Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
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.
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 Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outline of this junk?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Can you fit the tangram pieces into the outline of the rocket?
Can you cut up a square in the way shown and make the pieces into a triangle?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Can you fit the tangram pieces into the outline of Little Ming?
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 goat and giraffe?
Can you fit the tangram pieces into the outline of Mai Ling?
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Can you fit the tangram pieces into the outline of these rabbits?
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 outline of this brazier for roasting chestnuts?
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?
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 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 Little Ming and Little Fung dancing?
Make a cube out of straws and have a go at this practical challenge.
Can you fit the tangram pieces into the outlines of the workmen?
Can you fit the tangram pieces into the outlines of the candle and sundial?
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 outline of the telescope and microscope?
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Can you fit the tangram pieces into the outline of Granma T?
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
Can you create more models that follow these rules?
How many models can you find which obey 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?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Which of the following cubes can be made from these nets?
The challenge for you is to make a string of six (or more!) graded cubes.
Can you fit the tangram pieces into the outline of these convex shapes?
Can you fit the tangram pieces into the outline of this sports car?
Exploring and predicting folding, cutting and punching holes and making spirals.
What do these two triangles have in common? How are they related?