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.

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 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.

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

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

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.

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

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

Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

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

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

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

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

Move just three of the circles so that the triangle faces in the opposite direction.

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

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?

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.

Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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

Train game for an adult and child. Who will be the first to make the train?

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

An interactive activity for one to experiment with a tricky tessellation

Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?

Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?

Can you complete this jigsaw of the multiplication square?

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

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Find out what a "fault-free" rectangle is and try to make some of your own.

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. . . .

If you have only four weights, where could you place them in order to balance this equaliser?

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

How many trains can you make which are the same length as Matt's, using rods that are identical?

Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!

Stop the Clock game for an adult and child. How can you make sure you always win this game?

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

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