cheer vs hooray

cheer and hooray both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheer	Yes	No	Yes	No
hooray	Yes	No	No	No

As nouns, hooray is a hyponym of cheer; that is, hooray is a word with a more specific, narrower meaning than cheer:

Other hyponyms of cheer include banzai, bravo, hurrah, salvo.

cheer (noun)	hooray (noun)
the quality of being cheerful and dispelling gloom	a victory cheer
a cry or shout of approval

cheer (verb)	hooray (verb)
become cheerful
spur on or encourage especially by cheers and shouts
show approval or good wishes by shouting
cause (somebody) to feel happier or more cheerful
give encouragement to