Random Puzzles 

Workings

Hint
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
One of the answers is Yemen.

Answer
Germany.

Reasoning
aadnorr    = Andorra aehiiopt   = Ethiopia ceeegr     = Greece aaaacdgmrs = Madagascar anorwy     = Norway aaimnor    = Romania eemny      = Yemen
a + e + g + m + n + r + y = Germany.

Workings

Hint
You don't need to use a calculator.

Answer
Cube root of 2.

Reasoning
We could use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.

But, if you've not got your calculator handy …

We have:

   10^1/10 or 2^1/3

Raise each to the power of 30 (since 10 x 3 = 30) to give:

   (10^1/10)³⁰ or (2^1/3)³⁰

   10^{1/10 x 30} or 2^{1/3 x 30}

   10³ or 2¹⁰

   1000 or 1024

Therefore, the cube root of 2 is larger.

Workings

Hint
The missing word ends with the letter D.

Answer
The missing word is BREAD.