Is there a way to do a quiz so that the participant sees their score when they are finished?

Yes, you could use the Quiz app that will help you to set the correct answers and display the result on the thank you page, you could also email the results to your submitter and you will also receive results via email. 

Here's the link to our app: https://apps.jotform.com/app/quiz_form 

Related guide: https://www.jotform.com/help/289-Turn-Your-Form-into-a-Quiz-or-Exam- 

Hope this helps.