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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Work out the fractions to match the cards with the same amount of money.
An interactive activity for one to experiment with a tricky tessellation
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?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?
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. . . .
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!
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.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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 generic circular pegboard resource.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
A train building game for 2 players.
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
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 simulation of target archery practice
Train game for an adult and child. Who will be the first to make the train?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Square It game for an adult and child. Can you come up with a way of always winning this game?
Can you fit the tangram pieces into the outline of this telephone?
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?
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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!
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
Can you fit the tangram pieces into the outline of Granma T?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Can you fit the tangram pieces into the outlines of these clocks?
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?