What is the difference between an Exam, Test, and Quiz?

In the educational field

Test: A series of questions designed to determine the knowledge of the students.

Example:

The teacher gave us a test at the end of the lesson.

Exam: Is a more formal form of test that measures the knowledge of the students on a number of lessons.

Example:

She passed her final exam.

Quiz: Is the shortest, and most common evaluation.

Example:

There was a pop quiz in school today.