Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
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?
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 create more models that follow these rules?
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 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 Little Fung at the table?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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 this junk?
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?
Can you fit the tangram pieces into the outlines of the chairs?
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 candle and sundial?
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 this plaque design?
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Did you know mazes tell stories? Find out more about mazes and make one of your own.
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 Wai Ping, Wah Ming and Chi Wing?
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 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 these rabbits?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
What do these two triangles have in common? How are they related?
Exploring and predicting folding, cutting and punching holes and making spirals.
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.
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?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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.
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.
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Follow the diagrams to make this patchwork piece, based on an octagon in a square.
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
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.
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Follow these instructions to make a five-pointed snowflake from a square of paper.