1. Numbers & the Number System

Number Operations

Mathematical Operations

Order of Operations (BIDMAS/BODMAS)

Negative Numbers

Money Calculations

Addition & Subtraction

Multiplication & Division

Related Calculations

Set Notation & Venn Diagrams

Set Notation & Venn Diagrams

Types of Number, Prime Factors, HCF & LCM

Types of Number

Multiples, Factors & Primes

Squares, Cubes & Roots

Reciprocals

Prime Factor Decomposition

HCF & LCM

Powers, Roots & Standard Form

Powers & Roots

Laws of Indices

Converting to & from Standard Form

Fractions

Introduction to Fractions

Fractions of Amounts

Equivalent & Simplified Fractions

Mixed Numbers & Improper Fractions

Adding & Subtracting Fractions

Multiplying & Dividing Fractions

Percentages

Introduction to Percentages

Percentages of Amounts

Percentage Increases & Decreases

Percentage Change

Reverse Percentages

Compound Interest & Depreciation

Compound Interest

Depreciation

Fractions, Decimals & Percentages

Converting Fractions, Decimals & Percentages

Ordering Fractions, Decimals & Percentages

Operations with Decimals

Rounding, Estimation & Error Intervals

Rounding to a Given Place Value

Rounding to Significant Figures

Estimation

Bounds & Error Intervals

Using a Calculator

Using a Calculator

Ratio

Introduction to Ratios

Equivalent & Simplified Ratios

Sharing in a Ratio

Direct & Inverse Proportion

Direct & Inverse Proportion

Exchange Rates & Best Buys

Exchange Rates

Best Buys

2. Equations, Formulae & Identities

Introduction to Algebra

Algebraic Notation

Algebraic Vocabulary

Substitution

Collecting Like Terms

Algebraic Roots & Indices

Algebraic Roots & Indices

Expanding Brackets

Expanding & Simplifying Single Brackets

Expanding Double Brackets

Factorising

Factorising Out Terms

Factorising Quadratics

Difference of Two Squares

Rearranging Formulas

Rearranging Formulas

Linear Equations

Solving Linear Equations

Equations with Brackets & Fractions

Equations with Unknowns on Both Sides

Solving Quadratic Equations

Solving Quadratic Equations

Simultaneous Equations

Simultaneous Equations

Forming & Solving Equations

Forming Equations from Words

Forming Equations from Shapes

Solving Inequalities

Interpreting Inequalities

Representing Inequalities on a Number Line

Solving Linear Inequalities

3. Sequences, Functions & Graphs

Sequences

Introduction to Sequences

Continuing Sequences

nth Terms of Linear Sequences

Coordinate Geometry

Coordinates

Midpoint of a Line

Gradient of a Line

Linear Graphs

Equations of Straight Lines (y = mx + c)

Drawing Straight Line Graphs

Graphing Inequalities

Representing Inequalities as Regions

Finding Inequalities from Regions

Graphs of Functions

Types of Graphs

Quadratic Graphs

Drawing Graphs from Tables

Real-Life Graphs

Distance-Time Graphs

Speed-Time Graphs

Conversion Graphs

Rates of Change of Graphs

4. Geometry & Trigonometry

Symmetry & Shapes

Introduction to Lines & Angles

Rotational Symmetry

Lines of Symmetry

Planes of Symmetry

Angles in Polygons & Parallel Lines

Angles around Points & Lines

Angles in Triangles

Angles in Quadrilaterals

Angles in Polygons

Angles in Parallel Lines

2D & 3D Shapes

Properties of Polygons

Properties of 3D Shapes

Nets of Solids

Standard & Compound Units

Time

Converting between Units

Squared & Cubic Units

Compound Measures

Speed, Density & Pressure

Bearings, Scale Drawing & Constructions

Bearings

Scale

Constructing Triangles

Constructions

Area & Perimeter

Perimeter

Area

Adding & Subtracting Areas

Problem Solving with Areas

Circles, Arcs & Sectors

Properties of Circles

Theorems with Chords & Tangents

Area & Circumference of Circles

Arc Lengths & Sector Areas

Volume & Surface Area

Volume

Problem Solving with Volumes

Surface Area

Congruence, Similarity & Geometrical Proof

Congruence

Similarity

Similar Lengths

Geometrical Proof

Pythagoras & Trigonometry

Pythagoras Theorem

Trigonometry to Find Lengths

Trigonometry to Find Angles

5. Vectors & Transformation Geometry

Transformations

Translations

Reflections

Rotations

Enlargements

6. Statistics & Probability

Averages, Ranges & Data

Mean, Median & Mode

Calculations with the Mean

Averages from Tables

Averages from Grouped Data

Range

Comparing Data Sets

Population & Sampling

Statistical Diagrams

Tally Charts & Frequency Tables

Two-Way Tables

Bar Charts & Pictograms

Pie Charts

Reading & Interpreting Statistical Diagrams

Comparing Statistical Diagrams

Introduction to Probability

Basic Probability

Relative & Expected Frequency

Venn Diagrams & Sample Space Diagrams

Probabilities from Venn Diagrams

Systematic Lists

Sample Space Diagrams

Exam boards

• Edexcel IGCSE Maths A: Higher
• Edexcel IGCSE Maths A (Modular): Higher Unit 1
• Edexcel IGCSE Maths A (Modular): Higher Unit 2
• Cambridge (CIE) IGCSE International Maths: Core
• Cambridge (CIE) IGCSE International Maths: Extended

Study tools

• Edexcel IGCSE Maths A · Past Papers

Related links

• IGCSE Maths · Revision Notes
• IGCSE Maths · Exam Questions
• IGCSE Maths · Flashcards
• IGCSE Maths · Past Papers
• IGCSE Maths · Glossary