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

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.

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

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

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

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

What shaped overlaps can you make with two circles which are the same size?

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

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

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

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

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?

A game in which players take it in turns to choose a number. Can you block your opponent?

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

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

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....?

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

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

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?

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.

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

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

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

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.

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.

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

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

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.

These interactive dominoes can be dragged around the screen.

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

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.

A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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?

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

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

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?

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

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

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?