Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Can you describe what happens in this film?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
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
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.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
Here is a chance to create some attractive images by rotating
shapes through multiples of 90 degrees, or 30 degrees, or 72
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
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?
This activity investigates how you might make squares and pentominoes from Polydron.
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Can you make the birds from the egg tangram?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
An activity making various patterns with 2 x 1 rectangular tiles.
Ideas for practical ways of representing data such as Venn and
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Here's a simple way to make a Tangram without any measuring or
Starting with four different triangles, imagine you have an
unlimited number of each type. How many different tetrahedra can
you make? Convince us you have found them all.
You could use just coloured pencils and paper to create this
design, but it will be more eye-catching if you can get hold of
hammer, nails and string.
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?
These are pictures of the sea defences at New Brighton. Can you
work out what a basic shape might be in both images of the sea wall
and work out a way they might fit together?
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.
Can you fit the tangram pieces into the outline of this telephone?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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 Little Ming playing the board game?
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 brazier for roasting chestnuts?
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 this junk?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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 Wai Ping, Wah Ming and Chi Wing?
These squares have been made from Cuisenaire rods. Can you describe
the pattern? What would the next square look like?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
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?
Can you create more models that follow these rules?
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.