Is it haram to get to seek information for an exam from somebody who already took the exam? For example, me and my friend both took the same math exam. however she took it before me. Is it islamically permissible for my friend to give me details on the exam so that I might get a better grade.
It probably is haram. It is considered haram to cheat since cheating can be seen as a kind of 'lie' and it would be lying to take the test to show what are supposed to be your own abilities, but are actually answers you got from someone else.
Verily, those who forge lies they are Those who do not believe in Allah's Signs and Revelations and they are Indeed the liars. (Al-Nahl 105)
... Indeed Allah does not guide someone who is a liar and an ingrate.(39:3)