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?
Sort the houses in my street into different groups. Can you do it in any other ways?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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!
Work out the fractions to match the cards with the same amount of
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Can you fit the tangram pieces into the outline of the child walking home from school?
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 fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Can you fit the tangram pieces into the outlines of these clocks?
Complete the squares - but be warned some are trickier than they
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.
Use the clues to colour each square.
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
What happens when you try and fit the triomino pieces into these
Can you fit the tangram pieces into the outline of this telephone?
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 Granma T?
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?
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?
Can you fit the tangram pieces into the outlines of the chairs?
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.
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.
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?
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
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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 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. . . .
An interactive activity for one to experiment with a tricky tessellation
How many different rhythms can you make by putting two drums on the
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?
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
A generic circular pegboard resource.
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?
Twenty four games for the run-up to Christmas.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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?
Take it in turns to make a triangle on the pegboard. Can you block
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?