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Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Kissing Triangles

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Determine the total area of the two kissing triangles shaded red.


Is there more than one way of drawing the shape?