Centre for Continuing Education

HSC Mathematics Preparation Course - Extension 1 (Part 2) (April)

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

This course is the second in a series of three Mathematics Extension 1 courses and provides consolidation of key content and skills from important topics in the Mathematics Extension 1 course. The program covers proof by mathematical induction, parametric representation, methods of integration, and permutations and combinations. 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 3) (July). You do not need to attend all three parts in order to benefit.


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

  • prove results using the principle of mathematical induction
  • use the parametric representation of a parabola to solve problems
  • find integrals using substitution and trigonometric identities
  • apply knowledge of permutations and combinations to solve problems
  • 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:

  • Induction
  • Parametric representation
  • Methods of integration
  • Permutations and combinations.

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 andyou 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)
7.4, 9.6, 11.5, 13.6E, 18.1

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
  • Free, expert advice
  • Course materials – yours to keep
  • CCE Statement of Completion