numerate vs sum

numerate is not a noun while sum is a noun.

Word	Noun	Adjective	Verb	Adverb
numerate	No	Yes	Yes	No
sum	Yes	No	Yes	No

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

Other hyponyms of numerate include recount, miscount, census, add, add together, add up, sum up, summate, tally, tot, tot up, total, tote up.

numerate (noun)	sum (noun)
	the whole amount
	the choicest or most essential or most vital part of some idea or experience
	a quantity obtained by the addition of a group of numbers
	the final aggregate
	a set containing all and only the members of two or more given sets
	a quantity of money

numerate (adjective)	sum (adjective)
able to understand and use numbers

numerate (verb)	sum (verb)
read out loud as words written numbers	determine the sum of
determine the number or amount of	be a summary of