Try this interactive strategy game for 2
Can you picture where this letter "F" will be on the grid if you
flip it in these different ways?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
What is the relationship between these first two shapes? Which
shape relates to the third one in the same way? Can you explain
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
How many different ways can you find of fitting five hexagons
together? How will you know you have found all the ways?
Make a cube out of straws and have a go at this practical
Investigate the number of paths you can take from one vertex to
another in these 3D shapes. Is it possible to take an odd number
and an even number of paths to the same vertex?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Which of the following cubes can be made from these nets?
Reasoning about the number of matches needed to build squares that
share their sides.
Can you arrange the shapes in a chain so that each one shares a
face (or faces) that are the same shape as the one that follows it?
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Each of the nets of nine solid shapes has been cut into two pieces.
Can you see which pieces go together?
An extension of noughts and crosses in which the grid is enlarged
and the length of the winning line can to altered to 3, 4 or 5.
Exploring and predicting folding, cutting and punching holes and
I've made some cubes and some cubes with holes in. This challenge
invites you to explore the difference in the number of small cubes
I've used. Can you see any patterns?
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.
Can you fit the tangram pieces into the outlines of these clocks?
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
On which of these shapes can you trace a path along all of its
edges, without going over any edge twice?
Take a rectangle of paper and fold it in half, and half again, to
make four smaller rectangles. How many different ways can you fold
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Can you make a 3x3 cube with these shapes made from small cubes?
In each of the pictures the invitation is for you to: Count what
you see. Identify how you think the pattern would continue.
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 the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Can you fit the tangram pieces into the outlines of these people?
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 this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
Can you find ways of joining cubes together so that 28 faces are
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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 these rabbits?
Can you fit the tangram pieces into the outline of the telescope and microscope?
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
Can you fit the tangram pieces into the outline of Little Ming?
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
What is the total area of the four outside triangles which are
outlined in red in this arrangement of squares inside each other?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Think of a number, square it and subtract your starting number. Is
the number you’re left with odd or even? How do the images
help to explain this?