NumberIntroduction

The Hidden Range

Part of Bounds & Error IntervalsGCSE Mathematics

This introduction covers The Hidden Range within Bounds & Error Intervals for GCSE Mathematics. Revise Bounds & Error Intervals in Number for GCSE Mathematics with 14 exam-style questions and 5 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 1 of 6 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 6

Practice

14 questions

Recall

5 flashcards

The Hidden Range

If someone says they're "180 cm tall" (to nearest cm), they could actually be anywhere from 179.5 cm to 180.5 cm! When a value is rounded, there's always a hidden range of possible values - that's what bounds are about. This matters in engineering where precision is critical.
Bounds and accuracy diagram

Keep building this topic

Read this section alongside the surrounding pages in Bounds & Error Intervals. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Bounds & Error Intervals

A length is 240 cm to the nearest 10 cm. What is the lower bound of the length?

  • A. 230 cm
  • B. 235 cm
  • C. 239 cm
  • D. 245 cm
1 markfoundation

A mass m is 45 kg to the nearest kilogram. Write down the error interval for m using inequality notation.

2 marksfoundation

Quick Recall Flashcards

Max of A ÷ B
Max = UB(A) ÷ LB(B). Big top, small bottom = big answer
Rationalising
Remove surd from denominator: 1/√2 = √2/2

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