An environment which simulates working with Cuisenaire rods.
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
How many trains can you make which are the same length as Matt's and Katie'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?
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?
Can you cover the camel with these pieces?
Move just three of the circles so that the triangle faces in the opposite direction.
Use the clues to colour each square.
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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 right angles can you make using two sticks?
A train building game for two players. Can you be the one to complete the train?
An animation that helps you understand the game of Nim.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
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 article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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 work out how to balance this equaliser? You can put more than one weight on a hook.
Work out the fractions to match the cards with the same amount of money.
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
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?
Match the halves.
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 game in which players take it in turns to choose a number. Can you block your opponent?
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.
Train game for an adult and child. Who will be the first to make the train?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
How good are you at estimating angles?
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 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?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Try out the lottery that is played in a far-away land. What is the chance of winning?
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 in them?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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?
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?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
This activity challenges you to make collections of shapes. Can you give your collection a name?
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?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.