Move just three of the circles so that the triangle faces in the opposite direction.
An odd version of tic tac toe
Twenty four games for the run-up to Christmas.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
An interactive activity for one to experiment with a tricky tessellation
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?
A card pairing game involving knowledge of simple ratio.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
A variant on the game Alquerque
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 train building game for 2 players.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Our 2008 Advent Calendar has a 'Making Maths' activity for every 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?
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?
Match the halves.
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.
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?
Work out the fractions to match the cards with the same amount of money.
Train game for an adult and child. Who will be the first to make the train?
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. . . .
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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 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?
How many right angles can you make using two sticks?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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!
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Exchange the positions of the two sets of counters in the least possible number of moves
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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.
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 Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Can you find just the right bubbles to hold your number?
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
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?