What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.
A variant on the game Alquerque
Exchange the positions of the two sets of counters in the least possible number of moves
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
A game for two players on a large squared space.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
A game for two players. You'll need some counters.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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.
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!
Have you ever tried tessellating capital letters? Have a look at
these examples and then try some for yourself.
Move just three of the circles so that the triangle faces in the
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?
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?
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 work out what is wrong with the cogs on a UK 2 pound coin?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
How many different triangles can you make on a circular pegboard that has nine pegs?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?
What happens when you try and fit the triomino pieces into these
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Can you cover the camel with these pieces?
Can you make a 3x3 cube with these shapes made from small cubes?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
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
Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?
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 the rocket?
Can you fit the tangram pieces into the outline of this plaque design?
Design an arrangement of display boards in the school hall which fits the requirements of different people.
Can you fit the tangram pieces into the outline of these rabbits?
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 many loops of string have been used to make these patterns?
How many pieces of string have been used in these patterns? Can you
describe how you know?
Can you fit the tangram pieces into the outline of these convex shapes?
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of the telescope and microscope?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Square It game for an adult and child. Can you come up with a way of always winning this game?
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 outlines of these clocks?