final vs final examination

final and final examination both are nouns.

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

As nouns, final and final examination are synonyms defined as:

final and final examination: an examination administered at the end of an academic term

Other synonyms of final include final exam.

final (noun)	final examination (noun)
an examination administered at the end of an academic term	an examination administered at the end of an academic term
the final match between the winners of all previous matches in an elimination tournament

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