Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
What happens when you try and fit the triomino pieces into these
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
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 clues to colour each square.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you cover the camel with these pieces?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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!
An interactive activity for one to experiment with a tricky tessellation
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?
Move just three of the circles so that the triangle faces in the
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 everybody knows. You can play with a
friend or online. If you play correctly you never lose!
A generic circular pegboard resource.
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
How many different rhythms can you make by putting two drums on the
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Twenty four games for the run-up to Christmas.
A train building game for 2 players.
Can you find all the different ways of lining up these Cuisenaire
Complete the squares - but be warned some are trickier than they
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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.
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.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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....?
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?
Match the halves.
Work out the fractions to match the cards with the same amount of
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 variant on the game Alquerque