Sort the houses in my street into different groups. Can you do it in any other ways?
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?
How many different rhythms can you make by putting two drums on the wheel?
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?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
What happens when you try and fit the triomino pieces into these two grids?
Can you cover the camel with these pieces?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Use the clues to colour each square.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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?
Can you fit the tangram pieces into the outlines of these clocks?
A variant on the game Alquerque
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 these people?
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 activity for one to experiment with a tricky tessellation
Can you fit the tangram pieces into the outlines of the chairs?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
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?
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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.
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?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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!
Move just three of the circles so that the triangle faces in the opposite direction.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
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.
Twenty four games for the run-up to Christmas.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
A train building game for 2 players.
Can you find all the different ways of lining up these Cuisenaire rods?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the interactivity or play this dice game yourself. How could you make it fair?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?