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

These interactive dominoes can be dragged around the screen.

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

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?

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

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?

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?

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.

Practise your tables skills and try to beat your previous best score in this interactive game.

Practise your number bonds whilst improving your memory in this matching pairs game.

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

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....?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

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

A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.

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

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

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Calculate the fractional amounts of money to match pairs of cards with the same value.

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

A train building game for two players. Can you be the one to complete the train?

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?

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

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

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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

An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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.

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

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

Board Block game for two. Can you stop your partner from being able to make a shape on the board?

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?