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### Working mathematically

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### Advanced mathematics

# Can You Play Strategically?

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Double or Halve?

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Nim-7

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Totality

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Daisy

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Latin Lilies

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Phiddlywinks

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This collection of games is intended to encourage you to think strategically. To become expert at each of the games, you'll need to think ahead, and test and modify your tactics as you go along.

The last day for sending in your thoughts and ideas is Thursday 8 July.

Age 5 to 7

Challenge Level

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Age 5 to 11

Challenge Level

Can you work out how to win this game of Nim? Does it matter if you go first or second?

Age 5 to 11

Challenge Level

This is an adding game for two players. Can you be the first to reach the target?

Age 7 to 11

Challenge Level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?

Age 7 to 14

Challenge Level

In this game you are challenged to gain more columns of lily pads than your opponent.

Age 7 to 18

Challenge Level

Have a go at this version of John Conway's game. Do you have any good strategies for winning?