It would form a gaussian distribution if you pick the questions carefully enough.

If you rank-order scores and fit to the distribution after the fact, the questions are nearly irrelevant, as long as you have a mix of easy, medium and hard questions.

> It would form a gaussian distribution if you pick the questions carefully enough.

Why would that be the case? The Central Limit Theorem does not apply here, because the observations (questions) are correlated with each other.