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?
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
We can cut a small triangle off the corner of a square and then fit
the two pieces together. Can you work out how these shapes are made
from the two pieces?
We have a box of cubes, triangular prisms, cones, cuboids,
cylinders and tetrahedrons. Which of the buildings would fall down
if we tried to make them?
Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
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.
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Follow these instructions to make a five-pointed snowflake from a
square of paper.
Explore the triangles that can be made with seven sticks of the
Using a loop of string stretched around three of your fingers, what
different triangles can you make? Draw them and sort them into
What shapes can you make by folding an A4 piece of paper?
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?
For this activity which explores capacity, you will need to collect some bottles and jars.
You'll need a collection of cups for this activity.
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5,
In this activity focusing on capacity, you will need a collection of different jars and bottles.
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?
Ideas for practical ways of representing data such as Venn and
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.
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 make the birds from the egg tangram?
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?
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?
Here's a simple way to make a Tangram without any measuring or
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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 outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
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 brazier for roasting chestnuts?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
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 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 outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
What shape is made when you fold using this crease pattern? Can you make a ring design?
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.
How can you make a curve from straight strips of paper?