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. . . .

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 different triangles can you make on a circular pegboard that has nine pegs?

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

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

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

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

Can you find all the different triangles on these peg boards, and find their angles?

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.

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?

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

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

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

Discs are flipped in the air. You win if all the faces show the same colour. 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?

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

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

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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

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

Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

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

Use Excel to explore multiplication of fractions.

Can you work out what is wrong with the cogs on a UK 2 pound coin?

An interactive activity for one to experiment with a tricky tessellation

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 shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

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

A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.

Can you beat the computer in the challenging strategy game?

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?

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

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

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?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

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?

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 use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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

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

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