Combination
351015 of Berend Jan van der Zwaag
3 
Does it fit together with two copies of another pentomino in a 3x5 rectangle? 
5 
Does it fit together with two copies of another pentomino in a 3x5 rectangle? 
10 
Does it contain two non8touching dominoes? (Touching at the corners is not allowed.) 
15

Can two copies construct a pointsymmetric decamino with a fully enclosed 1x1 hole? 
F  I  L  N  P  T  U  V  W  X  Y  Z  
3 
N  Y  Y  N  N  Y  N  Y  N  Y  Y  Y 
5 
N  Y  Y  Y  Y  Y  N  Y  N  N  N  N 
10 
N  Y  Y  N  N  N  Y  N  N  N  N  Y 
15 
Y  N  Y  Y  N  Y  N  N  N  N  Y  Y 
Solution 3 
Solution 5 
Solution 10 
Solution 15 