Mathematics extension 1 is a challenging course which will push you to think in abstract ways to solve problems. The formula to do well in this HSC course is to do as many past HSC papers as possible. We have put together a collection of past papers, arranged by module as well as module specific quizzes.

Interactive Question Banks

Learn.

**Induction.**

- Summation, divisibility, inequality
- Past HSC Questions

- External Resource (exam style questions)

**Sums and series.**

- Arithmetic External resource (exam style questions)
- Geometric
- Sum of Series
- Divisibility
- Financial applications of Series

**Functions.**

- Exponential Functions
- Differentiating Trigonometric Functions
- Geometry of the First Derivative
- The Second Derivative & Curve Sketching
- Applications of Max & Min Values

**Vectors.**

- Vector HSC Questions
- Geometric Vectors
- Position Vector
- The Scalar Product
- Vector Projection
- Using Vectors in Geometry
- Questions external resource (exam style questions)

Calculus

- Fundamental Theorems of Calculus
- Integration of Exp
- Reciprocal & Trig

Functions

- Functions
- Even & Odd Functions
- Area Bounded by Curves
- Area Between Two Graphs
- Calculating Definite Integrals
- Physical Applications of Calculus

Motion

- 2-dimensional motion

Trigonometry

- Using Compound and Double Angle Formulas
- Derivatives & Integrals of Inverse Trig Functions
- Further Trigonometric

Integration and differentiation

- Integrals
- Volumes of Solids of Revolution
- Differential Equations

Financial

- Financial Applications of Series
- Continuous Random Variables Part I
- Continuous Random Variables Part II

Normal and binomial distribtuon

- The Normal Distribution
- The Binomial Distribution

Year 11 recap

- Permutations and combinations (external site)

## Mathematics Extension 1 Papers

Sample HSC a & trial exams

- Sample internal exams

*Allow up to 30 seconds for these trials to load.*

Year | Trial Examination | Difficulty (1-5) |

2021 | Fortstreet | 4 |

HSC Exams