Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
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?
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?
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?
A generic circular pegboard resource.
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
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!
A card pairing game involving knowledge of simple ratio.
Train game for an adult and child. Who will be the first to make the train?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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 train building game for 2 players.
Using angular.js to bind inputs to outputs
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.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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.
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.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
A simulation of target archery practice
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?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
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?
Exchange the positions of the two sets of counters in the least possible number of moves
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
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 activity for one to experiment with a tricky tessellation
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. . . .
Try this interactive strategy game for 2
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 brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these clocks?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you fit the tangram pieces into the outlines of the chairs?
Can you create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
Can you fit the tangram pieces into the outlines of these people?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th