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 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!
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
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?
Work out the fractions to match the cards with the same amount of money.
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 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.
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?
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. . . .
An interactive activity for one to experiment with a tricky tessellation
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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!
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?
A simulation of target archery practice
Use the sightings of the lion to guess the location of its lair.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Using angular.js to bind inputs to outputs
A card pairing game involving knowledge of simple ratio.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
A train building game for 2 players.
Can you fit the tangram pieces into the outline of Granma T?
Try this interactive strategy game for 2
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.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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!
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?
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?
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 times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
Can you fit the tangram pieces into the outline of this telephone?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Use the interactivity or play this dice game yourself. How could you make it fair?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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....?
Can you find all the different ways of lining up these Cuisenaire rods?
What is the greatest number of squares you can make by overlapping three squares?
Choose a symbol to put into the number sentence.
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?
These interactive dominoes can be dragged around the screen.
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?