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Go Above and Beyond in Maths

Your progress is not determined simply by how much help you receive. It comes from identifying what you don't yet understand, learning it properly, and then deliberately practising it.

The purpose of this routine is to turn every practice test into a learning opportunity: test yourself, identify your weaknesses, learn the theory, practise those weaknesses, and then test yourself again. Over time, this creates a cycle where each test tells you exactly what you should work on next.

1. Test Yourself

  1. Complete a practice test — 1 hour
    Sit the test under exam conditions. Do not use your notes, stop the timer, or look at the answers. Treat it as a genuine assessment of what you can currently do independently.

    2. Complete a 1-hour test for Mathematics Advanced (Math Advanced prelim prep) on even days, and Mathematics Extension 1 (Math Extension 1 prelim prep) on odd days.

  2. Take a break — 15–30 minutes

2. Diagnose & Learn

  1. Mark the test and study the theory — 1 hour
    Once you have finished, use ChatGPT to quickly obtain the solutions if needed (for example, CTRL+A → CTRL+C → paste into ChatGPT). Spend approximately 15 minutes marking your test.

    Then spend the remaining 45 minutes identifying the specific topics you got wrong, could not complete, or were unsure about. For each of those topics, read the relevant theory or YouTube videos in their order of difficulty. Go from the easiest to the hardest. here.

    Don't just copy the solution. Work out why you got the question wrong and make sure you understand the method well enough to solve a similar question without help.

    By the end of this step, you should have a clear list of the specific topics you need to improve.

  2. Take a break — 15–30 minutes

3. Train Yourself

  1. Complete targeted practice questions — 1 hour
    Now practise the exact topics you identified in your test in their order of difficulty. Go from the easiest to the hardest. Don't simply do another random set of questions. Use your mistakes from the test to determine what you should practise.

For example, if your test shows that you struggle with simultaneous equations, completing the square, or differentiation, find a set of questions specifically targeting those skills. The resources below can help you do this:

You can also create a new practice exam containing questions on the areas you found difficult:

4. Repeat the Cycle

The goal is not to complete one test and move on. Each test should tell you what to work on next.

After completing your targeted practice, take another practice test and repeat the process. You should gradually see the same weaknesses disappear and new weaknesses become visible.

This creates a simple cycle:

Test → Identify weaknesses → Learn the theory → Targeted practice → Test again

Be Consistent

Do this routine five days a week. The aim is not to spend hours doing random maths questions. It is to make every hour of study purposeful by using your performance to decide what you should learn and practise next.

If you consistently follow this process, you will build both your mathematical knowledge and your ability to recognise and solve different types of questions under exam conditions. It should help you make significant progress towards catching up and being prepared for your Year 11 final exams.

Bring the questions you found difficult, the topics you identified as weaknesses, and anything you still don't understand to the tutoring session. This gives us something specific to work on rather than spending the session guessing where you need help.

The Principle

Don't just do more maths. Use maths to find out what you don't know. Then learn it, practise it, and test yourself again.

Math Advanced

  1. 08/09/2026 — Trigonometry: Unknown Side
    Questions — Trigonometry
    Worksheet — Year 9 Trigonometry
  2. 08/09/2026 — Domain & Range; Graphing Equations
    Questions — Real Functions
  3. 09/09/2026 — Negative & Fractional Indices
    Questions — Review of Index Laws
  4. 09/09/2026 — Centre of a Circle
    Questions — Cubics, Exponentials & Circles
  5. 10/09/2026 — Rationalising the Denominator
    Questions — Surds & Indices
  6. 11/09/2026 — Completing the Square
    Questions — Quadratic Polynomials
  7. 13/09/2026 — Differentiation: f'(x) = nxn-1
    Questions — Methods of Differentiation
    Adv Trial exams from other schools

Math Advanced prelim prep

Date Paper
Thu 13 AugBaulkham Hills
Fri 14 AugCaringbah
Mon 17 AugCheltenham Girls
Tue 18 AugCherrybrook Tech
Wed 19 AugCranbrook
Thu 20 AugEpping Boys
Fri 21 AugFort St
Mon 24 AugGirraween
Tue 25 AugGosford
Wed 26 AugHornsby Girls
Thu 27 AugJames Ruse
Fri 28 AugKambala
Mon 31 AugKnox
Tue 1 SepLoreto Kirribilli
Wed 2 SepNewington
Thu 3 SepNorth Sydney Boys
Fri 4 SepNorth Sydney Girls
Mon 7 SepRoseville
Tue 8 SepRyde Secondary College
Wed 9 SepSCEGGS
Thu 10 SepShore
Fri 11 SepSt Aloysius
Mon 14 SepSt George Girls
Tue 15 SepSydney Boys
Wed 16 SepSydney Girls
Thu 17 SepSydney Grammar
Fri 18 SepSydney Tech
Create your own exams based on the topics you want to be assessed on.

📄 HSC Mathematics Advanced Past Papers

HELM: Basic Algebra. Date due: 2025-12-09

HELM: Basic Functions. Date due: 2025-12-12

HELM: Equations, Inequalities & Partial Fractions. Date due: 2025-12-15

HELM: Functions and Modelling. Date due: 2025-12-24

HELM: Exponential & Logarithmic Functions. Date due: 2025-12-27

HELM: Trigonometry. Date due: 2025-12-30

HELM: Functions of Several Variables. Date due: 2026-01-02

HELM: Differentiation. Date due: 2026-01-05

HELM: Applications of Differentiation. Date due: 2026-01-08

HELM: Integration. Date due: 2026-01-11

HELM: Applications of Integration – Part 1. Date due: 2026-01-14

HELM: Applications of Integration – Part 2. Date due: 2026-01-17