PDF Revision & Exam Workbook Mathematics Revision Exam
YEAR Mathematics
9 Revision & Exam Workbook Updated Edition for the Australian Curriculum Over 100 Units of Work Fifteen Topic Tests and four Exams
Get the Results You Want!
AS Kalra
YEAR Mathematics
9 Revision & Exam Workbook
Get the Results You Want!
AS Kalra
? 2006 AS Kalra and Pascal Press Reprinted 2008, 2009, 2010, 2011, 2012
Updated in 2013 for the Australian Curriculum
Reprinted 2014, 2015, 2016
ISBN 978 1 74125 271 2
Pascal Press PO Box 250 Glebe NSW 2037 (02) 8585 4044 .au
Publisher: Vivienne Joannou Project editor: Vivienne Joannou Edited by May McCool, Valerie McCool and Peter McCool Proofread by Diannah Johnston Answers checked by Valerie McCool and Peter Little Typeset by Typecellars Pty Ltd, Grizzly Graphics and Julianne Billington Cover by DiZign Pty Ltd Printed by Green Giant Press
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For details of the CAL licence for educational institutions contact:
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Dedication This book is dedicated to the new generation of young Australians in whose hands lies the future of our nation and who by their hard work, acquired knowledge and intelligence will take Australia successfully through the 21st century.
This book is also in the loving, living and lasting memory of my dear mum, dad and uncle, who will remain a great source of inspiration and encouragement to me for times to come.
Acknowledgements I would especially like to express my thanks and appreciation to my dear wife and son, who have helped me to find the time to write this book. Without their help and support, achievement of all this work would not have been possible.
? Pascal Press ISBN 978 1 74125 271 2
Excel Essential Skills Mathematics Revision & Exam Workbook Year 9
Contents
INTRODUCTION
CHAPTER 1 ? Rates and proportion
Unit 1 Equivalent ratios . . . . . . . . . . . . . . . . . . . . . . . 1 Unit 2 Using ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Unit 3 Rates (1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Unit 4 Rates (2) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Unit 5 Conversion of rates . . . . . . . . . . . . . . . . . . . . 5 Unit 6 Conversion graphs . . . . . . . . . . . . . . . . . . . . . 6 Unit 7 Direct variation (1) . . . . . . . . . . . . . . . . . . . . 7 Unit 8 Direct variation (2) . . . . . . . . . . . . . . . . . . . . 8 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9
CHAPTER 2 ? Algebra
Unit 1 Algebraic expressions . . . . . . . . . . . . . . . . .11 Unit 2 Substitution . . . . . . . . . . . . . . . . . . . . . . . . . . .12 Unit 3 Addition and subtraction of
pronumerals . . . . . . . . . . . . . . . . . . . . . . . . . .13 Unit 4 Multiplication of pronumerals . . . . . . . . . .14 Unit 5 Division of pronumerals . . . . . . . . . . . . . . .15 Unit 6 Algebraic expressions with grouping
symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16 Unit 7 Substitution into formulae . . . . . . . . . . . .17 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
CHAPTER 3 ? Indices
Unit 1 Index notation (1) . . . . . . . . . . . . . . . . . . . .20 Unit 2 Index notation (2) . . . . . . . . . . . . . . . . . . . .21 Unit 3 Index laws--multiplication
with indices . . . . . . . . . . . . . . . . . . . . . . . . . . .22 Unit 4 Index laws--division with indices . . . . . .23 Unit 5 Index laws--powers of powers . . . . . . . .24 Unit 6 Index laws--the zero index . . . . . . . . . . .25 Unit 7 Index laws . . . . . . . . . . . . . . . . . . . . . . . . . . .26 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
CHAPTER 4 ? Pythagoras' theorem
Unit 1 Hypotenuse of a right-angled triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29
Unit 2 Naming the sides of a right-angled triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30
Unit 3 Selecting the correct Pythagorean rule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31
Unit 4 Squares, square roots and Pythagorean triads . . . . . . . . . . . . . . . . . . . .32
Unit 5 Finding the length of the hypotenuse . . . . . . . . . . . . . . . . . . . . . . . . . . .33
Unit 6 Finding the length of one of the other sides . . . . . . . . . . . . . . . . . . . . . . . . . . .34
Unit 7 Mixed questions . . . . . . . . . . . . . . . . . . . . . . .35 Unit 8 Miscellaneous questions on
Pythagoras' theorem . . . . . . . . . . . . . . . . . .36 Unit 9 Problem solving and Pythagoras'
theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
CHAPTER 5 ? Financial mathematics
Unit 1 Simple interest (1) . . . . . . . . . . . . . . . . . . . .40 Unit 2 Simple interest (2) . . . . . . . . . . . . . . . . . . . .41 Unit 3 Applying the simple interest
formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42 Unit 4 Hire purchase . . . . . . . . . . . . . . . . . . . . . . . . .43 Unit 5 Problem solving and percentages . . . . .44 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
CHAPTER 6 ? Scientific notation
Unit 1 Negative indices . . . . . . . . . . . . . . . . . . . . . .47 Unit 2 Powers of 10 . . . . . . . . . . . . . . . . . . . . . . . . . .48 Unit 3 Scientific notation (1) . . . . . . . . . . . . . . . . .49 Unit 4 Numbers greater than one . . . . . . . . . . . .50 Unit 5 Numbers less than one . . . . . . . . . . . . . . . .51 Unit 6 Scientific notation calculations . . . . . . . .52 Unit 7 Comparing numbers in scientific
notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .53 Unit 8 Significant figures . . . . . . . . . . . . . . . . . . . . .54 Unit 9 Scientific notation (2) . . . . . . . . . . . . . . . . .55 Topic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Contents
iii
? Pascal Press ISBN 978 1 74125 271 2
Excel Essential Skills Mathematics Revision & Exam Workbook Year 9
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