exercise vs drill

exercise and drill both are nouns.

Word	Noun	Adjective	Verb	Adverb
exercise	Yes	No	Yes	No
drill	Yes	No	Yes	No

As nouns, exercise and drill are synonyms defined as:

Other synonyms of exercise include practice, practice session, recitation.

As verbs, exercise and drill are synonyms defined as:

Other synonyms of exercise include practice, practise.

exercise (noun)	drill (noun)
the activity of exerting your muscles in various ways to keep fit	systematic training by multiple repetitions
a task performed or problem solved in order to develop skill or understanding	(military) the training of soldiers to march (as in ceremonial parades) or to perform the manual of arms
systematic training by multiple repetitions	similar to the mandrill but smaller and less brightly colored
the act of using	a tool with a sharp point and cutting edges for making holes in hard materials (usually rotating rapidly or by repeated blows)
an action, often used negatively and without consequences
(usually plural) a ceremony that involves processions and speeches

exercise (verb)	drill (verb)
do physical exercise	learn by repetition
give a workout to	teach by repetition
learn by repetition	train in the military, e.g., in the use of weapons
put to use	undergo military training or do military exercises
carry out or practice; as of jobs and professions	make a hole, especially with a pointed power or hand tool