A collection of games on the NIM theme
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.
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.
Use your knowledge of place value to try to win this game. How will you maximise your score?
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 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.
Can you explain the strategy for winning this game with any target?
Can you discover whether this is a fair game?
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.
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?
Who said that adding couldn't be fun?
Got It game for an adult and child. How can you play so that you know you will always win?
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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.
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
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 number card game for 2-6 players.
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 Sudoku with clues as ratios.
Given the products of diagonally opposite cells - can you complete this Sudoku?
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
A Sudoku with a twist.
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.
A game in which players take it in turns to choose a number. Can you block your opponent?
Play this game and see if you can figure out the computer's chosen number.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
A Sudoku with a twist.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
How good are you at estimating angles?
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.
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?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
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. . . .
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 find the pairs that represent the same amount of money?
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
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 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.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.
Here are some more upper primary strategy games for you to play.
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...
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 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.
Here is a chance to play a version of the classic Countdown Game.
This article outlines how strategy games can help children develop logical thinking, using examples from the NRICH website.
A game for 2 or more people, based on the traditional card game Rummy.