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?
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. . . .
This is a simple version of an ancient game played all over the world. It is also called Mancala. What tactics will increase your chances of winning?
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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.
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
A game for 2 players with similaritlies to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A game for 2 players
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
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
Square It game for an adult and child. Can you come up with a way of always winning this game?
Unmultiply is a game of quick estimation. You need to find two numbers that multiply together to something close to the given target - fast! 10 levels with a high scores table.
Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
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.
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.
Match pairs of cards so that they have equivalent ratios.
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 simple game of patience which often comes out. Can you explain
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.
A Sudoku with a twist.
A Sudoku with clues as ratios.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with. . . .
A collection of games on the NIM theme
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
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
A Sudoku based on clues that give the differences between adjacent cells.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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 Sudoku with clues given as sums of entries.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
This sudoku requires you to have "double vision" - two Sudoku's for
the price of one
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. . . .
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
A game that tests your understanding of remainders.
Match the cards of the same value.
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.
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
How good are you at estimating angles?
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 loser is the player who takes the last counter.
A Sudoku that uses transformations as supporting clues.
A game for 2 people. Take turns to move the counters 1, 2 or 3
spaces. The player to remove the last counter off the board wins.