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Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

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Reverse to Order

Take any two digit number, for example 58. What do you have to do to reverse the order of the digits? Can you find a rule for reversing the order of digits for any two digit number?

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Card Trick 2

Can you explain how this card trick works?

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 then. 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.
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