Random Puzzles 

Workings

Hint
The top number is 186.

Answer
186 x 39 = 7254.

Workings

Hint
One word starts with T and the other with W.

Answer
Tower and wrote.

While captive in the tower, James wrote an entire book.

Workings

Hint
How many squares of size 1 x 1 are there?

Answer
There are 116 squares without a rook.

Reasoning
There are 61 squares of size 1 x 1.
There are 37 squares of size 2 x 2.
There are 15 squares of size 3 x 3.
There are  3 squares of size 4 x 4.

Giving a total of 61 + 37 + 15 + 3 = 116 squares.

Workings

Hint
Look at the start of each word.

Answer
augment.

The first three letters are the same as the first three letters of the months in order.