NSW Year 9 Maths Core- Coursebook
Year 9 Core consolidates the skills from earlier years, but gaps from Year 7 and 8 can make even familiar topics feel hard. Every topic is explained from the ground up, 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 Core Maths focuses on consolidating key skills from earlier years, but many students still lack confidence with the basics. Gaps from Year 7 and 8 can make even familiar topics feel difficult, and students often become discouraged or disengaged.
Our Solution
The Class Mathematics NSW Year 9 Core Maths Coursebook is designed to reinforce foundational skills while introducing new content at a manageable pace. Clear explanations and fully worked solutions help students rebuild confidence and develop reliable methods they can use consistently.
Why This Book Works
- Strong focus on core skills and revision – reinforcing essential Year 7 and 8 concepts
- Fully worked solutions for every question – clear, step-by-step methods students can follow
- Clear explanations focused on understanding – not memorisation
- Hyperlinked solutions in the digital edition – move easily between questions and worked solutions
- Video support via QR codes – extra explanation when students need it
- Fully aligned to the NSW Year 9 Core Mathematics syllabus
- Instant digital access – or printed book with free shipping
Who This Book Is For
This book contains 13 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 Surface Area and Volume
- 7 Equations
- 8 Earning Money
- 9 Properties of Geometric Figures
- 10 Straight Line
- 11 Probability
- 12 Investigating Data
- 13 Congruence and Similar Figures
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
- Squares, Square Roots and Surds
- Pythagoras Theorem
- Finding the Hypotenuse
- Finding the Shorter Side
- Mixed Problems
- Testing Right-Angled Triangles
- Pythagorean Triads
- Pythagoras Theorem Problems
Working with Numbers
- Integers
- Decimals
- Terminating and Recurring Decimals
- Fractions
- Percentages
- 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
- Simple Factorising (Factorising Expressions)
- Expanding Binomial Products
Trigonometry
- Trig Ratios
- Finding Unknown Side
- Finding Unknown Angle
- Finding a Side (Unknown Denominator)
- Using Trig to Solve Problems
Indices and Scientific Notation
- Multiplying and Dividing using Indices
- Zero Index
- Power of a Power
- Summary of Index Laws
- Negative Indices
- Mixed Index Law Questions
- Scientific Notation
- Significant Figures
Surface Area and Volume
- Metric Units
- Limits of Accuracy
- 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
Equations
- Variables on One Side
- Variables on Both Sides
- Equations with Brackets
- Using Formulae
- Equation Problems
- Equations with Algebraic Fractions
- Quadratic Equations
- Graphing Inequalities
- Solving Inequalities
- Simultaneous Equations- Substitution
- Simultaneous Equations- Elimination
- Simultaneous Equations Problems
Earning Money
- Wages and Salaries
- Overtime
- Commission, Piecework and Leave Loading
- Income Tax
- PAYG and Net Pay
- Best Buys
- GST
- Simple Interest
- Buying on Terms
Properties of Geometric Figures
- Angle Geometry
- Triangle Gemoetry
- Quadrilateral Geometry
- Angle Sum of Polygon
- Exterior Angle of Polygon
- Networks
- Planar Graphs and Euler's formula
- Network Travels
Straight Line
- 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
- Parallel and Perpendicular Lines
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
Congruence and Similar Figures
- Test for Congruence Triangles
- Congruence Triangle Proofs
- Similar Figures
- Properties of Similar Figures
- Scale and Scale Factors
- Test for Similar Triangles
Inside the book
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