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# Christmas Conundrums 2022

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Amicable Arrangements

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A Very Shiny Nose?

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The Koch Snowflake

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Frosty the Snowman

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This feature has four problems for you to solve, all with a festive twist!

Our friends at Plus have released their 2022 Advent Calendar. Behind every door you can find out about current maths research happening at the Isaac Newton Institute for Mathematical Sciences.

Age 16 to 18

Challenge Level

Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?

Age 16 to 18

Challenge Level

This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.

Age 16 to 18

Challenge Level

Explore the strange geometrical properties of the Koch Snowflake.

Age 16 to 18

Challenge Level

Frosty the Snowman is melting. Can you use your knowledge of differential equations to find out how his volume changes as he shrinks?