bike race vs criterium

bike race and criterium both are nouns.

Word	Noun	Adjective	Verb	Adverb
bike race	Yes	No	No	No
criterium	Yes	No	No	No

As nouns, criterium is a hyponym of bike race; that is, criterium is a word with a more specific, narrower meaning than bike race:

bike race: a race between people riding bicycles
criterium: a bicycle race held on a short course (usually less than 5 km or 3 miles)

Other hyponyms of bike race include Tour de France, crit.

bike race (noun)	criterium (noun)
a race between people riding bicycles	a bicycle race held on a short course (usually less than 5 km or 3 miles)