Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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.
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.
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.
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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 outline of Little Fung at the table?
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 outlines of these people?
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
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 outlines of these clocks?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of this goat and giraffe?
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 plaque design?
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
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 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 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 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?
Can you fit the tangram pieces into the outline of the child walking home from school?
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?
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?
The challenge for you is to make a string of six (or more!) graded cubes.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
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?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
This practical activity challenges you to create symmetrical designs by cutting a square into strips.
How can you make a curve from straight strips of paper?
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 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 is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.