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 generic circular pegboard resource.
Work out the fractions to match the cards with the same amount of
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
A train building game for 2 players.
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!
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?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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 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 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.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Exchange the positions of the two sets of counters in the least possible number of moves
An interactive activity for one to experiment with a tricky tessellation
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.
A card pairing game involving knowledge of simple ratio.
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?
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?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Train game for an adult and child. Who will be the first to make the train?
A simulation of target archery practice
Using angular.js to bind inputs to outputs
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you fit the tangram pieces into the outline of Granma T?
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.
Try this interactive strategy game for 2
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.
What is the greatest number of squares you can make by overlapping
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Can you fit the tangram pieces into the outline of this junk?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Use the interactivity or play this dice game yourself. How could
you make it fair?
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?
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!
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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!