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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?

Marathon Mission

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
Minnie's average speed this year is ${5\over4}$ of last year's value. Hence her time this year will be ${4\over5}$, i.e. $80\%$ of last year's time.

This problem is taken from the UKMT Mathematical Challenges.