Ways to prevent user from reloading/refreshing page in quiz taking application

I am currently trying to figure out a strategy for not allowing a user to refresh/reload a page during the quiz. I know it's not a good idea, or even possible, to completely disable the reload feature in the browser, but are there any other ways to keep the user from being able to restart the exam by reloading the page?

I currently have the browser window not displaying the back button, and typing in the url is not allowed. I know I can disable the context menu from the right-click on the mouse, but keyboard shortcuts for reloading the page are still allowed. Any ideas on how I should approach this?

Thanks!