What do these two triangles have in common? How are they related?
If these balls are put on a line with each ball touching the one in
front and the one behind, which arrangement makes the shortest line
Cut a square of paper into three pieces as shown. Now,can you use
the 3 pieces to make a large triangle, a parallelogram and the
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
How can you make an angle of 60 degrees by folding a sheet of paper
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
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?
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?
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.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
Starting with four different triangles, imagine you have an
unlimited number of each type. How many different tetrahedra can
you make? Convince us you have found them all.
Ideas for practical ways of representing data such as Venn and
An activity making various patterns with 2 x 1 rectangular tiles.
Here's a simple way to make a Tangram without any measuring or
Can you make the birds from the egg tangram?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
These are pictures of the sea defences at New Brighton. Can you
work out what a basic shape might be in both images of the sea wall
and work out a way they might fit together?
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?
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 outline of Little Ming playing the board game?
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 this telephone?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Can you recreate this Indian screen pattern? Can you make up
similar patterns of your own?
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
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.
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?
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
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?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Turn through bigger angles and draw stars with Logo.
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.
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?
How can you make a curve from straight strips of paper?
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
The challenge for you is to make a string of six (or more!) graded
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?