Here are some Christmas maths ideas for all of you who are maths teachers or who just like doing maths.

- This picture shows two Christmas tree shapes. The first shape has eleven corners. How many corners does the second shape have? How many corners would the 11th shape have? Can you write an expression for the number of corners on the nth shape? Would there be a shape with 100 corners?
- Santa is buying clothes for his elves. He has trousers, jackets and hats in red, blue and green. He wants all the elves to be different. How many combinations of the three items of clothing can he make with the three colours? (They can have two or three items the same colour.) What about if he had some yellow clothes too?
- There are approximately two billion children in the world. If Santa has to give each child a present in 24 hours, how many presents does he need to deliver each second?
- My friend collects toy cars. They come in cube shaped boxes with length y cm. I have bought her 32 of them for Christmas and I want to wrap them. What will the surface area be, in terms of y, if I wrap them individually? I could wrap them all together in a cuboid shape to save wrapping paper. How many different ways can I put 32 cubes together to make a cuboid? Which way would give me the smallest surface area? What would the surface area be?

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I give up on all four questions.

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What about the Great Elf Game? http://www.teachmathematics.net/page/11174/the-great-elf-game

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That looks good!

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