Random Puzzles 

Workings

Hint
The first missing letter is S.

Answer
A stitch in time saves nine.

Workings

Hint
The word begins with the letter A.

Answer
Arm.

Double-Checking
swarm army alarm farm warm

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
There are 3 feet in a yard, 1760 yards in a mile, and 8 furlongs in a mile.

Answer
Square feet in half a square mile.

Reasoning
There are 3 feet in a yard, 1760 yards in a mile, and 8 furlongs in a mile.

A mile is 1760 x 3 = 5280 feet in a mile.

A square mile is 5280 x 5280 = 27878400 square feet.

Therefore, half a square mile = 13,939,200 square feet.

A furlong is 1760 ÷ 8 = 220 yards.

Therefore, a cubic furlong is 220 x 220 x 220 = 10,648,000 cubic yards.