The ancient Egyptians were said to make right-angled triangles
using a rope with twelve equal sections divided by knots. What
other triangles could you make if you had a rope like this?
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.
What shapes can you make by folding an A4 piece of paper?
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
How many triangles can you make on the 3 by 3 pegboard?
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?
What do these two triangles have in common? How are they related?
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Make a ball from triangles!
Follow these instructions to make a three-piece and/or seven-piece
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
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?
Surprise your friends with this magic square trick.
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?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Make a mobius band and investigate its properties.
Make a clinometer and use it to help you estimate the heights of
Ideas for practical ways of representing data such as Venn and
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
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?
What shape and size of drinks mat is best for flipping and catching?
How can you make a curve from straight strips of paper?
Can you fit the tangram pieces into the outlines of these clocks?
How do you know if your set of dominoes is complete?
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.
Can you fit the tangram pieces into the outlines of these people?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
This practical activity involves measuring length/distance.
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 this junk?
Let's say you can only use two different lengths - 2 units and 4
units. Using just these 2 lengths as the edges how many different
cuboids can you make?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
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 Little Fung at the table?