The content is excellent and is the most comprehensive match to the 0580 extended syllabus that I have reviewed. The experience of the author is apparent in the construction of the chapters, examples and exercises. It is a very valuable resource to teachers that may be teaching 0580 IGCSE as it so closely matches the syllabus.

• Unit 1 Order of operations Directed numbers Multiples, factors, primes, squares and cubes Four rules for fractions Significant figures and decimal places Simplifying algebraic expressions Solving linear equations Constructing formulae Substitution into formulae Gradients and straight line graphs Angle properties Symmetry Polygons Averages and range Frequency tables Examination-style questions Unit 2 Percentages 1 Ratio Indices 1 Solving linear Inequalities Manipulating algebraic fractions The general equation of a straight line Representing linear inequalities on graphs Perimeter and area Pythagoras Area and circumference of a circle Displaying data Examination-style questions Unit 3 Standard form Simultaneous equations 1 Factorising 1 Rearranging formulae 1 Similar triangles Reflections, rotations and translations Enlargements Surface area and volume 1 Probability 1 Examination-style questions Unit 4 Percentages 2 Expanding double brackets Quadratic graphs Bearings Trigonometry Angles of elevation and depression Scatter diagrams Examination-style questions Unit 5 Direct and inverse proportion Increase and decrease in a given ratio Functions Factorising 2 Cubic graphs Surface area and volume 2 Areas of similar shapes Volumes of similar objects Grouped frequency tables Examination-style questions Unit 6 Percentages 3 Speed, distance and time Sets and Venn diagrams Indices 2 Solving quadratic equations by factorisation Reciprocal graphs The gradients of perpendicular lines Circle theorems 1 Probability 2 Examination-style questions Unit 7 Distance-time graphs Speed-time graphs Rearranging formulae 2 Sequences Exponential graphs Sine and cosine ratios for angles up to 180° Area of a triangle Cumulative frequency Examination-style questions Unit 8 Rational and irrational numbers Solving quadratic equations using the formula Further algebraic fractions Variation The sine and cosine rules Histograms Examination-style questions Unit 9 Compound interest and exponential growth and decay Simultaneous equations 2 Linear programming Solving quadratic equations by completing the square Finding turning points of quadratics by completing the square Using graphs to solve equations Vectors and vector geometry Probability 3 Examination-style questions Unit 10 Upper and lower bounds Simultaneous equations 3 Differentiation Expanding more than 2 brackets Trigonometric equations and graphs Circle theorems 2 Shortest distance of a point from a line Stem-and-leaf diagrams Box-and-whisker plots Examination-style questions Answers Index