<p>Okay, so perhaps I exaggerated the concordance of scores slightly- I don’t spend time looking at the AMC data sets. </p>
<p>And I suppose I didn’t realize how many people qualified for AIME. But that doesn’t change the prestige involved. Qualification for AIME demonstrates a higher mathematical aptitude than SAT I math does. Perhaps a similar number of people score at the discussed thresholds, but that doesn’t change which one is obviously harder. AMC-takers are self-selected. SAT-takers are not. </p>
<p>I suppose we’ll have to agree to disagree, but thank you for writing a well thought out argument. You have an interesting point.</p>