How many trains can you make which are the same length as Matt's, using rods that are identical?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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 find all the different ways of lining up these Cuisenaire
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?
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 triangles can you draw on the dotty grid which each have one dot in the middle?
Find out what a "fault-free" rectangle is and try to make some of
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?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How many different rhythms can you make by putting two drums on the
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?
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 clues to colour each square.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
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 put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Train game for an adult and child. Who will be the first to make the train?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Match the halves.
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?
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!
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Move just three of the circles so that the triangle faces in the
An odd version of tic tac toe
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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?
Can you find all the different triangles on these peg boards, and
find their angles?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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....?
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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?
Can you hang weights in the right place to make the equaliser
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you