> Not always true. Look at the SHSAT. If you looked at the poor kids and took the top scores, it would be mostly Asians.
That's assuming you're filling these slots solely on the basis of highest score and not, for example, setting a threshold score below which you might not expect those students to be able to succeed in that environment and then choosing from the remainder by lottery.
After all, if the point is diversity, "students with near-perfect standardized test scores" might not be the most heterogeneous group. And the kids with the near-perfect scores should be able to get in without consideration of their income level.