value vs score

value and score both are nouns.

Word	Noun	Adjective	Verb	Adverb
value	Yes	No	Yes	No
score	Yes	No	Yes	No

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

value: evaluate or estimate the nature, quality, ability, extent, or significance of
score: assign a grade or rank to, according to one's evaluation

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

value (noun)	score (noun)
the quality (positive or negative) that renders something desirable or valuable	the act of scoring in a game or sport
relative darkness or lightness of a color	a seduction culminating in sexual intercourse
a numerical quantity measured or assigned or computed	a number or letter indicating quality (especially of a student's performance)
an ideal accepted by some individual or group	the facts about an actual situation
the amount (of money or goods or services) that is considered to be a fair equivalent for something else	a written form of a musical composition; parts for different instruments appear on separate staves on large pages
(music) the relative duration of a musical note	a resentment strong enough to justify retaliation
	a set of twenty members
	grounds
	a number that expresses the accomplishment of a team or an individual in a game or contest
	a slight surface cut (especially a notch that is made to keep a tally)
	an amount due (as at a restaurant or bar)

value (verb)	score (verb)
evaluate or estimate the nature, quality, ability, extent, or significance of	assign a grade or rank to, according to one's evaluation
regard highly; think much of	make underscoring marks
estimate the value of	gain points in a game
fix or determine the value of; assign a value to	get a certain number or letter indicating quality or performance
hold dear	make small marks into the surface of
	induce to have sex
	write a musical score for