Random Puzzles 

Workings

Hint
Do the words make any sense when read another way?

Answer
Ram.

These are the first three letters of the months in reverse order.

Therefore, RAM are the first three letters of March.

Workings

Hint
The answer involves a square root.

Answer
4.

The middle of each triangle contains the square root of the sum of the three surrounding numbers.

Workings

Hint
Start by counting the letters you're given.

Answers
This sentence contains sixty-seven letters, one hyphen, two commas and a full stop. Interestingly, this sentence contains eighty-nine letters, one hyphen, three commas and the final full stop. Finally, this sentence contains seventy-nine letters, one hyphen, three commas and one full stop.

Workings

Hint
The answer isn't very large at all.

Answer
There are four boys and six girls in the family.

If there were B boys, and G girls we know that Billy has twice as many sisters as brothers, so 2 x (b − 1) = g.

And his sister, Frankie, has one more sister than she has brothers, so g − 1 = b + 1.
    2(b − 1) = g       [1]
       g − 1 = b + 1   [2]

Using [1] in [2] gives:

2(b − 1) − 1 = b + 1

Expanding the bracket gives:

  2b − 2 − 1 = b + 1

Simplifying the left hand side gives:

     2b − 3  = b + 1

Add 3 to each side gives:

          2b = b + 4

Subtract b from both sides gives:

           b = 4

Using b = 4 in [1] gives:

    2(4 − 1) = g

           6 = g