<p>Hey, I think this is all very good advice. It resonates a lot with my high school career and is basically what I pursued. Not only does this help you get into a better college, but also studying for all these exams helps you to be more prepared for college. Also, these are achievements that you can leave on your resume for the rest of your life. I might add, you will also want to pursue independent research in addition to all this brute force academia, such as the Siemens Competition. </p>
<p>I think this type of a track is something an Asian overachiever would try to attempt, which I think is great. This is solid advice, and getting all at least half of these accomplishments will definitely guarantee you in at least one of HYPSM, no doubt. But of utmost importance is that studying for these exams, in particular the USAMO (AOPSV1 and V2) makes you a much smarter person in general.</p>