Is there a shortage of students who have a grasp of elementary school math, who apply to UC?
Instead of admitting the captain of the ping-pong team (who can't count past 21 - or past ten without pulling off his boots), maybe admit any one of the students who... Did not have the extracurricular pedigree, but actually applied themselves and passed Math 12?
Surely, there's more than a few hundred of the latter in California.