Can you work out how to win this game of Nim? Does it matter if you go first or second?
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.
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 or more people, based on the traditional card game
Rummy. Players aim to make two `tricks', where each trick has to
consist of a picture of a shape, a name that describes that shape,
and. . . .
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 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?
In this article for teachers, Liz Woodham describes the criteria she uses to choose mathematical games for the classroom and shares some examples from NRICH.
This article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.
A game in which players take it in turns to try to draw
quadrilaterals (or triangles) with particular properties. Is it
possible to fill the game grid?
This article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.
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.
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
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
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. . . .
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
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 Sudoku with clues as ratios.
Two sudokus in one. Challenge yourself to make the necessary
Collect as many diamonds as you can by drawing three straight
A Sudoku that uses transformations as supporting clues.
A game that tests your understanding of remainders.
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
A game for two players on a large squared space.
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.
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 simple game of patience which often comes out. Can you explain
This is a challenging game of strategy for two players with many interesting variations.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with a twist.
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.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
A game for 2 players. Draw a daisy with at least 5 petals. Shade 1 or 2 petals next to each other. The winner shades the last petal.
A complicated game played on a 9 x 9 checkered grid.
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
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.
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.
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 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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. . . .
An ordinary set of dominoes can be laid out as a 7 by 4 magic
rectangle in which all the spots in all the columns add to 24,
while those in the rows add to 42. Try it! Now try the magic
Can you identify the mathematicians?
A collection of games on the NIM theme
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.