Random Puzzles 

Workings

Hint
How many 2 x 2 squares are there?

Answer
There are 128 squares without a rook.

Reasoning
There are 62 squares of size 1 x 1.
There are 41 squares of size 2 x 2.
There are 18 squares of size 3 x 3.
There are  6 squares of size 4 x 4.
There is   1 square  of size 5 x 5.

Giving a total of 62 + 41 + 18 + 6 + 1 = 128 squares.

Workings

Hint
The first word begins with the letter J.

Answers
--ust = joust (JO) -ue-n = queen (QE) o-o-e = ozone (ZN) --and = brand (BR) -a-er = water (WT) id-o- = idiom (IM) -uc-y = lucky (LK) e-i-t = exist (XS) hea-- = heavy (VY) tou-- = tough (GH) -rie- = fried (FD) -ry-t = crypt (CP) h-m-n = human (UA)
Alternative Answers
Joust, queen, ozone, brand, wafer, idiom, lucky, exist, heavy, tough, tried, crypt, human.

Joust, queen, ozone, bland, wafer, idiot, mucky, exist, heavy, tough, drier, crypt, human.

Can you find another?

Workings

Hint
Neptune is written diagonally.

Answer
 

Workings

Hint
Does ONE work, does TWO work? How many E's are there already?

Answer
Twelve.

"Cleverly, there are exactly twelve E's in this sentence."