Sort the houses in my street into different groups. Can you do it in any other ways?
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?
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 your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
What happens when you try and fit the triomino pieces into these
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you cover the camel with these pieces?
How many different rhythms can you make by putting two drums on the
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Use the clues to colour each square.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
A variant on the game Alquerque
Can you find all the different ways of lining up these Cuisenaire
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?
A train building game for 2 players.
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 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?
Exchange the positions of the two sets of counters in the least possible number of moves
An interactive activity for one to experiment with a tricky tessellation
Use the interactivity or play this dice game yourself. How could
you make it fair?
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.
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 simulation of target archery practice
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Twenty four games for the run-up to Christmas.
How many different triangles can you make on a circular pegboard that has nine pegs?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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....?
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?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Move just three of the circles so that the triangle faces in the
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!
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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.
Complete the squares - but be warned some are trickier than they
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?