spoken exam/speaking exam

Solution 1:

Typically this would be an "oral" exam.

The oral exam (also oral test or viva voce) is a practice in many schools and disciplines, where an examiner poses questions to the student in spoken form. The student has to answer the question in such a way as to demonstrate sufficient knowledge of the subject in order to pass the exam.

http://en.wikipedia.org/wiki/Oral_exam

However, "speaking exam" appears to be gaining momentum.

Solution 2:

I don't think either "spoken exam" or "speaking exam" is a commonly-used term.

If I heard or read "speaking exam", I would understand this to mean a test of your ability to speak -- perhaps to speak a new language you are learning, or to have good poise and diction when speaking in general, or maybe testing how well you are overcoming a speech impediment like stuttering.

I'd assume "spoken exam" meant a test where the questions, and probably the answers, are spoken rather than written. But it wouldn't necessarily be a test of your ability to speak well. The conventional term for this is "oral exam" rather than "spoken exam". Sometimes an oral exam is given when the person being tested does not know how to read and write, or is unable to read and write because he is blind or some such. Oral exams are also used to test someone's ability to "think on his feet", that is, to see if he can give answers without having to sit and think about it for a while. And it is very difficult to cheat when taking an oral exam.