Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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.
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
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 practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?
Here is a version of the game 'Happy Families' for you to make and play.
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?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every 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?
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
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?
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?
Can you create more models that follow these rules?
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 brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of this telephone?
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?
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?
Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
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 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 these rabbits?
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?
Can you fit the tangram pieces into the outline of this plaque design?
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 the workmen?
Can you fit the tangram pieces into the outline of this junk?
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 candle and sundial?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
An activity making various patterns with 2 x 1 rectangular tiles.
How can you make a curve from straight strips of paper?
Make a cube out of straws and have a go at this practical challenge.
Exploring and predicting folding, cutting and punching holes and making spirals.
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?
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
The challenge for you is to make a string of six (or more!) graded cubes.