literally everything.What is some useful background information for this event?
Sorry, but I'm not following what you're saying there. I might just be misreading, but can you describe it again, please? I just got put into this event for regionals but have had no practice, and I want to do as well as possible. I bought the book How Many Licks? (Or, how to estimate d*mn near anything) which is an awesome book but it has no information on those crazy math problems. Also, is there a quick way to calculate roots (not necessarily square)?I have been wondering about this as well. I had one question at an invitational that had three factorials multiplied by each other (something like 23!*34!*45!).I got 4th at the Athens - 42 questions, finished in 33 minutes. No unusual questions, some funky math ones (23! * 34! * 41!, I think) and a few general randomness ones. Great job to Solon, I heard you guys got 32 5's or something :O
I'd probably round the numbers in the factorial to get 23! as 1*1*1*1*10*10*10*10*10*10*10*10*10*10*20*20*20*20*20*20*20*20*20, and then combine that to get (10^10)*(10^9)*(2^9). Since 2^9 is 512, that would be a factor of 19+3=22. However, I don't really do Fermi, so I don't know if you can round like that.
Nope - the closest thing to that is an image on a test. They gave us an "actual size" of something, and asked us a few questions about it. But never a physical entity.I am curious if anyone has ever seen an event supervisor bring in a physical for teams to visually measure to use in a Fermi question? (eg the supervisor brings in a jar of jelly beans for teams to give a Fermi answer for the number of jelly beans).
<quizbowl> ey kid ya want some shortbread
<EASTstroudsburg13> I don't know why, but I just can't bring myself to delete this post.
Was that on your regional's test?Nope - the closest thing to that is an image on a test. They gave us an "actual size" of something, and asked us a few questions about it. But never a physical entity.I am curious if anyone has ever seen an event supervisor bring in a physical for teams to visually measure to use in a Fermi question? (eg the supervisor brings in a jar of jelly beans for teams to give a Fermi answer for the number of jelly beans).
Yeah, I can't imagine there's any good reason for that besides "it's easier". Rounding should really be determined by 0.1*sqrt(10) (0.3ish, close enough) rather than 0.5.One question: why is it that a number beginning with a digit 5 or greater is rounded to the next power of 10, and a number beginning with a digit less than 5 is rounded down? The event asks us to estimate the answer to the nearest power of 10, so that's equivalent to estimating the log of the answer to the nearest whole number. Then shouldn't it make sense to round up when the decimal part of the log is 0.5 or greater and round down when the decimal part of the log is less than 0.5? This corresponds to rounding to the next power of 10 when the original number is greater than the square root of 10 (about 3.16) and rounding down when the original number is less than the square root of 10.
All you really have to know for factorials is that n! is approximately (n/e)^n*sqrt(2pi*n), so taking a logarith base 10 gives a general equation for the order of magnitude:I haven't faced any factorials in any of the tournaments I've been to. They must not be that popular in the Kansas region... But just in case, how would one ideally (quickly, fairly accurately) find a factorial during a Fermi Test? Or do you just have to memorize general ones?
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