Probably depends on the math. If it’s descrete math, or anything where you have to prove something, having internet access isn’t going to help (unless the test has been reused and uploaded). Either you can write a proof or you can’t. Looking something up probably can only get your so far.
No, you didn’t. You saw a third party controller.
I guess the goal is to profit from confusion, and it seems like it’s working because even people on Lemmy are tricked by it. Consider the average consumer.