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Arrow Arithmetic 1
problem

Arrow Arithmetic 1

14 to 16
The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.
Global warming
problem

Global Warming

14 to 16
How much energy has gone into warming the planet?
Paper Curves
problem

Paper Curves

7 to 11

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

Share Bears
problem
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Share Bears

5 to 7

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Euler's Totient Function
problem

Euler's Totient Function

16 to 18
How many numbers are there less than $n$ which have no common factors with $n$?
A white spiral NRICH logo on a blue background.
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Impact Stories

This page details NRICH's impact through our partnership projects with schools.

Going Loopy
problem

Going Loopy

11 to 14

Draw some spirals with the LOGO programming language.

Difference Dynamics Discussion
article

Difference Dynamics Discussion

16 to 18

This article discusses what happens, and why, if you generate chains of sequences getting the next sequence from the differences between the adjacent terms in the sequence before it, eg (7, 2, 8, 3) maps to (5, 6, 5, 4).

It must be 2000
problem

It Must Be 2000

7 to 11
Here are many ideas for you to investigate - all linked with the number 2000.
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