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 happens when you try and fit the triomino pieces into these two grids?
Can you cover the camel with these pieces?
Use the clues to colour each square.
How many different triangles can you make on a circular pegboard that has nine pegs?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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.
Can you sort these triangles into three different families and explain how you did it?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
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....?
Sort the houses in my street into different groups. Can you do it in any other ways?
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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
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?
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?
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?
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?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
How many different rhythms can you make by putting two drums on the wheel?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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 find all the different ways of lining up these Cuisenaire rods?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Exchange the positions of the two sets of counters in the least possible number of moves
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.
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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 variant on the game Alquerque
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.
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. . . .
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Can you find all the different triangles on these peg boards, and find their angles?
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you fit the tangram pieces into the outlines of the chairs?
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?
Move just three of the circles so that the triangle faces in the opposite direction.