Updated to cover all aspects of the NSW Stage 6 syllabus.

  • Year Levels 11–12
  • Curriculum NSW
  • Subject Mathematics
  • Resource Formats Print, Digital

What it is

The updated New Senior Mathematics, 3rd Edition comprehensively covers the NSW Stage 6 syllabus and includes new topics, digital technology features, and updated assessment preparation. Resources include:

  • Advanced, Extension 1 and Extension 2 student books with combined and colour coded Year 11 and 12 content
  • an accompanying eBook designed as a digital student book
  • a worked solutions book.

What it includes

Discover how New Senior Mathematics improves teaching outcomes.


Student books

The combined student books include:

  • five sample exam-style papers and solutions per title
  • 15-30 additional questions for every chapter with fully worked solutions
  • two investigation-style assignments per title to support NESA-specified internal assessment tasks
  • teaching programs and curriculum grids to support implementation



The eBook is an electronic textbook that students can access on any device, online or offline. It features digital content and activities, including graphing software and spreadsheets to help students engage on their devices.


Worked solutions books

The student worked solutions book includes all odd numbered solutions. The new edition also comes with worked solutions for every even numbered question in the teacher-only section of the eBook.

Video overviews

Updates to New Senior Mathematics, 3rd Edition

Hear Bob Aus go through the requirements of the new syllabus and the new chapter content of the series.

Video overviews

New Senior Mathematics, 3rd Edition digital assets

Hear from Julian Lumb about the digital assets for the series offer a blended way of teaching and learning.

Table of contents

Mathematics Advanced Year 11 & 12 Student Book

1 Algebraic techniques

2 Trigonometry

3 Further algebraic techniques

4 Functions

5 Equations and functions

6 Further trigonometry

7 Introduction to differentiation

8 Exponential and logarithmic functions

9 Probability

10 Discrete probability distributions

11 Descriptive statistics

12 Trigonometric functions and graphs

13 Differential calculus

14 The first and second derivative

15 Graphing techniques

16 The anti-derivative

17 Integral calculus

18 Financial mathematics

19 Bivariate data analysis

20 Random variables

Table of contents

Mathematics Extension 1 Year 11 & 12 Student Book

1 Further work with functions

2 Polynomials

3 Graphing functions

4 Further trigonometric identities

5 Inverse functions

6 Permutations and combinations

7 Rates of change and their application

8 Trigonometric equations

9 Proof by mathematical induction

10 Vectors in two dimensions

11 Applications of calculus

12 Differential equations

13 Motion, forces and projectiles

14 The binomial distribution

Table of contents

Mathematics Extension 2 Year 12 Student Book

1 Complex numbers

2 The nature of proof

3 Further work on vectors

4 Further integration

5 Mechanics

Meet the authors

J.B. Fitzpatrick’s book New Senior Mathematics, released in 1983, was so popular it remained in print for almost 30 years. It stood the test of time thanks to the quality, rigour and variety of questions, as well as its accuracy and high mathematical standards.

As Fitzpatrick wrote in 1983, “Mathematics, like many other things, is best learnt by doing. A student begins to appreciate the power of mathematics when he or she has achieved a mastery of basic techniques, not after reading lengthy explanations … The emphasis throughout the book is on the understanding of mathematical concepts.”

Bob Aus taught in New South Wales high schools for 40 years, retiring in 2007. Aus taught all courses from years 7-12 up to Level 1/4 unit/Extension 2. He has marked HSC examination papers and has been involved in the Standards Setting Process as Judge and Chief Judge for the three calculus-based courses over four years.

Aus’s first publication was in 1983. He has been involved in writing a range of textbooks and study guides since then, including revising and updating the New Senior Mathematics series in 2013. He was also involved in writing the Pearson National Curriculum books for years 7–10.


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