RESPONSES to PUZZLE #4:

 

              I see most found the pattern for the 3 by 3:       1 + 4 + 9 = 14,

              Also recall 4 = 2x2, 9 = 3x3?

 

              So for the 4 by 4 you get:        1 + 4 + 9 + ? = ??

and so on and so on ???

 

              What did you get for the 5 by 5? – and the 10 by 10??

 

              If you are still working on this one, do not give up!