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Measurement bounds in calculations

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

Calculator allowed

A plan represents a straight length using an exact scale of 1:50. The plan length is recorded as 31 mm to the nearest 1 mm. Find bounds for the corresponding actual length in metres

Measurements are positive and rounded to the nearest stated unit, with halfway values rounded up. Model rounding uncertainty only; assume no calibration or method error

(a)1 mark

Find the lower bound for the actual length in metres. Give the exact decimal value

(b)1 mark

Find the strict upper bound for the actual length in metres. Give the exact decimal value. The upper bound is not an attainable maximum