# IGCSE Maths syllabus

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
• 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
• Formulae
• Simultaneous Equations

6. Functions and graphs

• Functions
• Composite Functions
• Inverse Functions
• Straight Line Graphs
• Parabolas and Other Graphs
• Solving Equations using Graphs
• Linear Programming

7. Trigonometry

• Pythagorasâ€™ Theorem
• Trigonometric Ratios
• Trigonometric Graphs
• Non-right-angled
• Triangles
• Three-dimensional Trigonometry

8. Probability and statistics

• Probability
• Tree Diagrams
• Averages
• 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
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