IGCSE Mathematics Formula Booklet

Cambridge IGCSE is one of the most sought-after and recognized qualifications in the world. It is very popular in Egypt because it provides the perfect preparation for success at advanced level programmes.’

The IGCSE mathematics syllabus is made up of topics broken into 10 sections:

1. Basic number theory

Order of Operations

Integers

Types of Numbers

Sequences

Fractions

Decimals

Percentages

Conversions

Approximations

Estimation

Limits of Accuracy

Ratio

Proportion

Variation

Sets

Venn Diagrams

2. General geometry

Angles

Polygons

Triangles

Quadrilaterals

Constructions

Three-dimensional

Geometry

Circles

3. Measurement

The Metric System

Perimeter

Area

Volume

Capacity

Rates

Ratio

Distance, Speed and Time Graphs

4. Algebra

Indices

Simplifying Expressions

Expanding Brackets

Factorisation

5. Equations

Equations

Inequalities

Quadratic Equations

Formulae

Simultaneous Equations

6. Functions and graphs

Functions

Composite Functions

Inverse Functions

Straight Line Graphs

Parabolas and Other Graphs

Gradients of Curves

Solving Equations using Graphs

Linear Programming

7. Trigonometry

Pythagoras’ Theorem

Trigonometric Ratios

Trigonometric Graphs

Non-right-angled

Triangles

Three-dimensional Trigonometry

8. Probability and statistics

Probability

Tree Diagrams

Averages

Spread

Frequency Distributions

Statistical Graphs

9. Transformation geometry

Reflection

Rotation

Translation

Enlargement

Shear

Stretch

Symmetry

Combined Transformations

10. Matrices and vectors

Matrices

Inverse and Identity Matrix

Matrices and Transformations

Vectors