Random Puzzles 

Workings

Hint
The answer is the easiest link you can think of.

Answer
Cold.

The opposite of hot.

Workings

Hint
A tricky base 8 question.

Answer
61.

Each term is a square expressed in base eight, 7 2=49 = 61 in base 8.

Workings

Hint
Pages 1-9 are one digit each.

Answer
There are 65 pages and the number 9 appears six times.

Reasoning
The 65 pages are (with the six 9's highlighted):

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65.

If we remove the spaces, we get:

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465. Which is 121 digits.

Workings

Hint
How many mice does one cat catch?

Answer
Six mice.

  1.5 cats catch 1.5 mice in 1.5 days.

so

  1 cat catches 1 mouse in 1.5 days.

  1 cat catches 2 mice in 3 days.

Therefore

  3 cats catch 6 mice in 3 days.