Gillian Hatch analyses what goes on when mathematical games are
used as a pedagogic device.
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.
A mathematically themed crossword.
Follow-up to the February Game Rules of FEMTO.
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. . . .
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.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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
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.
Can you be the first to complete a row of three?
Can you beat the computer in the challenging strategy game?
Match the cards of the same value.
Match pairs of cards so that they have equivalent ratios.
A game for 2 players
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.
Some puzzles requiring no knowledge of knot theory, just a careful
inspection of the patterns. A glimpse of the classification of
knots and a little about prime knots, crossing numbers and. . . .
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Two sudokus in one. Challenge yourself to make the necessary
Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
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.
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?
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
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.
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
A Sudoku with a twist.
A Sudoku with clues as ratios.
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
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
1. LATE GRIN (2 solutions)
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.
Can you discover whether this is a fair game?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
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.
A collection of games on the NIM theme
A maths-based Football World Cup simulation for teachers and students to use.
A Sudoku with clues given as sums of entries.
A Sudoku based on clues that give the differences between adjacent cells.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
A Sudoku with clues as ratios or fractions.
A Sudoku that uses transformations as supporting clues.
To avoid losing think of another very well known game where the
patterns of play are similar.
A new card game for two players.
This article for teachers describes several games, found on the
site, all of which have a related structure that can be used to
develop the skills of strategic planning.
Can you identify the mathematicians?