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Here's an easy question to kick off the night... Question: How many integers, greater than 999 but not greater than 5000, can be formed with the digits 0, 1, 2, 3, 4, 5 if repetition of digits is allowed?

LMAO you must wish you did the HSC in the pre 21st century era don't you?

Hmm... I didn't really find 2011 that difficult... as the questions that really stump me are the ones where you're meant to intuitively know when to draw graphs and how to interpret it and stuff. =( Other than that I'd say my other weakness in 3U would be the infamous "perms & combs", speaking...

Answers: (Going to assume you know how to do the first part.)

OH... wow... wish me luck in the exam guys LMAO

Hmm... how come it's not 30 P 8 as the sample space but rather, 30 C 8?

He means break up the integral into parts. i.e. x^2/root x - 1/root x. Right carrot?

Question: Wow. I don't know about you guys, but I reckon this question is pretty difficult, and with all the pressure of being in the hall and stuff, I probably wouldn't be able to complete this in the exam. Do you guys reckon a similar sort of question will appear in this year's paper?

Are you sure it's '1/10'? I'm getting something different. =(

EDIT: Tan 60 = 12/(x/2) [If you draw it out you will see why.]

Draw it out. It's really simple. Essentially it's... Let X = A side of the equilateral triangle. Tan 60 = 12/x x = 12/root3 Next part has two ways: a) Area Triangle = 1/2 X Base X Height = 1/2 X 2x X 12 b) Area Triangle = 1/2 X A X B X Sin C = 1/2 X 2x X 2x X sin60

+1 I'd advise you to look at the final two questions for each past paper from 01-011.

Do you mean the 'long conclusion' by Skeptyks? And if not, the one I issued myself? Or is my one just fine the way it is? Concise and straight to the point? And if not either his or mine, what do you propose I should write instead?

Will continue to update this thread with questions throughout the night IF I have to query something. So stay tuned. Thank you.

Yes. Well, that's what I think anyway.

What? If you mean the line before my "LHS > 21k" then no I haven't, because we have already proven that the things in the bracket are greater than 1 in the 'verify for n=2' segment.

Can someone verify? =/

Longer version? There's a LONGER VERSION?

lol.

95.00 =(