Which of these dice are right-handed and which are left-handed?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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.
An activity centred around observations of dots and how we visualise number arrangement patterns.
In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
A game for two players on a large squared space.
Exchange the positions of the two sets of counters in the least possible number of moves
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.
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!
A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.
Can you work out what kind of rotation produced this pattern of
pegs in our pegboard?
Can you fit the tangram pieces into the outline of Mai Ling?
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.
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 this plaque design?
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?
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.
Can you fit the tangram pieces into the outline of this sports car?
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 work out what is wrong with the cogs on a UK 2 pound coin?
Here are more buildings to picture in your mind's eye. Watch out -
they become quite complicated!
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 fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
These points all mark the vertices (corners) of ten hidden squares.
Can you find the 10 hidden squares?
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?
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?
Make a flower design using the same shape made out of different sizes of paper.
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?
Can you fit the tangram pieces into the outline of this junk?
This article for teachers describes a project which explores
thepower of storytelling to convey concepts and ideas to children.
What shape is made when you fold using this crease pattern? Can you make a ring design?
Can you fit the tangram pieces into the outline of Granma T?
Can you visualise what shape this piece of paper will make when it is folded?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
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 outline of the rocket?
Can you cut up a square in the way shown and make the pieces into a
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 ...
Which of the following cubes can be made from these nets?
Can you fit the tangram pieces into the outline of these convex shapes?
What is the greatest number of squares you can make by overlapping
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
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?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?