You may also like

problem icon

Bat Wings

Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?

problem icon

Kate's Date

When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

problem icon

Balancing the Books

How many visitors does a tourist attraction need next week in order to break even?

Searching for Mean(ing)

Age 11 to 14 Challenge Level:

Imagine you have a large supply of 3kg and 8kg weights.



Two 3kg weights and three 8kg weights have a mean weight of 6kg.


Can you find other combinations of 3kg and 8kg weights whose mean weight is a whole number of kg?

What's the smallest?
What's the largest?

Can you make all the whole numbers in between?

What if you have a different pair of weights (for example 2kg and 7kg)?
Which whole numbers is it possible to have as the mean weight now?

Try other different pairs of weights.

What do you notice about your results?
Can you use what you notice to find the combination of 17kg and 57kg weights that have a mean weight of 44kg......of 52kg.......of 21kg.....?

Explain an efficient way of doing this.
Can you explain why your method works?
 
Click here for a poster of this problem.