USAMO qualification vs USAMO honorable mention

<p>I am in 11th grade and I wanted to know if the extra studying to get a USAMO honorable mention/winner will make an admissions difference compared to qualification.</p>

<p>My other activities are:</p>

<p>-Vex robotics world championship qualifier
-Exothermic Robotics Club vice president
-National Honor Society treasurer
-Math club co-president
-Teach my own private math class
-Ski instructor with a professional ski school
-USAJMO qualifier
-Member of a Indian community volunteering group
-Play saxophone for all-state band (might try and get few professional gigs)
-Coded 2 apps
-Planning on doing a microsoft high school internship this summer</p>

<p>My grades are all fine (estimating a GPA of between 3.85-3.90)
I can get 33-34 on the ACT
I have taken/will take plenty of AP/Honors courses</p>

<p>The institutions I am looking at are top tier (MIT, Stanford, CalTech, CMU, Berkeley, etc) computer science universities. </p>

<p>So, will working for the HM for USAMO make the difference or am I okay with my current activities and academics plus the qualification?</p>

<p>MIT: Reach
Stanford: Reach
Caltech: Reach
CMU: Reach
Berkeley: Match</p>

<p>Is this with or without the HM/Win on USAMO. Also, why do you say these are all reaches and does anyone else have different opinions?</p>