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.
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
This article looks at levels of geometric thinking and the types of
activities required to develop this thinking.
What is the total area of the four outside triangles which are
outlined in red in this arrangement of squares inside each other?
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?
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?
Can you cut up a square in the way shown and make the pieces into a
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
Looking at the picture of this Jomista Mat, can you decribe what
you see? Why not try and make one yourself?
This problem invites you to build 3D shapes using two different
triangles. Can you make the shapes from the pictures?
In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.
Try this interactive strategy game for 2
Can you make a 3x3 cube with these shapes made from small cubes?
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?
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 work out what kind of rotation produced this pattern of
pegs in our pegboard?
Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.
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 work out what is wrong with the cogs on a UK 2 pound coin?
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?
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.
Can you fit the tangram pieces into the outline of Mai Ling?
Which of the following cubes can be made from these nets?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
What is the greatest number of squares you can make by overlapping
What is the relationship between these first two shapes? Which
shape relates to the third one in the same way? Can you explain
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?
Can you fit the tangram pieces into the outlines of the workmen?
Make a flower design using the same shape made out of different sizes of paper.
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
On which of these shapes can you trace a path along all of its
edges, without going over any edge twice?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of Granma T?
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 Little Ming?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of these people?
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 Little Fung at the table?
Can you visualise what shape this piece of paper will make when it is folded?
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
Here's a simple way to make a Tangram without any measuring or
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
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