1 Carefully is an adverb because it says something about a verb
2 New is an adjective because it says something about a noun.
Extremely is an adverb because it says something about an adverb.
Quickly is an adverb because it says something about a verb.
3 New is an adjective because it says something about a noun.
Wrongly is an adverb because it says something about a verb.
4 Incredibly is an adverb because it says something about an adjective.
Beautiful is an adjective because it is linked to a linking verb.
5 Most is an adverb because it says something about an adjective.
Popular is an adjective because it says something about a noun.