Chances for my top schools?

<p>Schools:
MIT (ED)
CalTech (ED)
Georgia Tech (ED)
Duke
Northwestern
Missouri University of S&T</p>

<p>Gender: Female
Ethnicity: Caucasian
Where I live: Illinois (If Illinois was a pregnant woman, I live in the belly! :D)</p>

<p>Background Info: I plan on majoring in mechanical engineering. I come from an extremely small school in rural Illinois. My school hasn't offered any AP courses except for Calculus AB, which just started this year. My school doesn't have an honors program either, but I am a year ahead in math if that means anything. Long story short, my school offers next to nothing for advanced students, but I have taken every opportunity available to me.</p>

<p>Class Rank: 1 of 42</p>

<p>Unweighted GPA: 4.0
Weighted GPA: 4.26</p>

<p>Scores:
ACT
English-35
Math-34
Reading-35
Science-36</p>

<p>I have yet to take the SAT subject tests.</p>

<p>Classes:
Freshman- Ag I, Band, Introduction to Physical Science, English I, Algebra I, Geometry, PE
Sophomore- Band, English II, Driver's Ed/ Health, PE, Algebra II, Biology, Ag II
Junior- Band, Pre-Calculus, Civics/Contemporary History, World History, Ag III, English III, Physics
Senior- Chemistry I, College English (Through my local community college), AP Calculus, U.S. History, Ag IV, Geography, Spanish I</p>

<p>Extra-Curriculars
FFA
Chapter Vice President
2nd Place at State Food Science CDE
Illinois State FFA Honor Band Member
Band
1st Chair Tenor Saxophone
Bradley University Honor Band Member
Volleyball
Varsity 2 years
Track and Field
Varsity 4 years
Scholastic Bowl
Varsity 4 years
Varsity Captain 3 years
WYSE (It's an Illinois thing)
4th Place in State Math
2nd Place in Sectional Biology
Student Council
Class Secretary
Red Cross Blood Drive student representative
History Club</p>

<p>Other:
High Honor Roll all 4 years
Countless volunteer experiences through FFA
Outstanding student award at my school in math and English</p>