Challenge Level

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

Challenge Level

In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.

Challenge Level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

Challenge Level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

Challenge Level

How will you go about finding all the jigsaw pieces that have one peg and one hole?

Challenge Level

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Challenge Level

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

Challenge Level

Design an arrangement of display boards in the school hall which fits the requirements of different people.

Challenge Level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

Challenge Level

Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?

Challenge Level

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.

Challenge Level

What is the best way to shunt these carriages so that each train can continue its journey?

Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

This article looks at levels of geometric thinking and the types of activities required to develop this thinking.

Challenge Level

Can you find a way of counting the spheres in these arrangements?

Challenge Level

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Challenge Level

Think of a number, square it and subtract your starting number. Is the number youâ€™re left with odd or even? How do the images help to explain this?

Challenge Level

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

Challenge Level

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

Challenge Level

Find your way through the grid starting at 2 and following these operations. What number do you end on?

This game for two, was played in ancient Egypt as far back as 1400 BC. The game was taken by the Moors to Spain, where it is mentioned in 13th century manuscripts, and the Spanish name Alquerque. . . .

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

This article for teachers describes a project which explores the power of storytelling to convey concepts and ideas to children.

Challenge Level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

Challenge Level

A game for 2 people. Take turns joining two dots, until your opponent is unable to move.

Challenge Level

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

Challenge Level

Which of these dice are right-handed and which are left-handed?

Challenge Level

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.

Challenge Level

Can you fit the tangram pieces into the outlines of the convex shapes?

Challenge Level

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

Challenge Level

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

Challenge Level

Can you fit the tangram pieces into the outline of the house?

Challenge Level

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

Challenge Level

Can you logically construct these silhouettes using the tangram pieces?

Challenge Level

Can you fit the tangram pieces into the outline of the plaque design?

Challenge Level

Can you fit the tangram pieces into the silhouette of the junk?

Challenge Level

Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?

Challenge Level

Can you fit the tangram pieces into the outline of the playing piece?

Challenge Level

Can you fit the tangram pieces into the outline of the clock?

Challenge Level

Can you fit the tangram pieces into the outline of Granma T?

Challenge Level

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

Challenge Level

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

Challenge Level

Can you fit the tangram pieces into the outline of the dragon?

Challenge Level

Can you fit the tangram pieces into the outlines of Wai Ping, Wu Ming and Chi Wing?

Challenge Level

Read about the adventures of Granma T and her grandchildren in this series of stories, accompanied by interactive tangrams.

Challenge Level

Can you fit the tangram pieces into the outlines of the camel and giraffe?

Challenge Level

Have a look at these photos of different fruit. How many do you see? How did you count?