
  • Newton-Raphson, failure cases and contextual roots
  • Geometric progressions and convergence
  • Separable differential equations and interpretation
Start the 37-minute set

What it tested

  • Pure100 marks
  1. Q1Power, exponential and basic trig derivatives1 mark
  2. Q2Recursive sequences, monotonicity, periodicity and sigmaGeometric progressions and convergence1 mark
  3. Q3Logarithms and exponential equations1 mark
  4. Q4Rational binomial expansions and approximation2 marks
  5. Q5Antiderivatives and the fundamental theorem3 marks
  6. Q6Arithmetic progressions and proof of their sum2 marks
  7. Q7Exponential graphs and transformations2 marks
  8. Q8Small-angle approximationsRational binomial expansions and approximation5 marks
9 more questions
  1. Q9Geometric progressions and convergenceQuadratics: square form, discriminants and roots10 marks
  2. Q10Linearising power/exponential models with logsExponential models and their parameters12 marks
  3. Q11Implicit differentiation and parametric curvesStationary points, optimisation and curvature7 marks
  4. Q12Composite/inverse functions and domain/range8 marks
  5. Q13Implicit differentiation and parametric curvesParametric models, tangents and parameter domains9 marks
  6. Q14Integration by parts, including repeated useDefinite integrals, areas and limiting strips8 marks
  7. Q15Newton-Raphson, failure cases and contextual rootsStationary points, optimisation and curvature12 marks
  8. Q16Addition, double-angle and half-angle identitiesNon-right triangles and the ambiguous case7 marks
  9. Q17Separable differential equations and interpretationIntegration by substitution10 marks

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