Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
How many different triangles can you make on a circular pegboard that has nine pegs?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Can you find all the different triangles on these peg boards, and
find their angles?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Can you cover the camel with these pieces?
Use the clues to colour each square.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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 this junk?
Can you fit the tangram pieces into the outline of Granma T?
Can you fit the tangram pieces into the outline of Mai Ling?
How many different rhythms can you make by putting two drums on the
Can you fit the tangram pieces into the outlines of the candle and sundial?
What happens when you try and fit the triomino pieces into these
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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 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 in them?
A generic circular pegboard resource.
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?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
How many trains can you make which are the same length as Matt's, using rods that are identical?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
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 find all the different ways of lining up these Cuisenaire
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?
Use the interactivity to make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
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.
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
Can you fit the tangram pieces into the outlines of the workmen?
Can you fit the tangram pieces into the outline of these convex shapes?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
Can you fit the tangram pieces into the outline of the child walking home from school?