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Balancing the Books

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

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Grandpa's Rock Cakes

Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?

Bat Wings

Age 11 to 14 Short Challenge Level:
Here is a table of information about the wingspan of bats. Unfortunately, two entries are missing from the table.

Student Data set (wingspans in cm) Mean (cm)
A 13 - 16 12 10 15 13
B 13 16 - 13      

Student A collected 6 measurements and worked out that their mean was 13cm.
Student B collected 4 measurements.
The overall mean of the combined data was 13.4cm.

Can you work out what the two missing values are?


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