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 make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
A generic circular pegboard resource.
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
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?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
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 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?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Choose a symbol to put into the number sentence.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
A simulation of target archery practice
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?
Use the interactivity or play this dice game yourself. How could you make it fair?
Can you fit the tangram pieces into the outline of Granma T?
What is the greatest number of squares you can make by overlapping three squares?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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 complete this jigsaw of the multiplication square?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
A train building game for 2 players.
If you have only four weights, where could you place them in order to balance this equaliser?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
A card pairing game involving knowledge of simple ratio.
Can you find all the different ways of lining up these Cuisenaire rods?
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 brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outlines of these people?
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 outline of this telephone?
Can you logically construct these silhouettes using the tangram pieces?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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.
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of the chairs?
Exchange the positions of the two sets of counters in the least possible number of moves