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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?

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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

Weekly Problem 34 - 2012
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?

Average Discovery

Stage: 3 Short Challenge Level: Challenge Level:1
See all short problems arranged by curriculum topic in the short problems collection
The mean, median and mode of five numbers are all the same. If four of the numbers are 7, 7, 5 and 7, what must the fifth number be?

This problem is taken from the UKMT Mathematical Challenges.