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Mathematics 0580›Syllabus

IGCSE Mathematics 0580 syllabus

Cambridge's own syllabus, section by section, with every subtopic linked to its questions.

C1 · Number

C1.1 Types of number 8C1.2 Sets 14C1.3 Powers and roots soonC1.4 Fractions, decimals and percentages 6C1.5 Ordering soonC1.6 The four operations 13C1.7 Indices I 3C1.8 Standard form 3C1.9 Estimation 3C1.10 Limits of accuracy soonC1.11 Ratio and proportion 8C1.12 Rates 7C1.13 Percentages 6C1.14 Using a calculator soonC1.15 Time 3C1.16 Money 5C1.17 Extended content only soonC1.18 Extended content only soon

C2 · Algebra and graphs

C2.1 Introduction to algebra 2C2.2 Algebraic manipulation 6C2.3 Extended content only soonC2.4 Indices II 1C2.5 Equations 6C2.6 Inequalities 1C2.7 Sequences 6C2.8 Extended content only soonC2.9 Graphs in practical situations 2C2.10 Graphs of functions soonC2.11 Sketching curves soonC2.12 Extended content only soonC2.13 Extended content only soon

C3 · Coordinate geometry

C3.1 Coordinates soonC3.2 Drawing linear graphs soonC3.3 Gradient of linear graphs soonC3.4 Extended content only soonC3.5 Equations of linear graphs soonC3.6 Parallel lines soonC3.7 Extended content only soon

C4 · Geometry

C4.1 Geometrical terms 8C4.2 Geometrical constructions 3C4.3 Scale drawings 4C4.4 Similarity soonC4.5 Symmetry 6C4.6 Angles 5C4.7 Circle theorems 1C4.8 Extended content only soon

C5 · Mensuration

C5.1 Units of measure soonC5.2 Area and perimeter 4C5.3 Circles, arcs and sectors 1C5.4 Surface area and volume 2C5.5 Compound shapes and parts of shapes soon

C6 · Trigonometry

C6.1 Pythagoras’ theorem soonC6.2 Right-angled triangles soonC6.3 Extended content only soonC6.4 Extended content only soonC6.5 Extended content only soonC6.6 Extended content only soon

C7 · Transformations and vectors

C7.1 Transformations 3C7.2 Extended content only soonC7.3 Extended content only soonC7.4 Extended content only soon

C8 · Probability

C8.1 Introduction to probability 1C8.2 Relative and expected frequencies soonC8.3 Probability of combined events 2C8.4 Extended content only soon

C9 · Statistics

C9.1 Classifying statistical data soonC9.2 Interpreting statistical data soonC9.3 Averages and range 3C9.4 Statistical charts and diagrams 4C9.5 Scatter diagrams 2C9.6 Extended content only soonC9.7 Extended content only soon

E1 · Number

E1.1 Types of number 6E1.2 Sets 3E1.3 Powers and roots 1E1.4 Fractions, decimals and percentages 7E1.5 Ordering soonE1.6 The four operations 5E1.7 Indices I 2E1.8 Standard form 7E1.9 Estimation 1E1.10 Limits of accuracy 27E1.11 Ratio and proportion 41E1.12 Rates 23E1.13 Percentages 47E1.14 Using a calculator soonE1.15 Time 5E1.16 Money 16E1.17 Exponential growth and decay 38E1.18 Surds soon

E2 · Algebra and graphs

E2.1 Introduction to algebra 5E2.2 Algebraic manipulation 52E2.3 Algebraic fractions 34E2.4 Indices II 12E2.5 Equations 85E2.6 Inequalities 19E2.7 Sequences 21E2.8 Proportion 6E2.9 Graphs in practical situations 8E2.10 Graphs of functions 41E2.11 Sketching curves 7E2.12 Differentiation 43E2.13 Functions 38

E3 · Coordinate geometry

E3.1 Coordinates 2E3.2 Drawing linear graphs 5E3.3 Gradient of linear graphs 3E3.4 Length and midpoint 15E3.5 Equations of linear graphs 15E3.6 Parallel lines 2E3.7 Perpendicular lines 11

E4 · Geometry

E4.1 Geometrical terms 15E4.2 Geometrical constructions 2E4.3 Scale drawings 2E4.4 Similarity 24E4.5 Symmetry 2E4.6 Angles 14E4.7 Circle theorems I 25E4.8 Circle theorems II 7

E5 · Mensuration

E5.1 Units of measure 3E5.2 Area and perimeter 18E5.3 Circles, arcs and sectors 23E5.4 Surface area and volume 46E5.5 Compound shapes and parts of shapes 13

E6 · Trigonometry

E6.1 Pythagoras’ theorem 12E6.2 Right-angled triangles 33E6.3 Exact trigonometric values 1E6.4 Trigonometric functions 15E6.5 Non-right-angled triangles 46E6.6 Pythagoras’ theorem and trigonometry 26

E7 · Transformations and vectors

E7.1 Transformations 40E7.2 Vectors in two dimensions 17E7.3 Magnitude of a vector 3E7.4 Vector geometry 16

E8 · Probability

E8.1 Introduction to probability 24E8.2 Relative and expected frequencies 9E8.3 Probability of combined events 35E8.4 Conditional probability 4

E9 · Statistics

E9.1 Classifying statistical data 1E9.2 Interpreting statistical data 1E9.3 Averages and measures of spread 50E9.4 Statistical charts and diagrams 8E9.5 Scatter diagrams 2E9.6 Cumulative frequency diagrams 24E9.7 Histograms 28