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How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

Triangular Tantaliser

Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.

Overlap

A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the blue square.

Hex

Age 11 to 14 Challenge Level:

Hexagon.

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

 

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