Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
Follow these instructions to make a five-pointed snowflake from a
square 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?
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
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!
Can you deduce the pattern that has been used to lay out these
This practical investigation invites you to make tessellating
shapes in a similar way to the artist Escher.
Can you describe what happens in this film?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
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?
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.
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?
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 solitaire type environment for you to experiment with. Which targets can you reach?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
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?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
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 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 the child walking home from school?
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 outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
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 this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
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?
Ideas for practical ways of representing data such as Venn and
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
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?
Make new patterns from simple turning instructions. You can have a
go using pencil and paper or with a floor robot.
How can you make a curve from straight strips of paper?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
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?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
This practical activity involves measuring length/distance.