Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

Use the interactivity or play this dice game yourself. How could you make it fair?

An interactive activity for one to experiment with a tricky tessellation

Use an interactive Excel spreadsheet to explore number in this exciting game!

Use Excel to investigate the effect of translations around a number grid.

Practise your tables skills and try to beat your previous best score in this interactive game.

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Use Excel to explore multiplication of fractions.

Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.

Use an Excel spreadsheet to explore long multiplication.

Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.

Can you beat the computer in the challenging strategy game?

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 two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

A train building game for two players. Can you be the one to complete the train?

Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.

An Excel spreadsheet with an investigation.

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

Use an interactive Excel spreadsheet to investigate factors and multiples.

Practise your number bonds whilst improving your memory in this matching pairs game.

Train game for an adult and child. Who will be the first to make the train?

Try out the lottery that is played in a far-away land. What is the chance of winning?

Use Excel to practise adding and subtracting fractions.

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?

Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

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?

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

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.

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.

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.

A game in which players take it in turns to choose a number. Can you block your opponent?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

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.

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?