Random Puzzles 

Workings

Hints
The first letters of the words are: E, R, I, A, M.

Answers
ent + ertainm + ent = entertainment red + iscove  + red = rediscovered ing + row     + ing = ingrowing ant + ioxid   + ant = antioxidant mic + rocos   + mic = microcosmic

Workings

Hint
Look at the first letter of each month.

Answer
199.

Take the first letter of the month, and find its position in the alphabet: S = 19.

Then take the number of letters in the month: September = 9.
January    10 7
February   6 8
March      13 5
April      1 5
May        13 3
June       10 4
July       10 4
August     1 6
September  19 9

Workings

Hint
Try rewriting each statement so that they are all 'finished before' statements instead.

Answer
Bailey won …

… then Dale, Alex, Chris, and Emery.

Reasoning
By placing the person who finished higher to the left, we have:

Dale finished before Alex (Dale > Alex) Emery finished after Bailey (Bailey > Emery) Alex finished before Chris (Alex > Chris) Emery finished after Dale (Dale > Emery) Bailey finished before Alex (Bailey > Alex) Dale finished after Bailey (Bailey > Dale) Chris finished before Emery (Chris > Emery)
From (1) and (3):

   Dale > Alex > Chris

Adding (7):

   Dale > Alex > Chris > Emery

Adding (6):

   Bailey > Dale > Alex > Chris > Emery

Which is the final placing for all the players, and can be double-checked with the remaining clues.

Workings

Hint
The missing word is two letters long.

Answer
He.

To give:
..ir = heir
..ad = head
..lm = helm
..ed = heed
..lp = help