YEAR 10 MATHEMATICS ADVANCED

+ Simplifying surds
+ Rationalising the denominator
+ Expanding brackets: distributive law
+ Expanding brackets: quadratics and cubics
+ Revision of factorisation techniques (common factors, difference of two squares and grouping in pairs)
+ Factorisation of quadratic trinomials
+ Factorisation of sum and difference of two cubes
+ Revision of indices (index laws / negative and fractional indices)
+ Revision of algebraic fractions (simplification / multiplication&division / addition&subtraction)
+ Simplifying compound algebraic fractions

+ Solving linear equations (and problem solving applications)
+ Formulae (rearranging the subject)
+ Linear inequations
+ Revision of quadratic equations (by factorisation / completing the square / the quadratic formula)
+ Equations reducible to quadratics
+ Quadratic equations and problem solving
+ Further quadratic equations: theory of the discriminant
+ Further quadratic equations: nature of parabola
+ Further quadratic equations: intersection points and the discriminant
+ Further quadratic equations: relationship between roots and coefficients

+ Revision of basic coordinate geometry techniques (distance, midpoint and gradient)
+ Angle of inclination
+ Working with linear equations (graphing lines and finding their equation)
+ Applied coordinate geometry
+ Sketching parabolas (general methodology)
+ Sketching parabolas (by finding the vertex)
+ Quadratic inequations
+ Maximisation and minimisation of quadratics
+ Further curve sketching: sketching power curves
+ Further curve sketching: sketching exponential graphs
+ Further curve sketching: sketching hyperbolas
+ Further curve sketching: sketching circles
+ Curves and intersections



+ Revision of trigonometric ratios
+ Angles of any magnitude (related angles and ASTC)
+ Special angles
+ The sine rule
+ The cosine rule
+ Area of triangle formula

+ Euclidean geometry
+ Financial mathematics
+ Measurement
+ Statistics and probability

+ Properties of a circle

+ Chord theorems

+ Angle theorems
+ Cyclic quadrilaterals
+ Tangent theorems
+ Alternate segment theorem
+ Intercept theorems

+ Logarithmic form
+ Logarithmic laws

+ Change of base formula
+ Solving exponential equations

+ Terminology of polynomials
+ Polynomial long division
+ Remainder theorem
+ Factor theorem
+ Graphs of polynomial functions

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. Y10 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!