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Help your students prepare for their Maths GCSE with this free area worksheet of 44 questions and answers
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Area is the amount of space covered by a 2D shape and is measured in square units.
In the simplest cases area can be found by counting the centimetre squares covered by the shape. For the area of irregular shapes involving part-squares, a useful rule for estimating the area is to count all the part-squares which cover half or more of the square centimetres in the shape.Β
To work out the area of a rectangle, we use the formula length width. The formulae for the area of triangles and the area of parallelograms follow from this. The formula for the area of trapezoids or trapeziums involves adding together the parallel sides, multiplying by the height and dividing by two.
The area of rectilinear shapes (shapes with straight sides and right angles) can be found by splitting the shape into rectangles and finding the area of each one.Β
It is important to be confident working with decimals and fractions for this topic, in addition to integer lengths and dimensions. Students may also be asked to apply multiplication of fractions to the area of 2D shapes.Β
When tackling word problems, students are frequently asked to apply these skills to problems such as finding the area of a room or garden space, and then applying additional skills such as calculating a cost to cover or pave that space.
Students can often confuse the perimeter of rectangles and other shapes with finding the area of a rectangle or other shapes. One useful strategy could be to separate these topics in a scheme of work.
Looking forward, students can then progress to additionalΒ area worksheetsΒ and otherΒ geometry worksheets, for example anΒ angles in polygons worksheetΒ orΒ area andΒ circumference of a circle worksheet.
For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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