Random Puzzles 

Workings

Hint
How large would the smaller cube be?

Answer
1,352 small cubes.

Reasoning
The original large cube with 16 small cubes along each edge would require 16 x 16 x 16 = 4,096 small cubes.

Removing the outside layer would leave a large cube now with 14 small cubes along each edge (which requires 14 x 14 x 14 = 2,744 small cubes).

It isn't 15 small cubes because you're removing both ends of an edge.

Therefore, you have removed 4,096 − 2,744 = 1,352 small cubes.

Workings

Hint
A very common sequence is hidden here.

Answer
Badger.

Reasoning
The length of the words is the same length as the months of the year.
   gorilla  = 7 = January
   hedgehog = 8 = February
   camel    = 5 = March
   mouse    = 5 = April
   fox      = 3 = May
   bear     = 4 = June
   mole     = 4 = July
   badger   = 6 = August

Workings

Hint
Add 'one Z', literally.

Answer
Lozenge.

Reasoning
'one Z' + LEG = ONE Z LEG = ONEZLEG > LOZENGE.

Workings

Hint
The number is less than 20.

Answer
8.

Reasoning
We need a number (N) such that:

2 x N = 14 +  N
             ———
              4

Multiply throughout by 4 to give:

8 x N = 56 + N

So:

7 x N = 56

So N = 8.

Double-Checking
Its double is 16.

Its quarter is 2.

So its double is fourteen more than its quarter.