Topical revision checklist for AQA UK GCE A Level Mathematics — specification 7357. Track confidence for each topic and sub-topic; aligned to 2026 specification headings. Rate your confidence (1–5) for each specification topic.
| Topic | Sub-topic | Resources | Confidence (1–5) | Last reviewed | Next review |
|---|---|---|---|---|---|
| Pure: Proof and algebra | Proof by deduction, exhaustion, contradiction (as specified) | ||||
| Pure: Proof and algebra | Indices and surds; rationalising denominators | ||||
| Pure: Proof and algebra | Quadratic equations; discriminant; completing the square | ||||
| Pure: Proof and algebra | Simultaneous equations (linear–quadratic) | ||||
| Pure: Proof and algebra | Inequalities on a line and in two dimensions | ||||
| Pure: Proof and algebra | Partial fractions for rational expressions | ||||
| Pure: Functions and graphs | Domain and range; one-to-one functions | ||||
| Pure: Functions and graphs | Inverse functions; graph of inverse | ||||
| Pure: Functions and graphs | Composite functions f(g(x)) | ||||
| Pure: Functions and graphs | Modulus functions and graphs | ||||
| Pure: Functions and graphs | Transformations: translations, stretches, reflections | ||||
| Pure: Functions and graphs | Piecewise functions (introductory) | ||||
| Pure: Coordinate geometry | Straight lines: parallel, perpendicular, distance | ||||
| Pure: Coordinate geometry | Equation of a circle; completing the square | ||||
| Pure: Coordinate geometry | Tangents and normals to circles | ||||
| Pure: Coordinate geometry | Parametric equations of curves (as specified) | ||||
| Pure: Sequences and series | Arithmetic sequences: nth term and sum | ||||
| Pure: Sequences and series | Geometric sequences: infinite sum |r| < 1 | ||||
| Pure: Sequences and series | Sigma notation | ||||
| Pure: Sequences and series | Binomial expansion: positive integer n; general n (as specified) | ||||
| Pure: Trigonometry | Radian measure; arc length s = rθ; sector area | ||||
| Pure: Trigonometry | Trig ratios; exact values for key angles | ||||
| Pure: Trigonometry | Identities: Pythagorean, addition, double-angle | ||||
| Pure: Trigonometry | Solving trig equations in an interval | ||||
| Pure: Trigonometry | Small-angle approximations: sin θ, cos θ, tan θ | ||||
| Pure: Exponentials and logarithms | Laws of logarithms; change of base | ||||
| Pure: Exponentials and logarithms | Exponential growth and decay models | ||||
| Pure: Exponentials and logarithms | Natural logarithm ln x; e^x and its derivative | ||||
| Pure: Exponentials and logarithms | Modelling data with exponentials | ||||
| Pure: Differentiation | Differentiation from first principles for x^n | ||||
| Pure: Differentiation | Polynomials, trig, e^x, ln x | ||||
| Pure: Differentiation | Chain, product, quotient rules | ||||
| Pure: Differentiation | Implicit and parametric differentiation (as specified) | ||||
| Pure: Differentiation | Second derivatives; concavity | ||||
| Pure: Differentiation | Connected rates of change | ||||
| Pure: Differentiation | Tangents and normals | ||||
| Pure: Integration | Integration as reverse of differentiation | ||||
| Pure: Integration | Definite integrals; area under curve | ||||
| Pure: Integration | Area between curves | ||||
| Pure: Integration | Integration by substitution and by parts (as specified) | ||||
| Pure: Integration | Partial fractions in integration (as specified) | ||||
| Pure: Integration | Differential equations: separable (as specified) | ||||
| Pure: Numerical methods | Locating roots by sign change | ||||
| Pure: Numerical methods | Iteration: x_{n+1} = g(x_n); convergence | ||||
| Pure: Numerical methods | Trapezium rule; over/underestimate | ||||
| Pure: Vectors | Vectors in 2D and 3D; magnitude and direction | ||||
| Pure: Vectors | Scalar product a·b; angle between vectors | ||||
| Pure: Vectors | Equation of a line in 3D | ||||
| Pure: Vectors | Shortest distance (as specified) | ||||
| Statistics | Sampling: simple random, stratified, opportunity | ||||
| Statistics | Histograms, box plots, cumulative frequency | ||||
| Statistics | Linear regression; correlation coefficient | ||||
| Statistics | Probability; tree diagrams | ||||
| Statistics | Statistical distributions: Binomial, Normal (as specified) | ||||
| Statistics | Hypothesis testing: mean of Normal distribution, correlation | ||||
| Mechanics | Kinematics: constant acceleration; suvat in one dimension | ||||
| Mechanics | Vertical motion under gravity | ||||
| Mechanics | Forces; Newton’s laws; weight | ||||
| Mechanics | Connected particles; pulleys | ||||
| Mechanics | Friction and limiting equilibrium | ||||
| Mechanics | Moments; rods in equilibrium | ||||
| Mechanics | Projectiles (as specified) |
Use with our Past Paper Finder for exam practice. Always cross-check topic coverage with your school’s route and the official board specification.
Quick answers about this free revision checklist, how to use it for exam prep, and how it relates to the official syllabus.
This revision checklist mirrors the official AQA UK GCE A Level Mathematics 7357 syllabus for the 2026 examination series. Every topic and sub-topic on the page is taken from the published syllabus document, so working through the list in order gives you full coverage of what your exam can assess. For the authoritative version, always cross-check with the latest syllabus PDF on your exam board's website before your final revision push.
The number of top-level topic groups varies by subject, but you can see the exact count on this page — each major heading in the checklist corresponds to one syllabus topic group, and each row below it is a syllabus-level sub-topic. Use the confidence column (1–5) to flag which sub-topics need more work, and re-score yourself weekly to track real progress instead of guessing.
12–16 weeks of focused revision, working through one topic group per week with weekly past-paper practice, is a realistic target for most A Level students. Use this checklist to plan your weeks: filter by topics you have rated 1–3 and spend your first revision block there. Subjects with heavy practical or extended-writing components (e.g. sciences, English) need more past-paper time in the final block than the topic-by-topic phase.
Revise in roughly the order the syllabus lists the topics — exam boards build later topics on earlier ones, so taking them in syllabus order avoids gaps. Once you have rated every topic, switch to weakest-first: filter the checklist by confidence ≤ 2 and prioritise those topics in your next study block. This is more effective than re-revising topics you already score 4–5 on.
You can find past papers and mark schemes via Tutopiya's Past Paper Finder and on your exam board's official site. Once you have rated each sub-topic on this checklist, attempt past-paper questions on your weakest topics first — practising under timed conditions is the single best predictor of exam performance, more so than re-reading notes.
Use the Download CSV or Print PDF button at the bottom of the checklist. CSV opens in Excel, Numbers or Google Sheets so you can sort by confidence and re-arrange revision order. The PDF is print-ready for offline use. A free Tutopiya account is required for download — this also unlocks the matching topic resources, notes and worked examples on the Learning Portal.
Yes, the checklist itself is free — you can view, score and re-score every topic on this page without an account. The CSV / PDF downloads and access to matching Tutopiya Learning Portal resources require a free account. There is no payment required at any point; teachers and parents can also use this checklist freely with their students.
Yes. The topics and sub-topics on this page are drawn from the current 2026 AQA UK GCE A Level Mathematics 7357 specification published by AQA. Exam boards occasionally tweak weighting or assessment structure mid-cycle, so do a quick sanity-check against the official syllabus PDF when you start your revision and again 4 weeks before the exam.