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MA07-04 Maths Coming soon

Bounds of a calculated result (Higher)

MA07-04

This lesson is coming soon.

In this lesson

Find the upper or lower bound of a calculated quantity (such as area, density or speed) built from two rounded measurements, by choosing the correct bound of each input for the operation involved.

What it covers

  • Finding the four bounds (upper and lower of each rounded input) before starting the calculation
  • Choosing the correct combination of bounds to maximise or minimise a calculated quantity, for addition, subtraction, multiplication and division
  • Compound-measure contexts: area, density, speed
  • Checking the final answer's precision matches what the question asked (e.g. stating that both bounds round to the same value)

Key words

For: Cambridge IGCSE 0580, Edexcel IGCSE 4MA1, OCR GCSE J560, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300

On the specification

BoardSpecStatement
Cambridge IGCSE 0580E1.10Give upper and lower bounds for data rounded to a specified accuracy.
Edexcel IGCSE 4MA1H1.8ASolve problems using upper and lower bounds where values are given to a degree of accuracy
OCR GCSE J5604.01cUse inequality notation to write down an error interval for a number or measurement rounded or truncated to a given degree of accuracy. Apply and interpret limits of accuracy.
AQA GCSE 8300N16Apply and interpret limits of accuracy
Edexcel GCSE 1MA1N16Apply and interpret limits of accuracy
Eduqas GCSE C300HN16Apply and interpret limits of accuracy, including upper and lower bounds
For teachers

This GCSE Maths lesson teaches bounds of a calculated result (Higher). By the end, students should be able to find the upper or lower bound of a calculated quantity (such as area, density or speed) built from two rounded measurements, by choosing the correct bound of each input for the operation involved. It works through three worked examples and the mistakes examiners report.