Random Puzzles 

Workings

Hint
Try removing the spaces between the numbers.

Answer
48 and 11.

Reasoning
These are the squares of numbers without the correct spacing.

   1 4 9 16 25 36 49 64 81 100

with no spaces becomes:

   149162536496481100

broken into blocks of two:

   14 91 62 53 64 96 48 11 00

So the next two in the sequence are 48 and 11.

Workings

Hint
How many 2 x 2 squares are there?

Answer
There are 93 squares without a rook.

Reasoning
There are 60 squares of size 1 x 1.
There are 33 squares of size 2 x 2.

Giving a total of 60 + 33 = 93 squares.

Workings

Hint
The answer isn't 9!

Answer
One big one!

Workings

Hint
Where did Reed come in game 1?

Answer
Name     #1  #2
Kelly     1   2
Reed      2   1
Jamie     3   4
Sam       4   3

Reasoning
In Game1, (Clue1) Reed beat Jamie, and (Clue3) Jamie beat Sam.

   Game1: Reed, Jamie, Sam

Since (Clue3) Reed won Game2 , and (Clue4) no player got the same placing twice, Reed can't have won Game1, therefore Kelly did.

   Game1: Kelly, Reed, Jamie, Sam

In Game2:
   Reed won (Clue3).
   Sam can't have come last again (Clue4).
   Since Kelly beat Sam (Clue1), Sam can only have come third.

   Game2: Reed, Kelly, Sam, Jamie