<p>In 2008, there were 25 perfect scores on the AMC 12, A & B combined.</p>
<p>It seems the USAMO and AMC12 are ranking this guy at the 25-50th range. </p>
<p>If the score on the intermediate exam is below that rank, it undercuts the perfection of the AMC12. If it is consistent with that rank or even higher (which I doubt because OP didn’t mention it), that’s a good sign for the candidate’s speed and accuracy which is a somewhat separate question from olympiad performance.</p>
<p>From what was posted so far, it looks to me like the USAMO/IMO results are the one big data point that subsume everything else, as far as math is concerned. If there’s a lot of theoretical math study beyond olympiads that would be an additional strength. A surprising number of IMO hopefuls don’t have that, and a lot of the theoreticians can’t solve hard olympiad problems. If you can do both, the pool of direct competitors shrinks.</p>
<p>Blue Mop is 13-30th range. I think the USAMO score will matter much more than the perfect AMC 12 score. Maybe I’ve missed it in this thread, but how have did you do on the CMO? A USAMO Blue Mopper should be able to make the Canadian IMO team. Haha I’m also ****ed about not getting HM, but I think blue mop is really worth it for the camp experience.</p>
<p>Each reading is a noisy measurement. The rankings of all students would be shuffled a little bit (and for some, a lot) if the exam were re-administered. This is why multiple readings are informative; you can’t just cherry-pick the highest result and assume that everyone will take that to be the sole indicator of performance.</p>
<p>If I read the composite score chart correctly, the only AIME index that could have been achieved by an 11th-grader with a perfect AMC12 in the 2009 competition is 2500, 2300, or 2200 with lower scores not making the cut. This means the highest possible AMC12+AIME rank is a tie for 97-117th (avg. 107th) and the best possible AIME score is 10, which ranks 137th-281st (avg. 209) or 66th-146th (avg 106th) depending on which version of the exam was taken.</p>
<p>If this is correct, there isn’t any additional information in the test results beyond USAMO and IMO. If you can get near-perfect scores on AMC+AIME that is of interest for other purposes beyond olympiads. But if you just do well in leaping those hurdles to make the next round, it’s only the end result that matters.</p>