The number system -- Sets and set notation -- Powers, roots and reciprocals -- Indices -- Directed numbers -- Fractions and decimals -- Standard form -- Rounding and estimating -- Limits of accuracy -- Ratios -- Percentages -- Reverse percentages -- Simple and compound interest -- Using a calculator -- Practical graphs -- Linear graphs -- Patterns and sequences -- Substitution -- Simplifying expressions -- Expanding and factorising -- Solving equations -- Rearranging formulae -- Functions -- Algebraic indices -- Linear programming -- Direct and inverse proportion -- Simultaneous equations -- Quadratic equations -- Algebraic fractions -- Quadratic, cubic and reciprocal graphs -- Gradients and tangents -- Geometric terms -- Angle properties -- Constructions -- Maps and scale drawings -- Congruence and similarity -- Symmetry -- Angle properties of circles -- Locus of points -- Lengths, areas and volumes -- Arc, sector and segment -- Pythagoras' theorem in two dimensions -- Sine, cosine and tangent in right-angled triangles -- Sine and cosine rules -- Three-dimensional trigonometry -- Vectors and vector properties -- Transformations -- Matrices -- Collecting and presenting data -- Measures of central tendency -- Measures of spread and cumulative frequency diagrams -- Histograms- unequal class intervals -- Probability -- The Addition and multiplication rules -- Multiplication rule for dependent events.

Innovative, Interactive, International. Collins IGCSE Mathematics has been developed to give maximum support for students studying for the Cambridge International Examinations GCSE. International examples are used throughout, 'localising' learning. An interactive CD ROM, supporting study and revision, is included.