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15 problems, 1 game, 12 articles, 7 general resources, 43 Lists, 25 from Stage 1, 23 from Stage 2, 28 from Stage 3, 17 from Stage 4, 13 from Stage 5

Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.

This short question asks if you can work out the most precarious way to balance four tiles.

The Tower of Hanoi is an ancient mathematical challenge.

How do these measurements enable you to find the height of this tower?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Games and computer room activities suitable for upper secondary school students

Why does the tower look a different size in each of these pictures?

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

These two group activities use mathematical reasoning - one is numerical, one geometric.

These problems are all fairly well-known problems that we think all mathematics students should meet at some point in their education.

Games and computer room activities suitable for secondary school students

A tower of squares is built inside a right angled isosceles triangle. The largest square stands on the hypotenuse. What fraction of the area of the triangle is covered by the series of squares?

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

Mathematical patterns emerge from these contexts. We invite students to explore, explain and exploit.

Simply 'having a go' is a great way to make a start on a problem. When you do have a go, if it works out well that's fine, but what happens if it doesn't work out so well? Do you start again from. . . .

This Project, based in Tower Hamlets, is a collaboration between Tower Hamlets' Children's Services and NRICH. It involves NRICH colleagues working with Year 8 pupils in after school workshops.

The tasks in this lower primary feature lend themselves to being solved by trial and improvement.

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

Did you know that ancient traditional mazes often tell a story? Remembering the story helps you to draw the maze.

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

Number problems for lower primary that will get you thinking.

The lower primary tasks in this collection could each be solved by working backwards.

This task combines spatial awareness with addition and multiplication.

Did you know mazes tell stories? Find out more about mazes and make one of your own.

Pages for projects done in association with schools, universities and other organisations.

Activities for lower primary children which focus on working systematically.

First or two articles about Fibonacci, written for students.

Can you fit the tangram pieces into the outlines of the watering can and man in a boat?

Resources to help you to develop your determination

Working on these Stage 4 problems will help you develop a better understanding of patterns and sequences.

Number problems at primary level that require careful consideration.

Take a look at the Number Patterns and Infinity pathway on Wild Maths, and related NRICH resources for teachers.

Suppose you are a bellringer. Can you find the changes so that, starting and ending with a round, all the 24 possible permutations are rung once each and only once?

Working on these Stage 3 problems will help your students develop a better understanding of patterns and sequences.

Cubes are really useful for maths. They can help you understand many topics and they can help you get better at problem solving. Wow! Have a go at these activities, which all involve interlocking. . . .

Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?

The activities in this feature all use interlocking cubes to help you think mathematically.

A collection of short Stage 3 problems on creating algebraic expressions.

Give yourself lots of time to work on these lower primary problems. They are designed to help you become more thoughtful.

These lower primary tasks could all be tackled using a trial and improvement approach.

In this article for teachers, Jennie Pennant outlines how group-worthy tasks support the development of children's problem-solving skills.