QLD Year 8 Maths - Coursebook

Year 8 is a real step up — more abstract concepts, multi-step problems and algebra, with less class time spent revising the basics. Every topic is explained step by step, with a fully worked solution for every question.

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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 8 mathematics marks a significant step up in difficulty. Students are expected to work with more abstract concepts, multi-step problems, and algebraic thinking — often with less classroom time spent on revising foundational skills.

Many parents find it hard to help at this stage, especially if methods have changed since they were at school. Students can quickly lose confidence when they do not understand how to approach a problem, even if they recognise the topic.

Our Solution

The Class Mathematics QLD Year 8 Maths Coursebook supports students through the full QLD Year 8 Mathematics syllabus with a focus on understanding, structure, and confidence.

Every question includes a fully worked, step-by-step solution at the back of the book — so students can see exactly how to solve each problem when they get stuck. This makes it ideal for homework, revision, and independent learning.

Why This Book Works

  • Fully worked solutions for every question – clear, step-by-step methods students and parents can follow
  • Clear explanations focused on understanding – not memorisation
  • Hyperlinked solutions (ebook only) – click from a question straight to the solution
  • Video support via QR codes – extra explanation when it's needed
  • Fully aligned to the QLD Year 8 Mathematics syllabus
  • Instant digital access – or printed book with free shipping

Who This Book Is For

Studentswho want clear explanations and worked examples they can follow
Parentssupporting learning at home without needing to relearn everything
Tutorslooking for a syllabus-aligned core resource

This book contains 14 chapters and includes the following topics:

  1. 1 Pythagoras
  2. 2 Working with Numbers
  3. 3 Algebra
  4. 4 Equations
  5. 5 Geometry
  6. 6 Area and Perimeter
  7. 7 Volume
  8. 8 Fractions and Percentages
  9. 9 Investigating Data
  10. 10 Congruent Figures
  11. 11 Probability
  12. 12 Rates and Ratios
  13. 13 Graphing Linear Equations
  14. 14 Time and Travel

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

  • Calculations with Square Roots
  • Finding the Hypotenuse
  • Finding a Shorter Side
  • Testing for Right Angled Triangles
  • Testing for Pythagorean Triads
  • Mixed Problems
  • Pythagoras Word Problems

Working with Numbers

  • Adding and Subtracting Integers
  • Multiplying Integers
  • Dividing Integers
  • Order of Operations
  • Decimals
  • Multiplying and Dividing Decimals
  • Terminating and Recurring Decimals
  • Power and Roots
  • Prime Factors
  • Index laws
  • Further Index laws

Algebra

  • Adding and Subtracting Terms
  • Multiplying Terms
  • Dividing Terms
  • Index Laws for Multiplying and Dividing
  • Power of a Power
  • Zero Index
  • Mixed Index Laws
  • Expanding Expressions and Simplifying
  • Factorising Expressions
  • Factorising with Negatives
  • Algebraic Expressions
  • Substitution

Equations

  • One Step Equations
  • 2 Step Equations
  • Equations with Brackets
  • Equations with Fractions
  • Harder Equations
  • Equation Problems
  • Simple Quadratic Equations

Geometry

  • Angle Geometry
  • Angles on Parallel Lines
  • Classifying Triangles
  • Classifying Quadrilaterals
  • Properties of Quadrilaterals
  • Angle Sum of Triangles and Quadrilaterals
  • Angle Sum of Polygon

Area and Perimeter

  • Perimeter
  • Metric Units for Measurement of Area
  • Area of Rectangles, Triangles and Parallelograms
  • Area of a Trapezium
  • Area of Kites and Rhombuses
  • Composite Areas and Problems on Areas
  • Parts of a Circle
  • Circumference of a Circle
  • Arc Lengths
  • Arc Lengths Problems
  • Area of Circles
  • Area of Sectors

Volume

  • Metric Units for Volume
  • Volume of a Prism
  • Composite Shapes for Volume
  • Volume of a Cylinder
  • Volume of Composite Cylinders
  • Volume and Capacity

Fractions and Percentages

  • Adding and Subtracting Fractions
  • Multiplying and Dividing Fractions
  • Fraction Problems
  • Percentages, Fractions and Decimals
  • Fractions of a Quantity
  • Percentage of a Quantity
  • Expressing Amounts as Fractions and Percentages
  • Percentage Increase and Decrease
  • Non-Calculator Percentages
  • The Unitary Method
  • Profit, Loss and GST
  • Percentage Problems

Investigating Data

  • Organising and Displaying Data
  • Types of Data
  • Mean and Mode
  • Median and Range
  • Analysing Frequency Tables
  • Dot Plots, Stem and Leaf Plots
  • Frequency Histogram and Polygons

Congruent Figures

  • Congruent Figures
  • Tests for Congruent Triangles
  • Congruent Triangle Proof
  • Proving Properties of Quadrilaterals

Probability

  • Probability
  • Complementary Events
  • Venn Diagrams
  • 2 way tables
  • Probability Problems
  • Experimental Probability

Rates and Ratios

  • Equivalent Ratios
  • Simplifying Ratios
  • Dividing Quantity into Given Ratio
  • Ratio Word Problems
  • Rates
  • Rate Problems

Graphing Linear Equations

  • The Number Plane
  • Finding Rules for Number Patterns
  • Finding the Rule
  • Tables and Values
  • Graphing Linear Equations
  • Finding the Equation of a Line
  • Solving Equations Graphically
  • Intersecting Lines

Time and Travel

  • International Time Zones
  • Scale Maps and Plans
  • Sketching Informal Graphs
  • Speed
  • Time Differences
  • Travel Graphs
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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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