We did the submitted paper last cycle as part of the Williams pre-read. She turned in a graded paper from a social sciences seminar class. I would reiterate (a) talking with coach if your child doesn’t think they have a good paper to submit, and (b) recognizing that the paper for the pre-read is the same as the optional paper that is a part of the actual application so you can use the description from the application as a guide for the pre-read paper.