entrance exam vs entrance examination

entrance exam and entrance examination both are nouns.

Word	Noun	Adjective	Verb	Adverb
entrance exam	Yes	No	No	No
entrance examination	Yes	No	No	No

As nouns, entrance exam and entrance examination are synonyms defined as:

entrance exam and entrance examination: examination to determine a candidate's preparation for a course of studies

entrance exam (noun)	entrance examination (noun)
examination to determine a candidate's preparation for a course of studies	examination to determine a candidate's preparation for a course of studies