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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