NSW Year 12 Maths Standard 2 - Coursebook

Year 12 Standard 2 becomes more applied and more exam-focused, combining concepts across topics right through to the HSC. Every method is shown in full, 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 12 Mathematics Standard 2 builds directly on Year 11 content and leads students through to the HSC examinations. As the course progresses, questions become more applied and exam-focused, and students are expected to confidently combine concepts across topics.

Many students struggle when methods are unclear or when revision resources do not reflect HSC-style questions, making effective preparation more difficult.

Our Solution

The Class Mathematics NSW Year 12 Mathematics Standard 2 Coursebook is designed to support students from the beginning of Year 12 right through to the HSC exams. It builds on the Year 11 Standard coursebook, reinforcing key concepts while introducing new content in a clear and structured way.

Every topic is explained step by step, and every question includes a fully worked solution, allowing students to revise independently, check their understanding, and prepare confidently for assessment and the HSC.

Why This Book Works

  • Fully aligned to the NSW Year 12 Mathematics Standard 2 syllabus
  • Clear explanations written for student understanding
  • Fully worked solutions for every question – showing complete working, not just final answers
  • Past HSC questions included – and organised by topic
  • Structured progression – from concept development to exam-style application
  • Ideal for revision, assessment preparation, and HSC study

Who This Book Is For

Students completing NSW Year 12 Mathematics Standard 2
Students preparing for school assessments and the HSC exams
Parents supporting students through their final year of mathematics

This book contains 10 chapters and includes the following topics:

  1. 1 Rates and Ratios
  2. 2 Networks
  3. 3 Investments and Loans
  4. 4 Non-Right Angled Trigonometry
  5. 5 Simultaneous Equations
  6. 6 Bivariant Data Analysis
  7. 7 Annuities
  8. 8 Non-Linear Relationships
  9. 9 Normal Distribution
  10. 10 Critical Path Analysis

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.

Rates and Ratios

  • Rates and Concentrations
  • Heart Rate
  • Energy Rate
  • Fuel Consumption Rate
  • Ratio Calculations
  • Scale Drawings
  • Perimeter, Area and Volume

Networks

  • Networks
  • Network Travels
  • Network Diagrams
  • Eulerian and Network Problems
  • Minimal Spanning Trees and Connector Problems
  • Shortest Path

Investments and Loans

  • Future Value
  • Appreciation and Inflation
  • Shares and Dividends
  • Declining Balance Depreciation
  • Reducing-Balance Loans
  • Credit Cards
  • Fees and Charges for Credit Card Usage

Non-Right Angled Trigonometry

  • Right-Angled Trig
  • Angles of Elevation And Depression
  • Compass and True Bearings
  • Trig With Obtuse Angles
  • Area of a Triangle
  • Sine Rule
  • Cosine Rule
  • Radial Survey

Simultaneous Equations

  • Simultaneous Equations Graphically
  • Simultaneous Equations Algebraically
  • Simultaneous Equations Models
  • Break-Even Analysis

Bivariant Data Analysis

  • Bivariant Scatterplot
  • Pearsons Correlation Coefficient
  • Line of Best Fit
  • Interpolation and Extrapolation
  • Statistical Investigation

Annuities

  • Annuity as a Recurrence
  • Using a Future Value Table
  • Using a Present Value Table
  • Use of Annuities

Non-Linear Relationships

  • Exponential Functions
  • Exponential Models
  • Quadratic Functions
  • Quadratic Models
  • Reciprocal Functions
  • Reciprocal Models
  • Inverse Variation

Normal Distribution

  • Normally Distributed Data
  • 68-95-99.7 Rule
  • Z Scores
  • Using Z Scores to Compare Data
  • Applications of Normal Distributions

Critical Path Analysis

  • Network Diagrams from a Activity Chart
  • Dummy Activities
  • Forward and Backward Scanning
  • Float Times and Critical Path
  • Minimum Completion Time
  • Network Flow Problems
See how it teaches

Inside the book

See exactly how a topic is explained and how a solution is worked, before you buy.

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

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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