first-rate vs super

first-rate is not a noun while super is a noun.

Word	Noun	Adjective	Verb	Adverb
first-rate	No	Yes	No	Yes
super	Yes	Yes	No	Yes

As adjectives, first-rate and super are synonyms defined as:

Other synonyms of first-rate include A-one, ace, crack, tiptop, top-notch, topnotch, tops.

first-rate (noun)	super (noun)
	a caretaker for an apartment house; represents the owner as janitor and rent collector

first-rate (adjective)	super (adjective)
of the highest quality	including more than a specified category
	extremely large
	of the highest quality

first-rate (adverb)	super (adverb)
quite well	to an extreme degree