Maths Quest 9
for Victoria and
CD-ROM 2E
ISBN: 0 7314 03282 RRP: $49.95
Due for publication: December 2005
The second edition series of Maths Quest for Victoria continues to provide award-winning
features that have been carefully designed to aid student thinking and learning. With the
introduction of the Victorian Essential Learning Standards (VELS) there are now even
more opportunities for deep learning through guided investigations and problem solving.
Student textbook with accompanying CD-ROM
The student textbook and CD-ROM have been thoroughly revised to comprehensively
cover the new essential learning standards.
The key new features in the second edition include:
 an introductory set of questions at the start of each chapter to help establish the
students’ current level of understanding. Each question is supported with a SkillSHEET
to explain the concept involved and provide extra practice if needed.
 a new chapter on problem solving strategies to assist students’ skills in working
mathematically
 multi-level interactive problem solving activities to encourage deeper understanding of
concepts and challenge students’ mathematical thinking and reasoning
 updated and revised interactive technology files to foster ICT skills and aid conceptual
learning
The second edition textbook continues to offer:
 carefully graded exercises with many skill and application problems, multiple choice
questions, sets of 10 Quick Questions, chapter summaries and chapter reviews to
consolidate learning
 Maths Quest challenge questions designed to extend students’ thinking skills
 worked examples in Think/Write format that are carefully matched and crossreferenced to questions throughout the exercises
 puzzles, investigations, history of mathematics and graphics calculator tips (both TI
and Casio)
 a bonus CD-ROM containing the entire student textbook with hyperlinks to hundreds of
interactive technology files, games, skillsheets, worksheets and Test yourself multiple
choice questions. Demonstration versions of programs required for the technology files
are included.
Teacher edition with CD-ROM
The teacher edition book contains everything in the student package plus more, such as:
 answers next to questions in every exercise, investigation and puzzle
 annotated curriculum information

readily accessible and comprehensive VELS planning documents, work programs and
curriculum grid
The teacher edition CD-ROM now contains four tests per chapter with fully worked
solutions, worksheets and their solutions, the VELS planning documents, work programs
and curriculum grid  all in fully editable Word format.
Student Homework Book
The Homework Book is a valuable new addition to the Maths Quest series and
complements the student textbook with a variety of activities including worksheets, rich
tasks and fun code puzzles.
Teacher Support Book
This fully photocopiable resource contains all the worksheets in the Homework Book, plus
teacher support material that includes assessment sheets, a VELS planning grid and extra
activities for students to further develop their skills in working mathematically. All answers
to the worksheets and additional teacher support materials are also provided.
Maths Quest website support  www.jaconline.com.au/mathsquestvic
For each Maths Quest title, the website will provide student online testing, further
investigations and curriculum planning documents.
CONTENTS
Chapter 1
 Ex 1A
 Ex 1B
 Ex 1C
 Ex 1D
 Ex 1E
 Ex 1F
 Ex 1G
 Ex 1H
 Ex 1I
Number skills
Order of operations using integers
Estimation and rounding
Decimal
Fractions
Percentages
Index notation, square roots and higher order roots
Further estimation and calculator use
Ratios
Applications
Chapter 2
 Ex 2A
 Ex 2B
 Ex 2C
 Ex 2D
 Ex 2E
 Ex 2F
Pythagoras’ theorem
Right-angled triangles
Using Pythagoras’ theorem
Finding a shorter side
Composite shapes
Pythagorean triads
Pythagoras in 3-D
Chapter 3
 Ex 3A
 Ex 3B
 Ex 3C
 Ex 3D
Introductory algebra
Using pronumerals
Simplifying algebraic expressions
Algebraic fractions
Substitution and formulas
Chapter 4
 Ex 4A
 Ex 4B
 Ex 4C
 Ex 4D
Indices
Index notation
Multiplication using indices
Division using indices
Zero index
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Ex
Ex
Ex
Ex
4E
4F
4G
4H
Raising a power to another power
Negative indices
Square roots and cube roots
Scientific notation (standard form)
Chapter 5
 Ex 5A
 Ex 5B
 Ex 5C
 Ex 5D
 Ex 5E
 Ex 5F
 Ex 5G
Expanding
Expanding single brackets
Expanding two brackets
Expanding pairs of brackets
Expansion patterns
More complicated expansions
Simplifying algebraic fractions – addition and subtraction
Applications
Chapter 6
 Ex 6A
 Ex 6B
 Ex 6C
 Ex 6D
 Ex 6E
 Ex 6F
 Ex 6G
Factorising
The highest common factor
More factorising using the highest common factor
Factorising using the difference of two squares rule
Quadratic trinomials
More quadratic trinomials
Mixed factorising practice
Simplifying algebraic fractions – multiplication and division
Chapter 7
 Ex 7A
 Ex 7B
 Ex 7C
 Ex 7D
 Ex 7E
 Ex 7F
Solving linear equations
Solving linear equations
Solving equations with pronumerals on both sides
Solving linear equations with brackets
Solving problems with linear equations
Solving linear inequations
Rearranging formulas
Chapter 8
 Ex 8A
 Ex 8B
 Ex 8C
 Ex 8D
 Ex 8E
 Ex 8F
Linear graphs
Plotting graphs
General equation of a straight line
Sketching linear graphs
Determining linear rules
Applications of linear graphs - worded problems
Simultaneous linear equations
Chapter 9
 Ex 9A
 Ex 9B
 Ex 9C
 Ex 9D
 Ex 9E
 Ex 9F
Solving quadratic equations
What are quadratic equations?
Solving quadratic equations of the form (x  a)(x  b) = 0
Solving quadratic equations with 2 terms
Solving quadratic equations with 3 terms
Solving quadratic equations in turning point form: a(x  b)2 + c = 0
Problems and applications using quadratic equations
Chapter 10 Quadratic graphs
 Ex 10A
Key features of the graph of a quadratic function
 Ex 10B
Plotting points to draw graphs of quadratic functions
 Ex 10C
Sketching parabolas of the form y = ax2
 Ex 10D
Sketching parabolas of the form y = ax2 + c
 Ex 10E
Sketching parabolas of the form y = (x  b)2
 Ex 10F
Sketching parabolas of the form y = (x  b)2 + c (turning point form)
 Ex 10G
Sketching parabolas of the form y = (x + a)(x + b) (intercept form)
Chapter 11 Geometry
 Ex 11A
Angle review
 Ex 11B
Sketching and constructing 2-dimensional shapes
 Ex 11C
Drawing 3-dimensional solids
 Ex 11D
Inscribed and circumscribed circles
 Ex 11E
Congruent figures
 Ex 11F
Similar figures
 Ex 11G
Polyhedra construction
Chapter 12 Trigonometry
 Ex 12A
Naming the sides of a right-angled triangle
 Ex 12B
Trigonometric ratios
 Ex 12C
Finding trigonometric ratios using a calculator
 Ex 12D
Finding side lengths
 Ex 12E
Finding the size of an angle
 Ex 12F
Angles of elevation and depression
 Ex 12G
Further applications of trigonometric ratios
Chapter 13 Measurement
 Ex 13A
Errors of measurement
 Ex 13B
Perimeter
 Ex 13C
Area
 Ex 13D
Area and perimeter of a sector
 Ex 13E
Surface area of rectangular and triangular prisms
 Ex 13F
Surface area of a cylinder
 Ex 13G
Surface area of spheres and other solids
 Ex 13H
Volume of prisms and cylinders
 Ex 13I
Volume of pyramids, cones and composite solids
 Ex 13IJ
Volume of spheres and composite solids
Chapter 14 Consumer mathematics
 Ex 14A
Money
 Ex 14B
Wages and salaries
 Ex 14C
Working overtime
 Ex 14D
Piecework
 Ex 14E
Commission and royalties
 Ex 14F
Discount
 Ex 14G
Profit and loss
 Ex 14H
Simple interest
Chapter 15 Probability
 Ex 15A
Introduction to probability
 Ex 15B
Estimating probability
 Ex 15C
Experimental probability
 Ex 15D
Relative frequencies and expected values
 Ex 15E
Theoretical probability of an event
 Ex 15F
Venn diagrams
 Ex 15G
Mutually exclusive and complementary events
 Ex 15H
Odds and payouts
Chapter 16 Statistics
 Ex 16A
Collecting data

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Ex
Ex
Ex
Ex
Ex
Ex
Ex
16B
16C
16D
16E
16F
16G
16H
Histograms and frequency polygons
Stem-and-leaf plots
Measures of central tendency
Grouped data – mean and modal class
Cumulative frequency
Measures of spread
Boxplots
Strategies for problem solving
Introduction to problem solving
Strategies for investigation and problem solving
 Create a table, then look for a pattern or a result
 Draw a diagram, then look for a pattern or a result
 Use a pattern of numbers, making use of technology such as a computer
spreadsheet
 Work backwards from the answer
 Use a process of elimination
 Look at similar but simpler problems
 Use trial and error (guess and check), making use of technology such as a
computer spreadsheet
Communicating, reasoning and reflecting