I am preparing a student in 9th grade, who is just starting Geometry, for the PSAT. His school is using it for placement in AP classes, which is partly why they got a tutor. The parents and student seem to think that the PSAT will not cover as much Algebra II topics as the SAT. I have not heard that. It didn’t used to be an issue, as the SAT did not cover that advanced topics.
I found out it is actually the PSAT 8/9 they are taking, which involves less advanced material. There is one book out on the math section for it.