pace vs step

pace and step both are nouns.

Word	Noun	Adjective	Verb	Adverb
pace	Yes	No	Yes	No
step	Yes	No	Yes	No

As nouns, step is a hypernym of pace; that is, step is a word with a broader meaning than pace:

As nouns, pace and step are synonyms defined as:

Other synonyms of pace include footstep, stride.

As verbs, pace and step are synonyms defined as:

pace (noun)	step (noun)
a step in walking or running	the act of changing location by raising the foot and setting it down
the relative speed of progress or change	any maneuver made as part of progress toward a goal
a unit of length equal to 3 feet; defined as 91.44 centimeters; originally taken to be the average length of a stride	a sequence of foot movements that make up a particular dance
the distance covered by a step	support consisting of a place to rest the foot while ascending or descending a stairway
the rate of moving (especially walking or running)	a solid block joined to the beams in which the heel of a ship's mast or capstan is fixed
the rate of some repeating event	a musical interval of two semitones
	a mark of a foot or shoe on a surface
	the sound of a step of someone walking
	the distance covered by a step
	a short distance
	relative position in a graded series

pace (verb)	step (verb)
measure (distances) by pacing	measure (distances) by pacing
regulate or set the pace of	move or proceed as if by steps into a new situation
walk with slow or fast paces	place (a ship's mast) in its step
go at a pace	shift or move by taking a step
	put down or press the foot, place the foot
	walk a short distance to a specified place or in a specified manner
	move with one's feet in a specific manner
	furnish with steps
	treat badly
	cause (a computer) to execute a single command