----------------------------------- Clayton Wed Feb 21, 2007 6:43 pm Yesterday's Math contest(s) ----------------------------------- anyone else besides me write the Fermat (or Cayley or Pascal) contest? Any questions you that you had the "OMG wut t3h f**k"? ----------------------------------- BenLi Wed Feb 21, 2007 7:15 pm RE:Yesterday\'s Math contest(s) ----------------------------------- cayley here. What school do you attend freakman? oh and I found out today i got 118, craptacular ----------------------------------- Clayton Wed Feb 21, 2007 7:32 pm Re: Yesterday's Math contest(s) ----------------------------------- I go to CDDHS, but I didn't know you could find out your scores so quickly, what's the link? ----------------------------------- bugzpodder Wed Feb 21, 2007 8:09 pm RE:Yesterday\'s Math contest(s) ----------------------------------- certain large schools tries to figure out answers and mark them in the same day. ----------------------------------- Clayton Wed Feb 21, 2007 8:15 pm Re: Yesterday's Math contest(s) ----------------------------------- ahh, well, my computer science teacher (a math major, go figure) and I sat down during today's CompSci class and talked over and tried to solve questions 24 and 25 on the Fermat contest. We were getting close with 24 (we think it has something to do with similiar triangles) when the bell rang at the end of the day. ----------------------------------- Null Wed Feb 21, 2007 9:33 pm RE:Yesterday\'s Math contest(s) ----------------------------------- I wrote it. On 17 (the one with the unknown x coordinate of a point on the triangle) I got the right answer, then went back, misread the question, erased the right answer and replaced it with a guess. Yes, I know. :( I did ok last year (116), but I'm not happy about this year's. Regardless, it's all a learning experience. ----------------------------------- Clayton Wed Feb 21, 2007 9:39 pm Re: Yesterday's Math contest(s) ----------------------------------- heh, I had virtually no trouble with any of them up until part C (20 was a pushover question, 6 more points for me :D). I was so close to getting an answer to 22 (the billiard table question), I just needed a couple more seconds to test my answer, but I quickly circled in the answer because I think it was right (I got 7.5, anyone wanna verify?) ----------------------------------- BenLi Wed Feb 21, 2007 9:48 pm Re: Yesterday's Math contest(s) ----------------------------------- certain large schools tries to figure out answers and mark them in the same day. ie. Massey Oh and don't say" tries", our math department figures out answers and marks... crazyiness ----------------------------------- Clayton Wed Feb 21, 2007 10:01 pm Re: Yesterday's Math contest(s) ----------------------------------- hmm, the question that drove me the most nuts would have to be 24. basically, a line going from point P crosses through the parabola y = x^2 at points Q and R. PQ = QR. From this, you have to find the y-intercept. http://img401.imageshack.us/img401/4660/q24dm3.jpg ----------------------------------- CodeMonkey2000 Wed Feb 21, 2007 10:21 pm RE:Yesterday\'s Math contest(s) ----------------------------------- My friends took Cayley (i didn't) and one of the selections was 1337. I think everyone I know picked that for the fun of it. ----------------------------------- bugzpodder Wed Feb 21, 2007 10:53 pm RE:Yesterday\'s Math contest(s) ----------------------------------- that parabola is hilarious drop perpendiculars to the axis, from left to right call it P (same P), A and B let PA = z AO = x and OB = y, O is origin it follows that AQ = x^2 and BR = y^2 now by congruent triangles since PQ=QR it follows that z = x+y and y^2 = 2x^2 so y=sqrt(2) x are you missing any information? given any point on the parabola R i can construct it so that PQ=QR and P is the intercept... to see this, fix R on the parabola, move P around. near the origin PQ is almost 0 and far away PQ >>>>> QR so somewhere in between we must have PQ = QR ----------------------------------- Clayton Wed Feb 21, 2007 11:04 pm Re: Yesterday's Math contest(s) ----------------------------------- I was using a touchpad, not a mouse, now enough on the subject. The only thing that I didn't say was that the answer is an integer. Other than that, that was basically the question. When I get to school tomorrow, I can post it word for word. ----------------------------------- klopyrev Thu Feb 22, 2007 11:55 am Re: Yesterday's Math contest(s) ----------------------------------- Question 25 on the Fermat was an interesting question. You have to know Combinatorics to solve it though. You get an equation (b-g)^2 = b+g. You can find 59 solutions to that equation with 4