Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
A game that tests your understanding of remainders.
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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. . . .
This sudoku requires you to have "double vision" - two Sudoku's for
the price of one
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
A Sudoku that uses transformations as supporting clues.
Two sudokus in one. Challenge yourself to make the necessary
Given the products of diagonally opposite cells - can you complete this Sudoku?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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?
A Sudoku based on clues that give the differences between adjacent cells.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with clues as ratios.
Follow-up to the February Game Rules of FEMTO.
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.
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.
A Sudoku with a twist.
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 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.
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 new card game for two players.
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.
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
Investigations based on an Indian game.
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 simple game of patience which often comes out. Can you explain
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
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.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?
A Sudoku with clues as ratios or fractions.
Why not challenge a friend to play this transformation game?
A Sudoku with clues given as sums of entries.
There are nasty versions of this dice game but we'll start with the nice ones...
Who said that adding, subtracting, multiplying and dividing
couldn't be fun?
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
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
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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.