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 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
Can you cover the camel with these pieces?
Use the clues to colour each square.
What happens when you try and fit the triomino pieces into these
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
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.
Sort the houses in my street into different groups. Can you do it in any other ways?
Can you find all the different ways of lining up these Cuisenaire
How many different rhythms can you make by putting two drums on 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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
An interactive activity for one to experiment with a tricky tessellation
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
How many right angles can you make using two sticks?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
A train building game for 2 players.
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
How many different triangles can you make on a circular pegboard that has nine pegs?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Move just three of the circles so that the triangle faces in the
Train game for an adult and child. Who will be the first to make the train?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!