IGCSE Mathematics

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IGCSE Mathematics (0580) covers number, algebra and graphs, coordinate geometry, geometry, mensuration, trigonometry, transformations and vectors, probability and statistics.

Entry splits between Core and Extended, and Extended reaches noticeably further in algebra and trigonometry — confirm your tier before choosing what to practise.

Method marks are given for written work. A numerically wrong answer can still score most of the marks if the working is visible, and a correct answer with no working can score fewer. Writing every line is not neatness — it is points.

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Past Papers

1
Number
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- 1.1 Types of number
- 1.2 Sets and Venn diagrams
- 1.3 Powers and roots
- 1.7 The laws of indices
- 1.8 Standard form
- 1.18 Surds (Extended)
- 1.4 Fractions, decimals and percentages
- 1.6 The four operations
- 1.5 Ordering
- 1.13 Percentages
- 1.17 Exponential growth and decay (Extended)
- 1.11 Ratio and proportion
- 1.12 Rates and average speed
- 1.9 Rounding and estimation
- 1.10 Limits of accuracy
- 1.15 Time
- 1.16 Money
- 1.14 Using a calculator
- 1.14 Exam tips
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2
Algebra and graphs
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- 2.1 Working with algebra
- 2.2 Simplifying and expanding
- 2.2 Factorising
- 2.2 Completing the square (Extended)
- 2.3 Algebraic fractions (Extended)
- 2.4 Indices in algebra
- 2.5 Equations
- 2.6 Inequalities
- 2.7 Sequences
- 2.8 Direct and inverse proportion (Extended)
- 2.9 Graphs in practical situations
- 2.10 Graphs of functions
- 2.11 Sketching curves
- 2.12 Differentiation (Extended)
- 2.13 Functions (Extended)
- 2.13 Exam tips
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3
Coordinate geometry
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- 3.1 Coordinates
- 3.5 The equation of a straight line
- 3.3 Gradient
- 3.2 Drawing a straight-line graph
- 3.5 Finding the equation of a line
- 3.4 Length and midpoint (Extended)
- 3.6 Parallel lines
- 3.7 Perpendicular lines (Extended)
- 3.7 Exam tips
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4
Geometry
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- 4.1 Lines and angles
- 4.6 Angle facts
- 4.6 Angles in parallel lines
- 4.1 Triangles
- 4.1 Quadrilaterals
- 4.6 Polygons
- 4.5 Symmetry
- 4.1 Circles: the parts
- 4.7 4.8 Circle theorems
- 4.4 Similar shapes
- 4.6 Bearings
- 4.2 4.3 Constructions, nets and solids
- 4.2 4.3 Exam tips
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5
Mensuration
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- 5.1 Units of measure
- 5.2 Perimeter and area of basic shapes
- 5.3 Circles
- 5.3 Arcs and sectors
- 5.4 Surface area and volume of solids
- 5.5 Compound shapes and parts of shapes
- 5.5 Exam tips
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6
Trigonometry
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- 6.1 Pythagoras' theorem
- 6.2 Trigonometry in right-angled triangles
- 6.2 Angles of elevation and depression (Extended)
- 6.3 Exact trigonometric values (Extended)
- 6.4 Graphs and trigonometric equations (Extended)
- 6.5 The sine and cosine rules (Extended)
- 6.6 Pythagoras and trigonometry in 3D (Extended)
- 6.6 Exam tips
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7
Transformations and vectors
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- 7.1 Transformations
- 7.2 Vectors in two dimensions (Extended)
- 7.3 Magnitude of a vector (Extended)
- 7.4 Vector geometry (Extended)
- 7.4 Exam tips
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8
Probability
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- 8.1 The probability scale
- 8.2 Relative frequency and expected frequency
- 8.3 Combined events
- 8.4 Conditional probability (Extended)
- 8.4 Exam tips
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9
Statistics
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- 9.1 9.2 Collecting and showing data
- 9.3 Averages and range
- 9.3 Averages from a frequency table
- 9.3 Measures of spread (Extended)
- 9.4 Charts and diagrams
- 9.5 Scatter diagrams and correlation
- 9.6 Cumulative frequency diagrams (Extended)
- 9.7 Histograms (Extended)
- 9.7 Exam tips
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