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 train building game for 2 players.
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?
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.
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?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
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?
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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
A card pairing game involving knowledge of simple ratio.
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?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Using angular.js to bind inputs to outputs
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An interactive activity for one to experiment with a tricky tessellation
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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 find all the different ways of lining up these Cuisenaire rods?
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.
Work out the fractions to match the cards with the same amount of money.
A simulation of target archery practice
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
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!
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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.
What is the greatest number of squares you can make by overlapping three squares?
Try this interactive strategy game for 2
Can you fit the tangram pieces into the outline of this junk?
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 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?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
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 see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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?
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 fit the tangram pieces into the outlines of the candle and sundial?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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!