List

Properties of Shapes

Let's Investigate Triangles
problem
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Let's Investigate Triangles

Age
5 to 7
Challenge level
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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?

Building with Solid Shapes
problem
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Building with Solid Shapes

Age
5 to 7
Challenge level
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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?

Matching Triangles
problem
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Matching Triangles

Age
5 to 7
Challenge level
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Can you sort these triangles into three different families and explain how you did it?

Inside Triangles
problem
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Inside Triangles

Age
5 to 7
Challenge level
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How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Triple Cubes
problem
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Triple Cubes

Age
5 to 11
Challenge level
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This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Poly Plug Rectangles
problem
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Poly Plug Rectangles

Age
5 to 11
Challenge level
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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?
Data shapes
problem
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Data shapes

Age
5 to 7
Challenge level
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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?

Paper Patchwork 1
problem
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Paper Patchwork 1

Age
5 to 7
Challenge level
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Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Paper Patchwork 2
problem
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Paper Patchwork 2

Age
5 to 7
Challenge level
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Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Paper Partners
problem
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Paper Partners

Age
5 to 7
Challenge level
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Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Colouring Triangles
problem
Favourite

Colouring Triangles

Age
5 to 7
Challenge level
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Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Chain of Changes
problem
Favourite

Chain of Changes

Age
5 to 7
Challenge level
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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?

Skeleton Shapes
problem
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Skeleton Shapes

Age
5 to 7
Challenge level
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How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

School fair necklaces
problem
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School fair necklaces

Age
5 to 11
Challenge level
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How many possible symmetrical necklaces can you find? How do you know you've found them all?
Cubes Cut into Four Pieces
problem
Favourite

Cubes Cut into Four Pieces

Age
5 to 7
Challenge level
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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?
Shadow Play
problem
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Shadow Play

Age
5 to 7
Challenge level
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Here are shadows of some 3D shapes. What shapes could have made them?

Complete the Square
problem
Favourite

Complete the Square

Age
5 to 7
Challenge level
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Complete the squares - but be warned some are trickier than they look!