<p>If your plan is to be admitted to one of them you need to an individual strategy for each school.</p>
<p>MIT is a special animal and looks for specific traits among its applicants. There are no legacies or athletic recruits so in theory the field is more open to unhooked candidates. On the other hand, MIT looks for specific types, not just the excellent student with great tests scores. You may remember the polish kid last year who was accepted to every single Ivy and turned down from MIT, which was his first choice. SAT scores of applicants are generally high but quite secondary for admission. An 800 math SAT is completely unimpressive. Many applicants have taken the AMC and AIME and scored high on those tests. Others have participated in science competitions. Virtually all have some oustanding feature in math or science. MIT will look for creative types and adcoms can tell right away if you fit the profile. The real selection starts after that. Check out who got into MIT from your school in the past and see what they did. You may not want to waste your time applying as the process takes time and MIT does not use the common app. They will on the other hand review anything and everything that may strengthen your application. Interviews are very important and you can send as many recs as you want. </p>
<p>Stanford has large numbers of hooked applicants and superscoring bright students are the norm among the unhooked applicants. With no interview, limited set of recs, it is hard to stand out in the crowd. Our own experience at our high school (CT) is the high level of randomness in the acceptances. Don't bet on anything.</p>
<p>HYP are all different. Harvard likes to compete with MIT for top math and science talent while Yale does not seem to care. At our school Yale will often admit the val or sal and then pass on the rest unless they are hooked. Princeton is quirkier and will pick a top 10 student (not top 10%) if they like the profile. </p>
<p>In the end you need to look at the numbers. HYPSM admit roughly 9,000 students which in the end represent probably no more than 7,000 individuals counting multiple admits. (HYPSM lose admits to each other but very few to other schools.) if 40% are hooked that leaves around 4,000 students total admitted based mostly on academics. That is a tiny number. Real acceptance rates for these candidates probably hovers at 5% or less and there is little correlation with SAT scores above a 2200 threshold. Accepting some level of randomness in admission, you are probably not talking about a much greater than 10-15% actual acceptance chance at ANY off the schools, even with super stats. </p>
<p>If you throw in all the top ten schools you may actually get closer to a 50-50 chance to get admitted to at least one of them. It is a game that many high achieving students play in our geographic area and it does seem to work i.e. top students will more often than not be accepted to at least one top ten school.</p>