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.
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?
Match the halves.
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.
Sort the houses in my street into different groups. Can you do it in any other ways?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Complete the squares - but be warned some are trickier than they
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
How many different rhythms can you make by putting two drums on the
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
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?
Exchange the positions of the two sets of counters in the least possible number of moves
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to 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.
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 generic circular pegboard resource.
Move just three of the circles so that the triangle faces in the
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.
Take it in turns to make a triangle on the pegboard. Can you block
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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?
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?
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?
Use the clues to colour each square.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
What is the greatest number of squares you can make by overlapping
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 clocks?
Can you fit the tangram pieces into the outline of Granma T?
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?
Can you fit the tangram pieces into the outlines of these people?