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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
Whatever the missing number is, the median and mode will still be 7. For the mean to be 7, the total must be 35. So the missing number is 9.

This problem is taken from the UKMT Mathematical Challenges.