Random Puzzles 

Workings

Hint
Try removing the Y from ENERGY.

Answers
energy    -y = green oregano   -o = orange clearest  -e = scarlet weight    -g = white outlive   -u = violet embark    -k = amber calmer    -l = cream or -r = camel solemn    -s = lemon voiding   -v = indigo archery   -a = cherry

Workings

Hint
Does the number of adults and children matter?

Answer
3,672.

Reasoning
The actual number of adults and children doesn't matter.

For example, if all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

For example, if all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

For example, if there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

As you can see, we can change the numbers of adults and children, and it doesn't change the answer.

The reason for this lies in the fact that
   ¹⁄₂ adults x 12 sweets
and
   ³⁄₄ children x 8 sweets
both equal 6 sweets.

Workings

Hint
One of the cheeses is Cheddar.

Answer
Edam, Cheddar, Brie, Cheshire.

Workings

Hint
Circumference = 2 x Radius x π.

Answer
6.28 metres, a lot less than you might think!

If we call the radius of the Earth R, then the difference between the two circumferences is:

2 x π x (R + 1) − 2 x π x R
   = 2 x π metres
      = 6.28 metres.