Topic Checklist
GCSE Maths
Last Updated on 2nd Oct 2026
Your exam board's specification is always the official source of truth. Find it on our Exam Board Resources pages, along with the official topic checklists that Edexcel publishes for GCSE and IGCSE: Edexcel, AQA, OCR, Edexcel IGCSE.
Download the Checklist (PDF)
Topics by Grade
Every GCSE Maths topic for Foundation and Higher, ordered by grade. It follows the Pearson Edexcel GCSE (9–1) specification and also works for AQA, OCR and Edexcel International GCSE: the few topics that differ are marked, e.g. (Not on Ed IGCSE).
Some topics sit a grade earlier than their exam difficulty because they are easier to learn alongside related topics. Ed IGCSE = Pearson Edexcel International GCSE Mathematics A (4MA1).
Grade 1 - 16 topics
Number
- Place Value
- Ordering Integers
- Ordering Decimals
- Reading Scales
- Simple Mathematical Notation
- Interpreting Real-Life Tables
Algebra
- Introduction to Algebraic Conventions
- Coordinates
Geometry & Measures
- Simple Geometric Definitions
- Polygons
- Symmetry
- Tessellations and Congruency
- Names of Angles
Probability & Statistics
- Probability Scale
- Tally Charts and Bar Charts
- Pictograms
Grade 2 - 46 topics
Number
- Adding Integers and Decimals
- Subtracting Integers and Decimals
- Four Rules of Negatives
- Multiplying Integers
- Dividing Integers
- Money Questions
- Introduction to Fractions
- Equivalent Fractions
- Simplifying Fractions
- Half-Way Values
- Factors, Multiples and Primes
- Multiplying and Dividing by Powers of 10
- Rounding to the Nearest Whole Number, 10, 100, 1000
- Rounding to Decimal Places
Algebra
- Algebra - Addition and Subtraction
- Algebra - Multiplication
- Algebra - Division
- Function Machines
Ratio, Proportion, Rate of Change
- Introduction to Ratio
- Using Ratio for Recipe Questions
- Introduction to Percentages
- Best Value (Easy)
- Introduction to Proportion
Geometry & Measures
- Properties of Solids
- Nets
- Angles on a Line and at a Point
- Measuring and Drawing Angles
- Drawing a Triangle Using a Protractor
- Reflection
- Rotations
- Translations
- Plans and Elevations(Not on Ed IGCSE)
- Perimeters
- Area of a Rectangle
- Area of a Triangle
- Area of a Parallelogram
- Area of a Trapezium
Probability & Statistics
- Frequency Trees
- Single Event Probability
- Mutually Exclusive Events
- Two-Way Tables
- Averages and the Range
- Data - Discrete and Continuous
- Vertical Line Charts
- Frequency Tables
- Frequency Polygons(Not on AQA, OCR, Ed IGCSE)
Grade 3 - 57 topics
Number
- Multiplying Decimals
- Dividing Decimals
- Listing Outcomes
- Product Rule for Counting(Not on Ed IGCSE)
- Ordering Fractions
- Adding and Subtracting Fractions
- Finding a Fraction of an Amount
- Multiplying Fractions
- Dividing Fractions
- BODMAS/BIDMAS
- Reciprocals
- Calculator Questions
- Product of Primes
- Highest Common Factor (HCF)
- Lowest Common Multiple (LCM)
- Squares, Cubes and Roots
- Standard Form
- Fractions, Decimals and Percentages
- Percentage of an Amount
- Expressing One Quantity as a Percentage of Another
- Rounding to Significant Figures
- Estimating Answers
- Using Place Value
Algebra
- Simple Factorisation
- Substitution
- Drawing Straight Line Graphs
- Gradient of a Line
- Drawing Quadratic Graphs
- Sketching Functions
- nth Term of a Sequence (Linear)
Ratio, Proportion, Rate of Change
- Exchanging Money
- Sharing using Ratio
- Ratios, Fractions and Graphs
- Increase/Decrease by a Percentage
- Percentage Change
- Reverse Percentage Problems
- Simple Interest
- Best Value (Hard)
Geometry & Measures
- Metric conversions
- Problems on Coordinate Axes
- Surface Area of a Prism
- Parts of a Circle
- Area of a Circle
- Circumference of a Circle
- Volume of a Prism
- Angles and Parallel Lines
- Angles in a Triangle
- Angles in Polygons
- Bearings
Probability & Statistics
- Relative Frequency
- Possibility Spaces
- Venn Diagrams - Introduction
- Pie Charts
- Stem and Leaf Diagrams(Not on AQA, OCR, Ed IGCSE)
- Scatter Diagrams(Not on Ed IGCSE)
- Averages from Frequency table
- Estimate for the Mean
Grade 4 - 26 topics
Number
- Index Notation
Algebra
- Index Notation (Algebra)
- Midpoint of a Line
- Expanding Single Brackets
- Expanding and Simplifying - Single Brackets
- Expanding and Simplifying - Double Brackets
- Solving Equations
- Changing the subject of a formula (Simple)
- Forming Formulae and Equations
- Inequalities on a Number Line
- Solve Linear Inequalities
- Simultaneous Equations Graphically
- Fibonacci Sequences
Ratio, Proportion, Rate of Change
- Compound Measures (Speed)
- Compound Measures (Density)
- Compound Measures (Pressure)
- Distance-Time Graphs
- Similar Shapes (Length)
Geometry & Measures
- Constructions - Bisectors
- Loci(Not on Ed IGCSE)
- Draw a Triangle Using Compasses
- Enlargements
- Tangents, Arcs, Sectors and Segments
- Pythagoras' Theorem
Probability & Statistics
- Tree Diagrams
- Time Series
Grade 5 - 23 topics
Number
- Negative Indices
- Error Intervals(Not on Ed IGCSE)
- Mathematical Reasoning
Algebra
- Factorising and Solving Quadratics
- Difference of Two Squares
- Equation of a Straight Line (y=mx+c)
- Equation of a Straight Line (Coordinates)
- Roots and Turning Points of Quadratics
- Cubic and Reciprocal Graphs
- Simultaneous Equations Algebraically
- Geometric Progressions
Ratio, Proportion, Rate of Change
- Compound Interest and Depreciation
- Ratio Questions (Easy)
Geometry & Measures
- Congruent Triangles(Not on Ed IGCSE)
- Sectors of a Circle
- Trigonometry
- Spheres
- Pyramids
- Cones
- Frustums
- Exact Trigonometric Values
- Column Vectors
Probability & Statistics
- Stratified Sampling
Grade 6 - 12 topics
Number
- Recurring Decimals to Fractions
Algebra
- Expanding Triple Brackets
- Iteration - Trial and Improvement(Not on Ed IGCSE)
- Iterative Processes(Not on OCR, Ed IGCSE)
Geometry & Measures
- Enlargement - Negative Scale Factor(Not on Ed IGCSE)
- Combinations of Transformations
- Circle Theorems
- Proof of Circle Theorems(Not on Ed IGCSE)
Probability & Statistics
- Probability using Venn Diagrams
- Cumulative Frequency
- Box Plots(Not on Ed IGCSE)
- Capture-Recapture(Not on AQA, OCR, Ed IGCSE)
Grade 7 - 18 topics
Number
- Fractional Indices
Algebra
- Changing the subject of a formula (Hard)
- Solving Quadratics with the Formula
- Factorising Hard Quadratics
- Algebraic Proof
- Exponential Graphs(Not on Ed IGCSE)
- Trigonometric Graphs
- Transformation of Functions
- Equation of a Circle(Not on Ed IGCSE)
Ratio, Proportion, Rate of Change
- Inequality Regions
- Direct and Inverse Proportion
- Ratio Questions (Hard)
Geometry & Measures
- Similar Shapes (Area and Volume)
- Sine Rule
- Cosine Rule
- Area of a Triangle Using Sine
Probability & Statistics
- And and Or Probability Questions
- Histograms
Grade 8/9 - 15 topics
Number
- Upper and Lower Bounds
- Surds
Algebra
- Perpendicular Lines
- Completing the Square
- Algebraic Fractions
- Simultaneous Equations with a Quadratic
- Solve Quadratic Inequalities
- nth Term of a Quadratic(Not on Ed IGCSE)
- Inverse Functions
- Composite Functions
- Interpreting Graphs
- Differentiation(Only on Ed IGCSE)
Geometry & Measures
- Pythagoras in 3D
- Trigonometry in 3D
- Vectors
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