Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
A game to make and play based on the number line.
Use the tangram pieces to make our pictures, or to design some of your own!
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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 second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
A Sudoku with clues as ratios.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A Sudoku that uses transformations as supporting clues.
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 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
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
To avoid losing think of another very well known game where the patterns of play are similar.
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.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with clues given as sums of entries.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
Two sudokus in one. Challenge yourself to make the necessary connections.
A Sudoku based on clues that give the differences between adjacent cells.
Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.
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. . . .
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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 pairs of cards so that they have equivalent ratios.
Can you be the first to complete a row of three?
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?
Match the cards of the same value.
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 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 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.
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.
Can you beat the computer in the challenging strategy game?
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
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.
Follow-up to the February Game Rules of FEMTO.
A Sudoku with a twist.
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. . . .
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
This article shows how abstract thinking and a little number theory throw light on the scoring in the game Go.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
A Sudoku with clues as ratios or fractions.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Given the products of diagonally opposite cells - can you complete this Sudoku?
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 people. Take turns to move the counters 1, 2 or 3 spaces. The player to remove the last counter off the board wins.
A game in which players take it in turns to choose a number. Can you block your opponent?
How good are you at estimating angles?