Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?

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

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

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

Use an interactive Excel spreadsheet to investigate factors and multiples.

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.

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

An Excel spreadsheet with an investigation.

Use Excel to practise adding and subtracting fractions.

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?

Use an Excel spreadsheet to explore long multiplication.

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

Cellular is an animation that helps you make geometric sequences composed of square cells.

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

Match pairs of cards so that they have equivalent ratios.

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

An environment that enables you to investigate tessellations of regular polygons

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

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

A collection of resources to support work on Factors and Multiples at Secondary level.

A metal puzzle which led to some mathematical questions.

Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.

A tool for generating random integers.

A collection of our favourite pictorial problems, one for each day of Advent.

Use Excel to explore multiplication of fractions.

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.

The classic vector racing game brought to a screen near you.

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

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. . . .

Can you beat the computer in the challenging strategy game?

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.

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.

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

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

Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?

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?

Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every 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?

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

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?

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

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?

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