You may also like

problem icon

Mediant Madness

Kyle and his teacher disagree about his test score - who is right?

problem icon

Tyneside Average Speed

Weekly Problem 12 - 2006
A van travels from Newcastle to South Shields at 30mph and returns at 40mph. What is its average speed?

problem icon

For Richer for Poorer

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

Maximum Mean

Age 14 to 16 Short Challenge Level:

The mode of 9 numbers between 0 and 100 is 12, the median is 41, and the range is 75.

What is the largest possible value of the mean?

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