Gillian Hatch analyses what goes on when mathematical games are
used as a pedagogic device.
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 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.
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.
A collection of games on the NIM theme
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A mathematically themed crossword.
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.
A game for 2 players
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?
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. . . .
Match the cards of the same value.
Follow-up to the February Game Rules of FEMTO.
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 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.
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
Match pairs of cards so that they have equivalent ratios.
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.
Two sudokus in one. Challenge yourself to make the necessary
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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
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?
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.
A Sudoku with a twist.
Can you beat the computer in the challenging strategy game?
A Sudoku with clues as ratios.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic 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
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.
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
1. LATE GRIN (2 solutions)
Can you discover whether this is a fair game?
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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 maths-based Football World Cup simulation for teachers and students to use.
A Sudoku with clues given as sums of entries.
A game in which players take it in turns to choose a number. Can you block your opponent?
How good are you at estimating angles?
A Sudoku based on clues that give the differences between adjacent cells.
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.
To avoid losing think of another very well known game where the
patterns of play are similar.