Somewhat low GPA, good tests/ECs. Chances for Princeton, MIT, JHU, etc.?

Chance Me / Match Me!
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Demographics: Half-Chinese male living in an affluent neighborhood. I attend a very competitive, highly-regarded public school.

GPA: 3.84 UW GPA/4.40 W GPA. School does not rank, almost definitely top 10%. Not an upward trend.

Tests: 2370 SAT first sitting (770 writing). 800s on Math 2, Biology-M, and Chemistry. 5s on AP Chem, Micro/Macro, Calc BC, and Bio. 4 on Stat, AP World/APUSH. 1510/1520 PSAT.

ECs: Science Olympiad (2 yrs, captain), Science Bowl (6 yrs), varsity crew (3 yrs), tutoring, middle school Science Bowl coaching (helped team make it to nationals for the first time in six years). Participating in a very selective summer research program (7 weeks, 4% acceptance rate). Founder of Biology Olympiad club. Research club participant.

Awards: 2016 USA Biology Olympiad National Finalist (top 20 in country). 3rd in state for a biology competition. 3rd at Science Bowl regional/state finals. 3rd and 5th state medals for Science Olympiad (both biology events). National AP Scholar.

Recs: Should be good overall, bio teacher 9/10 and English teacher 7/10. Possible supplemental from my research mentor this summer.

Right now, I’m looking at Princeton, MIT, Cornell, JHU, state flagship, Columbia, Vanderbilt, Case Western, UCB/UCLA, Brown, Rice, Stanford, Chicago, and some other schools (haven’t decided on a final list). Could I get a chance? Thanks!

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*Princeton SCEA by the way.

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You’re a very competitive applicant. I would say Case Western and the state school are the only for sure acceptances. UCLA, Rice, UCB, Vandy, JHU, and Cornell (in ascending order of difficulty) I think are all good low reaches and I think you’ll get into most. Brown, Chicago, Columbia, Stanford, MIT, and Princeton (again in ascending order of difficulty) are all extremely difficult and almost impossible to know based on stats alone. It all comes down to those essays. Work on them a lot. Be unique and yourself. Princeton I give you a 25-30% chance (maybe a little higher if you’re from a less competitive state) because I think you’re statistically better than others and last years SCEA acceptance rate was ~19%.

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How did you study for USABO i really want to make at least the second round of that Olympiad