Student or Learner
"We take exams but when we are answering questions from the question paper what do we say? I am writing or doing or taking the exam at the moment?
If we say "I am giving exams", then what would it mean?
"I am taking the exam" means you are engaged in answering the questions on that exam.
"I am giving the exam" means you are assigning, handing out, and/or supervising the exam for students to take. You are probably the teacher of that class, or perhaps an invigilator.