Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
What happens when you try and fit the triomino pieces into these
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
Use the clues to colour each square.
Can you cover the camel with these pieces?
How many different rhythms can you make by putting two drums on the
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
How many trains can you make which are the same length as Matt's, using rods that are identical?
How many different triangles can you make on a circular pegboard that has nine pegs?
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
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!
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?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Complete the squares - but be warned some are trickier than they
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
Can you find all the different ways of lining up these Cuisenaire
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
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.
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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. . . .
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
Match the halves.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Work out the fractions to match the cards with the same amount of
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....?
An interactive activity for one to experiment with a tricky tessellation