paycheck vs bank check

paycheck and bank check both are nouns.

Word	Noun	Adjective	Verb	Adverb
paycheck	Yes	No	No	No
bank check	Yes	No	No	No

As nouns, bank check is a hypernym of paycheck; that is, bank check is a word with a broader meaning than paycheck:

Other hypernyms of paycheck include check, cheque.

paycheck (noun)	bank check (noun)
a check issued in payment of wages or salary	a written order directing a bank to pay money