Full syllabus · 0580 · 2025–2027
IGCSE Mathematics
9 topics · 72 subtopics
- 1
Number
- 1.1Types of number
- 1.2Sets
- 1.3Powers and roots
- 1.4Fractions, decimals and percentages
- 1.5Ordering
- 1.6The four operations
- 1.7Indices I
- 1.8Standard form
- 1.9Estimation
- 1.10Limits of accuracy
- 1.11Ratio and proportion
- 1.12Rates
- 1.13Percentages
- 1.14Using a calculator
- 1.15Time
- 1.16Money
- 1.17Exponential growth and decay
- 1.18Surds
- 2
Algebra and graphs
- 2.1Introduction to algebra
- 2.2Algebraic manipulation
- 2.3Algebraic fractions
- 2.4Indices II
- 2.5Equations
- 2.6Inequalities
- 2.7Sequences
- 2.8Proportion
- 2.9Graphs in practical situations
- 2.10Graphs of functions
- 2.11Sketching curves
- 2.12Differentiation
- 2.13Functions
- 3
Coordinate geometry
- 3.1Coordinates
- 3.2Drawing linear graphs
- 3.3Gradient of linear graphs
- 3.4Length and midpoint
- 3.5Equations of linear graphs
- 3.6Parallel lines
- 3.7Perpendicular lines
- 4
Geometry
- 4.1Geometrical terms
- 4.2Geometrical constructions
- 4.3Scale drawings
- 4.4Similarity
- 4.5Symmetry
- 4.6Angles
- 4.7Circle theorems
- 4.8Circle theorems II
- 5
Mensuration
- 5.1Units of measure
- 5.2Area and perimeter
- 5.3Circles, arcs and sectors
- 5.4Surface area and volume
- 5.5Compound shapes and parts of shapes
- 6
Trigonometry
- 6.1Pythagoras’ theorem
- 6.2Right-angled triangles
- 6.3Exact trigonometric values
- 6.4Trigonometric functions
- 6.5Non-right-angled triangles
- 6.6Pythagoras’ theorem and trigonometry
- 7
Transformations and vectors
- 7.1Transformations
- 7.2Vectors in two dimensions
- 7.3Magnitude of a vector
- 7.4Vector geometry
- 8
Probability
- 8.1Introduction to probability
- 8.2Relative and expected frequencies
- 8.3Probability of combined events
- 8.4Conditional probability
- 9
Statistics
- 9.1Classifying statistical data
- 9.2Interpreting statistical data
- 9.3Averages and range
- 9.4Statistical charts and diagrams
- 9.5Scatter diagrams
- 9.6Cumulative frequency diagrams
- 9.7Histograms