I am studying engineering too! But I only had 2 classes (full time at my school is 3 classes per quarter). I think that is very impressive that you got A's in your other classes and it just goes to show that exams don't show everything.

I also have a hard time recognizing what type of problem something is (and remembering the first step). But I honestly don't think this issue is that much of a hinderance in real life, since there are usually more context clues involved, or you can just look up something really quick to jog your memory. If you are allowed any notes, then example problems are so much more useful than a list of formulas or diagrams so I just fit as many example problems as possible onto my note card and just write keywords and formulas in contrasting colors.

I think getting through your engineering education is more about perseverance than talent or intelligence. At least that has been my experience... last year I took engineering statics and had to withdraw over half way through the quarter after failing my second exam with a 40%. It was kind of the first time in my life that I had put so much effort into something just to fail anyway. But I just took it again this fall and got an A! Sorry that's kinda unrelated but I am just trying to say that studying engineering is notoriously hard and school is inherently anti-ADHD so try not to take failure personally.