The Qualifying Quiz is the centerpiece of the Mathcamp application.
It's a set of 5–10 problems, designed to be fun, challenging, and thought-provoking for you, and to give us a good read on how you think about math. We assume no background outside of the standard high-school curriculum, but the problems are anything but standard: you'll have to think hard to solve them. (And while all of your mathematical experience will be helpful, the Quiz is not designed like a contest, so you do not have to be a top scorer on competitions in order to solve these problems.) If the problems stick with you, nag you in the shower, and make you want to learn more, then that's a good indication that the classes at Mathcamp will be fun for you.