<p>For almost all schools, qualifying for the AIME shows incredible math skills on an application. For Caltech, it is like being a nationally commended scholar on the PSAT. Almost all of their applicants have it or something similar to it. Heck, I know people who’ve qualified for the AIME 6+ times.</p>
<p>Qualifying for the USAMO, however, is still pretty prestigious.</p>