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?
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?
A train building game for 2 players.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Choose a symbol to put into the number sentence.
Use the interactivity or play this dice game yourself. How could you make it fair?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
A generic circular pegboard resource.
Work out the fractions to match the cards with the same amount of money.
A card pairing game involving knowledge of simple ratio.
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Train game for an adult and child. Who will be the first to make the train?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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?
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 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.
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. . . .
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.
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.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
An interactive activity for one to experiment with a tricky tessellation
Exchange the positions of the two sets of counters in the least possible number of moves
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
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?
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!
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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!
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
A simulation of target archery practice
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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 fit the tangram pieces into the outline of the telescope and microscope?
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 shape. How would you describe it?
If you have only four weights, where could you place them in order to balance this equaliser?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Can you work out what is wrong with the cogs on a UK 2 pound coin?