Properties of shapes

Can you sort these triangles into three different families and explain how you did it?

How many different triangles can you draw which each have one dot in the middle?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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?

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?

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?

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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?

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

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

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?

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

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

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?