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193 problems, 4 games, 81 articles, 32 general resources, 3 interactive environments, 2 projects, 308 Lists, 187 from Stage 1, 282 from Stage 2, 178 from Stage 3, 127 from Stage 4, 56 from Stage 5

This interactivity allows you to sort logic blocks by dragging their images.

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

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.

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

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Can you each work out what shape you have part of on your card? What will the rest of it look like?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

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

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

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?

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

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

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

This problem explores the shapes and symmetries in some national flags.

If each of these three shapes has a value, can you find the totals of the combinations? Perhaps you can use the shapes to make the given totals?

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?

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

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

Here are shadows of some 3D shapes. What shapes could have made them?

Can you split each of the shapes below in half so that the two parts are exactly the same?

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?

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

I cut this square into two different shapes. What can you say about the relationship between them?

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

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

For this activity which explores capacity, you will need to collect some bottles and jars.