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Also a cool way of doing the second part of the circle geo question: We want to show that OP is a tangent to the circle through PQC. Let there be a point D that lies on both the arc PC and the line OP extended. We know that angle PAO = angle APO by isosceles triangles, and angle APO =...

The locus of Q is most definitely not a full circle. The question also says that Q lies on a circle, this does not necessarily mean it maps out a full circle.

It was kinda obvious, most of the older maths guys here predicted it.

The last probability question was in this year's UNSW actuarial studies assignment.

I guarantee you that's not how it works.

Let x=3 to eliminate A/B, then x=0 to eliminate D.

Double angle formula?

Re: HSC 2014 4U Marathon - Advanced Level It's just in the form of: \frac{2^{ak}-1}{2^a-1} = 1+2^a+2^{2a}+...+2^{a(k-1)}

tbh I have to agree with IR

dw I was in that boat too

Basically the same in terms of scaling.

Let's not kid ourselves. Most posts by the UNSW crew should go there.

Yer this. 90 raw in 4U is pretty common lately, from memory last year about 20 or so people got over 95 raw.

Yer cos it's general... Other maths level do consult, as confirmed above by braintic.

Nah last year's was pretty normal.

You had no perms and combs or probability in your 4U exam. I wouldn't be surprised if it was a big chunk of Q14

Wait a minute Hi

97 doubt it

hahahaha lost it at "the markers were perplexed by the number of candidates who treated it as a quadratic"

uhhh how can probability be negative?