NSW Year 12 Maths Advanced - Coursebook
Year 12 Advanced demands stronger algebra and the ability to carry concepts across topics, all the way to the HSC. Every step is shown, 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 12 Mathematics Advanced builds directly on the Year 11 Advanced course and prepares students for the HSC examinations. As the course progresses, questions require stronger algebraic skills, deeper reasoning, and the ability to apply concepts across multiple topics.
Many students struggle when working steps are unclear or when practice questions do not reflect the style and difficulty of HSC assessments.
Our Solution
The Class Mathematics NSW Year 12 Mathematics Advanced Coursebook is designed to support students from the beginning of Year 12 through to the HSC exams. It reinforces key Year 11 concepts while introducing new content in a clear, structured, and logical way.
Every topic is carefully explained, and every question includes a fully worked solution, allowing students to develop confidence, strengthen problem-solving skills, and prepare effectively for school assessments and the HSC.
Why This Book Works
- Fully aligned to the NSW Year 12 Mathematics Advanced syllabus
- Strong focus on algebra, reasoning, and problem-solving
- Fully worked solutions for every question – showing complete methods
- Past HSC questions included – and organised by topic
- Clear progression – from concept development to exam-style application
- Ideal for assessment preparation and HSC revision
Who This Book Is For
This book contains 11 chapters and includes the following topics:
- 1 Sequences and Series
- 2 Graphs and Equations
- 3 Differential Calculus
- 4 Integration
- 5 Exponential and Log Function
- 6 Trig Functions
- 7 Motion and Rates
- 8 Series and Finance
- 9 Descriptive Statistics
- 10 Bivariant Data Analysis
- 11 Random Variables
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.
Sequences and Series
- Arithmetic Sequences
- Geometric Sequences
- AP and GP Problems
- Summing an AP
- Summing a GP
- Infinite Sum of a GP
- Recurring Decimals
Graphs and Equations
- Sign of a Function
- Vertical and Horizontal Asymptotes
- Curve Sketching
- Solving Inequations
- Graphical Solutions of Equations and Inequations
- Translations, Reflections and Dilations
- Trig Graphs
Differential Calculus
- Sign of the Derivative
- Stationary and Turning Points
- Second Derivatives
- Concavity and Points of Inflexion
- Curve Sketching
- Global Maxima and Minima
- Applications of Maxima and Minima
- Primitive Functions
Integration
- Indefinite Integral
- Definite Integral
- Areas by Integration
- Trapezoidal Rule
- Reverse Chain Rule
Exponential and Log Function
- Exponential Functions
- Differentiation of Exponential Functions
- Applications of Differentiation e^x
- Integration of Exponential Functions
- Applications of Integration e^x
- Log Functions
- Differentiation of Log Functions
- Applications of Differentiation lnx
- Integration of Reciprocal Function
- Application Of Integration 1 over x
- Calculus with other Bases
Trig Functions
- Differentiation of Trig Functions
- Applications of Differentiation of Trig Functions
- Integration of Trig Functions
- Applications of Integration of Trig Functions
Motion and Rates
- Average Velocity and Speed
- Velocity and Acceleration as Derivatives
- Integrating With Respect to Time
- Rates and Differentiation
- Rates and Integration
- Exponential Growth and Decay
Series and Finance
- Applications of APs and GPs
- Logs with GPs
- Simple and Compound Interest
- Investing Money With Regular Installments
- Loan Repayments
Descriptive Statistics
- Types of Data
- Displaying Data 1
- Displaying Data 2
- Measures of Central Tendency
- Standard Deviation
Bivariant Data Analysis
- Scatterplots and Association
- Correlation Coefficient
- Line of Best Fit
Random Variables
- Continuous Probability Distributions
- The Normal Distribution
- The Standard Normal Distribution
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
