Who is this course for?

Specifically developed for Year 9 students studying Mathematics Advanced (5.3) and covers most of the content in 5.3 Mathematics (see list of topics below).

Through this course, we aim to give students an in-depth understanding of the topics and further develop their maths abilities. We will work to strengthen foundational skills, improve critical thinking and problem solving skills, and learn how to synthesise different techniques to excel not only in Stage 5 Mathematics but also for Stage 6 Mathematics!

recommended for students who:

✔ want to improve their maths skills and enjoy a challenge
✔ enjoy interpersonal interactions and in-class discussions in an informal environment
✔ desire the structure and accountability of weekly lessons
✔ appreciate additional support while in class


Face-to-Face Lessons

$70 per lesson (billed termly)
Discounts available!

✔ 2-hour weekly lessons through our teaching term
✔ Top quality teaching makes difficult concepts easier to grasp
✔ Topics are taught systematically and comprehensively
✔ Amazing learning experience
✔ Small class size allows for flexible topic schedule
✔ Comprehensive course notes for you to note-take and personalise
✔ 24/7 access to HSC101 for on-demand streaming of thousands of learning videos
✔ AI driven practices to help you master course content
✔ Workbooks with careful curation of challenging questions to help you go that extra mile
✔ Progress tracking to identify and overcome any challenges
✔ Always here and ready to help!


List of Topics

  • + The number system
    + Simplifying surds
    + Rationalising the denominator
    + Introduction to algebra
    + Expanding brackets
    + Special binomial expansions
    + Factorisation techniques (common factors, grouping in pairs and difference of two squares)
    + Factorisation of quadratic trinomials
    + Indices and fundamental index laws
    + Negative and fractional indices
    + Simplifying algebraic fractions
    + Multiplication and division of algebraic fractions
    + Addition and subtraction of algebraic fractions

  • + Solving linear equations (and problem solving applications)
    + Formulae (rearranging the subject)
    + Linear inequations
    + Solving simultaneous equations by substitution
    + Solving simultaneous equations by elimination
    + Simultaneous equations and problem solving
    + Solving quadratic equations by factorisation
    + Solving quadratic equations by completing the square
    + Solving quadratic equations by the quadratic formula
    + Quadratic equations and problem solving

  • + Distance, midpoint and gradient
    + Equations of lines and their graphs
    + Applied coordinate geometry
    + Shading regions
    + Sketching parabolas (general methodology)
    + Sketching parabolas by completing the square

  • + Introduction to statistics
    + Graphical representation of data
    + Cumulative frequency (distribution, polygon/ogive and curve)
    + Data analysis: measure of central tendency (mean, mode and median)
    + Data analysis: measure of spread (range, interquartile range, variance and standard deviation)
    + Box-and-whisker plot
    + Introduction to probability
    + Experimental vs theoretical probability
    + Compound events: independent vs dependent events; tree diagram
    + Mutually exclusive events

  • + Income
    + Tax and deductions
    + Consumption
    + Simple and compound interest
    + Depreciation

  • + Basic angle theorems
    + Parallel lines and transversals
    + Triangle theorems and special triangles
    + Quadrilaterals and special quadrilateral properties
    + Polygon angle theorems (interior and exterior angles)
    + Congruence (proving congruent triangles)
    + Similarity (proving similar triangles)

  • + Pythagoras' Theorem
    + Perimeter of plane figures
    + Area of plane figures
    + Arcs and sectors
    + Surface area of solids
    + Volume of solids
    + Similarity of figures and solids (area and volume)

  • + Introduction to trigonometric ratios (right-angled trigonometry)
    + Applications of trigonometry: angles of elevation and depression
    + Applications of trigonometry: bearings

Frequently Asked Questions

  • Please note the topics listed above are not covered chronologically.

    We cannot provide a fixed topic schedule as our topic order is dependent on the students in the class. Because we run small classes with a focus on our students, we sometimes adjust our topic order to help certain students in need of a specific topic first. While there is a general trend in the topic order, please contact us for specific details.

    Students who need to learn topics in an unconventional order can consider enrolling in our online course. You will have complete flexibility to determine your own topic order!

  • We offer significant amount of extra support for all our subjects outside of class.

    Students needing help with a particular topic, or just needing revision, can start by browsing our large catalogue of online learning videos on HSC101. For extra practice to master relevant concepts, our online homework system offers as much practice as you need with automatic marking and immediate feedback.

    For extra help, our tutors can be contacted outside of lesson hours on discord. If you don’t have discord, text/email is also okay! We are always happy to help - whether it's our work, schoolwork or preparation for an assessment!

  • We do not run any specific holiday programs. Y9 Mathematics Advanced will run lessons corresponding to the weeks in the normal school term. Note that our teaching week starts on a Monday and end on a Sunday. If school starts on a Thursday, our Week 1 will start the Monday of that very same week.

  • Not at all! All course material will be provided. Enrolled students will receive a comprehensive set of course notes and extensive workbooks, covering every facet of the course. Students enrolled in relevant subjects will also have access to HSC101, our proprietary online learning platform.

  • Yes, you can enrol any time!

    If you have missed any topics, we will do our best to patch you up! We can provide you with all the course materials for the missed topics. If we offer online courses for the subject you enrol in, you will receive complimentary access to those courses. You will be able to stream all our video lessons to bridge those missed topics. Your tutor will also be happy to help you with any further questions!

  • If our timetable does not work with you, we may start a class at a new time that suits your group, subject to our time availabilities. Please contact us to discuss further.

  • We believe that everyone should have access to quality education. As such, we charge fair rates that average out to be $40 per hour or less.

    To help make your life a bit easier, we offer the following discounts for our face-to-face lessons:

    - Early bird discount: enjoy a discount of $50 when you pay for an upcoming term before the end of the current term!
    - Loyalty discount: if you have been with us for more than one term, enjoy a further discount of $50!
    - Multiple subject discount: second subject receives 5% off, third subject receives 10% off, etc.
    - Yearly discount: Pay for the whole year and enjoy a 10% discount on your invoice total.

    If your family is experiencing extreme financial hardship and you would love to study with us, please get in contact with us!