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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 274C1.2 Sets 43C1.3 Powers and roots 124C1.4 Fractions, decimals and percentages 274C1.5 Ordering 55C1.6 The four operations 192C1.7 Indices I 73C1.8 Standard form 90C1.9 Estimation 28C1.10 Limits of accuracy 150C1.11 Ratio and proportion 295C1.12 Rates 172C1.13 Percentages 233C1.14 Using a calculator 32C1.15 Time 164C1.16 Money 93C1.17 Extended content only soonC1.18 Extended content only soon

C2 · Algebra and graphs

C2.1 Introduction to algebra 68C2.2 Algebraic manipulation 220C2.3 Extended content only soonC2.4 Indices II 23C2.5 Equations 246C2.6 Inequalities 9C2.7 Sequences 110C2.8 Extended content only soonC2.9 Graphs in practical situations 22C2.10 Graphs of functions 96C2.11 Sketching curves 1C2.12 Extended content only soonC2.13 Extended content only soon

C3 · Coordinate geometry

C3.1 Coordinates 76C3.2 Drawing linear graphs 34C3.3 Gradient of linear graphs 37C3.4 Extended content only soonC3.5 Equations of linear graphs 68C3.6 Parallel lines 12C3.7 Extended content only soon

C4 · Geometry

C4.1 Geometrical terms 119C4.2 Geometrical constructions 78C4.3 Scale drawings 81C4.4 Similarity 53C4.5 Symmetry 102C4.6 Angles 254C4.7 Circle theorems 56C4.8 Extended content only soon

C5 · Mensuration

C5.1 Units of measure 61C5.2 Area and perimeter 214C5.3 Circles, arcs and sectors 67C5.4 Surface area and volume 113C5.5 Compound shapes and parts of shapes 42

C6 · Trigonometry

C6.1 Pythagoras’ theorem 67C6.2 Right-angled triangles 102C6.3 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 115C7.2 Extended content only soonC7.3 Extended content only soonC7.4 Extended content only soon

C8 · Probability

C8.1 Introduction to probability 123C8.2 Relative and expected frequencies 19C8.3 Probability of combined events 10C8.4 Extended content only soon

C9 · Statistics

C9.1 Classifying statistical data 49C9.2 Interpreting statistical data 48C9.3 Averages and range 163C9.4 Statistical charts and diagrams 103C9.5 Scatter diagrams 60C9.6 Extended content only soonC9.7 Extended content only soon

E1 · Number

E1.1 Types of number 81E1.2 Sets 69E1.3 Powers and roots 91E1.4 Fractions, decimals and percentages 160E1.5 Ordering 17E1.6 The four operations 66E1.7 Indices I 73E1.8 Standard form 55E1.9 Estimation 10E1.10 Limits of accuracy 110E1.11 Ratio and proportion 226E1.12 Rates 153E1.13 Percentages 147E1.14 Using a calculator 19E1.15 Time 47E1.16 Money 43E1.17 Exponential growth and decay 76E1.18 Surds 7

E2 · Algebra and graphs

E2.1 Introduction to algebra 34E2.2 Algebraic manipulation 287E2.3 Algebraic fractions 80E2.4 Indices II 26E2.5 Equations 326E2.6 Inequalities 86E2.7 Sequences 84E2.8 Proportion 14E2.9 Graphs in practical situations 23E2.10 Graphs of functions 116E2.11 Sketching curves 7E2.12 Differentiation 50E2.13 Functions 93

E3 · Coordinate geometry

E3.1 Coordinates 29E3.2 Drawing linear graphs 12E3.3 Gradient of linear graphs 30E3.4 Length and midpoint 22E3.5 Equations of linear graphs 75E3.6 Parallel lines 5E3.7 Perpendicular lines 15

E4 · Geometry

E4.1 Geometrical terms 30E4.2 Geometrical constructions 33E4.3 Scale drawings 20E4.4 Similarity 63E4.5 Symmetry 21E4.6 Angles 123E4.7 Circle theorems I 85E4.8 Circle theorems II 7

E5 · Mensuration

E5.1 Units of measure 14E5.2 Area and perimeter 143E5.3 Circles, arcs and sectors 94E5.4 Surface area and volume 129E5.5 Compound shapes and parts of shapes 39

E6 · Trigonometry

E6.1 Pythagoras’ theorem 63E6.2 Right-angled triangles 107E6.3 Exact trigonometric values 8E6.4 Trigonometric functions 48E6.5 Non-right-angled triangles 89E6.6 Pythagoras’ theorem and trigonometry 45

E7 · Transformations and vectors

E7.1 Transformations 114E7.2 Vectors in two dimensions 191E7.3 Magnitude of a vector 14E7.4 Vector geometry 19

E8 · Probability

E8.1 Introduction to probability 113E8.2 Relative and expected frequencies 21E8.3 Probability of combined events 80E8.4 Conditional probability 4

E9 · Statistics

E9.1 Classifying statistical data 13E9.2 Interpreting statistical data 44E9.3 Averages and measures of spread 131E9.4 Statistical charts and diagrams 54E9.5 Scatter diagrams 23E9.6 Cumulative frequency diagrams 30E9.7 Histograms 32