### Inclusion Exclusion

How many integers between 1 and 1200 are NOT multiples of any of the numbers 2, 3 or 5?

### Clubs

How many students are in the maths club and the science club?

# Rain

##### Age 11 to 14 ShortChallenge Level

On Aisha's holiday, $11$ days had some rain.

A morning rain was always followed by a clear afternoon.
An afternoon rain was always preceded by a clear morning.

A total of $9$ mornings and $12$ afternoons were clear.

How many days had no rain at all?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.