The difference between Quiz and Test

When used as nouns, quiz means an odd, puzzling or absurd person or thing, whereas test means a challenge, trial.

When used as verbs, quiz means to hoax, whereas test means to challenge.

check bellow for the other definitions of Quiz and Test

Quiz as a noun (dated):

An odd, puzzling or absurd person or thing.
Quiz as a noun:

A competition in the answering of questions.

Examples:

"We came second in the pub quiz."
Quiz as a noun (education):

A school examination of less importance, or of greater brevity, than others given in the same course.

Quiz as a verb (transitive, archaic):

To hoax; to chaff or mock with pretended seriousness of discourse; to make sport of, as by obscure questions.
Quiz as a verb (transitive, archaic):

To peer at; to eye suspiciously or mockingly.
Quiz as a verb (transitive):

To question closely, to interrogate.
Quiz as a verb (transitive):

To instruct by means of a quiz.
Quiz as a verb (transitive, obsolete, rare):

To play with a quiz.

Test as a noun:

A challenge, trial.
Test as a noun:

A cupel or cupelling hearth in which precious metals are melted for trial and refinement.
Test as a noun (academia):

An examination, given often during the academic term.
Test as a noun:

A session in which a product or piece of equipment is examined under everyday or extreme conditions to evaluate its durability, etc.
Test as a noun (cricket, normally “[[Test]]”):

A Test match.
Test as a noun (marine biology):

The external calciferous shell, or endoskeleton, of an echinoderm, e.g. sand dollars and sea urchins.
Test as a noun (botany):

Testa; seed coat.
Test as a noun (obsolete):

Judgment; distinction; discrimination.

Test as a verb:

To challenge.

Examples:

"Climbing the mountain tested our stamina."
Test as a verb:

To refine (gold, silver, etc.) in a test or cupel; to subject to cupellation.
Test as a verb:

To put to the proof; to prove the truth, genuineness, or quality of by experiment, or by some principle or standard; to try.

Examples:

"to test the soundness of a principle; to test the validity of an argument"
Test as a verb (academics):

To administer or assign an examination, often given during the academic term, to (somebody).
Test as a verb:

To place a product or piece of equipment under everyday and/or extreme conditions and examine it for its durability, etc.
Test as a verb (copulative):

To be shown to be by test.

Examples:

"He tested positive for cancer."
Test as a verb (chemistry):

To examine or try, as by the use of some reagent.

Examples:

"to test a solution by litmus paper"

Test as a verb (obsolete, transitive):

To attest (a document) legally, and date it.
Test as a verb (obsolete, intransitive):

To make a testament, or will.