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

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

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

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

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

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

Use the interactivity or play this dice game yourself. How could you make it fair?

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?

Try out the lottery that is played in a far-away land. What is the chance of winning?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.

An interactive activity for one to experiment with a tricky tessellation

Can you fit the tangram pieces into the outline of Little Ming?

A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?

Exchange the positions of the two sets of counters in the least possible number of moves

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

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.

Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.

How many different triangles can you make which consist of the centre point and two of the points on the edge? Can you work out each of their angles?

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.

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!

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

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

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.

NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.

What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?

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?

Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.

Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.

Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?

Here is a chance to play a version of the classic Countdown Game.

Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.

Work out how to light up the single light. What's the rule?