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

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

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

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.

What is the greatest number of squares you can make by overlapping three squares?

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

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.

How many different triangles can you make on a circular pegboard that has nine pegs?

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

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

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

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

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

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

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?

Can you find all the different triangles on these peg boards, and find their angles?

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

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?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Sort the houses in my street into different groups. Can you do it in any other ways?

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

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

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

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

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

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

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

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.

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

These interactive dominoes can be dragged around the screen.

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

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?

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....?

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?

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?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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.