Mathematics
Cambridge IGCSE
This is the published topic structure for Cambridge Cambridge IGCSE Mathematics 0580, 2025–2027. Topics map to the papers below, so a student entered for only some components never sees progress counted against papers they do not sit.
Papers in this syllabus
Every component Cambridge lists for 0580. Which ones a candidate sits depends on the route chosen.
Syllabus topics
The topics a teacher works through, in syllabus order.
1 Number
Types of number · Sets · Powers and roots · Fractions, decimals and percentages · Ordering · The four operations · Indices I · Standard form · Estimation · Limits of accuracy · Ratio and proportion · Rates · Percentages · Using a calculator · Time · Money · Types of number · Sets · Powers and roots · Fractions, decimals and percentages · Ordering · The four operations · Indices I · Standard form · Estimation · Limits of accuracy · Ratio and proportion · Rates · Percentages · Using a calculator · Time · Money · Exponential growth and decay · Surds
2 Algebra and graphs
Introduction to algebra · Algebraic manipulation · Indices II · Equations · Inequalities · Sequences · Graphs in practical situations · Graphs of functions · Sketching curves · Introduction to algebra · Algebraic manipulation · Algebraic fractions · Indices II · Equations · Inequalities · Sequences · Proportion · Graphs in practical situations · Graphs of functions · Sketching curves · Differentiation · Functions
3 Coordinate geometry
Coordinates · Drawing linear graphs · Gradient of linear graphs · Equations of linear graphs · Parallel lines · Coordinates · Drawing linear graphs · Gradient of linear graphs · Length and midpoint · Equations of linear graphs · Parallel lines · Perpendicular lines
4 Geometry
Geometrical terms · Geometrical constructions · Scale drawings · Similarity · Symmetry · Angles · Circle theorems · Geometrical terms · Geometrical constructions · Scale drawings · Similarity · Symmetry · Angles · Circle theorems I · Circle theorems II
5 Mensuration
Units of measure · Area and perimeter · Circles, arcs and sectors · Surface area and volume · Compound shapes and parts of shapes · Units of measure · Area and perimeter · Circles, arcs and sectors · Surface area and volume · Compound shapes and parts of shapes
6 Trigonometry
Pythagoras’ theorem · Right-angled triangles · Pythagoras’ theorem · Right-angled triangles · Exact trigonometric values · Trigonometric functions · Non-right-angled triangles · Pythagoras’ theorem and trigonometry in 3D
7 Transformations and vectors
Transformations · Transformations · Vectors in two dimensions · Magnitude of a vector · Vector geometry
8 Probability
Introduction to probability · Relative and expected frequencies · Probability of combined events · Introduction to probability · Relative and expected frequencies · Probability of combined events · Conditional probability
9 Statistics
Classifying statistical data · Interpreting statistical data · Averages and range · Statistical charts and diagrams · Scatter diagrams · Classifying statistical data · Interpreting statistical data · Averages and measures of spread · Statistical charts and diagrams · Scatter diagrams · Cumulative frequency diagrams · Histograms
Source: Cambridge International Mathematics 0580 syllabus, 2025–2027. Extracted and checked against the published structure. Cambridge International is not affiliated with Fect and does not endorse it. All Cambridge courses.