IGCSEMaths: ExtendedCIERevision Notes

CIE IGCSE Maths: Extended Revision Notes

Concise resources for the CIE IGCSE Maths: Extended course.

Syllabus Edition

First teaching 2023

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First exams 2025

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Number

Coordinate Geometry & Graphs

Coordinate Geometry

Parallel & Perpendicular Lines

Quadratic Graphs

Types of Graphs

Graphical Inequalities

Conversion Graphs

Distance-Time & Speed-Time Graphs

Rates of Change of Graphs

Differentiation

Applications of Differentiation

Problem Solving with Differentiation

Geometry

Unit Conversions

Basic Angle Properties

Angles in Polygons

Angles in Parallel Lines

Constructing a Triangle

Angles at Centre & Semicircles

Chords & Tangents

Cyclic Quadrilaterals

Segment Theorems

Lengths, Areas & Volumes

Area & Perimeter

Problem Solving with Areas

Area & Circumference of Circles

Congruence & Similarity

Pythagoras & Trigonometry

Pythagoras Theorem

Elevation & Depression

Exact Trig Values

Sine & Cosine Rules

Area of a Triangle

Applications of Trigonometry

3D Pythagoras & Trigonometry

Trigonometric Graphs

Solving Trig Equations

Vectors & Transformations

Introduction to Vectors

Working with Vectors

Probability

Basic Probability

Relative & Expected Frequency

Probability & Venn Diagrams

Probability Tree Diagrams

Conditional Probability

Statistics

Mean, Median & Mode

Averages from Tables

Range & Quartiles

Comparing Distributions

Stem & Leaf Diagrams

Bar Charts & Pictograms

Working with Statistical Diagrams

Cumulative Frequency Graphs

Study tools