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
  • 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
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