Feeling like you're on top of all the Term 1 topics is really key, as then you can focus 100% on mastering the new topics next term.
HSC summer lectures are really popular as well. I've been to Sci School, which is great for maths, chem + phys. It really improved my class rankings
Re: HSC 2015 3U Marathon
For (iii), we can work out each derivative as follows:
P'(x) = b + 2cx + 3dx^2 + ... + znx^(n-1)
P"(x) = 2c + 6dx + ... + zn(n-1)x^(n-2)
...
P^n(x) = zn(n-1)...(n-[n-1])x^(n-n) = zn!, where n! = n(n-1)(n-2)...1
Since P^n(x) is a constant, P^(n+1)(x), i.e. the...
re: HSC Physics Marathon Archive
Since each moon orbits the same planet, M_planet is the same for each of them. Orbital velocity is independent of the mass of the orbiting object. Since each moon has the same orbital velocity, they all have THE SAME ORBITAL RADII, i.e. the ratio is 1:1:1...
For chemistry I found the Sci School holiday lectures really good. We went through all of Production of Materials in half a day (ethanol + polymers became so much clearer for me). Second half of the day was getting ahead on Acidic Environment
Sci School is really good for maths and chemistry. I never did physics. Presenter is a funny dude. More importantly, his explanations were really easy to follow and he goes through past exam questions step by step.