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Calendar Capers

Choose any three by three square of dates on a calendar page...

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Card Trick 2

Can you explain how this card trick works?

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Happy Numbers

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Make some conjectures about what happens in general.

Monetary Difference

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
Al and Bertie have £55 between then, so Chris and Di have £150-£55=£95 between them. As Al and Chris have £65 between them, the difference between the amounts Al and Di have is £95-£65, so £30.

This problem is taken from the UKMT Mathematical Challenges.