Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these two grids?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you sort these triangles into three different families and explain how you did it?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Use the clues to colour each square.
Sort the houses in my street into different groups. Can you do it in any other ways?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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 fit the tangram pieces into the outlines of these clocks?
A variant on the game Alquerque
How many different rhythms can you make by putting two drums on the wheel?
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 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.
Can you fit the tangram pieces into the outline of the child walking home from school?
Exchange the positions of the two sets of counters in the least possible number of moves
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
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 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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
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?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
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?
Move just three of the circles so that the triangle faces in the opposite direction.
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Complete the squares - but be warned some are trickier than they look!
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.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
A train building game for 2 players.
Twenty four games for the run-up to Christmas.
Using angular.js to bind inputs to outputs
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Use the sightings of the lion to guess the location of its lair.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?