Area - squares and rectangles
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problemTiles on a patio
How many ways can you find of tiling the square patio, using square tiles of different sizes? -
problemPebbles
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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problemMy new patio
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes? -
problemMaking boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
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problemRope mat
How many centimetres of rope will I need to make another mat just like the one I have here? -
problemNumerically equal
Can you draw a square in which the perimeter is numerically equal to the area?
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problemInside seven squares
What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
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problemA square in a circle
What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area? -
problemMore transformations on a pegboard
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.