GCSE · Rounding & bounds
Upper and lower boundsExam-style questions
Why a rounded value hides half a unit of uncertainty each way, why the upper bound is a strict "less than", how truncation differs, and how to pick the right bounds when calculating — the ÷ and − traps included.
23 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try
- 1A length is cm to the nearest centimetre. Write down the smallest possible length.Level 1 · 1 markTry it
- 2The height of a door is cm, correct to the nearest cm. Write down the upper bound of the height.Level 1 · 1 markTry it
- 3A bag of flour weighs kg to the nearest kg. Write down the error interval for the weight, kg.Level 2 · 2 marksTry it
- 4A number is to the nearest . Write down the largest and smallest values it could be, using inequalities.Level 2 · 2 marksTry it
- 5The length of a shelf is 45 cm, correct to the nearest centimetre.
(a) Write down the lower bound of the length.
(b) Write down the upper bound of the length.Level 3 · 2 marksTry it
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