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 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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you cover the camel with these pieces?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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
How many different rhythms can you make by putting two drums on the
Sort the houses in my street into different groups. Can you do it in any other ways?
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 your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the clues to colour each square.
What happens when you try and fit the triomino pieces into these
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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 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. . . .
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
An interactive activity for one to experiment with a tricky tessellation
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.
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.
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
Can you fit the tangram pieces into the outlines of the chairs?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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?
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Move just three of the circles so that the triangle faces in the
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
A generic circular pegboard resource.
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?
How many different triangles can you make on a circular pegboard
that has nine pegs?
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?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Complete the squares - but be warned some are trickier than they
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
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?
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?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Can you find all the different ways of lining up these Cuisenaire