AQA A-level Maths June 2024 Paper 1
- 7357/1
- Pure mathematics
- 2 hours
- 100 marks
Practise this paper's topics
5 new exam questions, 42 minutes, marked line by line. Free, no account.
- Integration by substitution
- Fixed-point iteration and staircase/cobweb diagrams
- Separable differential equations and interpretation
- Composite/inverse functions and domain/range
- Implicit differentiation and parametric curves
What it tested
- Pure100 marks
- Q1Polynomial algebra and the factor theorem1 mark
- Q2Composite/inverse functions and domain/range1 mark
- Q3Rational expressions and partial fractions1 mark
- Q4Reciprocal and inverse trig functions1 mark
- Q5Trig identities and interval equations3 marks
- Q6Product, quotient and chain rules2 marks
- Q7Algebra entry check: indices, surds and exact values4 marks
- Q8Integer binomial expansions and coefficients5 marks
12 more questions
- Q9Small-angle approximations5 marks
- Q10Arithmetic progressions and proof of their sumSequences and series as financial/physical models6 marks
- Q11Sketching polynomial and reciprocal graphsShifts, stretches and reflections5 marks
- Q12Recursive sequences, monotonicity, periodicity and sigma5 marks
- Q13Polynomial algebra and the factor theoremDeduction, exhaustion and counterexamples6 marks
- Q14Fixed-point iteration and staircase/cobweb diagramsBracketing roots and failure of sign-change arguments10 marks
- Q15Advanced trig equations and proofsAddition, double-angle and half-angle identities6 marks
- Q16Trapezium estimates and bounds5 marks
- Q17Composite/inverse functions and domain/rangeModulus graphs, equations and inequalities6 marks
- Q18Integration by substitutionDefinite integrals, areas and limiting strips11 marks
- Q19Implicit differentiation and parametric curvesStationary points, optimisation and curvature7 marks
- Q20Separable differential equations and interpretationConnected rates and setting up differential equations10 marks
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