An odd version of tic tac toe
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
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.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
A generic circular pegboard resource.
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Match the halves.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
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. . . .
A card pairing game involving knowledge of simple ratio.
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.
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?
Using angular.js to bind inputs to outputs
Complete the squares - but be warned some are trickier than they
Twenty four games for the run-up to Christmas.
Move just three of the circles so that the triangle faces in the
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
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.
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!
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Can you find just the right bubbles to hold your number?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Can you sort these triangles into three different families and explain how you did it?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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?
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?
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 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?
Take it in turns to make a triangle on the pegboard. Can you block
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Sort the houses in my street into different groups. Can you do it in any other ways?