Centre for Continuing Education

HSC Mathematics Preparation Course - Extension 1 (Part 1) (January)

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

This course is the first in a series of three Mathematics Extension 1 courses and provides consolidation of key content and skills from fundamental topics in the Mathematics Extension 1 course. The program covers circle geometry, polynomials, further trigonometry, applications of differential calculus (including harder curve sketching), and harder inequalities and coordinate geometry. Study skills and examination techniques will also be emphasised.

Other courses in this series include HSC Mathematics Preparation – Extension 1 (Part 2) (April) 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:

  • apply properties of circles to prove geometric results
  • use a variety of methods to solve polynomial equations
  • solve problems involving harder applications of trigonometric principles, including using trigonometric functions of sums and differences of angles
  • sketch curves involving both horizontal and vertical asymptotes
  • solve inequalities involving unknowns in the denominator
  • find the angle between two lines and divide an interval in a given ratio
  • 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:

  • Circle geometry
  • Polynomials
  • Further trigonometry
  • Applications of differential calculus
  • Angle between two lines
  • Internal and external division of lines.

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 you 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)
2.6-2.10, 5.6-5.9, 6.6-6.7E, 10.1-10.8, 10.5E, 16.1-16.4

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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