assess vs rate

assess is not a noun while rate is a noun.

Word	Noun	Adjective	Verb	Adverb
assess	No	No	Yes	No
rate	Yes	No	Yes	No

As verbs, rate is a hyponym of assess; that is, rate is a word with a more specific, narrower meaning than assess:

assess: evaluate or estimate the nature, quality, ability, extent, or significance of
rate: estimate the value of

Other hyponyms of assess include grade, mark, score, value, standardise, standardize, reassess, reevaluate, censor, praise.

assess (noun)	rate (noun)
	the relative speed of progress or change
	amount of a charge or payment relative to some basis
	a quantity or amount or measure considered as a proportion of another quantity or amount or measure
	a magnitude or frequency relative to a time unit

assess (verb)	rate (verb)
evaluate or estimate the nature, quality, ability, extent, or significance of	assign a rank or rating to
estimate the value of (property) for taxation	estimate the value of
set or determine the amount of (a payment such as a fine)	be worthy of or have a certain rating
charge (a person or a property) with a payment, such as a tax or a fine