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

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

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

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

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

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?

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?

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

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

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.

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?

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

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.

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

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

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.

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

An interactive activity for one to experiment with a tricky tessellation

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

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?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

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. . . .

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

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

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

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!

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?

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.

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

Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?

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

Complete the squares - but be warned some are trickier than they look!

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

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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

Use the interactivities to complete these Venn diagrams.

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

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

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

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.