Random Puzzles 

Workings

Hint
It doesn't actually matter how many men or women there were.

Answer
17,760 dollars.

If there were M men, then there were (3552 - M) women.

So one ninth of the men each received 45 dollars and one twelve of the women each received 60 dollars. So the total received was:
= 45 x 1 x M  +  60 x  1 x (3552 - M)
       —              ——
       9              12

Simplify the two fractions by dividing the 45 by 9, and the 60 by 12 respectively.

= 5 x M + 5 x (3552 - M)

= 5M + 17760 - 5M

= 17760

Workings

Hint
Start on any square, and see how far you can get.

Answer
Start from the 1U that is on the 3^rd row down and the 7^th column across.

Workings

Hint
Look at the number of sides of each of the shapes.

Answer
Square.

Reasoning
If we add the shape's sides, the total increases by 8, then 10, then 12, etc (2 more each time).
   triangle (3) + pentagon (5) + square (4) = 12

   square   (4) + hexagon (6) + hexagon (6) + square (4) = 20

   pentagon (5) + hexagon (6) + hexagon (6) + hexagon (6) + square (4) + triangle (3) = 30

Therefore:
   hexagon  (6) + octagon (8) + octagon (8) + octagon (8) + octagon (8) + square (4) = 42

Alternative Reasoning
Square the first shape's sides, and the remaining shapes add up to this number.
   triangle (3 x 3) = pentagon (5) + square (4)

   square   (4 x 4) = hexagon (6) + hexagon (6) + square (4)

   pentagon (5 x 5) = hexagon (6) + hexagon (6) + hexagon (6) + square (4) + triangle (3)

Therefore:
   hexagon  (6 x 6) = octagon (8) + octagon (8) + octagon (8) + octagon (8) + square (4)

Workings

Hint
One of the winners is called Jack.

Answer
DEEFIJOORST      = JODIE FOSTER
EEELMPRRSTY      = MERYL STREEP
ABEIJLORRSTU     = JULIA ROBERTS
AABEEHHIKNNPRRTU = KATHARINE HEPBURN
CEEEGGLNOOORY    = GEORGE CLOONEY
ACCHIJKLNNOOS    = JACK NICHOLSON
BDEEINOORRRT     = ROBERT DE NIRO
AACCEEHIILMN     = MICHAEL CAINE