Centre for Continuing Education

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

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

Prepare for HSC Mathematics the smart way with HSC Mathematics preparation courses at CCE, the University of Sydney.

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.

This course is part of a 3-part series covering key areas from within this subject’s syllabus. Other courses include HSC Mathematics Preparation Course – Extension 1 (Part 1) (January) and HSC Mathematics Preparation Course – Extension 1 (Part 2) (April). Students do not need to attend all three parts in order to benefit.


Upon successful completion of this course, students 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 their 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.


(Aligned to NESA Syllabus Reference Points)

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

  • Inverse functions and inverse trigonometric functions (15.1-15.5)
  • Harder exponential growth and decay, velocity and acceleration as a function of x, projectile motion and simple harmonic motion (14.2E, 14.3E, 14.4)
  • Binomial theorem (17.1-17.3)
  • Further probability (18.2)

Delivery Style

This Mathematics Extension 1 course is delivered as activity-based workshops where students explore and apply mathematical knowledge and skills in a combination of lectures, tutorials and problem-solving sessions. Practice exercises are carefully graded and students receive immediate feedback.


  • 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.

Course Evaluation

This course will be evaluated via an online student questionnaire delivered in class.

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.


  • Expert trainers
  • Central locations
  • Small class sizes
  • Free, expert advice
  • Student materials – yours to keep
  • Statement of completion

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 so generous with their time and even offered assistance past the course which was a credit to themselves and Sydney Uni. Overall the course helped me with my maths skills and was good revision. I will definitely be coming back next term.