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?
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 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?
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.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
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.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Got It game for an adult and child. How can you play so that you know you will always win?
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.
Can you explain the strategy for winning this game with any target?
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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 collection of games on the NIM theme
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.
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. . . .
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. . . .
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...
Can you beat the computer in the challenging strategy game?
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!
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.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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 from Italy. Play with a friend and see if you can be the first to get five pieces in a line.
Given the products of diagonally opposite cells - can you complete 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 Sudoku with a twist.
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
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?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
How good are you at estimating angles?
A Sudoku based on clues that give the differences between adjacent cells.
A Sudoku with a twist.
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.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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.
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.
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 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. . . .
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
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 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. . . .
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?