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 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?
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 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.
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.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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. . . .
Who said that adding couldn't be fun?
Match pairs of cards so that they have equivalent ratios.
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.
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.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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.
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 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.
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
A Sudoku with a twist.
Can you beat the computer in the challenging strategy game?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
How good are you at estimating angles?
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?
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
A Sudoku with a twist.
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
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 two stones.
Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A simple game of patience which often comes out. Can you explain why?
Totality game for an adult and child. Be the first to reach your agreed total.
Can you explain the strategy for winning this game with any target?
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 winning.
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
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.
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?
This is a challenging game of strategy for two players with many interesting variations.
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.
Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?
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. . . .
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
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.