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Complete Mathematics for Cambridge IGCSE® Student Book (Core)

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

Author David Rayner, Author Ian Bettison, and Author Mathew Taylor

Suitable for:  Students of Cambridge IGCSE Mathematics (0580)

Price:  £30.99

ISBN: 978-0-19-842504-5
Publication date: 12/04/2018
Paperback: 432 pages
Dimensions: 246x189mm

Evaluation copies must be ordered on a school account.
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Build confidence for 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.


  • 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

This page was last updated on 13 April 2021 at 04:30 GMT


  • 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 of Complete Mathematics (Third Edition), Amazon
  • Of the 33 students in one of our IGCSE Extended Maths class last year, 25 got A passes (including 8 A*'s with one student on 100%) which is a credit to the comprehensive quality of the Rayner (Complete Mathematics) textbook. - Mathematics Teacher of Complete Mathematics (Third Edition), New Zealand
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Table of Contents

Syllabus matching grid
1 Shape and space 1
1.1: Accurate drawing
1.2: Angle facts
1.3: Angles in polygons and circles
1.4: Symmetry
1.5: Circle calculations
1.6: Arc length and sector area
1.7: Area
1.8: Volume and surface area
1.9: Scale drawing
Revision exercise 1A
Examination-style exercise 1B
2 Algebra 1
2.1: Sequences
2.2: Solving equations
2.3: Drawing graphs
2.4: Gradient, y = mx + c
Revision exercise 2A
Examination-style exercise 2B
3 Number 1
3.1: Place value
3.2: Arithmetic without a calculator
3.3: Inverse operations
3.4: Decimals
3.5: Flow diagrams
3.6: Properties of numbers
3.7: Inequalities
3.8: Time
3.9: Long multiplication and division
3.10: Percentages
3.11: Map scales and ratio
3.12: Proportion
3.13: Speed, distance and time
3.14: Approximations
3.15: Metric units
3.16: Problems 1
Revision exercise 3A
Examination-style exercise 3B
Displaying data
4 Handling data 1
4.1: Averages
4.2: Frequency polygons
4.3: Revision exercise 4A
4.4: Examination-style exercise 4B
5 Shape and space 2
5.1: Transforming shapes
5.2: Quadrilaterals and other polygons
5.3: Bearings

5.4: Locus
5.5: Pythagoras' theorem
5.6: Problems 2
Revision exercise 5A
Examination-style exercise 5B
6 Algebra 2
6.1: Finding a rule
6.2: Simultaneous equations
6.3: Interpreting graphs
6.4: Brackets and factors
6.5: Changing the subject of a formula
Revision exercise 6A
Examination-style exercise 6B
7 Number 2
7.1: Percentage change
7.2: Fractions, ratio, decimals and percentage
7.3: Estimating
7.4: Errors in measurement
7.5: Mental arithmetic
7.6: Using a calculator
Revision exercise 7A
Examination-style exercise 7B
8 Probability
8.1: Probability of an event
8.2: Exclusive events
8.3: Relative frequency
8.4: Venn diagrams
8.5: Probability diagrams
Revision exercise 8A
Examination-style exercise 8B
9 Shape and space 3
9.1: Similar shapes
9.2: Trigonometry in right-angled triangles
Revision exercise 9A
Examination-style exercise 9B
10 Number 3
10.1: Powers and roots
10.2: Standard form
10.3: Fractions
10.4: Negative numbers
10.5: Substituting into formulae
10.6: Problems 3
Revision exercise 10A
Examination-style exercise 10B
11 Using and applying mathematics
11.1: Investigation tasks
11.2: Puzzles and games
12 Multiple choice tests
Examination-style Paper 1
Examination-style Paper 3