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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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!
Exchange the positions of the two sets of counters in the least possible number of moves
A generic circular pegboard resource.
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
A card pairing game involving knowledge of simple ratio.
An odd version of tic tac toe
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!
An interactive activity for one to experiment with a tricky tessellation
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.
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?
Using angular.js to bind inputs to outputs
A train building game for 2 players.
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?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Stop the Clock game for an adult and child. How can you make sure you always win this game?
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.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Move just three of the circles so that the triangle faces in the
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
A simulation of target archery practice
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 game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Twenty four games for the run-up to Christmas.
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 fit the tangram pieces into the outline of Little Ming playing the board game?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
Match the halves.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Complete the squares - but be warned some are trickier than they
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Work out the fractions to match the cards with the same amount of
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?