Problems
Curve Spotting
Stage: 1 Challenge Level: 
Can you spot circles, spirals and other types of curves in these photos?
Doing and Undoing
Stage: 1 Challenge Level:
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
Ordering Cards
Stage: 1 and 2 Challenge Level:
This problem is designed to help children to learn, and to use, the two and three times tables.
Cuisenaire Spirals
Stage: 2 Challenge Level:
Can you make arrange Cuisenaire rods so that they make a 'spiral' with right angles at the corners?
Exploring Number Patterns You Make
Stage: 2 Challenge Level:
Explore Alex's number plumber. What questions would you like to ask? What do you think is happening to the numbers?
Making Spirals
Stage: 2 Challenge Level:
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
Constructing Triangles
Stage: 3 Challenge Level:
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Marbles in a Box
Stage: 3 Challenge Level:
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Warmsnug Double Glazing
Stage: 3 Challenge Level:
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Witch's Hat
Stage: 3 and 4 Challenge Level:
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Making Moiré Patterns
Stage: 3, 4 and 5 Challenge Level:
Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!
Kite in a Square
Stage: 4 Challenge Level:
Can you make sense of the three methods to work out the area of the kite in the square?
Simply Graphs
Stage: 5 Challenge Level:
Look for the common features in these graphs. Which graphs belong together?
Hyperbolic Thinking
Stage: 5 Challenge Level:
Explore the properties of these two fascinating functions using trigonometry as a guide.
Fundamental Particles Collection
Stage: 5 Challenge Level:
A collection of problems related to the mathematics of fundamental physics.
Interpolating Polynomials
Stage: 5 Challenge Level:
Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.
Featured Solutions
Now and Then
Lots of very good ideas that caused pupils to think and problem solve in what was probably a new area of Mathematics
Olympic Turns
A few thoughtful solutions here where pupils have thought carefully about the angles that they had observed.
Olympic Logic
This was a very popular problem - all four parts were tackled in a logical and systematic way.
Stage 5 Cipher Challenge
The cipher challenge from the February month has now been solved fully. Read the solutions to the 7 ciphers here.
Articles & Games
Going for Games
In this article for teachers, Liz Woodham describes the criteria she uses to choose mathematical games for the classroom and shares some examples from NRICH.
Snail One Hundred
This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.
Games from Around the World
Here are a collection of games from around the world to try during the holidays or the last few weeks of term.
Programming: Moiré Patterns
We need computer programmers! Logo is a great entry-level programming language - and you can create stunning graphics while you learn.
On the Importance of Pedantry
A introduction to how patterns can be deceiving, and what is and is not a proof.
NRICH is part of the family of activities in the Millennium Mathematics Project.