Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
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 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
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.
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...
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?
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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.
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!
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.
Can you identify the mathematicians?
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.
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 new card game for two players.
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
Two sudokus in one. Challenge yourself to make the necessary
A Sudoku that uses transformations as supporting clues.
A Sudoku with clues as ratios.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with a twist.
Follow-up to the February Game Rules of FEMTO.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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.
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 second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
This sudoku requires you to have "double vision" - two Sudoku's for
the price of one
Can you work out how to win this game of Nim? Does it matter if you go first or second?
A Sudoku with clues given as sums of entries.
A Sudoku based on clues that give the differences between adjacent cells.
A Sudoku with clues as ratios or fractions.
A game for 2 players
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.
Investigations based on an Indian game.
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
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. . . .
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
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
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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.
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 1 person to play on screen. Practise your number bonds
whilst improving your memory