Using a loop of string stretched around three of your fingers, what
different triangles can you make? Draw them and sort them into
You'll need a collection of cups for this activity.
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?
For this activity which explores capacity, you will need to collect some bottles and jars.
What shapes can you make by folding an A4 piece of paper?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
In this activity focusing on capacity, you will need a collection of different jars and bottles.
Can you create more models that follow these rules?
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.
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5,
Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
Explore the triangles that can be made with seven sticks of the
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?
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?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
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 outline of this junk?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
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 make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
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?
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?
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
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 the chairs?
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 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 outlines of the candle and sundial?
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 telephone?
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 make the birds from the egg tangram?
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?
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?
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?
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
This challenge invites you to create your own picture using just
straight lines. Can you identify shapes with the same number of
sides and decorate them in the same way?