Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Can you make the birds from the egg tangram?
Surprise your friends with this magic square trick.
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.
Follow these instructions to make a five-pointed snowflake from a square of paper.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Here's a simple way to make a Tangram without any measuring or ruling lines.
Make a mobius band and investigate its properties.
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Here is a version of the game 'Happy Families' for you to make and play.
Can you fit the tangram pieces into the outline of Mai Ling?
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Can you fit the tangram pieces into the outline of this junk?
Follow these instructions to make a three-piece and/or seven-piece tangram.
What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Can you fit the tangram pieces into the outlines of the chairs?
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 outline of the telescope and microscope?
Can you fit the tangram pieces into the outline of this goat and giraffe?
Make a ball from triangles!
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outlines of the workmen?
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
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?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.