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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
Move just three of the circles so that the triangle faces in the opposite direction.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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
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 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 variant on the game Alquerque
An interactive activity for one to experiment with a tricky tessellation
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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!
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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 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 generic circular pegboard resource.
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?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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?
Train game for an adult and child. Who will be the first to make the train?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Use the interactivity or play this dice game yourself. How could you make it fair?
Complete the squares - but be warned some are trickier than they look!
How many right angles can you make using two sticks?
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?
Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Work out the fractions to match the cards with the same amount of money.
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?
Match the halves.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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. . . .
What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you sort these triangles into three different families and explain how you did it?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?