pass with flying colors vs ace

pass with flying colors is not a noun while ace is a noun.

Word	Noun	Adjective	Verb	Adverb
pass with flying colors	No	No	Yes	No
ace	Yes	Yes	Yes	No

As verbs, pass with flying colors and ace are synonyms defined as:

Other synonyms of pass with flying colors include breeze through, nail, sail through, sweep through.

pass with flying colors (noun)	ace (noun)
	a serve that the receiver is unable to reach
	one of four playing cards in a deck having a single pip on its face
	someone who is dazzlingly skilled in any field
	the smallest whole number or a numeral representing this number

pass with flying colors (adjective)	ace (adjective)
	of the highest quality