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.
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?
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.
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Take it in turns to make a triangle on the pegboard. Can you block
Move just three of the circles so that the triangle faces in 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?
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?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
An odd version of tic tac toe
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
A card pairing game involving knowledge of simple ratio.
Complete the squares - but be warned some are trickier than they
Can you fit the tangram pieces into the outline of Granma T?
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
A generic circular pegboard resource.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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 train building game for 2 players.
How many different rhythms can you make by putting two drums on the
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.
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?
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 this brazier for roasting chestnuts?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
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?
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. . . .
An interactive activity for one to experiment with a tricky tessellation
Can you cover the camel with these pieces?
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.
Match the halves.
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?