New Methods Needed For Site

webmaster · Administrator

New Methods Needed For Site

Date: May 7, 2005

well, here are all the tricks i think should be added... but what do i know?

feet/second to miles/hour

percent with the repeating 3's and 6's

e.g. 15% OF 833 1/3 IS

taking the sum of fibonacci-like sequences

adding three fractions in this form

11/15 + 11/21 + 11/28

i think it's like a/(n(n+2)) + a/(n(n+4)) + a/(n+1)(n+4) ?

taking pi and e to irrational powers

squaring three digit numbers

fractions like 67/81 - 17/20 -- I had no idea how to do this at state, i spent about 30 seconds just staring at it, trying to come up with an answer

Approximating three square roots times each other , like sqrt(327) * sqrt (397) * sqrt (487)

the fraction equations - like (x-4) / 6 + (x-5) / 5 = x/30

that's all i can think of

bye,

vinay

Date: May 8, 2005

I agree with Vinay, all of those problems were pretty unique to this year, and probably have better approaches than most people take.

vvr1590 · Senior Member

OK, so , which ones do we know the tricks for?

feet/second to miles/hour --- multiply by 22/15, or 15/22, depending on the converstion

percents with the repeating 3's and 6's --- many ways of doing this

sum of fibonacci-like sequences --- multiply the seventh term by 11

adding three fractions in the form 11/15+11/21+11/28 --- 3*numerator/(middle denominator minus one)

fractions like 67/81 - 17/20 --- usually its a/b - (an-1)/(bn+1), and the form is

(a+b)/b(bn+1) ; this time it's negative,

squaring three-digit numbers; i guess i meant like 808^2, so it's just 652864; don't really know how to explain it, but you get it hopefully;

if it was 518 squared, then just do it like you'd square a number in the 50s, so, 268324

So that leaves three that I think are still haven't found maybe the best methods for---

taking pi and e to irrational powers - i guess just memorize pi^e, e^pi, etc. ?

fraction equations - any trick, or just cross-multiply and solve?

approximating three square roots times each other --- no idea

any suggestions?

vinay