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Found it pretty easy, but I lost 1 mark to a stupid mistake >.< I feel as if everyone who state ranks this year will get 100%

Hey man thanks for doing this :) One thing though, question 12 a) iii) asks for z^2-z(conjugate), not z^2-(z(conjugate))^2 (Also sorry for the formatting.) Edit: Looks like someone else beat me to spotting it ^^

School rank: 8 Mathematics Extension 2: 1/20 Mathematics Extension 1: 1/48 Physics: 3/45 Chemistry: 2/74 English Advanced: 119/138

For the simplest exact value, I'm pretty sure it's correct as long as the numerator and denominator can't cancel out anymore, i.e. factorisation of the numerator isn't required.

How would you factorise it fully?

x=60/(24+5pi) y=(60-10pi)/(24+5pi)