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...

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?

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 that tests your understanding of remainders.

A simple game of patience which often comes out. Can you explain why?

There are nasty versions of this dice game but we'll start with the nice ones...

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory

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?

Why not challenge a friend to play this transformation game?

A game in which players take it in turns to choose a number. Can you block your opponent?

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

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.

Practise your diamond mining skills and your x,y coordination in this homage to Pacman.

Collect as many diamonds as you can by drawing three straight lines.

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 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.

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?

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.

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.

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.

Two sudokus in one. Challenge yourself to make the necessary connections.

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.

A Sudoku based on clues that give the differences between adjacent cells.

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.

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 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.

Can you explain the strategy for winning this game with any target?

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.

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 square...

This sudoku requires you to have "double vision" - two Sudoku's for the price of one

A game to make and play based on the number line.

Here is a solitaire type environment for you to experiment with. Which targets can you reach?

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.

Can you work out how to win this game of Nim? Does it matter if you go first or second?

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. . . .

Two sudokus in one. Challenge yourself to make the necessary connections.

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?