Topical revision checklist for AQA UK GCSE (9–1) Mathematics — specification 8300. Track confidence for each topic and sub-topic; aligned to 2026 specification headings. Rate your confidence (1–5) for each specification topic.
Start from the official AQA GCSE resource page (notes, videos, practice questions, AI quizzes), or open this subject’s topic dashboard and past papers. Below are portal links for each AQA GCSE course we host (also listed in our Past Paper Finder).
| Topic | Sub-topic | Resources | Confidence (1–5) | Last reviewed | Next review |
|---|---|---|---|---|---|
| 1. Number | Place value; ordering positive and negative numbers; four operations | ||||
| 1. Number | Prime numbers; prime factorisation; HCF and LCM | ||||
| 1. Number | Powers and roots; index laws (integer indices); standard form a × 10^n | ||||
| 1. Number | Calculations with standard form (without calculator where specified) | ||||
| 1. Number | Fractions: four operations; mixed numbers; ordering | ||||
| 1. Number | Fractions ↔ decimals ↔ percentages; recurring decimals (Higher) | ||||
| 1. Number | Percentages: of amounts, change, reverse percentages, multipliers | ||||
| 1. Number | Rounding and estimation; significant figures; error intervals | ||||
| 1. Number | Lower and upper bounds; truncated values (Higher) | ||||
| 1. Number | Calculator skills: π, powers, roots, memory keys | ||||
| 2. Algebra | Algebraic notation; substitution; collecting like terms; expanding brackets | ||||
| 2. Algebra | Factorising: common factors, quadratics, difference of two squares (Higher) | ||||
| 2. Algebra | Linear equations; equations with brackets and fractions | ||||
| 2. Algebra | Simultaneous equations: elimination and substitution (linear–linear; linear–quadratic Higher) | ||||
| 2. Algebra | Quadratic equations: factorising, completing the square, formula (Higher) | ||||
| 2. Algebra | Linear and quadratic inequalities; graphical representation (Higher) | ||||
| 2. Algebra | Sequences: nth term for linear; quadratic sequences (Higher) | ||||
| 2. Algebra | Straight-line graphs: y = mx + c; gradient and intercept | ||||
| 2. Algebra | Quadratic, cubic, reciprocal graphs; identifying roots and turning points | ||||
| 2. Algebra | Real-life graphs: distance–time, velocity–time, conversion graphs | ||||
| 2. Algebra | Direct and inverse proportion: y = kx, y = k/x; algebraic proportion problems | ||||
| 2. Algebra | Functions: input/output; composite functions; inverse (Higher) | ||||
| 2. Algebra | Transformations of graphs: translations, stretches (Higher) | ||||
| 3. Ratio, proportion and rates of change | Simplifying ratios; dividing by ratio; ratio in recipes and best buys | ||||
| 3. Ratio, proportion and rates of change | Ratio and fractions; 1:n and n:1 notation | ||||
| 3. Ratio, proportion and rates of change | Percentage change; repeated percentage change | ||||
| 3. Ratio, proportion and rates of change | Direct proportion: graphs through origin; k = y/x | ||||
| 3. Ratio, proportion and rates of change | Inverse proportion: y = k/x graphs | ||||
| 3. Ratio, proportion and rates of change | Compound measures: speed, density, pressure; unit conversions | ||||
| 3. Ratio, proportion and rates of change | Growth and decay: compound interest, depreciation; iterative sequences (Higher) | ||||
| 4. Geometry and measures | Geometric terminology: parallel, perpendicular, polygon names | ||||
| 4. Geometry and measures | Angle facts: parallel lines, angles in triangle, quadrilateral, polygon | ||||
| 4. Geometry and measures | Constructions with ruler and compasses: perpendicular bisector, angle bisector | ||||
| 4. Geometry and measures | Loci and regions (Higher) | ||||
| 4. Geometry and measures | Circle definitions: radius, diameter, chord, tangent, arc, sector | ||||
| 4. Geometry and measures | Circle theorems and proofs (Higher) | ||||
| 4. Geometry and measures | Pythagoras in 2D; 3D coordinates and distance (Higher) | ||||
| 4. Geometry and measures | Trigonometry: sin, cos, tan in right-angled triangles; exact values (Higher) | ||||
| 4. Geometry and measures | Sine and cosine rules; area = ½ab sin C (Higher) | ||||
| 4. Geometry and measures | Perimeter and area: rectangles, triangles, circles, parallelograms, trapeziums, composite | ||||
| 4. Geometry and measures | Surface area and volume: prisms, cylinders, pyramids, cones, spheres (Higher) | ||||
| 4. Geometry and measures | Similarity: lengths, areas, volumes scale factors | ||||
| 4. Geometry and measures | Vectors: notation, addition, scalar multiplication; geometric problems (Higher) | ||||
| 4. Geometry and measures | Bearings and scale drawings | ||||
| 5. Probability | Experimental probability; relative frequency from tables | ||||
| 5. Probability | Theoretical probability: sample space; P(A) + P(A′) = 1 | ||||
| 5. Probability | Mutually exclusive and independent events | ||||
| 5. Probability | Tree diagrams for two or more events | ||||
| 5. Probability | Venn diagrams (Higher) | ||||
| 5. Probability | Conditional probability (Higher) | ||||
| 5. Probability | Expected frequency from probability | ||||
| 6. Statistics | Sampling: random, stratified; bias and limitations | ||||
| 6. Statistics | Data collection: questionnaires; types of data | ||||
| 6. Statistics | Bar charts, pie charts, pictograms, frequency tables | ||||
| 6. Statistics | Stem-and-leaf; frequency polygons; cumulative frequency curves | ||||
| 6. Statistics | Histograms with equal and unequal class widths (Higher) | ||||
| 6. Statistics | Mean, median, mode; range and interquartile range; box plots (Higher) | ||||
| 6. Statistics | Comparing distributions: spread, skew, outliers | ||||
| 6. Statistics | Scatter graphs; lines of best fit; correlation vs causation | ||||
| 6. Statistics | Time series (introductory) |
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 GCSE (9–1) Mathematics 8300 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.
8–12 weeks of focused revision, covering 1–2 topic groups per week with weekly past-paper practice, is realistic for most GCSE / IGCSE 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 GCSE (9–1) Mathematics 8300 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.