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

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One or Both

Problem 1 was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Can you work out how many pupils took the exam?

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Takeaway Time

Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

Clubs

Age 11 to 14 Short Challenge Level:

At Kaynem Daly High School, the Maths Club has 15 members and the Science Club has 12.

If a total of 13 students belong to only one of the two clubs, how many belong to both clubs?


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