Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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

A simple game of patience which often comes out. Can you explain why?

A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and. . . .

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.

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

There are nasty versions of this dice game but we'll start with the nice ones...

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

A game for 2 players. Given an arrangement of matchsticks, players take it is turns to remove a matchstick, along with all of the matchsticks that touch it.

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Can you work out how to win this game of Nim? Does it matter if you go first or second?

Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?

A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.

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.

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

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

Given the products of diagonally opposite cells - can you complete this Sudoku?

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Why not challenge a friend to play this transformation game?

Practise your diamond mining skills and your x,y coordination in this homage to Pacman.

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in. . . .

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory

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

A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

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.

Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .

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 simple game for 2 players invented by John Conway. It is played on a 3x3 square board with 9 counters that are black on one side and white on the other.

An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.

This article explains the use of the idea of connectedness in networks, in two different ways, to bring into focus the basics of the game of Go, namely capture and territory.

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.

Collect as many diamonds as you can by drawing three straight lines.

Two sudokus in one. Challenge yourself to make the necessary connections.

Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.

Use the tangram pieces to make our pictures, or to design some of your own!

Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.

The computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?

We think this 3x3 version of the game is often harder than the 5x5 version. Do you agree? If so, why do you think that might be?

Two sudokus in one. Challenge yourself to make the necessary connections.

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

A game to make and play based on the number line.

Here is a solitaire type environment for you to experiment with. Which targets can you reach?

This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?