Enrichment Mathematics for Secondary Students Volume 1

Enrichment Mathematics for Secondary Students is a bold, engaging and challenging textbook for ambitious secondary school students and their teachers. Across its two volumes – the first volume is broadly aimed at Years 7 and 8 students and the second at those in Years 9 and 10 – it covers core topics with clear explanations, worked examples, and thoughtfully structured exercises, all beautifully presented. Each chapter combines skill-building with rich, inviting problems that extend well beyond the standard curriculum. Problems are carefully graded, with optional challenges for the mathematically adventurous. Fully worked solutions support deeper understanding, not just quick answers. Whether used in class, in extension programs, or for independent study, this book is designed to build fluency, inspire insight, and cultivate a lifelong love of mathematics.

Volume 1 Table of Contents

Chapter 1 Arithmetic
Chapter 2 Linear Equations
Chapter 3 Percentages, ratios and rates
Chapter 4 Number Theory
Chapter 5 Expansion
Chapter 6 Roots
Chapter 7 Indices
Chapter 8 Factorisation
Chapter 9 Quadratic equations
Chapter 10 Geometry of the plane
Chapter 11 The Pythagorean Theorem
Chapter 12 Measurement
Chapter 13 Coordinate geometry and linear graphs
Chapter 14 Congruence and similarity
Chapter 15 Circle Theorems
Chapter 16 Proof and Set Theory
Answers