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This google drive has resources for many subjects, including a bunch of year 11 chemistry exams: https://drive.google.com/drive/folders/1PjjbRmvG6GG_TDyqMg1eAXd1rQnj18ID

Yes, geometry has been largely removed from the year 11 and 12 courses, and yet it is a useful tool for a variety of HSC problems, including trigonometry, optimisation (Adv) and vectors (MX1 and MX2).

If you are considering Extension 2, circle geometry from Year 10 is useful for parts of the complex numbers topic. Being able to set out working clearly and logically and without mistakes in algebra is extremely useful for higher maths.

I would also welcome any and all resources that people are willing to share, and am happy to share resources where I have them.

The best way to check understanding and consolidate knowledge is through doing questions of different styles and difficulty - so, text book questions at first, then questions from past assessments. Ultimately, you will develop a robust understanding by doing questions that require you to apply...

Yes, Induction is Yr 12 MX1, Sequences and Series are Yr 12 Adv It's a shame that even MX2 doesn't pursue these topics in the way they could. For example, it isn't hard to derive many of the induction results without induction, and induction can be used to confirm them, or to prove a result by...

This link only works if you can log in to the SDE site. Can you download the paper and then attach that to a post in this thread?

Rather than working from the result to a starting point and then re-writing backwards, you can use proof by contradiction. For example, if I needed to prove that x^2 + y^2 \ge 2xy \qquad \text{for all $x$, $y \in \mathbb{R} I could assume that theorem was false, and then proceed \begin{align*}...

I'm glad the explanation helped. I'll usually be less detailed :) Don't freak out. It might seem odd, but the HSC chemistry course thinks you should be able to solve \begin{align*} K_{sp}(\text{calcium phosphate, Ca}_3(\text{PO}_4)_2) &=...

I have uploaded one source of questions at https://boredofstudies.org/resources/sydney-grammar-2018-yr-12-half-yearly-physics-advanced-mechanics-with-solutions.20413/

The questions and solutions from the 2018 Yr 12 Sydney Grammar Half-Yearly Physics exam that relate to the Advanced Mechanics topic for the syllabus from 2019 onwards

The numbers have clearly been selected to make the cubic equation one that is reasonable to solve. If you get a cubic equation that is not straight-forward in a chemistry question, you've either made a mistake or the question is not suitable for the HSC chemistry course. What cubic did you...

Note: The initial mixture was not at equilibrium since Q = \frac{{\left[\text{SO}_3\right]_i}^2}{{\left[\text{SO}_2\right]_i}^2\left[\text{O}_2\right]_i} = \frac{0.1^2}{0.5^2 \times 0.25} = \frac{0.01}{0.0625} = 0.16 \neq K = 1000 and, as Q < K, the system was moving right. The doubling of...

Starting from the corrected question: An ICE table can be constructed for this question by first setting the initial [SO3] to C mol L-1 (as this is the answer sought), and using (for each chemical substance) the equations: initial concentration (Ci) is related to its initial chemical amount...

Thanks, that's it... I thought I was doing well remembering that it was \sqrt[3]{2} and that it was 267 decimal places!

This method is valid as, for any positive reals, 0 < a < b \implies 0 < a^2 < b^2 because b^2 - a^2 = (b + a)(b - a) > 0 \implies b - a > 0. It suffices as a method to establish that the decimal expansion begins \sqrt{2} = 1.41 ... as the function f(x) = x^2 - 2 is continuous throughout its...

Sometimes a better approach would be to use a proof by contradiction. For example, if a and b are unequal and positive reals, then a+b > 2\sqrt{ab} can easily be proven forwards starting from \begin{align*} \left(\sqrt{a} - \sqrt{b}\right)^2 &> 0 \\ \left(\sqrt{a}\right)^2 - 2\sqrt{ab} +...

Might I also note that your answer wastes 2 of the 7 lines in restating the question, and doesn't actually specify what is needed for an H-bond. You clearly know what is needed, but have assumed part of it without actually saying it. Also, consider what you would include if the question was...

talent-100 will certainly have some similar questions too

@jimmysmith560, perhaps this thread belongs in the Chemistry forum?