Random Puzzles 

Workings

Hint
You might need an old calculator.

Answer
Coil.

Reasoning
This is the only word that cannot be spelled using a calculator.

For example, if you enter 376616 into an old-fashioned calculator, and look at the number upside down, you can read GIGGLE.
376616  = giggle
7105    = soil
57738   = bells
378806  = gobble
4506    = gosh
5508    = boss
3704    = hole
5355378 = blesses
coil    = ????

Workings

Hint
Try working backwards.

Answer
£98.82.

Reasoning
At the end I was left with £32.94, which was half of my remaining money, so before buying the trousers I must have had £65.88.

Again, this was half of my money, so before buying the jacket I must have had £131.76 at the start.

As I now had £32.94 remaining, I must have spent £98.82.

Double-Checking
I started with £131.76, and I spent £65.88 on a new jacket, and then £32.94 on the trousers, a total spend of £98.82.

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.

Workings

Hint
Find two numbers that multiply to 187.

Answer
There were 17 children, with 11 sweets each.

Reasoning
If we number the clues:
each child had more than one sweet there were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:

   1 child, with 187 sweets each, which is not allowed by (2)

   11 children, with 17 sweets each, which is not allowed by (2)

   17 children, with 11 sweets each (*)

   187 children, with 1 sweet each, which is not allowed by (1)

Only one possible answer (*) isn't eliminated.