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 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?

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

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...

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 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.

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

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. . . .

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

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 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.

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

A game for 2 players. This could be played outside with people instead of counters. Try to trap or escape from your opponent.

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

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. . . .

Use the tangram pieces to make our pictures, or to design some of your own!

Can you make the birds from the egg tangram?

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 shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.

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

This article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.

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.

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...

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.

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first? Is this what you would expect?

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.

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

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.

A game for 2 players. Using 2 dice, some counters and a games board, can you form a line of counters from one side of the board to the other?

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.

Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.

This is a challenging game of strategy for two players with many interesting variations.

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 two stones.

Why not challenge a friend to play this transformation game?

Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?

Totality game for an adult and child. Be the first to reach your agreed total.

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

Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.

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.