Random Puzzles 

Workings

Hint
Only the first letters are important.

Answer
3,000 miles.

Take the alphabetic position of the first letter, halve, and then multiply by 1000.

You could also multiply by 500 instead.

Double-Checking
F is the 6^th letter of the alphabet, halving gives 3, multiplying by 1000 gives 6000.

Workings

Hint
How many toys can one kitten catch in twelve minutes?

Answer
36 toys.

Reasoning
Four kittens can catch four toys in four minutes,

so, one kitten can catch one toy in four minutes,

so, one kitten can catch three toys in twelve minutes,

so, twelve kittens can catch 36 toys in twelve minutes.

Workings

Hint
The first letters of the words are: C, S, P, B. One of the vegetables is another word for rutabaga.

Answer
Carrot, swede, pea, bean.

Swede is another word for rutabaga.

Workings

Hint
What must the middle midday temperature be? Remember that the temperatures are in degrees Celsius.

Answer
The midday temperatures were -6, -2, 2, 6, 10 °C.

Each day the midday temperature increased by a steady 4 degrees.

Reasoning
As the temperature rose steadily each day, we know that the middle temperature (Day 3) was 2 degrees (because the average was 2 degrees).

Since Day 3 was 2 degrees, and there were two negative temperatures, we know that the daily increase must have been at least 3 degrees (otherwise Day 2 would not have been negative).

If we check a daily increase of 3 degrees, the sequence would be -4, -1, 2, 5, 8, but this doesn't work as the product is less than 500.

If we check a daily increase of 4 degrees, the sequence would be -6, -2, 2, 6, 10, which does match all of the requirements.

If we check a daily increase of 5 degrees, the sequence would be -8, -3, 2, 7, 12, but this doesn't work as the product is more than 2000.

Any larger increase makes the product even larger, so we can stop checking.

So the only possible answer is -6, -2, 2, 6, 10.