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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?

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

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

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

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

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

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

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

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

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Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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

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

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

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

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

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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?

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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.

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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?

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

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

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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....?

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

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

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An environment that enables you to investigate tessellations of regular polygons

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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.

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

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

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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?

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

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

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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.

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

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

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

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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?

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

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These interactive dominoes can be dragged around the screen.

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

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

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

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

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

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

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In this game you are challenged to gain more columns of lily pads than your opponent.

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

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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.