What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Can you sort these triangles into three different families and explain how you did it?
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
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.
A card pairing game involving knowledge of simple ratio.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
An odd version of tic tac toe
Work out the fractions to match the cards with the same amount of
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?
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?
Match the halves.
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Exchange the positions of the two sets of counters in the least possible number of moves
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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. . . .
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?
A generic circular pegboard resource.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
How many right angles can you make using two sticks?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
A train building game for 2 players.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Twenty four games for the run-up to Christmas.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Complete the squares - but be warned some are trickier than they
Sort the houses in my street into different groups. Can you do it in any other ways?