AQA A-level Maths past papers

AQA A-level Maths June 2022 Paper 1

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

Practise this paper's topics

5 new exam questions, 41 minutes, marked line by line. Free, no account.

  • Integration by substitution
  • Newton-Raphson, failure cases and contextual roots
  • Lines, gradients and perpendicularity
  • Implicit differentiation and parametric curves
  • Polynomial algebra and the factor theorem
Start the 41-minute set

What it tested

  • Pure100 marks
  1. Q1Implicit differentiation and parametric curves1 mark
  2. Q2Recursive sequences, monotonicity, periodicity and sigma1 mark
  3. Q3Shifts, stretches and reflections1 mark
  4. Q4Power, exponential and basic trig derivatives1 mark
  5. Q5Tangents, normals and increasing/decreasing intervalsProduct, quotient and chain rules3 marks
  6. Q6Small-angle approximationsRational binomial expansions and approximation6 marks
  7. Q7Reciprocal and inverse trig functionsShifts, stretches and reflections3 marks
  8. Q8Lines, gradients and perpendicularityCircles, tangents and intersections11 marks
7 more questions
  1. Q9Arithmetic progressions and proof of their sumInequalities and solution sets9 marks
  2. Q10Newton-Raphson, failure cases and contextual rootsRadians, arc lengths and sector areas12 marks
  3. Q11Polynomial algebra and the factor theoremQuadratics: square form, discriminants and roots10 marks
  4. Q12Geometric progressions and convergenceTrig identities and interval equations8 marks
  5. Q13Implicit differentiation and parametric curvesStationary points, optimisation and curvature9 marks
  6. Q14Integration by parts, including repeated useDefinite integrals, areas and limiting strips9 marks
  7. Q15Integration by substitutionReciprocal and inverse trig functions16 marks

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