In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
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?
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?
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
If you have only four weights, where could you place them in order
to balance this equaliser?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
Work out the fractions to match the cards with the same amount of
A generic circular pegboard resource.
Choose a symbol to put into the number sentence.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
A card pairing game involving knowledge of simple ratio.
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 complete this jigsaw of the multiplication square?
A train building game for 2 players.
Use the interactivities to complete these Venn diagrams.
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.
Train game for an adult and child. Who will be the first to make the train?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
An interactive activity for one to experiment with a tricky tessellation
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. . . .
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.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
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?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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!
Can you find all the different ways of lining up these Cuisenaire
Can you fit the tangram pieces into the outlines of the chairs?
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?
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.
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this telephone?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of these clocks?