The third edition fully covers both Core and Extended content through the 'spiral' approach, where students build on their previous learning as they progress through the course. In addition to a wealth of practice questions and support for English as a second language learners, we have included a number of projects to encourage students to put their theory into practice provided by NRICH – a collaboration between the Faculties of Mathematics and Education at the University of Cambridge. Answers are available on Cambridge GO.

Introduction; 1. Review of number concepts; 2. Making sense of algebra; 3. Lines, angles and shapes; 4. Collecting, organising and displaying data; 5. Fractions, percentages and standard form; 6. Equations, factors and formulae; 7. Perimeter, area and volume; 8. Introduction to probability; 9. Sequences, surds and sets; 10. Straight lines and quadratic equations; 11. Pythagoras' theorem and similar shapes; 12. Averages and measures of spread; 13. Understanding measurement; 14. Further solving of equations and inequalities; 15. Scale drawings, bearings and trigonometry; 16. Scatter diagrams and correlation; 17. Managing money; 18. Curved graphs; 19. Symmetry; 20. Histograms and cumulative frequency diagrams; 21. Ratio, rate and proportion; 22. More equations, formulae and functions; 23. Transformations and vectors; 24. Probability using tree diagrams and Venn diagrams; Answers; Glossary.