Number

Number Operations

Types of Numbers

Irrational Numbers

Negative Numbers

Mathematical Symbols

Order of Operations (BIDMAS/BODMAS)

Addition & Subtraction

Multiplication & Division

Operations with Decimals

Prime Factors, HCF & LCM

Prime Factor Decomposition

Uses of Prime Factor Decomposition

HCF & LCM

Sets

Set Notation & Venn Diagrams

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

Simple & Compound Interest

Simple Interest

Compound Interest

Depreciation

Surds

Simplifying Surds

Rationalising Denominators

Converting Fractions, Decimals & Percentages

Converting Fractions, Decimals & Percentages

Recurring Decimals

Ordering Fractions, Decimals & Percentages

Ratios

Ratios

Problem Solving with Ratios

Working with Proportion

Compound Measures & Speed

Speed

Compound Measures

Time, Currency & Units

Time

Money Calculations

Exchange Rates

Converting between Units

Squared & Cubic Units

Rounding & Estimation

Rounding & Estimation

Algebra & Sequences

Introduction to Algebra

Algebraic Notation

Algebraic Vocabulary

Substitution

Collecting Like Terms

Algebraic Roots & Indices

Algebraic Roots & Indices

Expanding & Factorising Brackets

Expanding & Simplifying Single Brackets

Expanding Double Brackets

Expanding Triple Brackets

Factorising Out Terms

Factorising by Grouping

Factorising Simple Quadratics

Factorising Harder Quadratics

Difference of Two Squares

Deciding the Factorisation Method

Linear Equations & Inequalities

Solving Linear Equations

Solving Linear Inequalities

Quadratic Equations

Solving Quadratics by Factorising

The Quadratic Formula

Solving Quadratics using a Calculator

Rearranging Formulas

Formulas where Subject Appears Once

Formulas where Subject Appears Twice

Simultaneous Equations

Linear Simultaneous Equations

Quadratic Simultaneous Equations

Algebraic Fractions

Simplifying Algebraic Fractions

Adding & Subtracting Algebraic Fractions

Multiplying & Dividing Algebraic Fractions

Solving Equations with Algebraic Fractions

Forming & Solving Equations

Forming Equations from Words

Forming Equations from Shapes

Problem Solving with Equations

Functions

Introduction to Functions

Domain & Range

Composite Functions

Inverse Functions

Sequences

Introduction to Sequences

nth Terms of Linear Sequences

Quadratic Sequences

Other Sequences

Proportion

Direct Proportion

Inverse Proportion

Variation Models

Exponentials & Logarithms

Exponential Growth & Decay

Logarithms

Coordinate Geometry & Graphs

Coordinate Geometry

Coordinates

Midpoint of a Line

Gradient of a Line

Length of a Line

Straight Line Graphs

Equations of Straight Lines (y = mx + c)

Drawing Straight Line Graphs

Parallel Lines

Perpendicular Lines

Types of Graphs

Quadratic Graphs

Cubic Graphs

Reciprocal Graphs

Exponential Graphs

Using Calculators for Graphs, Equations & Inequalities

Using Calculators to Sketch Graphs

Using Calculators to Solve Equations

Using Calculators to Solve Inequalities

Sketching 2D Inequalities

Representing Inequalities as Regions

Finding Inequalities from Regions

Transformations of Graphs

Translations of Graphs

Geometry

Symmetry & Shapes

Rotational Symmetry

Lines of Symmetry

2D Shapes

3D Shapes

Planes of Symmetry

Angles in Polygons & Parallel Lines

Basic Angle Properties

Angles in Polygons

Angles in Parallel Lines

Bearings

Bearings

Circle Theorems

Angles at Centre & Circumference

Angle in a Semicircle

Theorems with Chords & Tangents

Angles in Cyclic Quadrilaterals

Angles in the Same Segment

The Alternate Segment Theorem

Lengths, Areas & Volumes

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

Volume

Problem Solving with Volumes

Surface Area

Congruence & Similarity

Congruence

Similarity

Similar Lengths

Similar Areas & Volumes

Pythagoras & Trigonometry

Right-Angled Triangles

Pythagoras Theorem

SOHCAHTOA

Angles of Elevation & Depression

Exact Trig Values

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

Trigonometric Graphs & Equations

Trigonometric Graphs

Periods & Amplitudes

Solving Trig Equations

Vectors & Transformations

Vectors

Introduction to Vectors

Magnitude of a Vector

Transformations of Shapes

Translations

Reflections

Rotations

Enlargements

Probability

Introduction to Probability

Basic Probability

Relative & Expected Frequency

Probabilities from Tables & Charts

Two-Way Tables

Possibility (Sample Space) Diagrams

Probabilities from Venn Diagrams

Tree Diagrams & Multiple Events

Probability Tree Diagrams

Combined Probabilities

Conditional Probability

Combined Conditional Probabilities

Statistics

Averages, Ranges & Comparing Data

Discrete & Continuous Data

Mean, Median & Mode

Calculations with the Mean

Averages from Tables

Averages from Grouped Data

Using Calculators to Find Averages

Range & Interquartile Range

Comparing Data Sets

Statistical Diagrams

Stem & Leaf Diagrams

Bar Charts & Pictograms

Pie Charts

Reading & Interpreting Statistical Diagrams

Comparing Statistical Diagrams

Cumulative Frequency

Cumulative Frequency

Drawing Cumulative Frequency Diagrams

Interpreting Cumulative Frequency Diagrams

Scatter Graphs & Correlation

Scatter Graphs & Correlation

Lines of Best Fit

Linear Regression Lines

Study tools

• Cambridge (CIE) IGCSE International Maths · Past Papers