At Stuyvesant High School here in NYC admissions is 100% test base, meaning the only criteria for acceptance is your test score. Here's a quote about their acceptance policy (from an article called "Paper Tigers" in NY Mag last year):
"Entrance to Stuyvesant, one of the most competitive public high schools in the country, is determined solely by performance on a test: The top 3.7 percent of all New York City students who take the Specialized High Schools Admissions Test hoping to go to Stuyvesant are accepted. There are no set-asides for the underprivileged or, conversely, for alumni or other privileged groups. There is no formula to encourage “diversity” or any nebulous concept of “well-roundedness” or “character.” Here we have something like pure meritocracy. This is what it looks like: Asian-Americans, who make up 12.6 percent of New York City, make up 72 percent of the high school."
Not sure if this article ever made Hacker News, but it's worth reading if you have a chance. It's long-winded, but being Asian-American myself there's a sort of poetic-truth to it: