A Statement of Purpose consisting of about 200 to 300 words (as an uploaded PDF) detailing your reasons for wishing to enter graduate school in mathematics, your plans for the future, and any other information about your educational and professional objectives that may be relevant to your application.
Q: My Statement of Purpose is longer than the 250-to-500 word limit indicated in the application packet. Will I be penalized for this?
No. The 250-to-500 word limit is meant to describe general parameters, not a strict word count. Naturally, the quality of your statement is far more important than the quantity of words you use.