Number

Number Toolkit

Mathematical Symbols

Order of Operations (BIDMAS/BODMAS)

Negative Numbers

Money Calculations

Addition & Subtraction

Multiplication & Division

Operations with Decimals

Related Calculations

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

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

Repeated Percentage Change

Repeated Percentage Change

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

Standard & Compound Units

Time

Converting between Units

Squared & Cubic Units

Compound Measures

Speed, Density & Pressure

Exchange Rates & Best Buys

Exchange Rates

Best Buys

Sets

Set Notation & Venn Diagrams

Set Notation & Venn Diagrams

Algebra

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 Quadratic Factorisation Method

Completing the Square

Completing the Square

The Factor Theorem & Algebraic Division

The Factor Theorem

Algebraic Division

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

Quadratic Formula

Deciding the Quadratic Solution Method

Solving Cubic Equations

Solving Cubic Equations

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

Introduction to Sequences

Arithmetic Sequences

Functions

Functions

Introduction to Functions

Domain & Range

Composite Functions

Inverse Functions

Direct & Inverse Proportion

Direct Proportion

Inverse Proportion

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

Graphs of Functions

Quadratic Graphs

Cubic Graphs

Reciprocal Graphs

Drawing Graphs from Tables

Solving Equations from Graphs

Graphing Inequalities

Representing Inequalities as Regions

Finding Inequalities from Regions

Estimating Gradients

Finding Gradients of Tangents

Real-Life Graphs

Distance-Time Graphs

Speed-Time Graphs

Rates-of-Change Graphs

Differentiation

Differentiation

Finding Stationary Points & Turning Points

Classifying Stationary Points

Problem Solving with Differentiation

Using Differentiation for Kinematics

Matrices

Properties of Matrices

Introduction to Matrices

Adding Matrices & Multiplying by a Scalar

Multiplying Matrices

Determinants of Matrices

Inverses of Matrices

Solving Matrix Equations

Transformations using Matrices

Transforming a Point

Reflection Matrices

Rotation Matrices

Enlargement Matrices

Determinant of a Transformation Matrix

Combining Matrix Transformations

Geometry

Angles in Polygons & Parallel Lines

Basic Angle Properties

Angles in Polygons

Angles in Parallel Lines

Properties of 2D Shapes

Symmetry

Rotational Symmetry

Lines of Symmetry

Planes of Symmetry

Congruence, Similarity & Geometrical Proof

Congruence

Similarity

Similar Lengths

Geometrical Proof

Scale

Area & Volume of Similar Shapes

Similar Areas & Volumes

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

Constructions & Loci

Constructions

Loci

Mensuration

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

Vectors & Transformation Geometry

Vectors

Introduction to Column Vectors

Representing Vectors as Diagrams

Modulus of a Vector

Position & Displacement Vectors

Parallel Vectors & Unit Vectors

Finding Vector Paths

Vector Proof

Transformations

Translations

Reflections

Rotations

Enlargements

Combination of Transformations

Trigonometry

Right-Angled Triangles - Pythagoras & Trigonometry

Pythagoras Theorem

SOHCAHTOA

Angles of Elevation & Depression

Sine, Cosine Rules & Area of Triangles

The Sine Rule

The Cosine Rule

Area of a Triangle

Deciding the Trig Rule

3D Pythagoras & Trigonometry

3D Pythagoras & Trigonometry

Bearings

Bearings

Statistics & Probability

Statistics Toolkit

Discrete & Continuous Data

Mean, Median & Mode

Calculations with the Mean

Averages from Tables

Averages from Grouped Data

Range

Bar Charts

Pie Charts

Reading & Interpreting Statistical Diagrams

Comparing Statistical Diagrams

Histograms

Frequency Density

Drawing Histograms

Interpreting Histograms

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

• Cambridge (CIE) IGCSE International Maths: Core
• Cambridge (CIE) IGCSE International Maths: Extended
• Cambridge (CIE) IGCSE Maths: Extended
• Cambridge (CIE) IGCSE Maths: Core
• Edexcel IGCSE Maths A: Foundation

Study tools

• Edexcel IGCSE Maths B · Past Papers

Related links

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