Year 12 Maths Extension 2

Achieve a thorough understanding of your topics and reach your ATAR potential

Course Components


Weekly Theory Classes
  • Learn ahead of school
  • Small sized classes
  • Top ranked teachers
  • Comprehensive resources


Personalised Tutorials
  • One-on-one tutorials
  • Address your individual needs
  • Challenging question booklets
  • School work assistance


Additional Resources and Support
  • Regular quizzes and exams
  • Homework marking and feedback
  • Weekly tracking of results and reporting
  • Additional resources and exam-style questions

Course Topics

Prime's Year 12 Maths Extension 2 course covers both the Extension 1 and Extension 2 components of the new NESA syllabus.

Commencing from Term 4 in Year 11, Prime teaches ahead of schools so students can dedicate the last term before sitting the HSC to crucial revision.

Term 4

Oct - Dec

  • Induction (3U)
  • Introduction to Vectors (3U)
  • Complex Number (4U)
  • Nature of Proof (4U)
Summer Holiday


  • Essential Year 11 topics
  • Revision of Induction
  • Preview and Review of Vectors
Term 1

Jan - Mar

  • Vectors (3U)
  • Trigonometry (3U)
  • Calculus (3U)
  • Further Proof (4U)
  • Vectors (4U)
Term 2

Apr - Jun

  • Differential Equations (3U)
  • Statistics (3U)
  • Further Integration (4U)
  • Resisted Motion (4U)
Winter Holiday


  • Trial Exam Preparation
  • Mock Exams
Term 3

Jul - Sep

  • HSC Revision Ext 1 Topics
  • HSC Revision Ext 2 Topics


Spring Holiday


  • HSC Exam Preparation
  • Mock Exams

Class structure

Theory Class
30 min
Homework Revision and In-class Quiz

Students receive marked homework and can have any homework questions answered before sitting an in-class quiz 

65 min
Theory Lesson - Ext 1 Topics

Students are taught key mathematical concepts which are supported by exam-style questions

10 min


65 min
Theory Lesson - Ext 2 Topics

Students are taught key mathematical concepts which are supported by exam-style questions

10 min

The final 10 mins are dedicated to final questions. 

Personalised Tutorial
60 min
Pick a time that suits your schedule

Choose any time between 10am and 5pm on Saturdays (weeks 2-9). Tutorials run for one hour

Practice booklet

Receive challenging practice booklets to revise you knowledge with individual help from your tutor

Asist with any topics or school work

Get help with school work or ask questions on any maths topcs

Course Pricing

Theory Class Only
$1135 per term (27 hours x $42/hr)
  • *Additional courses in the same shopping cart attract 10% discount
  • What you'll get:
  • 9 weeks x 3 hrs Theory Classes
  • Small size class (max. 12 students)
  • Challenging theory booklet, homework and practice booklet
  • Taught by top-ranked tutors

Got more question?

Enquiry now

Weekly Topic Schedule

Term 4   Topics Class Tutorial Homework
Week 1   Arithmetic of complex numbers (4U)      Introduction to Induction (3U)  
Week 2   Geometric Representation of a complex number (4U)      Inequality and Divisibility (3U)
Week 3   Other Representations of Complex Numbers (4U)      Geometry and False Proofs (3U)
Week 4   Geometrical Implications of Complex Numbers 1 (4U)      Induction Revision (3U)
Week 5   Geometrical Implications of Complex Numbers 2 (4U)      Induction Exam (3U)
Week 6   Solving Equations with Complex Numbers 1 (4U)      Introduction to Vectors (3U)
Week 7   Solving Equations with Complex Numbers 2 (4U)      The Dot Product (3U)
Week 8   The Nature of Proof 1 (4U)       Geometric Application of Vectors (3U)
Week 9   The Nature of Proof 2 (4U)      Vectors Revision (3U)
Holiday 1   Topic Class Tutorial Homework

Trigonometry & De Moivre's Theorem

Polynomials and Geometry

Proofs & Inequalities

Term 1          
Week 1   Further Proof by Mathematical Induction 1 (4U)      Physical Application of Vectors (3U)  
Week 2   Further Proof by Mathematical Induction 2 (4U)      Projectile Motion (3U)
Week 3   Proof Revision (4U)      Vectors (Physical) Revision (3U)
Week 4   Introduction to Three-Dimentional Vectors (4U)      Vectors (Physical) Exam (3U)
Week 5   Futher Operations with Three-Dimentional Vectors(4U)    Auxilary Angles&Identities(3U)
Week 6   Vectors and Vector Equations of Lines 1 (4U)      Trignometry Integrals (3U)
Week 7   Vectors and Vector Equations of Lines 2 (4U)       Integration by Substitution (3U)
Week 8   Further Integration 1 (4U)    Solids of Revolution (3U)
Week 9   Further Integration 2 (4U)      Calculus Revision (3U)
Holiday 2          
    No classes for April Holiday      
Term 2   Topic Class  Tutorial Homework
Week 1   Further Integration 3 (4U)      Introduction to Differential Equations (3U)  
Week 2   Further Integration 4 (4U)      Solving Differential Equations (3U)
Week 3   Calculus Revision (4U)      Application of Differential Equations (3U)
Week 4   Modelling Motion Without Resistance (4U)      Differential Equations Revision (3U)
Week 5   Simple Harmonic Motion (4U)      Calculus Exam (3U)
Week 6   Non-Resisted Motion Revision (4U)      Bernoulli Random Variables (3U)
Week 7   Resisted Motion (4U)      Binomial Distribution (3U)
Week 8   Projectiles and Resisted Motion (4U)      The Normal Approximation (3U)
Week 9   Resisted Motion Revision (4U)      Statistics Revision (3U)
Holiday 3   Topic Class Tutorial Homework

Trial Exam Preparation Course

Comprehensive Revision and Mock Trial Exam

Term 3   Topic Class Tutorial Homework
Week 1   Revision 1   
Week 2   Revision 2
Week 3   Revision 3
Week 4   Revision 4
Week 5   Revision 5
Week 6   Revision 6
Week 7   Revision 7
Week 8   Revision 8
Week 9   Revision 9
Holiday 4   Topic Class Tutorial Homework

HSC Exam Preparation Course

Comprehensive Revision and Mock HSC Exam



Thank you Prime for helping me with all my maths problems! The teachers have been very supportive towards my learning and also my peers. They showed me step by step and face to face. The atmosphere is always positive and I highly recommend this place for all students. Compared to other places, it is number one in my opinion!

Rachelle Zeng | Killara High School


Prime Education has really helped me and my confidence in General Mathematics. The tutors are very supportive and have no judgements or prejudice if you are struggling with anything. The work that is provided is very useful and relevant to excel in all subjects, especially during senior school.

Mercedes Janecek | Chatswood High School


Prime Education has allowed me to gain insight to a whole new way of learning. It has assisted me throughout the past 2 years and helped me achieve the best I can in Extension Mathematics. Not only has Prime given me great education but it has allowed me to gain motivation and interest in Mathematics. Furthermore, I have also met great new people who gave me guidance throughout the time.



At Prime, I am doing both English and Maths. Maths is very helpful as I am able to learn topics in advanced on the classes. On Saturday Individual Tuition Lessons I am able to sit down with one of Prime tutors who can give me some practice questions for any up coming exams. I have recently started English and I have enjoyed it so far. There is a lot of different information that the English tutor has taught me about the Shakespeare Era. She is also very good at helping me to prepare for my up coming assessments. Prime Education is very friendly and is always willing to help me!

Brandon McBurney | SCECGS Redlands


I think Prime Education is a wonderful educational place. The staff and teachers are all very helpful and their attitude to everyone is very personal. I feel like my confidence in maths has gone up ever since I have come here as my marks at school have increased and I have a deeper understanding of most topics.



Prime Education has helped me greatly in improving my maths for the HSC. The lessons are always planned out so that there is no time wasting and so that they can target specific skills needed. They are very good!

Sean McCracken | Davidson High School


I have found Prime Education a wonderful way to learn and develop new maths skills that keep me ahead of class. By learning these topics in advance I feel more confident in school as it becomes revision. Since I started at Prime, I have moved up 4 classes and ranking 3rd in my year. Thanks to Prime, maths has been much more enjoyable and easier to learn at school. By gaining the understanding and foundations during the week classes, the Saturday lessons are a chance for me to test what I have learnt and see where I go wrong. The homework also is a good way to revise the new topics to familiarise myself with them.

Alicia Philips | Loreto Kirribilli


I’ve really enjoyed my time at Prime Education – Everyone is really friendly and the teachers are always willing to help. Their resources are very clear and concise, enabling for easy understanding and giving me confidence at school.