Random Puzzles 

Workings

Hint
There are no larger squares than size 4 x 4.

Answer
There are 110 squares without a rook.

Reasoning
There are 60 squares of size 1 x 1.
There are 35 squares of size 2 x 2.
There are 12 squares of size 3 x 3.
There are  3 squares of size 4 x 4.

Giving a total of 60 + 35 + 12 + 3 = 110 squares.

Workings

Hint
There are no missing letters.

Answer
All good things come to those who wait.

The first and last letters of each word have been exchanged.

Workings

Hint
Where else might you see arrows and letters together?

Answers
See, new, sense, sew, ewe.

The arrows are pointing in the compass directions N, E, S, and W.

Workings

Hint
Adding just one should be enough.

Answer
Holes!