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Always, Sometimes or Never? Shape

Age 7 to 11
Challenge Level


Are the following statements always true, sometimes true or never true?
How do you know?

Can you find examples or counter-examples for each one?

For the 'sometimes' cards can you explain when they are true? Or rewrite them so that they are always true or never true?

 

A hexagon has six equal length sides

 

 

Triangles have a line of symmetry

 

 

Squares have two diagonals that
meet at right angles

 

Cutting a corner off a square
makes a pentagon

 

The base of a pyramid is a square

 

A cuboid has two square faces

 
What about these more complex statements?

 

 

When you cut off a piece from
a 2D shape, you reduce the
area and perimeter

 

 

Triangles tessellate

 

 

The number of lines of symmetry
in a regular polygon is equal to the number of sides

 

Quadrilaterals can be cut into two equal triangles


You could cut out the cards from this sheet (wordpdf) and arrange them in this grid. Alternatively, you could use these interactivities to organise your thinking: