35. U.S. Military Academy — West Point, New York
Acceptance rate: 10%
SAT range: 1180-1400
The mission of this school, established under President Thomas Jefferson in 1802, is to educate and train cadets to serve as officers in the U.S. Army. West Point, as the school is known, is alma mater to many of the country’s most famous generals. Today, students can major in more than a dozen fields. Women were first allowed to attend West Point in 1976.