Random Puzzles 

Workings

Hints
The first letters of the words are: M, C, C, S, V, G, A, T, S, T, S, F, S, D, O.

Answers
---rix = matrix ---osy = choosy ---few = curfew ---oze = snooze ---uum = vacuum ---wth = growth ---nda = agenda ---nis = tennis ---tem = system ---pod = tripod ---reo = stereo ---hom = fathom ---gan = slogan ---amt = dreamt ---gen = oxygen

Workings

Hint
The answer is a whole number less than 10.

Answer
3.

Reasoning
We can multiply throughout by 12,
    X     X     X     X
    -  -  -  +  -  =  -
    X     2     4     12

to give:

   12 − 6X + 3X = X

        12 − 3X = X

             12 = 4X

              3 = X

As required.

Double-Checking
    3     3     3     3
    -  -  -  +  -  =  -
    3     2     4     12

    1 − 1.5 + 0.75 = 0.25

              0.25 = 0.25, which confirms that 3 is correct.

Workings

Hint
The words are all colours.

Answer
Orange, green, turquoise, scarlet.

Workings

Hint
The first missing name is Adam.

Answer