The school I went to had a common Dynamics exam. It was considered the first “real” engineering course you took, and was the foundation for a lot of upper div classes. Regardless of your teacher or class time; all students took the same exam at the same time. Professors would grade other professors students.
It was also normal for a double digit % of the students to fail the exam and retake the course (me included).
Its not exactly what people think of as a standardized test, but it ensured all students in the school had the same acceptable level of comprehension on the subject.