Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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
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?
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.
An environment which simulates working with Cuisenaire rods.
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!
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.
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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 clues to colour each square.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
If you have only four weights, where could you place them in order
to balance this equaliser?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Here is a chance to play a version of the classic Countdown Game.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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 all the different right-angled
triangles you can make by just moving one corner of the starting
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?
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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?
Twenty four games for the run-up to Christmas.
Move just three of the circles so that the triangle faces in the
How many different triangles can you make on a circular pegboard
that has nine pegs?
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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 10 in the circles so that each number is the
difference between the two numbers just below it.
A generic circular pegboard resource.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Match the halves.
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....?
Choose a symbol to put into the number sentence.
Can you make a train the same length as Laura's but using three
differently coloured rods? Is there only one way of doing it?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?