Interested in Northwestern, United States Naval Academy, and Vanderbilt, Do I even have a chance?

Chance Me / Match Me!
1

PSAT score: 1200 (this is after taking it one time without studying so I think I could probably get somewhere in the 1300s on the actual SAT)
ECs/Volunteering: Softball (varsity captain sophomore year, varsity pitcher freshman and sophomore year, have not played junior or senior year yet), cheerleading (varsity all years), National Honor Society, Golf (Junior year), Volleyball (freshman and sophomore year), basketball (freshman year), Art Club (sophomore year), Big Brothers Big Sisters (all years), Scholastic Bowl (sophomore year-JV, junior year-Varsity), Yearbook (sophomore and junior year), Youth Group, I also played travel softball and club volleyball outside of school, page for an Illinois state senator
GPA: UW- 3.9, my school does not offer APs or weight GPAs
Dual Credit Classes: statistics, calculus, advanced biology, CEO
Class Rank: my school does not rank because of its small size (I have 30 kids in my entire class)
Location: Central Illinois

I toured Northwestern University but I am worried that I would not be able to get in with my lower test scores and lack of AP classes
I am interested in the Naval Academy but again I am worried that I would not be able to get in with my lower test scores and lack of AP classes

Any suggestions are appreciated location does not matter too much but I would prefer not schools on the west coast just because that would be too far away

What schools should I be considering

2

Do actual prep before you take the SAT. It is very difficult to come up with suggestions when there’s no real, prepped-for SAT score. Your score could be 50, 100, 200 points higher than your cold PSAT, depending on a variety of factors.

I would expect a junior taking calc should be able to manage a pretty high score on the math section of the SAT. But, it looks like you’ll need to practice!

3

Make sure you apply to the Naval Academy Summer Seminar, and try taking the ACTs