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For example:

• the yearly value of a certain investment increases by 7% p.a. Each year the investment is 107% of

Chapter contents

2A Factors and multiples (CONSOLIDATING)

2B Highest common factor and lowest common multiple

2C Divisibility tests

2D Prime numbers

2E Using indices

2F Prime decomposition

2G Squares and square roots

2H Number patterns (CONSOLIDATING)

2I Spatial patterns

2J Tables and rules

2K The Cartesian plane and graphs

NSW Syllabus

In this chapter, students will be working towards achievement of the following syllabus outcomes: develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly (MAO-WM-01) operates with primes and roots, positiveinteger and zero indices involving numerical bases and establishes the relevant index laws (MA4-IND-C-01) creates and displays number patterns and finds graphical solutions to problems involving linear relationships (MA4-LIN-C-01)

© NESA the previous year’s amount, making a sequence with a common ratio of 1.07

• if Australia’s population continues to increase by 1 4% annually, the yearly figures will form a sequence with the common ratio 1 014. Predicting population growth helps governments plan for roads, hospitals, schools etc.

• threatened animal species (such as Leadbeater’s possum or the Mountain pygmy possum) may have small population numbers that are declining with a common ratio. When a sequence is decreasing, the common ratio is a number less than 1

Online resources

A host of additional online resources are included as part of your Interactive Textbook, including HOTmaths content, video demonstrations of all worked examples, auto-marked quizzes and much more.