Students often want to navigate to a specifc question in a test to check their answer. As they have entered something into the answer box the question is marked as completed and so there is no way of knowing which questions are genuinely completed and which aren't.
Having a preview of the question when the user hovers over the number in the "Question Complettion Status" menu would allow students to identify specifc questions based on the question text. This would be particularly useful when dealing with tests with large number of questions.
Here is a quick mockup to further illustrate.
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