Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these two grids?
Use the clues to colour each square.
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
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?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
How many different rhythms can you make by putting two drums on the wheel?
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?
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 work out how to balance this equaliser? You can put more than one weight on a hook.
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?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Sort the houses in my street into different groups. Can you do it in any other ways?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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....?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
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?
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?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Can you find all the different ways of lining up these Cuisenaire rods?
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
A train building game for 2 players.
Twenty four games for the run-up to Christmas.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Move just three of the circles so that the triangle faces in the opposite direction.
Complete the squares - but be warned some are trickier than they look!
A generic circular pegboard resource.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
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 these people?
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 clocks?
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 the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this telephone?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
How many right angles can you make using two sticks?