Every Year 11 and 12 Topic Covered. Made for the Old Syllabus.
Maths Advanced Topic Bundles - Old Syllabus
Each Topic is priced at an average of $9.50 per workbook
Comprehensive Syllabus Map
Every Single Topic, Unpacked and Organised.
We break down the entire syllabus into each major topic, which are then further split into subtopics that are covered by one booklet.
7 TopicsYear 11 Course Structure
01 Algebra
- Essential Algebraic Techniques (I)
- Factorisation Techniques (II)
- Completing the Square (III)
- Surds and Rationalisation (IV)
- Solving Simultaneous Equations (V)
- Algebra Involving Quadratics (VI)
- Inequalities (VII)
- Absolute Value Equations (VIII)
- Year 11 Algebra Topic Test
02 Functions
- Introduction, Domain, and Range (I)
- Functions and Relations (II)
- Interval Notation (III)
- Linear Functions and Direct Variation (IV)
- Quadratics and Parabolas (V)
- Cubic Functions (VI)
- Odd and Even Functions (VII)
- Composite Functions and Piecewise Notation (VIII)
- Polynomials and Sketching (IX)
- Absolute Values (X)
- Hyperbolas and Inverse Variation (XI)
- Circles and Semi Circles (XII)
- Year 11 Functions Topic Test
03 Functions
- Introduction, Domain, and Range (I)
- Functions and Relations (II)
- Interval Notation (III)
- Linear Functions and Direct Variation (IV)
- Quadratics and Parabolas (V)
- Cubic Functions (VI)
- Odd and Even Functions (VII)
- Composite Functions and Piecewise Notation (VIII)
- Polynomials and Sketching (IX)
- Absolute Values (X)
- Graph Reflections (XI)
- Hyperbolas and Inverse Variation (XII)
- Circles and Semi Circles (XIII)
- Year 11 Functions Topic Test
04 Differentiation
- Limits (I)
- First Principles (II)
- Basic Differentiation (III)
- Further Differentiation (IV)
- Tangents and the Normal (V)
- Derivative Function Graphs (VI)
- Rates of Change (VII)
- Motion (VIII)
- Year 11 Differentiation Topic Test
05 Trigonometry
- Trigonometric Ratios (I)
- Quadrants and Related Angles (II)
- Sine and Cosine Rule (III)
- Radians (IV)
- Arc Length and Sector Area (V)
- Trigonometric Identities (VI)
- Trigonometric Equations (VII)
- Applications of Trigonometry (VIII)
- 3D Trigonometry (IX)
- Trigonometry Topic Test
06 Exponentials and Logarithms
- Index Laws (I)
- Introduction to Logarithms (II)
- Logarithmic Laws (III)
- Exponential Equations (IV)
- Logarithmic Equations (V)
- Applications of Exponentials and Logarithms (VI)
- Exponentials and Logarithms Topic Test
07 Probability and Statistical Analysis
- Introduction and Relative Frequency (I)
- Multiplication Rule (II)
- Complementary Events (III)
- Multi – Stage Experiments and Tree Diagrams (IV)
- Sets and Venn Diagrams (V)
- The Addition Rule (VI)
- Conditional Probability (VII)
- Independent Events (VIII)
- Discrete Random Variables (I)
- Mean and Variance for Discrete Random Variables (II)
- Year 11 Probability Topic Test
6 TopicsYear 12 HSC Framework
01 Functions
- Vertical and Horizontal Asymptotes (I)
- Graph Shifts and Translations (II)
- Graph Stretching and Dilations (III)
- Combined Transformations (IV)
- Inequalities and Solving by Graphical Methods (V)
- Year 12 Functions Topic Test
02 Differentiation
- Derivative of Exponentials (I)
- Derivative of Logarithms (II)
- Trigonometric Derivatives (III)
- Natural Growth and Decay (IV)
- The First Derivative (V)
- The Second Derivative (VI)
- Graph Sketching With Derivatives (VII)
- Optimisation Problems (VIII)
- Year 12 Differentiation Topic Test
03 Trigonometry
- Applying Transformations to Trig Functions (I)
- Practical Problems Involving Periodic Phenomena (II)
- Year 12 Trigonometry Topic Test
04 Integration
- Primitive Functions and the Anti – Derivative (I)
- The Reverse Chain Rule and Substitution (II)
- Definite Integrals (III)
- Exponentials (IV)
- Integrating to Logarithms (V)
- Trigonometric Integrals (VI)
- Applications of Definite Integrals to Area Under the Curve (VII)
- Estimating Area with Trapezoidal Rule (VIII)
- Properties of Definite Integrals (IX)
- Further Work on Area (X)
- Areas Bounded by the y–axis (XI)
- Rates of Change and Motion (XII)
- Integration Topic Test
05 Statistical Analysis
- Probability Density Functions (III)
- Calculating Mode, Median and Percentiles (IV)
- Cumulative Distribution Functions (V)
- The Normal Distribution and Empirical Rule (VI)
- Z – Scores (VII)
- Applications of Z – Scores (VIII)
- Statistical Analysis Topic Test
06 Sequences and Series
- Introduction to Sequences and Series (I)
- Arithmetic Sequences (II)
- Arithmetic Series (III)
- Geometric Sequences (IV)
- Geometric Series (V)
- Applications of AP and GP (VI)
- Sequences and Series Topic Test
07 Financial Mathematics
- Simple and Compound Interest (I)
- Future and Present Value Tables (II)
- Finding the Future Value of Annuities (III)
- Finding the Amount Outstanding on a Loan (IV)
- Finding the Regular Repayment needed (V)
- Financial Mathematics Topic Test
08 Data & Linear Regression
- Types of Data and Frequency Histograms (I)
- Cumulative Frequency Histograms and Ogives (II)
- Pareto Charts and Contingency Tables (III)
- Box and Whisker Plots (IV)
- Scatter Plots and Pearson’s Correlation (V)
- Line of Best and Fit and Least Squares Regression Line (VI)
- Data & Linear Regression Topic Exam
Why Choose Mathify?
Full Colour Printing
Saddle Stitched
Flexible Learning
99+ ATAR Experts
Worked Solutions
Curriculum Focus
Theory Aligned to the HSC curriculum
- Succinct theory that's fit for all types of learners and focused on high-yield examination topics.
- Easy to understand with top band 6 insights, backed by the latest pedagogical research.
- Step by step methodologies for key content areas with clear problem breakdowns.
Exam Readiness
Challenging Mock Questions
Each workbook comes with its own unique set of mock exam questions that test that specific area of the syllabus.
Unlike typical textbook exercises, our problems challenge students and allow them to better prepare for exam applications.
Learn from the best
Fully Worked Solutions
Every question we provide comes with our own exemplar responses so students can learn from the best.
With all of a subtopic's theory, questions, solutions and working out kept organised into one workbook, exam revision has never been easier. Simply identify which areas you need the most practice in and get started.