Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Here is a version of the game 'Happy Families' for you to make and play.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
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?
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?
Can you fit the tangram pieces into the outlines of the candle and sundial?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
An activity making various patterns with 2 x 1 rectangular tiles.
Can you fit the tangram pieces into the outlines of the workmen?
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Can you fit the tangram pieces into the outline of Little Ming?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you cut up a square in the way shown and make the pieces into a triangle?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of the rocket?
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
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 Mai Ling?
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 this plaque design?
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?
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?
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 the telescope and microscope?
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you make the birds from the egg 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 junk?
Can you fit the tangram pieces into the outline of these rabbits?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
How many triangles can you make on the 3 by 3 pegboard?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you create more models that follow these rules?
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
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.
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 outline of Granma T?
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 outline of Little Ming playing the board game?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
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 this telephone?