Ten Pentominos in Two Squares

 _ _ _ _ _
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_| 
 _ _ _ _ _
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_| 
  1. There are 12 different Pentominos. Choose ten different pentominos and fit them into two 5x5 squares. Feel free to copy the text diagram to submit your solutions.
  2. There will be two pieces remaining. Is there a way to solve problem 1 using those two pieces (leaving out two other pieces)?

Source: Original.


Solution
Mail to Ken