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?
Investigate how this pattern of squares continues. You could
measure lengths, areas and angles.
Can you work out the area of the inner square and give an
explanation of how you did it?
The hallway floor is rectangular in shape.
Its length and breadth are whole numbers of feet.
The hallway is tiled and each tile is one foot square.
Given that the number of tiles around the perimeter is EXACTLY
half the total number of tiles, find the possible dimensions of the
Now have a look in
Notes to see how this could be extended for work at Stages 2, 3