Mastering Surds

Mastering Surds

A Step By Step Guide for Students and Teachers.

This book is designed to help high school students (Years 9-12) systematically master the laws and principles of surds/radicals.

With progressively more challenging concepts introduced each year, it serves as a long-term resource that students can revisit as they advance in their mathematical studies.

This book covers the syllabus content on surds required at all stages and levels of high school.

The initial sections introduce elementary rules, which are developed in complexity with the introduction of additional laws and strategies.

The final and extension sections include challenging questions which develop problem-solving strategies, extend capable students and prepare them for senior school exams and mathematics competitions.

Although focussed on surds/radicals, the book also requires a basic understanding of algebraic techniques.

It is suitable for all secondary students and caters to a wide range of abilities. Students can progress systematically year by year, depending on their ability, thereby strengthening their mathematical understanding of this topic.

The final sections of the book, including review and extension exercises, provide challenging problems for advanced learners and senior students.

These problems require deeper mathematical insight, logical reasoning, and problem-solving finesse.

Fully worked or guided solutions are provided to support independent learning.

This workbook is part of a new series co-authored by Anne Joshua and Heidi Postle and marks a new collaboration between Heidi and Anne, combining their expertise to create a
structured, progressive approach to mastering surds.

Anne Joshua is the author of the successful Mastering HSC Mathematics, Enrichment Maths for Secondary School Students, and the Enrich-e-matics series (Books 1–6 for primary students).
Each book in this series focuses on a specific mathematical topic, providing carefully graded exercises and comprehensive study material that supports independent learning and
exam preparation.

By systematically building on key concepts, this series ensures students develop a deep and lasting understanding of mathematics.

All questions have answers, and the more challenging and review questions include guided solutions to support independent learning and deepen understanding.

Series: Mastering Indices - Mastering Surds - Mastering Logarithms