QLD Year 10A Maths - Coursebook
Year 10A goes further — logarithms, polynomials and deeper trigonometry, preparing students for the demands of senior maths. Every topic is explained step by step, 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 10A goes beyond the standard course, adding logarithms, polynomials and deeper trigonometry for students heading towards Methods or Specialist.
The pace is faster and the reasoning more abstract, and textbooks often assume steps students have not yet mastered.
Our Solution
The Class Mathematics QLD Year 10A Coursebook was written by John Kinny-Lewis — a mathematics teacher with over 45 years of classroom experience.
Every topic is explained clearly, step by step, with fully worked solutions for every question, so students can follow the harder methods rather than guess at the missing steps.
Why This Book Works
- Covers the extension content – logarithms, polynomials and deeper trigonometry
- 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 QLD Year 10A Mathematics syllabus
- Instant digital access – or printed book with free shipping
Who This Book Is For
This book contains 10 chapters and includes the following topics:
- 1 Indices and Surds
- 2 Linear Relations
- 3 Solving Exponential Equations Using Logarithms
- 4 Trigonometry
- 5 Statistics
- 6 Probability
- 7 Measurement
- 8 Quadratic Expressions and Equations
- 9 Geometry
- 10 Parabolas and Other 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.
Indices and Surds
- Simplifying Surds
- Adding and Subtracting Surds
- Multiplying and Dividing Surds
- Binomial Products
- Rationalising the Denominator
- Index Laws
- Power of a Power
- Zero Indices
- Negative Indices
- Rational Indices
- Scientific Notation
- Exponential Equations
- Graphs of Exponentials
- Exponential Growth and Decay
- Compound Interest
- Comparing Simple and Compound Interest
Linear Relations
- Review of Algebra
- Multiplying and Dividing Algebraic Fractions
- Adding and Subtracting Algebraic Fractions
- Solving Linear Equations
- Linear Inequalities
- Graphing Straight Lines
- Finding an Equation of a Line
- Length and Midpoint of a Line Segment
- Perpendicular and Parallel Lines
- Simultaneous Equations Using Substitution
- Simultaneous Equations Using Elimination
- Further Applications of Simultaneous Equations
Solving Exponential Equations Using Logarithms
- Introducing Logarithms
- Laws of Logarithms
- Solving Exponential Equations Using Logarithms
- Introducing Polynomials
- Expanding and Simplifying Polynomials
- Division of Polynomials
- The Remainder and Factor Theorems
- Solving Polynomial Equations
- Graphs of Polynomials
Trigonometry
- Trigonometric Ratios
- Finding Unknown Sides
- Finding Unknown Sides (in Denominator)
- Finding Unknown Angles
- Applications Using Angles of Elevation And Depression
- Bearings
- Applications In Three Dimensions
- The Sine Rule
- The Cosine Rule
- Area of a Triangle
- The Unit Circle
- Graphs of Trigonometric Functions
Statistics
- Collecting and Using Data
- Review of Statistical Graphs
- Summary Statistics
- Box Plots
- Standard Deviation
- Time-Series Data
- Bivariate Data and Scatter Plots
- Line of Best Fit by Eye
- Linear Regression Using Technology
Probability
- Review of Probability
- Unions and Intersections
- The Addition Rule
- Conditional Probability
- Two-step Experiments Using Tables
- Using Tree Diagrams
- Independent Events
Measurement
- Review of Length
- Pythagoras Theorem
- Review of Area
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Surface Area and Volume of Spheres
Quadratic Expressions and Equations
- Expanding Expressions
- Factorising Expressions
- Factorising Monic Quadratic Trinomials
- Factorising Non-Monic Quadratic Trinomials
- Factorising By Completing The Square
- Solving Quadratic Equations Using Factorisation
- Applications of Quadratics
- Solving Quadratic Equations By Completing The Square
- Solving Quadratic Equations Using The Quadratic Formula
Geometry
- Review of Geometry
- Congruent Triangles
- Investigating Parallelograms Using Congruence
- Similar Figures
- Proving and Applying Similar Triangles
- Circles and Chord Properties
- Angle Properties of Circles - Theorems 1 and 2
- Angle Properties of Circles - Theorems 3 and 4
- Tangents to a Circle
- Intersecting Chords, Secants and Tangents
Parabolas and Other Graphs
- Exploring Parabolas
- Parabolas Using Transformations
- Parabolas Using Factorisation
- Parabolas By Completing The Square
- Parabolas Using The Quadratic Formula
- Applications of Parabolas
- Intersection of Lines And Parabolas
- Graphs of Circles
- Graphs of Hyperbolas
- Further Transformations of Graphs
Inside the book
See exactly how a topic is explained and how a solution is worked, before you buy.
SAMPLESample teaching pages — how a topic is explained
SAMPLESample worked answers — every question, fully solved
