Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
How can you make a curve from straight strips of paper?
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Make a ball from triangles!
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
Can you make the birds from the egg tangram?
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Follow these instructions to make a three-piece and/or seven-piece tangram.
Surprise your friends with this magic square trick.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.
Make a mobius band and investigate its properties.
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Follow these instructions to make a five-pointed snowflake from a square of paper.
Follow the diagrams to make this patchwork piece, based on an octagon in a square.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
If you'd like to know more about Primary Maths Masterclasses, this is the package to read! Find out about current groups in your region or how to set up your own.
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
What shapes can you make by folding an A4 piece of paper?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of the child walking home from school?
This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Can you fit the tangram pieces into the outlines of these clocks?
Use the tangram pieces to make our pictures, or to design some of your own!
This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
Can you lay out the pictures of the drinks in the way described by the clue cards?
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Can you fit the tangram pieces into the outline of this goat and giraffe?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Can you create more models that follow these rules?
Can you fit the tangram pieces into the outlines of the candle and sundial?
What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
Can you fit the tangram pieces into the outlines of the workmen?
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Here's a simple way to make a Tangram without any measuring or ruling lines.
Can you split each of the shapes below in half so that the two parts are exactly the same?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?