About the Book

This book contains fully worked solutions for every question in each chapter of our textbook Mathematics for Australia 10A.

In this book, where applicable, each worked solution is modelled on the worked example in the textbook. Correct answers can sometimes be obtained by different methods.

Year Published: 2013
Page Count: 640
ISBN: 978-1-921972-25-6 (9781921972256)
Online ISBN: 978-1-922416-04-9 (9781922416049)

View table of contents
Sample Chapters
8. Formulae
12. Trigonometry

Table of Contents

Mathematics for Australia 10A Worked Solutions

1	INDICES	5
2	ALGEBRAIC EXPANSION AND FACTORISATION	21
3	RADICALS	52
4	ALGEBRAIC FRACTIONS	71
5	LINEAR EQUATIONS AND INEQUALITIES	94
6	PYTHAGORAS' THEOREM	132
7	MEASUREMENT	158
8	FORMULAE	187
9	CONGRUENCE AND SIMILARITY	212
10	QUADRATIC EQUATIONS	235
11	COORDINATE GEOMETRY	274
12	TRIGONOMETRY	310
13	STATISTICS	339
14	FINANCIAL MATHEMATICS	368
15	NON-RIGHT ANGLED TRIANGLE TRIGONOMETRY	383
16	SIMULTANEOUS EQUATIONS	403
17	PROBABILITY	429
18	RELATIONS AND FUNCTIONS	464
19	QUADRATIC FUNCTIONS	476
20	EXPONENTIAL FUNCTIONS AND LOGARITHMS	507
21	GEOMETRY OF CIRCLES	528
22	POLYNOMIALS	544
23	ADVANCED TRIGONOMETRY	568
24	CONIC SECTIONS	597
25	BIVARIATE STATISTICS	626

Authors

Sandra Haese
Anna Rijken
Gregory Olesinski

Author

Sandra Haese

Sandra completed a Bachelor of Science at the University of Adelaide, majoring in Pure Mathematics and Statistics. She taught at Underdale High School and Westminster School before founding Haese and Harris Publications (now Haese Mathematics), together with husband Robert (Bob) and colleague Kim Harris.

What drew you to the field of mathematics?

I always found mathematics the easiest subject at school. I’m not sure why. I intended to study Chemistry at university, but found I didn’t enjoy it as much as I thought I would – so I came back to mathematics, and have been involved with it ever since.

What motivated you to switch from teaching to writing mathematics books?

Bob used to write notes for his class. Other teachers at the school used the notes, then teachers at other schools started asking for them. Eventually Bob said, “Well, I might as well start writing textbooks!”

Initially, I was proofreading. As the workload increased, I began editing as well as proofreading. It just gradually became a full-time job, between writing material, editing and proofreading it, and then distributing the books. These days, Michael does the editing and I do proofreading and audio.

How has the field of textbook publishing changed in the years since you started?

When we started, text was typed and worked solutions were handwritten. Bob would draw any graphics by hand.

We moved to typesetting, but writing a mathematics textbook with the printing tools available presented its own difficulties. For example, symbols had to be copied, cut and pasted by hand onto the original pages, which was very tedious and time-consuming! Fractions were also problematic: we would type a line containing all the numerators, and then a line underneath for all the denominators.

Now it’s all done by computers, which is very much easier, and quicker!

What interests you outside mathematics?

I own a few alpacas. I enjoy my garden - I don’t do much in it, but I enjoy it! I like listening to music; mainly classical, but I enjoy other genres as well.

I really love to travel. The scenery, the history of a place, its architecture, its art – all of those things fascinate me. As a result I also enjoy photography; I like taking pictures of the things I’ve seen and places I’ve experienced.

Author