half-term vs holiday

half-term and holiday both are nouns.

Word	Noun	Adjective	Verb	Adverb
half-term	Yes	No	No	No
holiday	Yes	No	Yes	No

As nouns, holiday is a hypernym of half-term; that is, holiday is a word with a broader meaning than half-term:

Other hypernyms of half-term include vacation.

half-term (noun)	holiday (noun)
a short vacation about halfway through a school term	leisure time away from work devoted to rest or pleasure
	a day on which work is suspended by law or custom

half-term (verb)	holiday (verb)
	spend or take a vacation