AQA A-level Maths past papers

AQA A-level Maths June 2019 Paper 1

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

Practise this paper's topics

5 new exam questions, 40 minutes, marked line by line. Free, no account.

  • Definite integrals, areas and limiting strips
  • Fixed-point iteration and staircase/cobweb diagrams
  • Parametric models, tangents and parameter domains
  • Trapezium estimates and bounds
  • Composite/inverse functions and domain/range
Start the 40-minute set

What it tested

  • Pure100 marks
  1. Q1Logarithms and exponential equations1 mark
  2. Q2Power, exponential and basic trig derivatives1 mark
  3. Q3Radians, arc lengths and sector areas1 mark
  4. Q4Lines, gradients and perpendicularity4 marks
  5. Q5Arithmetic progressions and proof of their sum7 marks
  6. Q6Composite/inverse functions and domain/rangeShifts, stretches and reflections8 marks
  7. Q7Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments11 marks
  8. Q8Recursive sequences, monotonicity, periodicity and sigma4 marks
8 more questions
  1. Q9Contradiction and first-principles proof clinic5 marks
  2. Q10Connected rates and setting up differential equations4 marks
  3. Q11Derivatives from first principles4 marks
  4. Q12Reciprocal and inverse trig functionsAdvanced trig equations and proofs7 marks
  5. Q13Product, quotient and chain rulesStationary points, optimisation and curvature7 marks
  6. Q14Trapezium estimates and boundsRational integration and logarithmic forms10 marks
  7. Q15Parametric models, tangents and parameter domainsStationary points, optimisation and curvature10 marks
  8. Q16Definite integrals, areas and limiting stripsGeometric progressions and convergence16 marks

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