Random Puzzles 

Workings

Hint
One possibility starts with the word BEE.

Answer
Choose from: beekeeper, beekeepers, beekeeping, freebee, freebees, freewheel, freewheeled, freewheeling, freewheels, peewee, peewees, squeegee, squeegeed, squeegeeing, squeegees, teepee, teepees.

Workings

Hint
A beetle has six legs, a spider has eight legs, and a mouse has four legs.

Answer
102 animals, 34 of each.

Reasoning
As there are the same number of each animal, for every beetle, spider, and mouse counted, there are a total of 18 legs.

612 ÷ 18 = 34 of each animal.

Which gives a total of 34 x 3 = 102 animals.

Workings

Hint
3 raised to the 5^th power is 3 x 3 x 3 x 3 x 3.

Answer
3 raised to 5^th power.

Reasoning
3 raised to the 5^th power = 3 ^ 5 = 3 x 3 x 3 x 3 x 3 = 243

and

5 raised to the 3^rd power = 5 ^ 3 = 5 x 5 x 5 = 125.

Workings

Hint
The words are all colours.

Answer
Orange, green, turquoise, scarlet.