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?
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 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. . . .
Work out the fractions to match the cards with the same amount of
A card pairing game involving knowledge of simple ratio.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
A generic circular pegboard resource.
A train building game for 2 players.
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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?
Exchange the positions of the two sets of counters in the least possible number of moves
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.
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?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
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!
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
A simulation of target archery practice
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?
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!
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.
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Using angular.js to bind inputs to outputs
An interactive activity for one to experiment with a tricky tessellation
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Choose a symbol to put into the number sentence.
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.
Use the interactivity or play this dice game yourself. How could
you make it fair?
Can you fit the tangram pieces into the outline of Granma T?
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?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the chairs?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
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?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?