Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.

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?

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

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

Find out what a "fault-free" rectangle is and try to make some of your own.

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?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!

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

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

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?

Make one big triangle so the numbers that touch on the small triangles add to 10.

These interactive dominoes can be dragged around the screen.

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?

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

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

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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?

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

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

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

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?

Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?

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

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.

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.

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

An environment that enables you to investigate tessellations of regular polygons

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

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

How many right angles can you make using two sticks?

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?

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?

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

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

Work out the fractions to match the cards with the same amount of money.

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....?

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

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

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

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.

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.

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

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?