Christmas Conundrums 2022

This feature has four problems for you to solve, all with a festive twist!
The last day for submitting solutions to the live problems is Monday 9th January.

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.

 

 

Amicable Arrangements 

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?

A Very Shiny Nose? 

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.

The Koch Snowflake 

Age 16 to 18
Challenge Level
Explore the strange geometrical properties of the Koch Snowflake.

Frosty the Snowman 

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?