Random Puzzles 

Workings

Hint
The word starts with the letter D.

Answer
Difficult.

Workings

Hint
How many 2x2 squares are there?

Answer
There are 93 squares without a rook.

Reasoning
There are 60 squares of size 1x1.
There are 33 squares of size 2x2.

Giving a total of 60 + 33 = 93 squares.

Workings

Hint
Fill the 9-litre container first.

Answer
Here are the contents of the containers after each stage:

A = 9 litres, B = 4 litres
A     B
9     0     fill A
5     4     fill B from A (leaving 5 litres in A)
5     0     empty B
1     4     fill B from A (leaving 1 litre in A)
1     0     empty B
0     1     fill B from A
9     1     fill A
6     4     fill B from A (only 3 more litres fit in B)
6     0     empty B

This leaves 6 litres in container A.

Workings

Hint

Answer
6: the numbers denote the number of letters each month has starting with January, therefore August has 6 letters.