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St John's College, Cambridge, CB2 1TP


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n is a positive integer such that 2n has 28 positive factors and 3n has 30 positive factors. How many factors does 6n have?

We paint 4 corners of a cube red and the other 4 corners blue. How many cubes can we get this way?

How many times a day do the hands of a clock overlap each other?

What is the maximum value of change you can have in your pocket if you cannot pay £2 exactly?

Ethel made a list of all the whole numbers between 1 to 100. How many times did she write digit 2?

Check out the questions

from the first Game here!

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