OOPS! Today I am supposed to tell my parents my grades on my last five math tests, but I forgot to bring the list home. I do remember these facts about my scores:

I had one perfect test with a score of 100

The mean,median, and mode for my set of test scores turned out to be the same: 83.
The range of my scores is 42.

What are my five test scores? (Please help me and explain how you got the answer)