numeracy vs skill

numeracy and skill both are nouns.

Word	Noun	Adjective	Verb	Adverb
numeracy	Yes	No	No	No
skill	Yes	No	No	No

As nouns, skill is a hypernym of numeracy; that is, skill is a word with a broader meaning than numeracy:

Other hypernyms of numeracy include accomplishment, acquirement, acquisition, attainment.

numeracy (noun)	skill (noun)
skill with numbers and mathematics	ability to produce solutions in some problem domain
	an ability that has been acquired by training