An environment which simulates working with Cuisenaire rods.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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?
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....?
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?
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 make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
What happens when you try and fit the triomino pieces into these two grids?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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?
Try out the lottery that is played in a far-away land. What is the chance of winning?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Can you find all the different triangles on these peg boards, and find their angles?
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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Train game for an adult and child. Who will be the first to make the train?
Work out the fractions to match the cards with the same amount of money.
Move just three of the circles so that the triangle faces in the opposite direction.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Sort the houses in my street into different groups. Can you do it in any other ways?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?