Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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?
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.
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Exchange the positions of the two sets of counters in the least possible number of moves
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Train game for an adult and child. Who will be the first to make the train?
An interactive activity for one to experiment with a tricky tessellation
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?
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. . . .
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.
How many different rhythms can you make by putting two drums on the wheel?
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 variant on the game Alquerque
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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.
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!
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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.
Move just three of the circles so that the triangle faces in the opposite direction.
Can you fit the tangram pieces into the outline of the child walking home from school?
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?
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?
Match the halves.
Work out the fractions to match the cards with the same amount of money.
How many right angles can you make using two sticks?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Twenty four games for the run-up to Christmas.
Use the clues to colour each square.
A train building game for 2 players.
Use the interactivity or play this dice game yourself. How could you make it fair?
Complete the squares - but be warned some are trickier than they look!
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?
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?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of Granma T?