Introduction
Understanding the complete scope of Cambridge IGCSE Mathematics 0580 is the first step to exam success. This guide breaks down every topic in the Extended syllabus.
Section 1: Number
Covers natural numbers, integers, fractions, decimals, percentages, standard form, surds, indices, and set theory. This section forms the foundation of all other topics.
Section 2: Algebra
Includes expressions, equations, inequalities, sequences, functions, graphs, and matrices. Algebra is the highest-weighted section in Paper 4.
Section 3: Coordinate Geometry
Covers the gradient, equation of a line, midpoint, distance formula, and parallel/perpendicular lines.
Section 4: Geometry
Includes angle properties, circle theorems, similarity and congruence, constructions, and geometric transformations.
Section 5: Mensuration
Area, perimeter, volume and surface area calculations for all standard 2D and 3D shapes.
Section 6: Trigonometry
SOHCAHTOA, sine rule, cosine rule, bearings, and trigonometric graphs.
Section 7: Probability & Statistics
Data display, averages, probability, tree diagrams, and Venn diagrams.
Study Priority
Focus 40% of revision time on Algebra and Functions, as these carry the most marks in extended paper examinations.