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.
What is the relationship between these first two shapes? Which
shape relates to the third one in the same way? Can you explain
Reasoning about the number of matches needed to build squares that
share their sides.
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
Can you make a 3x3 cube with these shapes made from small cubes?
These points all mark the vertices (corners) of ten hidden squares.
Can you find the 10 hidden squares?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
In each of the pictures the invitation is for you to: Count what
you see. Identify how you think the pattern would continue.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
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.
Billy's class had a robot called Fred who could draw with chalk
held underneath him. What shapes did the pupils make Fred draw?
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
Can you fit the tangram pieces into the outline of these convex shapes?
Can you cut up a square in the way shown and make the pieces into a
Here are more buildings to picture in your mind's eye. Watch out -
they become quite complicated!
What is the greatest number of squares you can make by overlapping
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.
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?
What is the total area of the four outside triangles which are
outlined in red in this arrangement of squares inside each other?
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
A game has a special dice with a colour spot on each face. These
three pictures show different views of the same dice. What colour
is opposite blue?
How can you paint the faces of these eight cubes so they can be put
together to make a 2 x 2 cube that is green all over AND a 2 x 2
cube that is yellow all over?
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?
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
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Can you fit the tangram pieces into the outlines of the chairs?
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
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?
Where can you put the mirror across the square so that you can
still "see" the whole square? How many different positions are
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?
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!
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?
Which of the following cubes can be made from these nets?
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 outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
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 this junk?
Use the lines on this figure to show how the square can be divided
into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Can you fit the tangram pieces into the outline of Little Ming?
What shape has Harry drawn on this clock face? Can you find its
area? What is the largest number of square tiles that could cover