Random Puzzles 

Workings

Hint
The country spans more than one word.

Answer
Spain.

After falling off the roof at work, Dale'S PAIN was relived by an ice compress.

Workings

Hint
Say each number, one digit at a time.

Answer
11131221141113122112.

Reasoning
Each term describes the previous term.

For example, 42 = one four, one two = 1412.

And, 1412 = one one, one four, one one, one two = 11141112.

Workings

Hint
Column 4's missing letter is L.

Answer

Across: DUCK, PLUM, TOES, BALE
Down  : DOME, PLUS, CUBE, TALK
Boxes : DUMP, LUCK, SOLE, BEAT

Other anagrams of these words are OK as long as they don't change the answer grid.

This answer uses less common words.

Across: DUCK, PLUS, TOME, BALE
Down  : DOSE, PLUM, CUBE, TALK
Boxes : SPUD, LUCK, MOLE, BEAT

Other anagrams of these words are OK as long as they don't change the answer grid.

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