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Learning objective

Determine the upper and lower bounds for measurements that have been rounded, such as identifying the upper bound of a length measured to the nearest metre. Additionally, calculate the upper and lower bounds for results derived from calculations that involve rounded data, including finding the upper bound of the perimeter or area of a rectangle with dimensions rounded to the nearest centimetre, and determining the lower bound of speed based on rounded distance and time values.

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended NumberSupplement content

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Quick explanation

Determine the upper and lower bounds for measurements that have been rounded, such as identifying the upper bound of a length measured to the nearest metre. Additionally, calculate the upper and lower bounds for results derived from calculations that involve rounded data, including finding the upper bound of the perimeter or area of a rectangle with dimensions rounded to the nearest centimetre, and determining the lower bound of speed based on rounded distance and time values

  • This point belongs to Limits of accuracy, especially Limits of accuracy outcomes.
  • You need to be able to determine the upper and lower bounds for measurements that have been rounded, such as identifying the upper bound of a length measured to the nearest metre. Additionally, calculate the upper and lower bounds for results derived from calculations that involve rounded data, including finding the upper bound of the perimeter or area of a rectangle with dimensions rounded to the nearest centimetre, and determining the lower bound of speed based on rounded distance and time values.
  • The key ideas to know are Calculate, Determine, and Give.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineGiveState

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Paper 2 structured question: Limits of accuracy

Paper 2Core or Extended Mathematics2 marks

Description

Bounds of a Rectangle

A rectangle has a length of 6 m and a width of 4 m, both measured to the nearest metre.

  1. a

    Calculate the upper bound of the area of the rectangle.

    Aim for approximately 2 distinct marking points.

    [2]
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