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Re: 2012 Year 9 &10 Mathematics Marathon ive done it but not posting the solution russ3l is doing it

Re: 2012 Year 9 &10 Mathematics Marathon just checking : iii. 1000 cm^3 & d. 71.57 degrees (71 d 34 m) ?

Re: 2012 Year 9 &10 Mathematics Marathon part 1 TXY is right

Re: 2012 Year 9 &10 Mathematics Marathon $i. $\frac{1}{n} - \frac{1}{n+1}\\= \frac{n+1-n}{n(n+1)}\\=\frac{1}{n(n+1)}\\\\\\$ii. If n = 1, $n(n+1) = 1\times2 \\$Hence $(\frac{1}{1} - \frac{1}{1+1}) +(\frac{1}{2} - \frac{1}{2+1}) +(\frac{1}{3} - \frac{1}{3+1}) + ... + (\frac{1}{100} -...

Re: 2012 Year 9 &10 Mathematics Marathon i just did when n = 2 and 3 and using the solution function, i got my answer right for n=2 and 3 :) P.S. sleep is needed after such brain explosion

Re: 2012 Year 9 &10 Mathematics Marathon i know what ur "in fact" means :)

Re: 2012 Year 9 &10 Mathematics Marathon i hope the questions like the weights one above is not in the hsc :)

Re: 2012 Year 9 &10 Mathematics Marathon i hope these kinds of question only exist in competitions ... not hsc... P.S. i got my answer from my friend ... Mr. (or Ms.) Google :)

Re: 2012 Year 9 &10 Mathematics Marathon so the hsc ext 1 is not that hard ... :caffeine:

Re: 2012 Year 9 &10 Mathematics Marathon i think this way is better ! :)

Re: 2012 Year 9 &10 Mathematics Marathon i have done some "connecting" questions before

Re: 2012 Year 9 &10 Mathematics Marathon We're trying to get rid of x. a = 3(x-x^{-1})\\\frac{a}{3} = x-x^{-1}\\\frac{a^2}{9} = x^2-2+x^{-2}\\\\\\b = 6(x+x^{-1})\\\frac{b}{6} = x+x^{-1}\\\frac{b^2}{36} = x^2+2+x^{-2}\\\\$Join them together (and also to get rid all...

Re: 2012 Year 9 &10 Mathematics Marathon 1/2 times & R = 9 ??

Re: 2012 Year 9 &10 Mathematics Marathon sure Part 1 - Picking 2 marbles from Bag A 3 possibilities - GG, GR, RR (G - green; R - red) P(GG) = \frac{3}{14} P(GR) = \frac{4}{7} P(RR) = \frac{3}{14} Part 2 - Drawing 2 from Bag B From Part A: If GG is drawn - the marbles in Bag B will be...

Re: 2012 Year 9 &10 Mathematics Marathon 50.48 %?

Re: 2012 Year 9 &10 Mathematics Marathon Let me guess is the answer close to 50%?

Re: 2012 Year 9 &10 Mathematics Marathon The hint is really helpful :) $By drawing a factor tree - $935712=2^5\times3^4\times19^2\\\\$To make each power a multiple of 3 (so when times together it is a cube), I need to times (at least) $2^1 \times 3^2\times19^1 = 342\\\therefore$ Minimum value...

Re: 2012 Year 9 &10 Mathematics Marathon yep \frac{1}{x} is the answer :)

Re: 2012 Year 9 &10 Mathematics Marathon is it 75 ? :blink2:

Re: 2012 Year 9 &10 Mathematics Marathon iii. 4:9 not typing out the whole working out ... hate latex...