Build confidence for the Extended part of the latest Cambridge IGCSE syllabus (0580) with the trusted and rigorous approach of Complete Mathematics, now in its Fifth Edition. From renowned author David Rayner, the practice-based approach ensures top Cambridge IGCSE results.

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.

`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

Be confident of full syllabus support with a comprehensive mapping grid drawn directly from the latest syllabus, for examination from 2020. Get students ready for their exams with a wealth of practice material and careful question progression Support students' learning with additional practice and revision checklists available on the accompanying support site Ensure thorough comprehension with worked examples that demonstrate how problems are solved Strengthen foundations for further study with clear explanations that build understanding Engage students with a full colour design and plenty of international examples

Be confident of full syllabus support with a comprehensive mapping grid drawn directly from the latest syllabus, for examination from 2020. Get students ready for their exams with a wealth of practice material and careful question progression Support students' learning with additional practice and revision checklists available on the accompanying support site Ensure thorough comprehension with worked examples that demonstrate how problems are solved Strengthen foundations for further study with clear explanations that build understanding Engage students with a full colour design and plenty of international examples