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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
How many right angles can you make using two sticks?
How many different rhythms can you make by putting two drums on the
An interactive activity for one to experiment with a tricky tessellation
Exchange the positions of the two sets of counters in the least possible number of moves
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 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.
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 these clocks?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
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 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?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
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?
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!
An odd version of tic tac toe
A generic circular pegboard resource.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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?
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 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?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Can you fit the tangram pieces into the outline of Little Fung at the table?
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?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Complete the squares - but be warned some are trickier than they
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Train game for an adult and child. Who will be the first to make the train?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
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?