Complete Mathematics for Cambridge IGCSE (R) Student Book


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Stretching support for the latest Cambridge IGCSE Mathematics syllabus (0580)

Table of Contents

Syllabus matching grid Introduction 1 Number 1.1: Arithmetic 1.2: Number facts and sequences 1.3: Approximations and estimation 1.4: Standard form 1.5: Ratio and proportion 1.6: Percentages 1.7: Speed, distance and time 1.8: Mixed problems 1.9: Calculator Revision exercise 1A Examination-style exercise 1B 2 Algebra 1 2.1: Negative numbers 2.2: Directed numbers 2.3: Formulae 2.4: Brackets and simplifying 2.5: Linear equations 2.6: Problems solves by linear equations 2.7: Simultaneous equations 2.8: Problems solved by simultaneous equations 2.9: Factorising 2.10: Quadratic equations 2.11: Problems solved by quadratic equations 2.12: Non-linear simultaneous equations Revision exercise 2A Examination-style exercise 2B 3 Mensuration 3.1: Area 3.2: The circle 3.3: Arc length and sector area 3.4: Chord of a circle 3.5: Volume 3.6: Surface area Revision exercise 3A Examination-style exercise 3B 4 Geometry 4.1: Fundamental results 4.2: Pythagoras' theorem 4.3: Symmetry 4.4: Similarity 4.5: Congruence 4.6: Circle theorems 4.7: Constructions 4.8: Nets Revision exercise 4A Examination-style exercise 4B 5 Algebra 2 5.1: Algebraic fractions 5.2: Changing the subject of a formula 5.3: Variation 5.4: Indices 5.5: Inequalities 5.6: Linear programming Revision exercise 5A Examination-style exercise 5B 6 Trigonometry 6.1: Right-angled triangles 6.2: Scale drawing 6.3: Three-dimensional problems 6.4: Sine, cosine and tangent for any angle 6.5: The sine rule 6.6: The cosine rule Revision exercise 6A Examination-style exercise 6B 7 Graphs 7.1: Drawing accurate graphs 7.2: Gradients 7.3: The form y = mx + c 7.4: Plotting curves 7.57.5: Interpreting graphs 7.6: Graphical solution of equations 7.7: Distance-time graphs 7.8: Speed-time graphs 7.9: Differentiation Revision exercise 7A Examination-style exercise 7B 8 Sets, vectors and functions 8.1: Sets 8.2: Logical problems 8.3: Vectors 8.4: Column vectors 8.5: Vector geometry 8.6: Functions 8.7: Simple transformations 8.8: Combined transformations Revision exercise 8A Examination-style exercise 8B 9 Statistics 9.1: Data display 9.2: Mean, median and mode 9.3: Scatter graphs 9.4: Box-and-whisker plots 9.5: Cumulative frequency 9.6: Comparing data sets Revision exercise 9A Examination-style exercise 9B 10 Probability 10.1: Simple probability 10.2: Relative frequency 10.3: Exclusive and independent events 10.4: Tree diagrams 10.5: Probability from Venn diagrams 10.6: Conditional probability Revision exercise 10A Examination-style exercise 10B 11 Investigations, practical problems, puzzles 11.1: Investigations 11.2: Practical problems 11.3: Puzzles and experiments 12 Revision tests Examination-style Paper 2 Examination-style Paper 4 Answers Index


`Of the 33 students in one of our IGCSE Extended Maths class last year, 25 got A passes (including 8 A*'s and one student on 100%) which is a credit to the comprehensive quality of the Rayner (Complete Mathematics) textbook.' Mathematics Teacher, New Zealand `This is the best Maths book for Cambridge IGCSE Extended. My son was struggling with Maths and was getting about 35% in Core Maths tests. After working through this book he is now scoring above 80% for Extended Maths tests. Any type of question you can possibly imagine could be asked in an exam is in this book.' Parent review, Amazon

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