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
The sequence involves doubling in some way.

Answer
75.

Alternately double plus one, double minus one.

Workings

Hint
One of the answers is Yemen.

Answer
Germany.

Reasoning
aadnorr    = Andorra aehiiopt   = Ethiopia ceeegr     = Greece aaaacdgmrs = Madagascar anorwy     = Norway aaimnor    = Romania eemny      = Yemen
a + e + g + m + n + r + y = Germany.

Workings

Hints
The first words are A, The, A, The.

Answers
A bird in the hand is worth two in the bush. The early bird catches the worm. A rolling stone gathers no moss. The grass is always greener on the other side.