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 players
To avoid losing think of another very well known game where the patterns of play are similar.
Can you discover whether this is a fair game?
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 moves.
A game for 2 players with similarities 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.
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 game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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.
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. . . .
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 collection of games on the NIM theme
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
Got It game for an adult and child. How can you play so that you know you will always win?
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Can you explain the strategy for winning this game with any target?
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 Sudoku with clues as ratios or fractions.
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.
This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Find a friend to play or try the interactive version online.
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 from Italy. Play with a friend and see if you can be the first to get five pieces in a line.
A Sudoku with a twist.
Can you beat the computer in the challenging strategy 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. . . .
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 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?
A game for two players based on a game from the Somali people of Africa. The first player to pick all the other's 'pumpkins' is the winner.
Try playing this game from New Zealand at the beach by drawing the board in the sand. Find an opponent and see if you can win by ending up with your shell in the centre space.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
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.
A Sudoku with a twist.
This Chinese game for two players is a simple version of Wei ch'i or Go. Each player has 20 distinctive pieces - try coins, pebbles, shells. You could try marking the board out in wet sand.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Here is a chance to play a version of the classic Countdown Game.
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
An ancient game for two from Egypt. You'll need twelve distinctive 'stones' each to play. You could chalk out the board on the ground - do ask permission first.
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
This game for two, was played in ancient Egypt as far back as 1400 BC. The game was taken by the Moors to Spain, where it is mentioned in 13th century manuscripts, and the Spanish name Alquerque. . . .
There are nasty versions of this dice game but we'll start with the nice ones...
A game for 2 or more people, based on the traditional card game Rummy.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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 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.