## 2009 AIME I

The 2009 AIME I answers are posted here on AoPS.

By my standards, I failed with 3 (or 4?) careless mistakes:

- Incorrect. Sloppy thinking! 964 is geometric as well, not just 931.
- Correct. Silly algebra.
- Correct. Silly algebra. :)
- Correct. Silly geometry.
- Correct. Silly geometry!
- Correct. Close call, but caught myself thinking 4^3 = 4^4.
- Incorrect. Careless! I got to the end surprisingly quickly, finding that a_{n+1} = log_5{3n+5}, but in my excitement, instead of finding n for which 3n+5 equaled a power of 5, I found n = 5 for which 3n+5 equaled a
*multiple*of 5 instead. ERGH. - Incorrect. Careless. I screwed up simple addition.
- Incorrect. Counting problems murder me. Overcounted.
- Incorrect. This one wasn’t really a careless mistake. I knew that MVE had to repeat, so I thought about MVEMVEMVEMVEMVE and MMMMMVVVVVEEEEE but never considered something like MMVVEEMMMVVVEEE. eh I was just stupid.
- Correct. Easy for a #11.
- Unsolved.
- Unsolved.
- Unsolved.
- Unsolved.

for a total of 6 correct.

After crunching through the first 11 problems and checking (shame on me), I had 30 minutes left. Unfortunately, this was when a loud IT guy came in the room and tried to explain to the proctor how to reinstall MS Office on his MacBook; my concentration subsequently fell apart.

So an index of 100.5 (AMC 12A) + 60 = 160.5 this year. Progress from my 8th grade index of 139.5 (AMC 10B) + 70 = 209.5 is something I’d rather not think about anymore. :(

(but I will persevere and receive 138 + 110 = 248 next year!)