Random Puzzles 

Workings

Hints
The first letters of the words are: T, C, C, G, T, B, S, B, D, G.

Answers
----rem = theorem ----oct = concoct ----pso = calypso ----dma = grandma ----edo = torpedo ----rre = bizarre ----sfy = satisfy ----ott = boycott ----hma = drachma ----dpa = grandpa

Workings

Hint
The code has just four letters, A, B, C, and D. Each letter encodes 5 different letters.

Answer
I think, therefore I am.

Reasoning
A represents a, b, c, d, and e.
B represents f, g, h, i, and j.
C represents k, l, m, n, and o.
D represents p, q, r, s, and t.
E represents u, v, w, x, and y.

Workings

Hint
The seventh word is WORTH.

Answer
A bird in the hand is worth two in the bush.

Workings

Hint
It depends on the length of the word.

Answer
2 buttons.

The number of buttons is 10, minus the length of the word.