Back then, MEPS was called Armed Forces Examining and Entrance Station (AFEES), so I assume they did testing.
“I took a pre-ASVAB at school with the entire class (late 10th grade) and the ASVAB at Camp Pendelton, CA.”
That “pre-ASVAB” was probably the real ASVAB. The military convinced schools to administer the ASVAB as a vocational counseling tool; that it would indicate what fields students would do well in. There also may have been a financial incentive, but that was above my head. In my time, recruiters would get a dot matrix print out of the results including scores, contact information, and demographics. That list was by far our number one recruiting tool. If you were called by a recruiter that’s most likely where he got your number.