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Move four sticks so there are exactly four triangles.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
Here is a version of the game 'Happy Families' for you to make and play.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
Can you fit the tangram pieces into the outlines of the chairs?
Follow these instructions to make a five-pointed snowflake from a square 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 Mai Ling and Chi Wing?
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 the child walking home from school?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outlines of these clocks?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Can you fit the tangram pieces into the outlines of the candle and sundial?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Can you fit the tangram pieces into the outline of this goat and giraffe?
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Can you fit the tangram pieces into the outline of these rabbits?
Can you fit the tangram pieces into the outlines of the workmen?
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 this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outline of this telephone?
These pictures show squares split into halves. Can you find other ways?
Can you split each of the shapes below in half so that the two parts are exactly the same?
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Can you put these shapes in order of size? Start with the smallest.
Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
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?
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?
This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Here's a simple way to make a Tangram without any measuring or ruling lines.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this junk?
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 Little Ming playing the board game?
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
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?
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 see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?
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 fit the tangram pieces into the outline of Little Fung at the table?