I studied the test answers without permission
Why did you feel the need to cheat on your test?
My professor is old fashioned, he doesn't teach all the material of our course.
It can be tempting to study the test answers to be ready for the test but you shouldn't do it. You could get suspended or expelled if caught. It is better to study the material instead.
I'm going to ask my professor if he has problems but in a respectful manner.
If you don't feel prepared for the test stealing it might be a sign you cheated. You can ask him what other materials might be covered by the test so you can study for it and be prepared.