A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
Can you create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
Can you put these shapes in order of size? Start with the smallest.
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of Granma T?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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 outline of this brazier for roasting chestnuts?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
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?
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 different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
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 fit the tangram pieces into the outlines of these people?
Use the clues to colour each square.
Find out what a "fault-free" rectangle is and try to make some of
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Can you find all the different ways of lining up these Cuisenaire
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?
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?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Can you find all the different triangles on these peg boards, and
find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
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.
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
How many different rhythms can you make by putting two drums on the
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?
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
Can you fit the tangram pieces into the outline of this junk?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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 outline of this shape. How would you describe it?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?