Huh, @puzzlezaddict is correct. It was indeed the AP exams that provided those fun student ID stickers on the forehead moments I was so fondly recalling and not state level standardized testing. Scantrons wouldn't have been sufficient alone because AP exams require, or at least they did back then, both multiple choice and free answer type questions and the brand name hadn't quite taken off yet.
OMG, those (American/European) History exams. Here are 26 lettered documents to analyze, exhibits A through Z, before writing your essay. As far away from multiple choice, scored strictly by computer, as one can get.
Part of the point of the stickers was to allow the different sections to be scored separately from each other, then the exams needed to be reassembled efficiently with no sections getting lost. And yes, okay there was some value to being able to skip over how poorly Calculus I and II were taught at Uni and jump right into III. Only our precious little feelings of perceived individuality suffered because suddenly we were each reduced to a bunch of numbers like everyone else in the country taking those tests at the same time. ;)