A collection of games on the NIM theme
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.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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.
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
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Match pairs of cards so that they have equivalent ratios.
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. . . .
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. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
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
A simple game of patience which often comes out. Can you explain
A Sudoku with a twist.
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Can you beat the computer in the challenging strategy game?
Match the cards of the same value.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Square It game for an adult and child. Can you come up with a way of always winning this game?
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.
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 number card game for 2-6 players.
A game for 2 players. Using 2 dice, some counters and a games board, can you form a line of counters from one side of the board to the other?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
The game uses a 3x3 square board. 2 players take turns to play,
either placing a red on an empty square, or changing a red to
orange, or orange to green. The player who forms 3 of 1 colour in a
line. . . .
A game for 1 person to develop stategy and shape and space awareness. 12 counters are placed on a board. Counters are removed one at a time. The aim is to be left with only 1 counter.
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
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.
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. . . .
This is a game for 2 players. Each player has 4 counters each, and
wins by blocking their opponent's counters. A good follow-on from
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
This is a challenging game of strategy for two players with many interesting variations.
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
Here are a collection of games from around the world to try during the holidays or the last few weeks of term.
Design your own scoring system and play Trumps with these Olympic Sport cards.
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
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
Who said that adding couldn't be fun?
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?
Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?
Totality game for an adult and child. Be the first to reach your agreed total.