Centre for Continuing Education

HSC Mathematics Preparation Course - Extension 1 (Part 3) (July)

HSC Mathematics. The smart way to prepare for your HSC.

This is the final course in a series of three Mathematics Extension 1 courses and focuses on the harder topics from the HSC Course. The program covers inverse functions, harder applications of calculus, the binomial distribution, and further probability. Study skills and examination techniques will also be emphasised.

Other courses in this series include HSC Mathematics Preparation – Extension 1 (Part 1) (January) and HSC Mathematics Preparation – Extension 1 (Part 2) (April). You do not need to attend all three parts in order to benefit.


By the end of this course, you should be able to:

  • find and sketch inverse functions, including inverse trigonometric functions
  • find the derivatives of inverse trigonometric functions and perform the corresponding integrations
  • apply results involving harder exponential growth and decay and velocity and acceleration as functions of x
  • solve problems involving projectile motion and simple harmonic motion
  • prove results using the binomial distribution and calculate binomial probabilities
  • answer a range of questions based on the topics covered
  • critically evaluate your own and others' solutions to improve the quality of responses in assessment tasks
  • interpret mathematical language of examination questions to better understand the steps required in a quality solution.


The following topics from the Mathematics Extension 1 syllabus will be covered:

  • Inverse functions and inverse trigonometric functions
  • Harder exponential growth and decay, velocity and acceleration as a function of x, projectile motion and simple harmonic motion
  • Binomial theorem
  • Further probability.

Intended audience

Designed for Year 12 students (only) undertaking the Mathematics Extension 1 course (2008 syllabus).

Delivery style

Delivered as a two-day activity-based workshop where we will explore and apply mathematical knowledge and skills in a combination of lectures, tutorials and problem-solving sessions. Practice exercises are carefully graded and you will receive immediate feedback.


You will receive:

  • a course booklet including theory and worked examples, covering all syllabus dot points from the relevant topics
  • solutions to all questions in the course notes
  • HSC Questions from recent years on the relevant topics, with sample answers provided.


NESA Mathematics Extension 1 Stage 6 Syllabus (2008)
14.2E, 14.3E, 14.4, 15.1-15.5, 17.1-17.3, 18.2

Getting Through Your HSC: A Practical Guide

While you progress through this journey and also the conclusion of your schooling life, we know you’ll have a lot on your mind – exams, future study, careers – but remember, while keeping focused on these bigger goals and aspirations, it’s also important not to forget your own health and well-being.

For tips on staying motivated and keeping focused, dealing with anxiety, keeping healthy, relaxation, pre-study exercise and more, read our article Getting Through Your HSC: A Practical Guide.


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What others say.

  • Overall the pace is just right and easy to pick up. The tutor was really nice and will answer any questions that you have and help you at all times. The class was small and it was really comfortable to be in!

What others say.

  • I loved the amount of time the tutor spent on each topic. They were generous with their time and a credit to themselves and Sydney Uni. I will definitely be coming back next term.