<p>The MIT admissions site lists some good math/science pursuits here:
[MIT</a> Admissions: Science Fairs, Olympiads, Etc.](<a href=“http://mitadmissions.org/topics/before/science_fairs_olympiads_etc/index.shtml]MIT”>http://mitadmissions.org/topics/before/science_fairs_olympiads_etc/index.shtml)</p>
<p>As for Intel, that is something you can update colleges about following completion of your application. In addition, since results are publicized, if you do great (Intel finalist, for instance), your colleges will know. You can also let MIT know about the research you’re doing, perhaps in the Additional Info section, or if the question is posed (like it has been in previous years), “Tell us about an original idea you came up with.” (or a variation of that).</p>