Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
How many trains can you make which are the same length as Matt's, using rods that are identical?
Can you cover the camel with these pieces?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
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
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
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.
Use the clues to colour each square.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Find out what a "fault-free" rectangle is and try to make some of
A train building game for 2 players.
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?
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.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Can you find all the different triangles on these peg boards, and
find their angles?
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 four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Move just three of the circles so that the triangle faces in the
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
An interactive activity for one to experiment with a tricky tessellation
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these clocks?
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 the chairs?