Cambridge IGCSE Mathematics

Syllabus 0580 · 2025-2027 · sourced from Cambridge International -- official IGCSE Mathematics (0580) syllabus PDF, for examination in 2025, 2026 and 2027, verified 2026-09-01.

1. 1. Number

   • 1.1 Types of number — both
   • 1.2 Sets — both
   • 1.3 Powers and roots — both
   • 1.4 Fractions, decimals and percentages — both
   • 1.5 Ordering — both
   • 1.6 The four operations — both
   • 1.7 Indices I — both
   • 1.8 Standard form — both
   • 1.9 Estimation — both
   • 1.10 Limits of accuracy — both
   • 1.11 Ratio and proportion — both
   • 1.12 Rates — both
   • 1.13 Percentages — both
   • 1.14 Using a calculator — both
   • 1.15 Time — both
   • 1.16 Money — both
   • 1.17 Exponential growth and decay — supplement
   • 1.18 Surds — supplement

2. 2. Algebra and graphs

   • 2.1 Introduction to algebra — both
   • 2.2 Algebraic manipulation — both
   • 2.3 Algebraic fractions — supplement
   • 2.4 Indices II — both
   • 2.5 Equations — both
   • 2.6 Inequalities — both
   • 2.7 Sequences — both
   • 2.8 Proportion — supplement
   • 2.9 Graphs in practical situations — both
   • 2.10 Graphs of functions — both
   • 2.11 Sketching curves — both
   • 2.12 Differentiation — supplement
   • 2.13 Functions — supplement

3. 3. Coordinate geometry

   • 3.1 Coordinates — both
   • 3.2 Drawing linear graphs — both
   • 3.3 Gradient of linear graphs — both
   • 3.4 Length and midpoint — supplement
   • 3.5 Equations of linear graphs — both
   • 3.6 Parallel lines — both
   • 3.7 Perpendicular lines — supplement

4. 4. Geometry

   • 4.1 Geometrical terms — both
   • 4.2 Geometrical constructions — both
   • 4.3 Scale drawings — both
   • 4.4 Similarity — both
   • 4.5 Symmetry — both
   • 4.6 Angles — both
   • 4.7 Circle theorems — both
   • 4.8 Circle theorems II — supplement

5. 5. Mensuration

   • 5.1 Units of measure — both
   • 5.2 Area and perimeter — both
   • 5.3 Circles, arcs and sectors — both
   • 5.4 Surface area and volume — both
   • 5.5 Compound shapes and parts of shapes — both

6. 6. Trigonometry

   • 6.1 Pythagoras’ theorem — both
   • 6.2 Right-angled triangles — both
   • 6.3 Exact trigonometric values — supplement
   • 6.4 Trigonometric functions — supplement
   • 6.5 Non-right-angled triangles — supplement
   • 6.6 Pythagoras’ theorem and trigonometry — supplement

7. 7. Transformations and vectors

   • 7.1 Transformations — both
   • 7.2 Vectors in two dimensions — supplement
   • 7.3 Magnitude of a vector — supplement
   • 7.4 Vector geometry — supplement

8. 8. Probability

   • 8.1 Introduction to probability — both
   • 8.2 Relative and expected frequencies — both
   • 8.3 Probability of combined events — both
   • 8.4 Conditional probability — supplement

9. 9. Statistics

   • 9.1 Classifying statistical data — both
   • 9.2 Interpreting statistical data — both
   • 9.3 Averages and range — both
   • 9.4 Statistical charts and diagrams — both
   • 9.5 Scatter diagrams — both
   • 9.6 Cumulative frequency diagrams — supplement
   • 9.7 Histograms — supplement