I really like the concept of answering trivia questions while running for your life!
Since your were able to map both control schemes (question answering and platforming) to separate hands (very nice job there), why not have players do both simultaneously instead of splitting it into distinct phases? I think the split focus of trying to answer as many trivia questions correctly as possible while avoiding obstacles has the potential to be some really frantic fun! Something to try out maybe.
Very nice game, funny set up and lines too. Great job!