This shouldn't be a hard problem to solve. At the state university I'm most familiar with, every incoming Freshman takes a math assessment test. If they don't pass it, they have to take remedial coursework (which does not count towards their degree requirements).

And yes, every student takes it, even the ones with high school AP math and high SAT math scores. The only exception might be if they have already completed and passed actual accredited university math courses for credit.