0809.4: Prof. Inscrutable


Puzzle #4: Professor Inscrutable (February 2009)

Professor Inscrutable had three students in his contemporary meta-metaphysics course: Amie, Matthew, and Sven. Each student had to write the same number of papers for the course. Professor Inscrutable graded on a curve, such that the best of the three papers got p points, the second-best got q points, and the third-best got r points, where p, q, and r are distinct integers such that p > q > r > 0. There were no ties, and all students handed in all the required papers.
At the end of the term, Amie had earned 22 points, and Matthew and Sven each had 9 points. Matthew had the best grade on the first paper.

Questions

1. How many papers were there?
2. What are the values of p, q, and r?
3. Who had the second-best grade on the second paper?

Solutions must contain explanations!