Jacaranda Maths Quest 10 + 10A for the Australian Curriculum

Contents
Introduction
About eBookPLUS
Acknowledgements
Chapter 1 Indices
	Are you ready?
	Review of index laws
		Exercise 1A Review of index laws
	Negative indices
		Exercise 1B Negative indices
	Fractional indices
		Exercise 1C Fractional indices
	Combining index laws
		Exercise 1D Combining index laws
	Summary
	Chapter review
	Activities
Chapter 2 Linear algebra
	Are you ready?
	Substitution
		Exercise 2A Substitution
	Adding and subtracting algebraic fractions
		Exercise 2B Adding and subtracting algebraic fractions
	Multiplying and dividing algebraic fractions
		Exercise 2C Multiplying and dividing algebraic fractions
	Solving linear equations
		Exercise 2D Solving linear equations
	Solving equations with algebraic fractions and multiple brackets
		Exercise 2E Solving equations with algebraic fractions and multiple brackets
	Summary
	Chapter review
	Activities
Chapter 3 Coordinate geometry
	Are you ready?
	Sketching linear graphs
		Exercise 3A Sketching linear graphs
	Determining linear equations
		Exercise 3B Determining linear equations
	The distance between two points on a straight line
		Exercise 3C The distance between two points  on a straight line
	The midpoint of a line segment
		Exercise 3D The midpoint of a line segment
	Parallel and perpendicular lines
		Exercise 3E Parallel and perpendicular lines
	Summary
	Chapter review
	Activities
Chapter 4 Simultaneous linear equations and inequations
	Are you ready?
	Graphical solution of simultaneous linear equations
		Exercise 4A Graphical solution of simultaneous linear equations
	Solving simultaneous linear equations using substitution
		Exercise 4B Solving simultaneous linear equations using  substitution
	Solving simultaneous linear equations using elimination
		Exercise 4C Solving simultaneous linear equations using  elimination
	Problem solving using simultaneous linear equations
		Exercise 4D Problem solving using simultaneous linear equations
	Solving linear inequations
		Exercise 4E Solving linear inequations
	Sketching linear inequations
		Exercise 4F Sketching linear inequations
	Solving simultaneous linear inequations
		Exercise 4G Solving simultaneous linear inequations
	Summary
	Chapter review
	Activities
Chapter 5 Trigonometry I
	Are you ready?
	Pythagoras’ theorem
		Exercise 5A Pythagoras’ theorem
	Pythagoras’ theorem in three dimensions
		Exercise 5B Pythagoras’ theorem in three dimensions
	Trigonometric ratios
		Exercise 5C Trigonometric ratios
	Using trigonometry to calculate side lengths
		Exercise 5D Using trigonometry to calculate side lengths
	Using trigonometry to calculate angle size
		Exercise 5E Using trigonometry to calculate angle size
	Angles of elevation and depression
		Exercise 5F Angles of elevation and depression
	Bearings and compass directions
		Exercise 5G Bearings and compass directions
	Applications
		Exercise 5H Applications
	Summary
	Chapter review
	Activities
Chapter 6 Surface area and volume
	Are you ready?
	Area
		Exercise 6A Area
	Total surface area
		Exercise 6B Total surface area
	Volume
		Exercise 6C Volume
	Summary
	Chapter review
	Activities
Chapter 7 Quadratic expressions
	Are you ready?
	Expanding algebraic expressions
		Exercise 7A Expanding algebraic expressions
	Factorising expressions with three terms
		Exercise 7B Factorising expressions with three terms
	Factorising expressions with two or four terms
		Exercise 7C Factorising expressions with two or four terms
	Factorising by completing the square
		Exercise 7D Factorising by completing the square
	Mixed factorisation
		Exercise 7E Mixed factorisation
	Summary
	Chapter review
	Activities
Chapter 8 Quadratic equations
	Are you ready?
	Solving quadratic equations
		Exercise 8A Solving quadratic equations
	The quadratic formula
		Exercise 8B The quadratic formula
	Solving quadratic equations by inspecting graphs
		Exercise 8C Solving quadratic equations by inspecting graphs
	Finding solutions to quadratic equations by interpolation and using the discriminant
		Exercise 8D Finding solutions to quadratic equations by interpolation and using the discriminant
	Solving a quadratic equation and a linear equation simultaneously
		Exercise 8E Solving a quadratic equation and a linear equation simultaneously
	Summary
	Chapter review
	Activities
Chapter 9 Functions
	Are you ready?
	Plotting parabolas
		Exercise 9A Plotting parabolas
	Sketching parabolas using the basic graph of y = x 2
		Exercise 9B Sketching parabolas using the basic  graph of y = x 2
	Sketching parabolas in turning point form
		Exercise 9C Sketching parabolas in turning point form
	Sketching parabolas of the form y = ax 2 + bx + c
		Exercise 9D Sketching parabolas of the form y = ax 2 + bx + c
	Exponential functions and their graphs
		Exercise 9E Exponential functions and their graphs
	The hyperbola
		Exercise 9F The hyperbola
	The circle
		Exercise 9G The circle
	Summary
	Chapter review
	Activities
Chapter 10 Deductive geometry
	Are you ready?
	Congruence review
		Exercise 10A Congruence review
	Similarity review
		Exercise 10B Similarity review
	Congruence and proof
		Exercise 10C Congruence and proof
	Quadrilaterals: definitions and properties
		Exercise 10D Quadrilaterals: definitions and properties
	Quadrilaterals and proof
		Exercise 10E Quadrilaterals and proof
	Summary
	Chapter review
	Activities
	ICT Activity
Chapter 11 Problem solving I
Chapter 12 Probability
	Are you ready?
	Review of probability
		Exercise 12A Review of probability
	Complementary and mutually exclusive events
		Exercise 12B Complementary and mutually exclusive events
	Two-way tables and tree diagrams
		Exercise 12C Two-way tables and tree diagrams
	Independent and dependent events
		Exercise 12D Independent and dependent events
	Conditional probability
		Exercise 12E Conditional probability
	Subjective probability
		Exercise 12F Subjective probability
	Summary
	Chapter review
	Activities
Chapter 13 Univariate data
	Are you ready?
	Measures of central tendency
		Exercise 13A Measures of central tendency
	Measures of spread
		Exercise 13B Measures of spread
	Box-and-whisker plots
		Exercise 13C Box-and-whisker plots
	The standard deviation
		Exercise 13D The standard deviation
	Comparing data sets
		Exercise 13E Comparing data sets
	Skewness
		Exercise 13F Skewness
	Summary
	Chapter review
	Activities
Chapter 14 Bivariate data
	Are you ready?
	Identifying related pairs of variables
		Exercise 14A Identifying related pairs of variables
	Graphing bivariate data
		Exercise 14B Graphing bivariate data
	Scatterplots
		Exercise 14C Scatterplots
	Summary
	Chapter review
	Activities
Chapter 15 Statistics in the media
	Are you ready?
	Populations and samples
		Exercise 15A Populations and samples
	Primary and secondary data
		Exercise 15B Primary and secondary data
	Evaluating inquiry methods and statistical reports
		Exercise 15C Evaluating inquiry methods and statistical reports
	Statistical investigations
		Exercise 15D Statistical investigations
	Summary
	Chapter review
	Activities
	ICT Activity
Chapter 16 Financial maths
	Are you ready?
	Purchasing goods
		Exercise 16A Purchasing goods
	Buying on terms
		Exercise 16B Buying on terms
	Successive discounts
		Exercise 16C Successive discounts
	Compound interest
		Exercise 16D Compound interest
	Depreciation
		Exercise 16E Depreciation
	Loan repayments
		Exercise 16F Loan repayments
	Summary
	Chapter review
	Activities
Chapter 17 Problem solving II
Chapter 18 Real numbers
	Are you ready?
	Number classification review
		Exercise 18A Number classification review
	Surds
		Exercise 18B Surds
	Operations with surds
		Exercise 18C Operations with surds
	Fractional indices
		Exercise 18D Fractional indices
	Negative indices
		Exercise 18E Negative indices
	Logarithms
		Exercise 18F Logarithms
	Logarithm laws
		Exercise 18G Logarithm laws
	Solving equations
		Exercise 18H Solving equations
	Summary
	Chapter review
	Activities
Chapter 19 Polynomials
	Are you ready?
	Polynomials
		Exercise 19A Polynomials
	Adding, subtracting and multiplying polynomials
		Exercise 19B Adding, subtracting and multiplying polynomials
	Long division of polynomials
		Exercise 19C Long division of polynomials
	Polynomial values
		Exercise 19D Polynomial values
	The remainder and factor theorems
		Exercise 19E The remainder and factor theorems
	Factorising polynomials
		Exercise 19F Factorising polynomials
	Solving polynomial equations
		Exercise 19G Solving polynomial equations
	Summary
	Chapter review
	Activities
Chapter 20 Functions and relations
	Are you ready?
	Functions and relations
		Exercise 20A Functions and relations
	Exponential functions
		Exercise 20B Exponential functions
	Cubic functions
		Exercise 20C Cubic functions
	Quartic functions
		Exercise 20D Quartic functions
	Transformations
		Exercise 20E Transformations
	Summary
	Chapter review
	Activities
Chapter 21 Circle geometry
	Are you ready?
	Angles in a circle
		Exercise 21A Angles in a circle
	Intersecting chords, secants and tangents
		Exercise 21B Intersecting chords, secants and tangents
	Cyclic quadrilaterals
		Exercise 21C Cyclic quadrilaterals
	Tangents, secants and chords
		Exercise 21D Tangents, secants and chords
	Summary
	Chapter review
	Activities
Chapter 22 Trigonometry II
	Are you ready?
	The sine rule
		Exercise 22A The sine rule
	The cosine rule
		Exercise 22B The cosine rule
	Area of triangles
		Exercise 22C Area of triangles
	The unit circle
		Exercise 22D The unit circle
	Trigonometric functions
		Exercise 22E Trigonometric functions
	Solving trigonometric equations
		Exercise 22F Solving trigonometric equations
	Summary
	Chapter review
	Activities
Chapter 23 Interpreting data
	Are you ready?
	Bivariate data
		Exercise 23A Bivariate data
	Lines of best fit
		Exercise 23B Lines of best fit
	Time series
		Exercise 23C Time series
	Summary
	Chapter review
	Activities
Answers
Glossary
Index