Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 14: Mixed practice

$12.5 \mathrm{cm}$ has been rounded to $3$ s.f, write down the upper and lower bounds

$21.7 \mathrm{cm}$ has been rounded to $3$ s.f, write down the upper and lower bounds

$35.8 \mathrm{cm}$ has been rounded to $3$ s.f, write down the upper and lower bounds

$52.1 \mathrm{cm}$ has been rounded to $3$ s.f, write down the upper and lower bounds

$80.4 \mathrm{cm}$ has been rounded to $3$ s.f, write down the upper and lower bounds

When the area of a rectangle is rounded to the nearest whole number, it becomes $40 {\mathrm{cm}}^2$. One side of the rectangle is $10 \mathrm{cm}$ (to the nearest $\mathrm{cm}$). Find the maximum and minimum length of the other could have (round of to one decimal place)

Tommo drove from Milan to Rome. The distance recorded in his car was $574 \mathrm{km}$, correct to nearest $\mathrm{km}$. He used $47.3 \mathrm{L}$ of petrol, to the nearest tenth of a litre. Calculate the upper bound for the petrol consumption in $\mathrm{km}$ per $\mathrm{L}$ for Tommo's journey. Give your answer to $2$ decimal places.

$X$ and $Y$ are continuous values, both measured to 2 significant figures

$X=120$ and $Y=350$

Calculate the greatest possible values of $\frac{Y}{X^2}$ (round off to two decimal place)