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 discover whether this is a fair game?
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.
To avoid losing think of another very well known game where the patterns of play are similar.
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.
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 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.
A collection of games on the NIM theme
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.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A game for 2 players
Match pairs of cards so that they have equivalent ratios.
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.
Match the cards of the same value.
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!
Can you be the first to complete a row of three?
Can you beat the computer in the challenging strategy game?
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 Sudoku with a twist.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A Sudoku with a twist.
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.
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. 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.
How good are you at estimating angles?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
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.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.
Use the tangram pieces to make our pictures, or to design some of your own!
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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 off again?
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
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. . . .
Can you explain the strategy for winning this game with any target?
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?
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.
Two sudokus in one. Challenge yourself to make the necessary connections.
A game to make and play based on the number line.
Collect as many diamonds as you can by drawing three straight lines.
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.
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 Sudoku with clues as ratios.
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. Given an arrangement of matchsticks, players take it is turns to remove a matchstick, along with all of the matchsticks that touch it.
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 simple game of patience which often comes out. Can you explain why?