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?

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?

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

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Can you complete this jigsaw of the multiplication square?

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

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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.

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

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?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

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?

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

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

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.

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

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?

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

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?

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.

Can you hang weights in the right place to make the equaliser balance?

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?

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?

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

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

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

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

You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?

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

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

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!

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

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

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

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

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

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

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