SUBJECTS / YEAR 12

MATHEMATICS EXTENSION 2

Complex numbers, mechanics and rigorous proof — the hardest HSC has to offer. Taught properly, they’re the most satisfying maths you’ll ever do.

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OUR TRACK RECORD

99.95 top ATAR · 100 perfect mark in Maths Ext 2 · 5.0★ on Google

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WHO THIS COURSE IS FOR

Built for Year 12 students chasing the top band in Extension 2

Developed for Year 12 students studying Mathematics Extension 2 — the most demanding course in the HSC, and the one where expert teaching matters most. We make the abstract concrete. Every topic is built from the ground up, and every lesson ends with problems that make you think. This is why our students do so well consistently — including a prefect 100.

  • You want to genuinely understand maths — not just memorise it

  • You learn best through discussion in a relaxed, informal classroom

  • You want the structure and accountability of a weekly lesson

  • You appreciate extra support — in class and long after it ends

FACE-TO-FACE LESSONS

$120 / lesson

Billed termly, everything included. Averages to $40 an hour before any applicable discounts are applied.

WAYS TO SAVE

First lesson free · loyalty discount after your first term · multi-subject & sibling discounts

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Every lesson includes

You bring the pen. We bring the rest.

  • 3-hour weekly lessons — small class, taught systematically

  • Course notes — comprehensive, structured for note taking & revision

  • Curated workbooks — hand-picked, challenging questions

  • HSC101 access — thousands of videos, on-demand 24/7

  • Progress tracking — quizzes & homework monitoring

  • Out-of-hours support — always here and ready to help!

COURSE MAP

Every facet of the syllabus

  • Complex Numbers

    + Arithmetic of complex numbers
    + Polar and exponential form
    + Vectors
    + Locus
    + Applications of de Moivre's Theorem
    + Polynomials and complex numbers
    + Harder polynomials

  • Proof

    + Elementary number theory
    + Methods of proof
    + Inequalities
    + Mathematical induction

  • Vectors

    + 3D vectors
    + Vector geometry
    + Lines, planes and spheres

  • Integration

    + Revision of previously learnt integration techniques
    + Integration by change of variable
    + Partial fractions
    + Integration by substitution
    + Integration by parts
    + Reduction formula
    + Special properties

  • Mechanics

    + Extension motion
    + Simple harmonic motion
    + Resisted motion
    + Harder projectile motion

The hardest course deserves the best teaching

Come sit in on a lesson. It’s free.

No commitment, no payment details — just experience the class for yourself and see if we’re the right fit. Over 90% of students who try us stay for their whole HSC journey.

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