Interesting. Sounds like our experiences were quite different. But I do agree that advanced math was not part of the bio classes I took in undergrad. Just stats. (More math for those who went down a population genetics path etc., but that was not the mainstream.)
A typical assignment in Bio 101 was to come up with a question, plan an experiment, choose a stats method to analyze the data (basic stats, nothing fancy), and write a paper using standard format (abstract, introduction, methods and material etc.)
Tests in Bio 101 allowed a 1 page “cheat sheet” of notes. In more advanced classes the standard was open book tests.
But I agree that if my bio major experience had been memorization it would have been a real turn off. I would have hated memorizing the names of plant parts too!
I think for the OP who is trying to decide between premed and engineering, that they should try to find a college where there is little memorization if that is the style they prefer. This is a given in engineering, but it sounds like it’s not a given in Biology departments.
ETA: that multiple choice test you linked to above was nothing like any test I ever experienced. So this does speak to there being a wide variation in styles among Bio departments, at least in intro classes.