IGCSE Mathematics
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Numbers
Types of numbers
Sets
Power 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
Algebra and Graphs
Basic algebra
Algebraic manipulations
Algebraic fractions
Indices II
Equations
Inequalities
Sequences
Proportion
Graphs in practical situations
Graphs of functions
Sketching a curve
Differentiation
Functions
Coordinate Geometry
Coordinates
Drawing linear graphs
Gradient of linear graphs
Length and midpoint
Equations of linear graphs
Parallel and perpendicular lines
Mensuration
Unit of measure
Area and perimeter
Circle, arcs, and sectors
Surface area and volume
Compound shapes
Geometry
Geometrical terms
Geometrical constructions
Scale drawing
Similarity
Symmetry
Angles
Circle theorems
Trigonometry
Pythagoras' theorems
Right-angled triangles
Exact trigonometric values
Trigonometric functions
Non-right-angled triangles
Pythagoras' theorems and trigonometry in 3D shapes
Full-length Papers
Paper 1 (Core)
Paper 2 (Extended)
Paper 3 (Core)
Paper 4 (Extended)
Transformations and Vectors
Transformations
Vector in two dimensions
Magnitude of a vector
Vector geometry
Probability
Basic probability
Relative and expected frequencies
Probability of combined events
Conditional probability
Statistics
Classifying and interpreting statistical data
Averages and measures of spread
Statistical charts and diagrams
Scatter diagrams
Cumulative frequency
Histogram
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