Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
A variant on the game Alquerque
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
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.
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?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
A card pairing game involving knowledge of simple ratio.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
A generic circular pegboard resource.
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!
Move just three of the circles so that the triangle faces in the
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Match the halves.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Using angular.js to bind inputs to outputs
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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.
Use the interactivities to complete these Venn diagrams.
Can you find just the right bubbles to hold your number?
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?
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Complete the squares - but be warned some are trickier than they
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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. . . .
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Sort the houses in my street into different groups. Can you do it in any other ways?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
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.
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?
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?
Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?
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....?
Work out the fractions to match the cards with the same amount of
Can you fit the tangram pieces into the outline of this shape. How would you describe it?