NSW Year 10 Maths - Core Coursebook

Year 10 Core is where earlier gaps start to show, just as the content becomes more applied. Every topic is explained step by step, with a fully worked solution for every question — so students can find and fix what they have missed.

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Both formats: a fully worked solution for every question · QR-code video tutorials · aligned to the NSW Year 7 syllabus

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Fully aligned to the NSW Year 7 Mathematics syllabus
Written by John Kinny-Lewis — 45+ years teaching maths
A fully worked solution for every question

The Challenge

Year 10 Core Maths is a critical year where students consolidate key skills while preparing for senior study. Many students still carry gaps from earlier years, and without clear explanations and structured practice, confidence can drop as content becomes more applied.

Our Solution

The Class Mathematics NSW Year 10 Core Maths Coursebook is designed to reinforce essential concepts while introducing Year 10 content at a manageable pace. Clear explanations and fully worked solutions help students strengthen their foundations and approach problems with confidence.

Why This Book Works

  • Strong focus on core skills and consolidation – reinforcing essential concepts from previous years
  • 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 it's needed
  • Fully aligned to the NSW Year 10 Mathematics syllabus
  • Instant digital access – or printed book with free shipping

Who This Book Is For

Students completing NSW Year 10 Core Maths
Parents supporting students who need reinforcement and confidence
Students preparing for senior maths pathways

This book contains 12 chapters and includes the following topics:

  1. 1 Algebra
  2. 2 Indices and Surds
  3. 3 Measurement
  4. 4 Trigonometry
  5. 5 Earning Money
  6. 6 Straight Line Graphs
  7. 7 Simultaneous Equations
  8. 8 Probability
  9. 9 Geometry
  10. 10 Single Variable and Bivariant Statistics
  11. 11 Quadratics
  12. 12 Non-Linear Relationships, Functions And Their Graphs

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.

Algebra

  • Algebra Review
  • Algebraic Fractions
  • Solving Linear Equations
  • Linear Inequalities

Indices and Surds

  • Rational and Irrational Numbers (Surds and Rational Numbers)
  • Surds and Rational Numbers
  • Adding and Subtracting Surds
  • Multiplying and Dividing Surds
  • Binomial Products
  • Rationalising the Denominator
  • Multiplication and Division Index Laws
  • Power of a Power
  • Zero and Negative Indices
  • Scientific Notation
  • Fractional Indices

Measurement

  • Converting Units
  • Accuracy of Measuring Instruments
  • Pythagoras Theorem in 3D
  • Area of Triangles and Quadrilaterals
  • Area of Circles and Sectors
  • Surface Area of Prisms
  • Surface Area of Cylinders
  • Surface Area of Pyramids and Cones
  • Volumes of Prisms and Cylinders
  • Volumes of Pyramids and Cones

Trigonometry

  • Trigonometric Ratios
  • Finding Unknown Angles
  • Finding Unknown Sides
  • 2D Applications
  • Bearings

Earning Money

  • Wages and Salaries
  • Overtime
  • Commission and Leave Loading
  • Income Tax
  • Simple Interest
  • Compound Interest
  • Term Payments
  • Depreciation

Straight Line Graphs

  • Length of an Interval
  • Midpoint of an Interval
  • Gradient of an Interval
  • Parallel and Perpendicular Lines
  • Equation of Lines

Simultaneous Equations

  • Substitution
  • Elimination
  • Problems

Probability

  • Probability Basics
  • Probability Range
  • Two-Way Tables
  • Venn Diagrams
  • Complementary Events
  • 2 Step Experiments
  • Tree Diagrams
  • Dependent and Independent Events

Geometry

  • Basic Geometry
  • Congruent Triangles
  • Similar Figures
  • Similar Triangles
  • Network Diagrams
  • Eulerian and Network Problems
  • Shortest Path

Single Variable and Bivariant Statistics

  • Shapes of Distributions
  • Quartiles and Inter Quartile Range
  • Boxplots
  • Parallel Boxplots
  • Comparing Data Sets
  • Scatter Plots
  • Bivariant Data

Quadratics

  • Expanding Expressions
  • Factorising Expressions
  • Factorising Monic Quadratic Trinomials
  • Solving Quadratics by Factorising

Non-Linear Relationships, Functions And Their Graphs

  • Exploring Parabolas
  • Sketching Parabolas Using Transformations
  • Graphs of Circles
  • Exponential Functions
  • Using Graphs to Describe Change
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Inside the book

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Sample teaching pages — how a topic is explained SAMPLE

Sample teaching pages — how a topic is explained

Sample worked answers — every question, fully solved SAMPLE

Sample worked answers — every question, fully solved

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Written by John Kinny-Lewis
The author

Written by John Kinny-Lewis

45+ years in the classroom. He wrote this book because students were hitting Year 7 algebra with no way to check their own work — and parents couldn't help once the methods changed.

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