Area - squares and rectangles

There are 90 NRICH Mathematical resources connected to Area - squares and rectangles
Torn Shapes
problem

Torn Shapes

Age
7 to 11
Challenge level
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These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Sizing them Up
problem

Sizing them Up

Age
5 to 7
Challenge level
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Can you put these shapes in order of size? Start with the smallest.
More Transformations on a Pegboard
problem

More Transformations on a Pegboard

Age
7 to 11
Challenge level
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Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Warmsnug Double Glazing
problem

Warmsnug Double Glazing

Age
14 to 16
Challenge level
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How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Semicircle Stack
problem

Semicircle Stack

Age
14 to 16
Challenge level
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What is the total area enclosed by the three semicicles?
Guillotine
problem

Guillotine

Age
11 to 14
Challenge level
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Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?
Flower Show
problem

Flower Show

Age
14 to 16
Challenge level
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How long will it take six gardeners to dig six circular flower beds?
Sticky Tape
problem

Sticky Tape

Age
14 to 16
Challenge level
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Work out the radius of a roll of adhesive tape.
Trig Rules OK
problem

Trig Rules OK

Age
16 to 18
Challenge level
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Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...
Televisual Technology
problem

Televisual Technology

Age
14 to 16
Challenge level
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If a new and an old television have screens of the same area, what is the ratio of their widths?