Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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.
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?
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 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...
Can you identify the mathematicians?
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 is a simple version of an ancient game played all over the world. It is also called Mancala. What tactics will increase your chances of winning?
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
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!
A game for 2 players
The game of go has a simple mechanism. This discussion of the principle of two eyes in go has shown that the game does not depend on equally clear-cut concepts.
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. . . .
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.
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 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.
Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.
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.
A game for 2 people. Take turns to move the counters 1, 2 or 3 spaces. The player to remove the last counter off the board wins.
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?
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Investigations based on an Indian game.
Follow-up to the February Game Rules of FEMTO.
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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. . . .
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. Given an arrangement of matchsticks, players take it is turns to remove a matchstick, along with all of the matchsticks that touch it.
A Sudoku with a twist.
A Sudoku based on clues that give the differences between adjacent cells.
How good are you at estimating angles?
Two sudokus in one. Challenge yourself to make the necessary connections.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
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.
A game to make and play based on the number line.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
A Sudoku with clues as ratios.
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.
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.
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 simple game of patience which often comes out. Can you explain why?
A Sudoku with clues given as sums of entries.
A collection of games on the NIM theme
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.
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.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Given the products of diagonally opposite cells - can you complete this Sudoku?