Pass an Exam Specification map · free topic guides
GCSE Maths topics
GCSE Maths is organised into six connected areas. Use this complete planning list to see the breadth of the course, then open the linked guides for beginner-first explanations, worked examples and original practice.
Use the topic list to find the next dependency
- Start with a diagnostic question or recent marked paper.
- Name the precise skill that caused the lost mark.
- Repair its prerequisite before attempting harder variants.
- Return to mixed questions so you must choose the method yourself.
Tier note: Higher includes additional content, but topic names alone do not always show the boundary. Use your exam board specification and the tier labels inside each detailed guide.
Full planning map
GCSE Maths topics by area
Number
Represent, calculate with and reason about numbers in exact and approximate forms.
14 clusters- Four operationsRevision checklist
- BIDMASRevision checklist
- FractionsOpen guide →
- PercentagesOpen guide →
- IndicesOpen guide →
- Fractional indicesRevision checklist
- Standard formOpen guide →
- SurdsOpen guide →
- Recurring decimalsRevision checklist
- RoundingRevision checklist
- EstimationRevision checklist
- Upper and lower boundsRevision checklist
- Prime factors, HCF and LCMRevision checklist
- Product rule for countingRevision checklist
Algebra
Use symbols, equations, graphs and sequences to express and solve relationships.
26 clusters- SubstitutionRevision checklist
- Expanding bracketsRevision checklist
- FactorisingRevision checklist
- Rearranging formulaeRevision checklist
- Linear equationsRevision checklist
- Linear inequalitiesRevision checklist
- Quadratic equationsRevision checklist
- Quadratic formulaOpen guide →
- Completing the squareOpen guide →
- Quadratic inequalitiesRevision checklist
- Simultaneous equationsOpen guide →
- Algebraic fractionsRevision checklist
- FunctionsOpen guide →
- Inverse functionsRevision checklist
- Composite functionsRevision checklist
- SequencesOpen guide →
- Nth termRevision checklist
- Quadratic sequencesOpen guide →
- Straight line graphsRevision checklist
- Quadratic graphsRevision checklist
- Cubic and reciprocal graphsRevision checklist
- Graph transformationsRevision checklist
- Velocity-time graphsRevision checklist
- Equation of a circleOpen guide →
- IterationRevision checklist
- Algebraic proofRevision checklist
Ratio, proportion and rates of change
Scale quantities, connect changing values and work with compound measures.
14 clusters- RatioOpen guide →
- ProportionRevision checklist
- Direct proportionRevision checklist
- Inverse proportionRevision checklist
- Percentage changeRevision checklist
- Reverse percentagesRevision checklist
- Simple interestRevision checklist
- Compound interestOpen guide →
- Growth and decayRevision checklist
- Speed, distance and timeRevision checklist
- Density, mass and volumeRevision checklist
- Pressure, force and areaRevision checklist
- Scale drawingsRevision checklist
- Unit conversionsRevision checklist
Geometry and measures
Reason about shape, angle, position, length, area, volume and movement.
27 clusters- Angle rulesRevision checklist
- Angles in parallel linesRevision checklist
- Angles in polygonsRevision checklist
- BearingsOpen guide →
- Pythagoras’ theoremRevision checklist
- TrigonometryOpen guide →
- Exact trig valuesOpen guide →
- Sine ruleRevision checklist
- Cosine ruleOpen guide →
- Area of a triangle with trigonometryRevision checklist
- Circle theoremsOpen guide →
- Congruent trianglesRevision checklist
- Similar shapesRevision checklist
- TransformationsRevision checklist
- ReflectionRevision checklist
- RotationRevision checklist
- TranslationRevision checklist
- EnlargementRevision checklist
- Constructions and lociRevision checklist
- Coordinate geometryRevision checklist
- Plans and elevationsRevision checklist
- Area and perimeterRevision checklist
- Surface areaRevision checklist
- VolumeRevision checklist
- Arc length and sector areaRevision checklist
- VectorsOpen guide →
- Vector proofRevision checklist
Probability
Model chance using outcomes, diagrams, frequencies and relationships between events.
8 clusters- Probability scaleRevision checklist
- Sample space diagramsRevision checklist
- Venn diagramsOpen guide →
- Tree diagramsRevision checklist
- Conditional probabilityRevision checklist
- Relative frequencyRevision checklist
- Frequency treesRevision checklist
- Independent, dependent and mutually exclusive eventsRevision checklist
Statistics
Collect, display, interpret and compare data using suitable summaries and diagrams.
11 clusters- SamplingRevision checklist
- Frequency tablesRevision checklist
- AveragesRevision checklist
- Range and interquartile rangeRevision checklist
- Pie chartsOpen guide →
- Scatter graphsRevision checklist
- Correlation and line of best fitRevision checklist
- Time series graphsRevision checklist
- Box plotsOpen guide →
- Cumulative frequencyOpen guide →
- HistogramsOpen guide →
Choose a route through the syllabus
Specification sources
The planning map was checked on 5 September 2026 against the current subject content and exam-board specifications. Always use your own board's specification for exact tier boundaries.