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

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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. . . .

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

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

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

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

Calculate the fractional amounts of money to match pairs of cards with the same value.

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?

Can you beat the computer in the challenging strategy game?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Can you explain the strategy for winning this game with any target?

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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

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

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

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?

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.

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

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

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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

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.

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.

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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....?

Can you find the pairs that represent the same amount of money?

Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?

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 investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

What is the greatest number of squares you can make by overlapping three squares?

These interactive dominoes can be dragged around the screen.

Here is a chance to play a version of the classic Countdown Game.

Here is a chance to play a fractions version of the classic Countdown Game.

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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

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

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?

Use Excel to explore multiplication of fractions.

A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?