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!
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?
Follow these instructions to make a five-pointed snowflake from a
square of paper.
Can you describe what happens in this film?
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 deduce the pattern that has been used to lay out these
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 create shapes and patterns
with two different types of triangle. You could even try
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
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.
Here's a simple way to make a Tangram without any measuring or
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you make the birds from the egg tangram?
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.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
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?
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 fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outlines of these people?
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 clocks?
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 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 Little Ming playing the board game?
Can you fit the tangram pieces into the outline of this telephone?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
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 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?
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
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?
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?
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
Can you create more models that follow these rules?
How many models can you find which obey these rules?