AQA A-level Maths past papers

AQA A-level Maths June 2018 Paper 1

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

Practise this paper's topics

5 new exam questions, 38 minutes, marked line by line. Free, no account.

  • Rational binomial expansions and approximation
  • Fixed-point iteration and staircase/cobweb diagrams
  • Polynomial algebra and the factor theorem
  • Stationary points, optimisation and curvature
  • Arithmetic progressions and proof of their sum
Start the 38-minute set

What it tested

  • Pure100 marks
  1. Q1Power, exponential and basic trig derivatives1 mark
  2. Q2Exponential graphs and transformationsShifts, stretches and reflections1 mark
  3. Q3Recursive sequences, monotonicity, periodicity and sigma1 mark
  4. Q4Composite/inverse functions and domain/rangeLogarithms and exponential equations3 marks
  5. Q5Implicit differentiation and parametric curves6 marks
  6. Q6Rational binomial expansions and approximationDefinite integrals, areas and limiting strips12 marks
  7. Q7Circles, tangents and intersectionsLines, gradients and perpendicularity8 marks
  8. Q8Radians, arc lengths and sector areasNewton-Raphson, failure cases and contextual roots8 marks
7 more questions
  1. Q9Arithmetic progressions and proof of their sumLinear and quadratic simultaneous equations9 marks
  2. Q10Exponential models and their parametersLogarithms and exponential equations8 marks
  3. Q11Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments10 marks
  4. Q12Polynomial algebra and the factor theoremReciprocal and inverse trig functions10 marks
  5. Q13Stationary points, optimisation and curvatureCircles, tangents and intersections10 marks
  6. Q14Addition, double-angle and half-angle identities7 marks
  7. Q15Derivatives from first principlesStationary points, optimisation and curvature6 marks

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