Your school sounds pretty jacked Laura. At my school, we started with Algebra in the 8th grade. Geometry was 9, Algebra 2 was 10, Pre-Calc was 11, Calc was 12.
If you were behind, you might start Algebra in 10, but most kids were in it by 8 or 9.
*shrug* I think the exam is a good idea. Would have kept a lot of the dumbasses from my class from getting a diploma. Alas, the Class of 2001 did not have the test.