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 recreate this Indian screen pattern? Can you make up similar patterns of your own?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
Follow these instructions to make a five-pointed snowflake from a square of paper.
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
Can you describe what happens in this film?
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?
Can you deduce the pattern that has been used to lay out these bottle tops?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
Can you fit the tangram pieces into the outline of this junk?
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?
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?
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.
Follow the diagrams to make this patchwork piece, based on an octagon in a square.
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.
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 outline of this telephone?
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 chairs?
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 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 outlines of the lobster, yacht and cyclist?
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?
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 Fung at the table?
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 outlines of these people?
Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
Here's a simple way to make a Tangram without any measuring or ruling lines.
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
How can you make a curve from straight strips of paper?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
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.
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?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
A group of children are discussing the height of a tall tree. How would you go about finding out its height?