Random Puzzles 

Workings

Hint
One of the words is rubbish.

Answers
Rainbow, referee, revenge, roasted, rubbish, running, retreat, restore.

Workings

Hint

Answer
293 031: these are the numbers 20, 21, 22, 23 etc grouped into three digits.

Workings

Hint
A little bit of algebra might help.

Answer
There are four boys and three girls.

If we call the number of boys B, and girls G.

From the first statement (we take one off as Billy is a boy):

              B - 1 = G

and similarly:

        2 x (G - 1) = B

Substitute G from the first equation into the second equation to give:

  2 x ((B - 1) - 1) = B

    2 x (B - 1) - 2 = B

      2 x B - 2 - 2 = B

          2 x B - 4 = B

                  B = 4

which means that B = 4 and hence G = 3.

Workings

Hint
The first letters of the words are: E, S, P, C, I, A, P, A.

Answers
-----yee = employee -----egy = strategy -----igm = paradigm -----lse = convulse -----com = intercom -----bet = alphabet -----lel = parallel -----dee = attendee