You may also like

problem icon

Average Discovery

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

problem icon

Algebraic Average

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

problem icon

For Richer for Poorer

Charlie has moved between countries and the average income of both has increased. How can this be so?

Jewellery Boxes

Age 14 to 16 Short Challenge Level:


Two boxes, P and Q, each contain 3 jewels.
When a jewel worth £5000 is transferred from P to Q, the average value of the jewels in each box increases by £1000.

What is the total value of all six jewels?



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