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Re: 2012 Year 9 &10 Mathematics Marathon I will show you the working out if you want although I am slightly too lazy to type it all out. Essentially: Construct a trapezium from the stick to the radius of the large circle and find area. Add the area of the large semicircle. After this...

Re: 2012 Year 9 &10 Mathematics Marathon Is the longest length of the stick = 2 units?

Re: 2012 Year 9 &10 Mathematics Marathon Apologies for not seeing this question earlier: I let the radius of the larger circle be x and the radius of the smaller circle be r, \pi r^2=\pi x^2-\pi r^2 Rearrange for x and eventually you get: x=r\sqrt{2} Therefore, we are given that the...

I think they have a tutorial or beginners section to get you started on the actual asx website?

What don't you get about it?

Inb4 surprise assessment. :P

Should most likely respond to this comment so here it is. Have there been any major accidents before with maccas (just curious). It almost sounds like human exploitation when you describe those methods they use to cook fries. Sounds like a tedious job but rest assured, I believe you'll work...

Alright. Think like this: Have you worked out the total number of permutations for 8 shirts, whilst taking into account identical pairs?

Seen this question before. Quite tedious. Do you want some hints or straight off the bat working out?

In the end, it is your decision whether or not you choose to go to a selective school. Based on your pros and cons, I reckon the pros of going outweigh the cons so in my view, I reckon you should follow up the offer. (this is my thought, don't let it influence your decision)

Yes. D you have a goal as to what you want to do in future?

Re: 2012 Year 9 &10 Mathematics Marathon Beat me to it. So quick. ^

Re: 2012 Year 9 &10 Mathematics Marathon I'll go and post an interest algebraic question I found for tomorrow. I'm sure you'll be able to do it if you put some thought into it.

Re: 2012 Year 9 &10 Mathematics Marathon The working out on LaTeX for the equation of the circle was slightly tiresome but worth it: x^2 - 2x + y^2 +4y -3 = 0 x^2 - 2x + y^2 +4y = 3 (x^2-2x-(1)^2)+(y^2+4y+(2)^2)=3+1+4 (x-1)^2+(y+2)^2 = 8 Therefore, centre = (1, -2) and radius =...

Re: 2012 Year 9 &10 Mathematics Marathon Sorry that I didn't get to your Q earlier but here it is now: \frac{6^n+3^n}{2^{n+1}+2} \frac{3^n(2^n+1)}{2(2^n+1)} =\frac{3^n}{2}

Re: 2012 Year 9 &10 Mathematics Marathon It is quite easy. I learnt through trial and error and people would generally laugh at me (still do) about my beginner LaTeX skills. Try this for for LaTeXing and copy paste your text from the site onto your post with and surrounding it...

Re: 2012 Year 9 &10 Mathematics Marathon So given that m=tan\theta y=tan\theta(x+1) y=xtan\theta + tan\theta I am still not certain about my answer because it simply doesn't sound legit to me but I'm happy to learn (correct me because it doesn't sound right).

Re: 2012 Year 9 &10 Mathematics Marathon My bad. You're already given the gradient for m so can you explain how y-intercept is found please? I haven't done any year 11 maths so forgive me if I am clueless as to how I should approach the question.

Re: 2012 Year 9 &10 Mathematics Marathon The circle paper (almost forgot about it) For ii) Now, sin(180-2\beta )=sin2\beta Apply sine rule: \frac{PQ}{sin2\beta }= \frac{1}{sin\beta } PQ = \frac{sin2\beta }{sin\beta } I'm not quite sure if this is correct or whether I can continue to...

Re: 2012 Year 9 &10 Mathematics Marathon Does somebody capable want to do do this question? I have an answer for it but I will let others answer it instead of me for a while.