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. . . .
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. . . .
Can you discover whether this is a fair game?
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 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.
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.
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
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A collection of games on the NIM theme
A Sudoku with a twist.
Match the cards of the same value.
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
Can you be the first to complete a row of three?
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 beat the computer in the challenging strategy game?
Can you identify the mathematicians?
Given the products of diagonally opposite cells - can you complete this Sudoku?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A Sudoku with clues as ratios.
A Sudoku that uses transformations as supporting clues.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
Match pairs of cards so that they have equivalent ratios.
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
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.
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.
Two sudokus in one. Challenge yourself to make the necessary
Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with clues as ratios or fractions.
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.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.
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?
A Sudoku with clues given as sums of entries.
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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. . . .
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. . . .
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.