Averages

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May the best person win

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
problem
Kate's date

Age

11 to 14

Challenge level

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

Age

11 to 14

Challenge level

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

Age

14 to 16

Challenge level

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

Age

11 to 14

Challenge level

What is the average weight of five ballet dancers and ten rugby players?
problem
Partial means

Age

14 to 16

Challenge level

From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?
problem
Better spelling

Age

11 to 14

Challenge level

Weekly Problem 12 - 2010
Can Emily increase her average test score to more than $80$%? Find out how many more tests she must take to do so.
problem
Seven dwarfs

Age

11 to 14

Challenge level

The Seven Dwarfs have seven different birthdays. How old can they be?
problem
Tyneside average speed

Age

14 to 16

Challenge level

Can you work out the average speed of the van?
problem
Average surroundings

Age

14 to 16

Challenge level

Can you work out Ali's age based on the diagram?