This activity challenges you to make collections of shapes. Can you give your collection a name?

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 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.

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

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Complete the squares - but be warned some are trickier than they look!

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?

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

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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

Use the interactivity to sort these numbers into sets. Can you give each set a name?

If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?

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?

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.

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

Can you put these shapes in order of size? Start with the smallest.

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

Can you fit the tangram pieces into the outline of Little Fung at the table?

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.

Can you fit the tangram pieces into the outlines of the chairs?

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?

Can you fit the tangram pieces into the outlines of these clocks?

Can you fit the tangram pieces into the outlines of these people?

Can you fit the tangram pieces into the outline of the child walking home from school?

Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

Exchange the positions of the two sets of counters in the least possible number of moves

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?

How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.

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?

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?

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?

Work out how to light up the single light. What's the rule?

An interactive activity for one to experiment with a tricky tessellation

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.

A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.

A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.

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

How many different rhythms can you make by putting two drums on the wheel?

Can you fit the tangram pieces into the outline of this telephone?

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

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