NSW Year 9 Maths Advanced - Coursebook
Year 9 Advanced pushes further — harder questions, extension work and problems that take several steps to unpick. Every method is shown in full, with a fully worked solution for every question.
Both formats: a fully worked solution for every question · QR-code video tutorials · aligned to the NSW Year 7 syllabus
The Challenge
Year 9 Advanced Maths builds on Year 8 concepts with more challenging questions and extension work. Students are expected to apply ideas across multiple steps, reason more deeply, and solve less familiar problems — which can be demanding without clear guidance.
Our Solution
The Class Mathematics NSW Year 9 Advanced Maths Coursebook continues the Year 8 content with increased depth and challenge. Each topic is explained clearly and followed by progressively harder questions, helping students develop strong problem-solving skills and mathematical confidence.
Why This Book Works
- Extension and higher-order questions throughout – designed for advanced pathways
- Fully worked solutions for every question – clear, logical methods students can learn from
- Clear explanations focused on reasoning and application
- Hyperlinked solutions in the digital edition – move easily between questions and worked solutions
- Video support via QR codes – additional explanation for more challenging concepts
- Fully aligned to the NSW Year 9 Advanced Mathematics syllabus
- Instant digital access – or printed book with free shipping
Who This Book Is For
This book contains 14 chapters and includes the following topics:
- 1 Pythagoras Theorem
- 2 Working with Numbers
- 3 Algebra: Expanding and Factorising
- 4 Trigonometry
- 5 Indices and Scientific Notation
- 6 Properties of Geometric Figures
- 7 Equations
- 8 Earning Money
- 9 Coordinate Geometry and Graphs
- 10 Surface Area and Volume
- 11 Congruence and Similar Figures
- 12 Probability
- 13 Investigating Data
- 14 Quadratics
Each chapter includes clear theory, worked examples, graded practice questions, and fully worked solutions. QR codes throughout link to short video tutorials for additional support.
Pythagoras Theorem
- Finding the Hypotenuse
- Finding the Shorter Side
- Surds and Irrational Numbers
- Simplifying Surds
- Adding and Subtracting Surds
- Multiplying and Dividing Surds
- Pythagoras Theorem Problems
- Testing Right-Angled Triangles
- Pythagorean Triads
Working with Numbers
- Terminating and Recurring Decimals
- Converting Recurring Decimals to Fractions
- Operations with Percentages
- Percentages and Money
- Simple Interest
- Ratios and Rates
- Converting Rates
Algebra: Expanding and Factorising
- Multiply and Divide Algebraic Fractions
- Adding and Subtracting Algebraic Fractions
- Expanding and Simplifying
- Expanding Binomial Products
- Simple Factorising (Factorising Expressions)
- Factorising Special Binomial Products
- Factorising Quadratic Expressions
- Mixed Factorisations
- Factorising Algebraic Fractions
Trigonometry
- Trig Ratios
- Finding Unknown Side
- Finding Unknown Angle
- Finding a Side (Unknown Denominator)
- Angles of Elevation and Depression
- Bearings
- Trig Problems
Indices and Scientific Notation
- Multiplying and Dividing using Indices
- Zero Index
- Power of a Power
- Summary of Index Laws
- Negative Indices
- Fractional Indices
- Mixed Index Law Questions
- Scientific Notation
- Significant Figures
Properties of Geometric Figures
- Triangle Geometry
- Quadrilateral Geometry
- Angle Sum of Polygon
- Exterior Angle of Polygon
- Line and Rotational Symmetry
- Transformations on the Number Plane
- Networks
- Planar Graphs and Euler's formula
- Network Travels
Equations
- Variables on One Side
- Variables on Both Sides
- Equations with Brackets
- Using Formulae
- Equation Problems
- Equations with Algebraic Fractions
- Quadratic Equations
- Changing the Subject of a Formula
Earning Money
- Wages and Salaries
- Overtime
- Commission, Piecework and Leave Loading
- Income Tax
- PAYG and Net Pay
Coordinate Geometry and Graphs
- Length of an Interval
- Midpoints
- Gradient of a Line
- Graphing Linear Equations
- The Gradient Intercept Equation
- Finding the Equation of a Line
- Solving Linear Equations Graphically
- Direct Proportion
- Applying Linear Equations
- Graphing ax^2+bx+c
- Applications of Parabolas
- Graphs of Circles
Surface Area and Volume
- Metric Units
- Limits of Accuracy
- Accuracy of Measuring Instruments
- Perimeters and Areas of Composite Shapes
- Areas of Quadrilaterals
- Circumferences and Areas of Circular Shapes
- Surface Area of a Prism
- Surface Area of a Cylinder
- Volumes of Prisms and Cylinders
- Volumes of Pyramids and Cones
Congruence and Similar Figures
- Congruent Figures
- Tests for Congruent Triangles
- Congruent Triangle Proofs
- Similar Figures
- Properties of Similar Figures
- Scale Diagrams
- Areas of Similar Figures
- Tests for Similar Triangles
Probability
- Probability
- Relative Frequency
- Venn Diagrams
- Two-way Tables
- Two-step Experiments
Investigating Data
- The Mean, Median, Mode and Range
- Histograms and Stem-and-Leaf Plots
- The Shape of a Distribution
- Comparing Data Sets
- Sampling and Types of Data
- Bias and Questionnaires
Quadratics
- Expanding Quadratic Expressions
- Factorising Monic Quadratic Trinomials
- Factorising Non-Monic Quadratic Trinomials
- Factorising Special Binomial Products
- Factorising by Completing the Square
- Solving Quadratics by Factorising
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