AQA A-level Maths past papers

AQA A-level Maths June 2023 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.

  • Separable differential equations and interpretation
  • Definite integrals, areas and limiting strips
  • Implicit differentiation and parametric curves
  • Lines, gradients and perpendicularity
  • Reciprocal and inverse trig functions
Start the 37-minute set

What it tested

  • Pure100 marks
  1. Q1Integer binomial expansions and coefficients1 mark
  2. Q2Power, exponential and basic trig derivatives1 mark
  3. Q3Shifts, stretches and reflections1 mark
  4. Q4Small-angle approximations1 mark
  5. Q5Trapezium estimates and bounds4 marks
  6. Q6Logarithms and exponential equationsQuadratics: square form, discriminants and roots5 marks
  7. Q7Algebra entry check: indices, surds and exact values4 marks
  8. Q8Integration by parts, including repeated use6 marks
8 more questions
  1. Q9Lines, gradients and perpendicularityCircles, tangents and intersections9 marks
  2. Q10Trig identities and interval equationsUnit-circle trigonometry and periodic graphs8 marks
  3. Q11Recursive sequences, monotonicity, periodicity and sigma9 marks
  4. Q12R-sine/cosine forms and extremaPeriodic models and realistic domains8 marks
  5. Q13Reciprocal and inverse trig functionsNewton-Raphson, failure cases and contextual roots9 marks
  6. Q14Definite integrals, areas and limiting stripsGeometric progressions and convergence11 marks
  7. Q15Implicit differentiation and parametric curvesStationary points, optimisation and curvature9 marks
  8. Q16Separable differential equations and interpretationConnected rates and setting up differential equations14 marks

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