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.

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.

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

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

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

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

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?

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

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

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

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

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

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

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. . . .

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

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 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...

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?

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?

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

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

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. . . .

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?

A game for 2 people. Take turns joining two dots, until your opponent is unable to move.

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.

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.

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.

A Sudoku based on clues that give the differences between adjacent cells.

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.

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

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

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

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?

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

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

Why not challenge a friend to play this transformation game?

This sudoku requires you to have "double vision" - two Sudoku's for the price of one