Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
What happens when you try and fit the triomino pieces into these
Can you cover the camel with these pieces?
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?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Use the clues to colour each square.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
How many different rhythms can you make by putting two drums on the
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Sort the houses in my street into different groups. Can you do it in any other ways?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Complete the squares - but be warned some are trickier than they
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?
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....?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
An odd version of tic tac toe
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Match the halves.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you find all the different ways of lining up these Cuisenaire
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!
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
How many different triangles can you make on a circular pegboard that has nine pegs?
Move just three of the circles so that the triangle faces in the
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
Twenty four games for the run-up to Christmas.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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 information about Sally and her brother to find out how many children there are in the Brown family.
An interactive activity for one to experiment with a tricky tessellation
Exchange the positions of the two sets of counters in the least possible number of moves
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!