You may also like

problem icon

Jewellery Boxes

Can you find the value of the jewels?

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?


Age 14 to 16 Short Challenge Level:

Here are three populations:


An opportunity sample, a systematic sample and a random sample was taken from each.
Can you match the samples to the populations?

Opportunity samples (a convenient block of 9 squares was chosen):


Systematic samples (every 11th square was chosen to give a sample size of 9):


Random samples (9 squares were chosen at random):


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