IGCSE Mathematics Index
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Summary: Complete index of IGCSE Mathematics (0580) concepts organised by Cambridge syllabus topic. Covers Number, Algebra and Graphs, Coordinate Geometry, Geometry, Mensuration, Trigonometry, Vectors and Transformations, Probability, and Statistics. Tags: index igcse mathematics hub Created: 2026-07-16 Last Updated: 2026-07-16
1. Number
- Number — Number types, HCF and LCM, fractions/decimals/percentages, ratio and proportion, standard form, surds, upper and lower bounds, compound measures, set notation and Venn diagrams
2. Algebra and Graphs
- Algebra and Graphs — Expanding and factorising, linear and quadratic equations, simultaneous equations, inequalities, sequences, functions, straight-line graphs (gradient, midpoint, distance, parallel/perpendicular lines), graphs of functions, gradients of curves
3. Geometry
- Geometry — Angle facts, triangles and polygons, circle theorems, symmetry, similarity and congruence
4. Mensuration
- Mensuration — Perimeter and area of 2D shapes, arc length and sector area, surface area and volume of 3D shapes, units conversion
5. Trigonometry
- Trigonometry — SOHCAHTOA, exact trigonometric values, sine and cosine rules, area of a triangle (1/2 ab sin C), 3D trigonometry, bearings
6. Vectors and Transformations
- Vectors and Transformations — Vector notation and operations, vector geometry, transformations (reflection, rotation, translation, enlargement), matrices for transformations, combined transformations
7. Probability
- Probability — Basic probability, sample spaces, mutually exclusive and independent events, tree diagrams, conditional probability, Venn diagrams for probability, expected frequency
8. Statistics
- Statistics — Data types, averages and measures of spread, statistical charts (bar, pie, stem-and-leaf, histogram, cumulative frequency, box-and-whisker), scatter graphs and correlation
Sources
- BBC Bitesize GCSE Mathematics — IGCSE Mathematics topics, BBC (free educational resource)
- OpenStax Mathematics — Free textbooks, Rice University (free, CC BY 4.0)
- Cambridge IGCSE Mathematics 0580 — Syllabus 2023–2025, Cambridge Assessment International Education
- CK-12 Mathematics — CK-12 Math, CK-12 Foundation (free, CC BY-NC 3.0)