Year 12 Mathematics Extension 2

Our Year 12 Mathematics Extension 2 tutoring program begins at the beginning of Term 4 of each year and runs up to the end of Term 3 the following year, just before students commence their external HSC exams.

Year 12 Mathematics Extension 2 Course Overview

This HSC Maths tutoring program continues from Year 11 Maths Extension 1, and is specifically for year 12 students doing Maths Extension 2 at school. The program includes all topics from the Maths Extension 1 and 2 syllabus, so students do not need to enrol separately in the Mathematics Extension 1 tutoring course.

This course covers all topics and outcomes of the NESA Syllabus – ‘4 unit’ and ‘3 unit’ components of Mathematics. In addition to comprehensively covering all concepts, the program heavily focuses on relevant correct exam technique and giving our students exposure to a wide variety of exam-style possibilities.

This course is ideal for:

  • Students who are intending to or are doing HSC Maths Extension 2
  • Year 12 maths students wanting to improve ranks and marks at school
  • Students who were in the Year 11 Mathematics Extension 1 program

3 hour weekly lessons + 1 hour weekly Workshop Tutorials


Tutoring course materials (concept explanations, summaries, study notes, example questions, worked solutions and exam-style homework) are provided each week in the form of a theory and homework booklet


Tutoring homework is expected to be completed and will be fully marked each week, with comments detailing every point of improvement


Free ongoing Workshop Tutorial support


Free online homework help


Topic Tests administered at the end of each major topic, with marks and vital statistics reported in the End of Term report


Online access to our repository of maths resources, exam papers with solutions and course summaries

Course structure

3 hour Lesson


1 hour Workshop

Per week

Class Times



Sundays: 10:00am – 1:00pm


Workshop Tutorials

Sundays 1:00pm – 2:00pm (booking only)

Bondi Junction


Sundays: 11:00am – 1:00pm


Workshop Tutorials

Mondays 5:00pm – 6:00pm (booking only)

Topics Scheduled

Our schedule of topics may vary as we may modify our course year to year for continual improvement – below is a representation based on past years.

Term 4 (Ext II)

October – December

Extension 2 Topics

W1 Complex Numbers

W2 Complex Numbers

W3 Complex Numbers

W4 Complex Numbers

W5 Complex Numbers

W6 Complex Numbers

W7 Complex Numbers

W8 Induction

W9 Induction

W10 Induction

W11 Module Assessment and Revision

Term 4 (Ext I)

October – December

Extension 1 Topics

W1 Random Variables

W2 Trigonometric Identities

W3 Trigonometric Equations I

W4 Trigonometric Equations II

W5 Trigonometric Equations III

W6 Mid-term Assessment

W7 Advanced Graphing Techniques I

W8 Advanced Graphing Techniques II

W9 Parametric Equations

W10 Polynomials

W11 Polynomials

Term 1 (Ext II)

January – March

Extension 2 Topics

W1 Integration

W2 Integration

W3 Integration

W4 Module Assessment and Revision

W5 Elementary Particle Dynamics

W6 Elementary Particle Dynamics

W7 Elementary Particle Dynamics

W8 Elementary Particle Dynamics

W9 Elementary Particle Dynamics

Term 1 (Ext I)

January – March

Extension 1 Topics

W1 More Difficult Inequalities

W2 Induction

W3 Induction

W4 Combinatorics

W5 Combinatorics

W6 Vectors

W7 Vectors

W8 Extension Trigonometric Functions

W9 Inverse Functions

Term 2 (Ext II)

April – June

Extension 2 Topics

W1 Elementary Particle Dynamics

W2 Elementary Particle Dynamics

W3 Further Work with Vectors

W4 Further Work with Vectors

W5 Further Work with Vectors

W6 Further Work with Vectors

W7 Further Work with Vectors

W8 Module Assessment and Revision

W9 Proof

W10 Proof

W11 Proof

Term 2 (Ext I)

April – June

Extension 1 Topics

W1 Inverse Functions

W2 Inverse Functions

W3 Inverse Functions

W4 Harder Integration

W5 Rates of Change

W6 Rates of Change

W7 Projectile Motions

W8 Projectile Motions

W9 Differential Equations

W10 Differential Equations

W11 Differential Equations

Term 3 (Ext II)

July – September

Extension 2 Topics

W1 Proof

W2 Proof

W3 HSC Exam Preparation

W4 HSC Exam Preparation

W5 HSC Exam Preparation

W6 HSC Exam Preparation

W7 HSC Exam Preparation

W8 HSC Exam Preparation

W9 HSC Exam Preparation

W10 HSC Exam Preparation

W11 HSC Exam Preparation

Term 3 (Ext I)

July – September

Extension 1 Topics

W1 Binomial Distribution

W2 Binomial Distribution

W3 Binomial Distribution

W4 Binomial Distribution

W5 HSC Exam Preparation

W6 HSC Exam Preparation

W7 HSC Exam Preparation

W8 HSC Exam Preparation

W9 HSC Exam Preparation

W10 HSC Exam Preparation

W11 HSC Exam Preparation

If you’re concerned there’s a topic that’s not listed above, check our Year 11 Maths Extension 1 program as it may have been covered there. If you need specific help in a topic not listed in addition to following our year 12 Maths tutoring program, we may be able to organise some supplementary Maths 1 on 1 tutoring assistance for enrolled students.

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