Random Puzzles 

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.

Workings

Hint
Does the number of adults and children matter?

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
Start by imaging a sign saying 'BrainBashers Puzzles And Illusions'.

Answer
I commissioned an artist to paint a sign for BrainBashers that said 'BrainBashers Puzzles And Illusions', however, they made a terrible mistake.

The gaps between 'Puzzles' and 'And', and 'And' and 'Illusions' weren't the same, so the sign seemed oddly out of balance.

Workings

Hint

Answer
Your name.