final vs exam

final and exam both are nouns.

Word	Noun	Adjective	Verb	Adverb
final	Yes	Yes	No	No
exam	Yes	No	No	No

As nouns, exam is a hypernym of final; that is, exam is a word with a broader meaning than final:

Other hypernyms of final include examination, test.

final (noun)	exam (noun)
an examination administered at the end of an academic term	a set of questions or exercises evaluating skill or knowledge
the final match between the winners of all previous matches in an elimination tournament

final (adjective)	exam (adjective)
occurring at or forming an end or termination
conclusive in a process or progression
not to be altered or undone