Why isn't "sprawdzian" correct instead of "egzamin"?
"Exam" = "egzamin" should rather be the final test, while "sprawdzian" is just a test, probably one of many during the semester.
Was it really necessary to qualify one exam? "Dwa wypracowania i egzamin"
That would be "two essays and an exam" not "two essays and one exam"
Hmmm... okay, added.