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?
Find out what a "fault-free" rectangle is and try to make some of
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
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?
What happens when you try and fit the triomino pieces into these
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....?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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 cover the camel with these pieces?
Sort the houses in my street into different groups. Can you do it in any other ways?
How many different rhythms can you make by putting two drums on the
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Can you find all the different triangles on these peg boards, and
find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
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?
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 the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Use the clues to colour each square.
How many trains can you make which are the same length as Matt's, using rods that are identical?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you find all the different ways of lining up these Cuisenaire
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?
Exchange the positions of the two sets of counters in the least possible number of moves
Here is a chance to play a version of the classic Countdown Game.
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.