Exchange the positions of the two sets of counters in the least possible number of moves
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!
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
What happens when you turn these cogs? Investigate the differences
between turning two cogs of different sizes and two cogs which are
Can you fit the tangram pieces into the outline of Little Ming?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of Mai Ling?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outline of this junk?
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 candle and sundial?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
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?
Can you fit the tangram pieces into the outlines of these people?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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 fit the tangram pieces into the outlines of these clocks?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
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.
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
What is the greatest number of squares you can make by overlapping
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?
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?
A train building game for 2 players.
An interactive activity for one to experiment with a tricky tessellation
Can you fit the tangram pieces into the outline of the rocket?
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. . . .
Can you fit the tangram pieces into the outline of Granma T?
A card pairing game involving knowledge of simple ratio.
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.
A generic circular pegboard resource.
Can you fit the tangram pieces into the outline of the child walking home from school?
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?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Work out the fractions to match the cards with the same amount of
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
Using angular.js to bind inputs to outputs
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?