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Jewellery Boxes

Can you find the value of the jewels?

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Average Discovery

Find the missing number if the mean, median and mode are all the same.

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Algebraic Average

The mean of three numbers x, y and z is x. What is the mean of y and z?

Possible Range

Age 14 to 16 Short Challenge Level:


The median of a set of five positive integers, is one more than the mode, and one less than the mean.

What is the largest possible value of the range of the five integers?




This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.