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 triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
Can you find all the different ways of lining up these Cuisenaire
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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 different rhythms can you make by putting two drums on the
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Sort the houses in my street into different groups. Can you do it in any other ways?
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you complete this jigsaw of the multiplication square?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Use the clues to colour each square.
A variant on the game Alquerque
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?
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?
What happens when you try and fit the triomino pieces into these
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you cover the camel with these pieces?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
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.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you hang weights in the right place to make the equaliser
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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....?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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.
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?
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?
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?
An interactive activity for one to experiment with a tricky tessellation
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?