Specification map · free topic guides
GCSE Maths topics
GCSE Maths is organised into six connected areas. Topics follow the same learning stages as the guide library: start with the basics in an area, then move to linked applications. Several topic names may lead to different skills inside the same guide.
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.
Suggested learning order
GCSE Maths topics by area
Number
Represent, calculate with and reason about numbers in exact and approximate forms.
16 clusters1. Start with calculations
2. Use percentages and money
3. Understand powers and scale
4. Round, estimate and check accuracy
5. Extend roots and exact values
6. Count possible outcomes
Algebra
Use symbols, equations, graphs and sequences to express and solve relationships.
31 clusters1. Understand and rewrite expressions
2. Solve linear problems
3. Read lines and real-life graphs
4. Build up to quadratic problems
5. Explore sequences
6. Connect functions and further graphs
- FunctionsOpen guide →
- Inverse functionsOpen guide →
- Composite functionsOpen guide →
- Cubic and reciprocal graphsOpen guide →
- Exponential graphsOpen guide →
- Trigonometric graphsOpen guide →
- Graph transformationsOpen guide →
- Equation of a circleOpen guide →
- Graphical inequalitiesOpen guide →
- IterationOpen guide →
7. Extend algebra and prove results
Ratio, proportion and rates of change
Scale quantities, connect changing values and work with compound measures.
15 clusters1. Use percentages and money
2. Compare and scale quantities
3. Model proportional relationships
4. Work with rates and compound measures
5. Follow percentage changes over time
Geometry and measures
Reason about shape, angle, position, length, area, volume and movement.
28 clusters1. Know shapes, angles and coordinates
2. Measure and represent shapes
3. Move, compare and construct shapes
4. Find triangle lengths and angles
5. Develop geometric reasoning
Probability
Model chance using outcomes, diagrams, frequencies and relationships between events.
8 clusters1. Explore chance and possible outcomes
2. Organise events and repeated trials
3. Use information to update probability
Statistics
Collect, display, interpret and compare data using suitable summaries and diagrams.
15 clusters1. Organise and display data
2. Summarise and compare distributions
3. Interpret relationships and trends
4. Collect representative evidence
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.