Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
How many different rhythms can you make by putting two drums on the
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Use the clues to colour each square.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
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
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
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 cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Match the halves.
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
A generic circular pegboard resource.
Work out the fractions to match the cards with the same amount of
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
A card pairing game involving knowledge of simple ratio.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
An odd version of tic tac toe
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....?
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?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
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?
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. . . .
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An interactive activity for one to experiment with a tricky tessellation
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
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.
An interactive game to be played on your own or with friends.
Imagine you are having a party. Each person takes it in turns to
stand behind the chair where they will get the most chocolate.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Move just three of the circles so that the triangle faces in the
Complete the squares - but be warned some are trickier than they
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.