AQA · Mathematics · 8300
GCSE Maths: Dimensional analysis
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Dimensional analysis (Corbettmaths Video 97), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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In dimensional analysis, if x and y represent lengths, what dimension does the expression x × y represent?
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Area (length²)
In dimensional analysis, if x, y, and z represent lengths, what dimension does the expression x × y × z represent?
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Volume (length³)
In dimensional analysis, if x and y are lengths, what dimension does x + y represent?
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Length. You can only add quantities with the same dimensions, and the result has that same dimension.
In dimensional analysis, can you add a length to an area (e.g., x + y²)?
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No. You can only add or subtract quantities with the same dimensions.
In dimensional analysis, if x and y are lengths, what dimension does x²y represent?
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Volume (length³)
In dimensional analysis, what is the purpose of checking dimensions in an expression?
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To determine whether the expression can represent a valid physical quantity (e.g., length, area, volume) or to check if an equation is dimensionally consistent.
In dimensional analysis, if x, y, and z are lengths, what dimension does xy + xz represent?
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Area (length²). Both terms have dimension length², and adding them preserves that dimension.
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