I remember doing the folded-sheets part you mentioned as part of a test required to enter the military*. It was a test on paper, and I completed the language/reading/writing section so quickly that I could afford to take my time, but I don't remember if I drew diagrams or pictures to help myself. I do remember that apparently I did very well and have the spatial skills to be a fighter pilot if I want to (I laughed).

*I was rejected later on for health reasons. Which I'm still sore about, but that's unrelated.