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

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

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

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

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

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

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

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

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

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.

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.

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?

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

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

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

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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

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

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....?

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?

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

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

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

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

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

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?

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

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.

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

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

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

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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

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

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

These interactive dominoes can be dragged around the screen.

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

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

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

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

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.

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

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?