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 recreate this Indian screen pattern? Can you make up
similar patterns of your own?
This practical activity challenges you to create symmetrical designs by cutting a square into strips.
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?
Using a loop of string stretched around three of your fingers, what
different triangles can you make? Draw them and sort them into
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?
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
Explore the triangles that can be made with seven sticks of the
Have you ever tried tessellating capital letters? Have a look at
these examples and then try some for yourself.
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.
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.
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 describe a piece of paper clearly enough for your partner to know which piece it is?
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?
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?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
You'll need a collection of cups for this activity.
For this activity which explores capacity, you will need to collect some bottles and jars.
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
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?
Here's a simple way to make a Tangram without any measuring or
Ideas for practical ways of representing data such as Venn and
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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.
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?
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
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 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 outline of the child walking home from school?
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 this telephone?
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?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
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?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.