Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
A card pairing game involving knowledge of simple ratio.
A train building game for 2 players.
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?
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?
Use the sightings of the lion to guess the location of its lair.
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
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?
An interactive activity for one to experiment with a tricky tessellation
Using angular.js to bind inputs to outputs
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 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 the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
Work out the fractions to match the cards with the same amount of money.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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!
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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 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 simulation of target archery practice
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 make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
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?
Can you complete this jigsaw of the multiplication square?
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!
Try this interactive strategy game for 2
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 fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.
Can you fit the tangram pieces into the outline of Granma T?
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
If you have only four weights, where could you place them in order to balance this equaliser?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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 shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.