Random Puzzles 

Workings

Hint
This is nothing to do with pets.

Answer
Goldfish.

All of the others are mammals. If you suggested Cow I will let you have half a mark!

Workings

Hint
deny + e = needy.

Answers
deny + e = needy mail + c = claim exit + s = exist gosh + t = ghost city + h = itchy newt + i = twine type + m = empty
The letters ECSTHIM are an anagram of CHEMIST.

Workings

Hint
It's neither LEFT not RIGHT.

Answer
The outside!

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.