My idea to achieve your request, would be to use an attendance module, and link the restriction on the quiz to the attendance module. That way when the student comes into class, and the proctor checks ID, they can go mark them as attended in the attendance module, and then the Quiz will show up for them, otherwise the quiz is hidden.
Quiz
User-dependent locking and unlocking of quizzes
This discussion has been locked so you can no longer reply to it.