Numbers & the Number System

Number Toolkit

Mathematical Symbols

Order of Operations (BIDMAS/BODMAS)

Negative Numbers

Money Calculations

Addition & Subtraction

Multiplication & Division

Operations with Decimals

Related Calculations

Set Notation & Venn Diagrams

Set Notation & Venn Diagrams

Prime Factors, HCF & LCM

Types of Number

Prime Factor Decomposition

Uses of Prime Factor Decomposition

HCF & LCM

Powers, Roots & Standard Form

Powers & Roots

Laws of Indices

Converting To & From Standard Form

Operations with Standard Form

Fractions

Basic Fractions

Mixed Numbers & Improper Fractions

Adding & Subtracting Fractions

Multiplying & Dividing Fractions

Percentages

Basic Percentages

Percentage Increases & Decreases

Reverse Percentages

Compound Interest & Depreciation

Compound Interest

Depreciation

Fractions, Decimals & Percentages

Converting Fractions, Decimals & Percentages

Recurring Decimals

Ordering Fractions, Decimals & Percentages

Rounding, Estimation & Bounds

Rounding & Estimation

Upper & Lower Bounds

Surds

Simplifying Surds

Rationalising Denominators

Using a Calculator

Using a Calculator

Ratio Toolkit

Introduction to Ratios

Sharing in a Ratio

Working with Proportion

Ratio Problem Solving

Ratios & FDP

Multiple Ratios

Exchange Rates & Best Buys

Exchange Rates

Best Buys

Direct & Inverse Proportion

Direct Proportion

Inverse Proportion

Equations, Formulae & Identities

Algebra Toolkit

Algebraic Notation

Algebraic Vocabulary

Substitution

Collecting Like Terms

Algebraic Roots & Indices

Algebraic Roots & Indices

Expanding Brackets

Expanding & Simplifying Single Brackets

Expanding Double Brackets

Expanding Triple Brackets

Factorising

Factorising Out Terms

Factorising by Grouping

Factorising Simple Quadratics

Factorising Harder Quadratics

Difference Of Two Squares

Deciding the Factorisation Method

Completing the Square

Completing the Square

Algebraic Fractions

Simplifying Algebraic Fractions

Adding & Subtracting Algebraic Fractions

Multiplying & Dividing Algebraic Fractions

Solving Equations with Algebraic Fractions

Rearranging Formulas

Formulas where Subject Appears Once

Formulas where Subject Appears Twice

Algebraic Proof

Algebraic Proof

Solving Linear Equations

Solving Linear Equations

Solving Quadratic Equations

Solving Quadratics by Factorising

Solving by Completing the Square

The Quadratic Formula

Deciding the Quadratic Method

Solving Inequalities

Solving Linear Inequalities

Solving Quadratic Inequalities

Simultaneous Equations

Linear Simultaneous Equations

Quadratic Simultaneous Equations

Forming & Solving Equations

Forming Equations from Words

Forming Equations from Shapes

Problem Solving with Equations

Sequences, Functions & Graphs

Sequences

Introduction to Sequences

Arithmetic Sequences

Sum of an Arithmetic Series

Functions

Introduction to Functions

Domain & Range

Composite Functions

Inverse Functions

Coordinate Geometry

2D Coordinates

Midpoint of a Line

Gradient of a Line

Length of a Line

Linear Graphs y = mx + c

Equations of Straight Lines (y = mx + c)

Drawing Straight Line Graphs

Parallel Lines

Perpendicular Lines

Graphs of Functions

Types of Graphs

Quadratic Graphs

Drawing Graphs from Tables

Solving Equations from Graphs

Trigonometric Graphs

Solving Trig Equations

Estimating Gradients

Finding Gradients of Tangents

Real-Life Graphs

Distance-Time Graphs

Speed-Time Graphs

Conversion Graphs

Rates-of-Change Graphs

Graphing Inequalities

Representing Inequalities as Regions

Finding Inequalities from Regions

Transformations of Graphs

Translations of Graphs

Reflections of Graphs

Stretches of Graphs

Differentiation

Differentiation

Finding Stationary Points & Turning Points

Classifying Stationary Points

Problem Solving with Differentiation

Using Differentiation for Kinematics

Geometry & Trigonometry

Standard & Compound Units

Time

Converting between Units

Squared & Cubic Units

Compound Measures

Speed, Density & Pressure

Angles in Polygons & Parallel Lines

Basic Angle Properties

Angles in Polygons

Angles in Parallel Lines

2D Shapes

Bearings, Scale Drawing & Constructions

Bearings

Scale

Constructing Triangles

Constructions

Circle Theorems

Angles at Centre & Circumference

Angle in a Semicircle

Theorems with Chords & Tangents

Intersecting Chord Theorem

Angles in Cyclic Quadrilaterals

Angles in the Same Segment

The Alternate Segment Theorem

Area & Perimeter

Perimeter

Area

Adding & Subtracting Areas

Problem Solving with Areas

Circles, Arcs & Sectors

Area & Circumference of Circles

Arc Lengths & Sector Areas

Volume & Surface Area

3D Shapes

Volume

Problem Solving with Volumes

Surface Area

Congruence, Similarity & Geometrical Proof

Congruence

Similarity

Similar Lengths

Rotational Symmetry

Lines of Symmetry

Geometrical Proof

Area & Volume of Similar Shapes

Similar Areas & Volumes

Right-Angled Triangles - Pythagoras & Trigonometry

Pythagoras Theorem

SOHCAHTOA

Angles of Elevation & Depression

Sine, Cosine Rule & Area of Triangles

The Sine Rule

The Cosine Rule

Area of a Triangle

Deciding the Trig Rule

3D Pythagoras & Trigonometry

3D Pythagoras & Trigonometry

Vectors & Transformation Geometry

Vectors

Introduction to Column Vectors

Representing Vectors as Diagrams

Magnitude of a Vector

Position & Displacement Vectors

Finding Vector Paths

Vector Proof

Transformations

Translations

Reflections

Rotations

Enlargements

Combination of Transformations

Statistics & Probability

Statistics Toolkit

Discrete & Continuous Data

Mean, Median & Mode

Calculations with the Mean

Averages from Tables

Averages from Grouped Data

Range & Interquartile Range

Comparing Data Sets

Bar Charts & Pictograms

Two-Way Tables

Pie Charts

Reading & Interpreting Statistical Diagrams

Comparing Statistical Diagrams

Histograms

Frequency Density

Drawing Histograms

Interpreting Histograms

Cumulative Frequency Diagrams

Cumulative Frequency

Drawing Cumulative Frequency Diagrams

Interpreting Cumulative Frequency Diagrams

Probability Toolkit

Basic Probability

Sample Space Diagrams

Listing Outcomes

Relative & Expected Frequency

Probability Diagrams - Venn & Tree Diagrams

Probabilities from Venn Diagrams

Probability Tree Diagrams

Combined & Conditional Probability

Combined Probability

Conditional Probability

Combined Conditional Probabilities

Exam boards

• Edexcel IGCSE Maths A: Foundation
• 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 · Exam Questions
• Edexcel IGCSE Maths A · Flashcards
• 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