MIT and Princeton chances

Hello,
I am a rising senior looking to attend a prestigious college next year such as MIT and Princeton.

Academics:
-Valedictorian of a National Blue Ribbon High School (class size approx. 300)
-Current summer intern studying high energy physics at Johns Hopkins University
-GPA: 3.96 out of 4.00
-QPA: 5.61 out of 6.00
-SAT: 1450 out of 1600. Not a satisfying score, but I did get a perfect 800 on the math section
-SAT essay 6/6/6
-SAT Subject Math Level 1: 730
-SAT Subject Math Level 2: 740
(Will take the Physics Subject test in the fall)
-APs- AB Calc:5 Statistics:5 PhysicsA: 4
-Vice President of the National Technical Honor Society at my school
-Vice President of the Fellowship of Christian Athletes
-Member of Spanish Honor Society, Math Honor Society, and Science National Honor Society. I tutor a minimum of 36 hours per year for Honor Societies
-I will (hopefully) become an Eagle Scout by November
-First Chair Clarinetist of our School’s talented Wind Ensemble
-I play the saxophone in the school’s jazz band

Athletics:

  • Varsity Indoor and Outdoor Track 9-11th grade. Have helped win 4 regional titles with my team. Additionally won a regional 4x800m relay with 3 others. Placed 4th a States in a 4x800. I have also won about 10 other small races individually
    -JV cross country 9-10th grade, Varsity 11th grade.

I am also a Polish American and am fluent in both English and Polish; I have also taken 5 years of Spanish

I hope my ambitions will pay off, I am just concerned that my SAT scores are not high enough. I appreciate any honest opinions about my chances at prestigious schools any and suggestions for me.

Thank You

Your GPA is certainly up to Princeton’s scraps, and your ECs seem pretty good. You have every chance if you apply Restrictive Early Action, but of those with perfect 4.0 GPAs, less than 10% are accepted by Princeton, so by no means is it clear-cut. Good luck!