Chances of getting into Princeton?

<p>I've wanted to go to an Ivy since I found out about them at age 10 and for the past 3 years Princeton has been the school of my dreams. But I need to know if I have any chance of being accepted. I've tried talking to my school counselors about Ivies but they really don't have any advice because everyone in my Utahn/mostly LDS school just wants to go to BYU. Please bear with me as I haven't taken the ACT or SAT.
I am a Sophomore this year.
Last year I really didn't do anything extraordinary in my schooling.
My GPA is a 3.98 (first A- in honors math this year)
I am ranked in the top 10% of my class
I am in honors English and math this year (AP not offered until next year)
I have the highest scores possible in my English benchmark tests for the past two years.
I have taken an old ACT as a practice, scored 31.
EC's:
In my school's elections and eligibility committee which is a high honor because it comes from teacher recommendations and only 3 people are chosen from each class. I will be in this committee for all my high school years.
In school's service club
In NHS, NJHS last year.
In FBLA/DECA, first competition next week.
In FCCLA
Many, many, many service experiences as well as unofficially tutoring several friends.
I can't do sports for health reasons but I am hoping to play bass for my school band next year.</p>

<p>Do you think I have any chance? What advice do you have for me about ivy leagues? Thanks so much!</p>

<p>Without SAT/ACT scores, it’s impossible to tell whether you’ll get in or not. (By the way, judging by the way things are going on the ACT thread, practice tests, even official ones, may be slightly easier than the real thing, so make sure you prep).) Anyways, you need high scores (2300+ or 34+ to be safe), and also you need to demonstrate that you are passionate about your ECs. Right now, they don’t seem like anything special. Find something you love that makes you stand out from the crowd. Good luck!</p>

<p>I think you definitely have a chance. However, with schools like Princeton things can be weird; no matter how qualified you are, they might reject you just because. But try to really do well in the SATs, that helps. Prepare, especially for math. Don’t neglect math.</p>