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Inclusion Exclusion

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

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Takeaway Time

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

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How many dry days did Aisha have on her holiday?

One or Both

Age 11 to 14 Short Challenge Level:

A maths exam contained only two questions. Every pupil correctly answered at least one of the questions. 

Question one was correctly answered by 70% of the pupils. Question two was correctly answered by 60% of them.

Nine pupils correctly answered both questions.

How many pupils took the exam?

You can find more short problems, arranged by curriculum topic, in our short problems collection.