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

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Adding All Nine

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What happens to the perimeter of triangle ABC as the two smaller circles change size and roll around inside the bigger circle?

Birthday Party

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

There must be 25 pupils who all have different birthdays. If the remaining 5 pupils all have the same birthday as one of these pupils, then 6 pupils will share the same birthday.

This problem is taken from the UKMT Mathematical Challenges.
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