AQA · Mathematics · 8300
GCSE Maths: Limits of accuracy: applying
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Limits of accuracy: applying (Corbettmaths Video 184), 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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When calculating the minimum total length of multiple identical items measured to nearest cm, what value should you use for each item?
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The lower bound (minimum possible length) of each item.
When calculating the maximum total length of multiple identical items measured to nearest cm, what value should you use for each item?
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The upper bound (maximum possible length) of each item.
For maximum area of a rectangle with rounded measurements, should you use upper or lower bounds of length and width?
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Upper bounds of both length and width.
For minimum area of a rectangle with rounded measurements, should you use upper or lower bounds of length and width?
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Lower bounds of both length and width.
When finding the minimum possible difference between two times, which bounds should you use for the larger and smaller times?
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Lower bound for the larger time and upper bound for the smaller time (to make the difference as small as possible).
When finding the lowest possible number of glasses to fill from juice with rounded measurements, which bounds should you use for juice volume and glass capacity?
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Lower bound for juice volume and upper bound for glass capacity (to minimize the number of glasses needed).
For the lower bound of a perimeter with rounded measurements, should you use upper or lower bounds of the side lengths?
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Lower bounds of all side lengths.
When calculating greatest possible range of a data set with rounded values, which bounds should you use for maximum and minimum values?
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Upper bound of the largest value and lower bound of the smallest value.
When calculating the smallest possible mean of rounded values, should you use upper or lower bounds?
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Lower bounds of all values (to minimize the sum and thus the mean).
To check if a shelf can safely hold items with rounded masses, should you use upper or lower bounds for the item masses?
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Upper bounds (to ensure it can hold the maximum possible total mass).
What is the upper bound for a measurement of 74 metres to the nearest metre?
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74.5 metres
What is the upper bound for a measurement of 115 metres to the nearest 5 metres?
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117.5 metres
What is the lower bound for a measurement of 18 cm to the nearest centimetre?
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17.5 cm
What is the lower bound for a measurement of 50 cm to 2 significant figures?
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45 cm
To calculate the upper bound for speed (distance ÷ time), which bounds should you use?
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Use the upper bound of distance divided by the lower bound of time.
To calculate the lower bound for speed (distance ÷ time), which bounds should you use?
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Use the lower bound of distance divided by the upper bound of time.
For the formula v = u + at, to find the lower bound of v, which bounds should you use for each variable?
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Use the lower bounds of u, a, and t (since all terms are added or multiplied positively).
For the formula A = πrl, to find the upper bound of l given A and r, which bounds should you use?
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Use the upper bound of A divided by the lower bound of r (since l = A/(πr)).
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