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.