This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.
Can you fit the tangram pieces into the outline of Mai Ling?
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
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!
Here are more buildings to picture in your mind's eye. Watch out -
they become quite complicated!
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?
Which of the following cubes can be made from these nets?
What is the greatest number of squares you can make by overlapping
Here are the six faces of a cube - in no particular order. Here are
three views of the cube. Can you deduce where the faces are in
relation to each other and record them on the net of this cube?
Can you fit the tangram pieces into the outline of Granma T?
Make a cube out of straws and have a go at this practical
Can you work out what is wrong with the cogs on a UK 2 pound coin?
A group activity using visualisation of squares and triangles.
On which of these shapes can you trace a path along all of its
edges, without going over any edge twice?
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
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?
Can you fit the tangram pieces into the outline of Little Ming?
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Can you cut up a square in the way shown and make the pieces into a
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?
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 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 outline of this telephone?
Exchange the positions of the two sets of counters in the least possible number of moves
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 the rocket?
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 outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
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
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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 the child walking home from school?
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?
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
Exploring and predicting folding, cutting and punching holes and
Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
What are the next three numbers in this sequence? Can you explain
why are they called pyramid numbers?
What happens when you turn these cogs? Investigate the differences
between turning two cogs of different sizes and two cogs which are
Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?
This article looks at levels of geometric thinking and the types of
activities required to develop this thinking.
Here's a simple way to make a Tangram without any measuring or
A game for two players on a large squared space.