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Christmas Conundrums 2022

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.

 

 

Amicable Arrangements

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

Frosty the Snowman

Age 16 to 18
Challenge Level Yellow starYellow star
Frosty the Snowman is melting. Can you use your knowledge of differential equations to find out how his volume changes as he shrinks?

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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