Foundation November 2021 Paper 3 Q18

OCRFoundationCurrent spec4 marksUpper & Lower Bounds

18 A carpenter measures the length, \(k\) metres, of a piece of wood.
They write

\[3.35 \leqslant k \lt 3.45\]
(a) Put rings around all possible values of \(k\) in the list below.\[3.349 \qquad 3.39 \qquad 3.44 \qquad 3.45 \qquad 3.55\]

[2]

(b) The carpenter says
\(3.35 \leqslant k \lt 3.45\) means that the length of the piece of wood is 3.4 metres correct to the nearest centimetre.
(i) Explain how you know that she is incorrect. [1]
(ii) Complete the interval for 3.4 m, correct to the nearest centimetre. \(3.395 \leqslant k \lt \ldots\ldots\) [1]