Sort the houses in my street into different groups. Can you do it in any other ways?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you sort these triangles into three different families and explain how you did it?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
An interactive activity for one to experiment with a tricky tessellation
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
How many different rhythms can you make by putting two drums on the
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
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 generic circular pegboard resource.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
How many different triangles can you make on a circular pegboard that has nine pegs?
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
Can you fit the tangram pieces into the outlines of the chairs?
Move just three of the circles so that the triangle faces in the
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
Can you fit the tangram pieces into the outline of the child walking home from school?
Match the halves.
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Work out the fractions to match the cards with the same amount of
How many right angles can you make using two sticks?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
A train building game for 2 players.
Twenty four games for the run-up to Christmas.
Complete the squares - but be warned some are trickier than they
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Use the clues to colour each square.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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 fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of Granma T?
Can you fit the tangram pieces into the outline of this telephone?
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.