mark vs trace

mark and trace both are nouns.

Word	Noun	Adjective	Verb	Adverb
mark	Yes	No	Yes	No
trace	Yes	No	Yes	No

As nouns, trace is a hyponym of mark; that is, trace is a word with a more specific, narrower meaning than mark:

mark: a visible indication made on a surface
trace: a visible mark (as a footprint) left by the passage of person or animal or vehicle

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

mark (noun)	trace (noun)
something that exactly succeeds in achieving its goal	a drawing created by superimposing a semitransparent sheet of paper on the original image and copying on it the lines of the original image
an indication of damage	either of two lines that connect a horse's harness to a wagon or other vehicle or to a whiffletree
a marking that consists of lines that cross each other	an indication that something has been present
the impression created by doing something unusual or extraordinary that people notice and remember	a suggestion of some quality
a number or letter indicating quality (especially of a student's performance)	a visible mark (as a footprint) left by the passage of person or animal or vehicle
a written or printed symbol (as for punctuation)	a just detectable amount
a symbol of disgrace or infamy
a distinguishing symbol
a visible indication made on a surface
a reference point to shoot at
a perceptible indication of something not immediately apparent (as a visible clue that something has happened)
a person who is gullible and easy to take advantage of
formerly the basic unit of money in Germany

mark (verb)	trace (verb)
make or leave a mark on	follow, discover, or ascertain the course of development of something
insert punctuation marks into	read with difficulty
assign a grade or rank to, according to one's evaluation	make a mark or lines on a surface
celebrate by some ceremony or observation	copy by following the lines of the original drawing on a transparent sheet placed upon it; make a tracing of
put a check mark on or near or next to	pursue or chase relentlessly
be a distinctive feature, attribute, or trait; sometimes in a very positive sense	to go back over again
make underscoring marks	make one's course or travel along a path; travel or pass over, around, or along
remove from a list	discover traces of
designate as if by a mark
establish as the highest level or best performance
make small marks into the surface of
mark with a scar
attach a tag or label to
notice or perceive
to accuse or condemn or openly or formally or brand as disgraceful