In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
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.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
This project challenges you to work out the number of cubes hidden
under a cloth. What questions would you like to ask?
Can you lay out the pictures of the drinks in the way described by
the clue cards?
Make a spiral mobile.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
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.
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
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
Make some celtic knot patterns using tiling techniques
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
What shape and size of drinks mat is best for flipping and catching?
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.
This article for students gives some instructions about how to make some different braids.
An activity making various patterns with 2 x 1 rectangular tiles.
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Can you make the birds from the egg tangram?
Here's a simple way to make a Tangram without any measuring or
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ideas for practical ways of representing data such as Venn and
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Learn about Pen Up and Pen Down in Logo
Make a cube out of straws and have a go at this practical
We can cut a small triangle off the corner of a square and then fit
the two pieces together. Can you work out how these shapes are made
from the two pieces?
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
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
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Watch this "Notes on a Triangle" film. Can you recreate parts of
the film using cut-out triangles?
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
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 recreate this Indian screen pattern? Can you make up
similar patterns 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?
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
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.
A description of how to make the five Platonic solids out of paper.
Kimie and Sebastian were making sticks from interlocking cubes and
lining them up. Can they make their lines the same length? Can they
make any other lines?
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
More Logo for beginners. Now learn more about the REPEAT command.
Can you see which tile is the odd one out in this design? Using the
basic tile, can you make a repeating pattern to decorate our wall?
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?
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.