Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
This practical activity challenges you to create symmetrical
designs by cutting a square into strips.
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?
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
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.
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
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?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
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.
Using a loop of string stretched around three of your fingers, what
different triangles can you make? Draw them and sort them into
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?
Try continuing these patterns made from triangles. Can you create
your own repeating pattern?
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 make a rectangle with just 2 dominoes? What about 3, 4, 5,
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?
In this activity focusing on capacity, you will need a collection of different jars and bottles.
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
Explore the triangles that can be made with seven sticks of the
Can you make five differently sized squares from the tangram
You'll need a collection of cups for this activity.
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
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?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
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.
This practical activity involves measuring length/distance.
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
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 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?
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 telephone?
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 people?
This problem focuses on Dienes' Logiblocs. What is the same and
what is different about these pairs of shapes? Can you describe the
shapes in the picture?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you lay out the pictures of the drinks in the way described by
the clue cards?
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
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