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

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.

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

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

Play this game and see if you can figure out the computer's chosen number.

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?

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

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

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 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. . . .

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

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

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

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?

Nim-7 game for an adult and child. Who will be the one to take the last counter?

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.

The game of go has a simple mechanism. This discussion of the principle of two eyes in go has shown that the game does not depend on equally clear-cut concepts.

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.

Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?

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

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.

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. . . .

Got It game for an adult and child. How can you play so that you know you will always win?

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

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

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

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?

A game for 2 players. Take turns to place a counter so that it occupies one of the lowest possible positions in the grid. The first player to complete a line of 4 wins.

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.

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?

Match pairs of cards so that they have equivalent ratios.

Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.

This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.

This article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.

A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.