AIME lI
by math154, Apr 1, 2009, 10:41 PM
I think I got a 9. [1,8] and [10]. I definitely should have had [1,11], but I did something with nonnegative/positive on number 9 that ended up giving me an answer of 998 instead of 1000. On number 11, I forgot that
, so I spent a long time on
cases and since
works, I got
instead of
. This was probably harder than the AIME I, but I can't be sure. 144 on the AMC10A and a failing 115.5 on the AMC12B. So I made 2 careless mistakes on this, 1 on the 10A, and 6 or so on the 12B. Whatever...
Comments
Time to worry about MATHCOUNTS again.
Edit: I just realized, looking at my work, that I was going in a valid direction (not as nice as the trig substitution though), but actually blanked out on 14 and potentially may have gotten it, giving me a 12. But a 12 on the AIME I was much easier to get, so I'll just say the AIME II was harder.





Comments
1-4: Boring as usual.
5 was slightly better.
6 was really common; it was annoying but I managed to circumvent most arithmetic.
7 was okay but the arithmetic sucked.
8 was a nice problem I guess.
9 was okay as well.
10 was fine but pretty boring.
11 was fine except
was not large enough for me to see. 
12 was good taken out of the contest setting (finding the optimal configuration was cool).
13 was a nice problem.
14 was good I suppose, but calculus makes the insight very obvious...
15 was probably my favorite problem.
5 was slightly better.
6 was really common; it was annoying but I managed to circumvent most arithmetic.
7 was okay but the arithmetic sucked.
8 was a nice problem I guess.
9 was okay as well.
10 was fine but pretty boring.
11 was fine except


12 was good taken out of the contest setting (finding the optimal configuration was cool).
13 was a nice problem.
14 was good I suppose, but calculus makes the insight very obvious...
15 was probably my favorite problem.
Time to worry about MATHCOUNTS again.

Edit: I just realized, looking at my work, that I was going in a valid direction (not as nice as the trig substitution though), but actually blanked out on 14 and potentially may have gotten it, giving me a 12. But a 12 on the AIME I was much easier to get, so I'll just say the AIME II was harder.
This post has been edited 1 time. Last edited by math154, Aug 5, 2010, 8:45 PM