How can you make a curve from straight strips of paper?
Make a mobius band and investigate its properties.
Have you noticed that triangles are used in manmade structures?
Perhaps there is a good reason for this? 'Test a Triangle' and see
how rigid triangles are.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Follow these instructions to make a three-piece and/or seven-piece
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Make a ball from triangles!
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
Surprise your friends with this magic square trick.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
This practical activity involves measuring length/distance.
What shapes can you make by folding an A4 piece of paper?
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 these instructions to make a five-pointed snowflake from a
square of paper.
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?
Make new patterns from simple turning instructions. You can have a
go using pencil and paper or with a floor robot.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Ideas for practical ways of representing data such as Venn and
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
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 Wai Ping, Wah Ming and Chi Wing?
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?
Can you fit the tangram pieces into the outlines of the chairs?
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 the child walking home from school?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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 this shape. How would you describe it?
Can you fit the tangram pieces into the outlines of these people?
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?
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?
Make a cube out of straws and have a go at this practical
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
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?
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?
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
Can you lay out the pictures of the drinks in the way described by
the clue cards?
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
Use the tangram pieces to make our pictures, or to design some of
Can you create more models that follow these rules?