Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
Use the clues to colour each square.
What happens when you try and fit the triomino pieces into these
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.
How many different rhythms can you make by putting two drums on the
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Can you cover the camel with these pieces?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
An interactive activity for one to experiment with a tricky tessellation
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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?
Using angular.js to bind inputs to outputs
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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 train building game for 2 players.
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.
An odd version of tic tac toe
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Twenty four games for the run-up to Christmas.
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
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. . . .
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
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?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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?
Train game for an adult and child. Who will be the first to make the train?
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.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Complete the squares - but be warned some are trickier than they
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Move just three of the circles so that the triangle faces in the
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....?