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
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Make a clinometer and use it to help you estimate the heights of
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Make a mobius band and investigate its properties.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Make some celtic knot patterns using tiling techniques
Ideas for practical ways of representing data such as Venn and
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
How can you make a curve from straight strips of paper?
Follow these instructions to make a three-piece and/or seven-piece
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Use the tangram pieces to make our pictures, or to design some of
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Turn through bigger angles and draw stars with Logo.
Make a ball from triangles!
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Make a spiral mobile.
Exploring balance and centres of mass can be great fun. The
resulting structures can seem impossible. Here are some images to
encourage you to experiment with non-breakable objects of your own.
How can you make an angle of 60 degrees by folding a sheet of paper
A game to make and play based on the number line.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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?
This article for students gives some instructions about how to make some different braids.
What do these two triangles have in common? How are they related?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
In this article for teachers, Bernard uses some problems to suggest
that once a numerical pattern has been spotted from a practical
starting point, going back to the practical can help explain. . . .
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Surprise your friends with this magic square trick.
A jigsaw where pieces only go together if the fractions are
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 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?
Galileo, a famous inventor who lived about 400 years ago, came up
with an idea similar to this for making a time measuring
instrument. Can you turn your pendulum into an accurate minute
You could use just coloured pencils and paper to create this
design, but it will be more eye-catching if you can get hold of
hammer, nails and string.
What shape and size of drinks mat is best for flipping and catching?
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
More Logo for beginners. Now learn more about the REPEAT command.
Exploring and predicting folding, cutting and punching holes and
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
What happens when a procedure calls itself?
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.
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
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?