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?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
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?
Find out what a "fault-free" rectangle is and try to make some of your own.
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.
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
What is the greatest number of squares you can make by overlapping three squares?
Here is a chance to play a version of the classic Countdown Game.
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
An animation that helps you understand the game of Nim.
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
An environment that enables you to investigate tessellations of regular polygons
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
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.
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
This activity challenges you to make collections of shapes. Can you give your collection a name?
Can you fit the tangram pieces into the outline of Granma T?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you logically construct these silhouettes using the tangram pieces?
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the chairs?
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?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?
Can you fit the tangram pieces into the outlines of the candle and sundial?
How good are you at estimating angles?
Can you use the interactive to complete the tangrams in the shape of butterflies?
Can you fit the tangram pieces into the outline of this plaque design?
Can you fit the tangram pieces into the outline of this sports car?