Mathematics 4024 · O Level
Limits of accuracy
41 practice questions on Limits of accuracy, with worked solutions and instant marking.
To 6 decimal places, $\sqrt{10}=3.162278$, whereas $3\frac{1}{6}=3.166667$.
May/June 2015
An aircraft departs at $22\,35$ for a flight lasting $3$ hours and $50$ minutes. Find the time of arrival.
May/June 2016
Anil has a batch of sweets with a mass of $600\text{ g}$, rounded to the nearest $10$ grams.
May/June 2016
Write $248.367$ rounded to $2$ decimal places.
May/June 2017
A car is moving at $84\text{ km/h}$. Calculate how many metres the car covers in one minute.
May/June 2017
Using each number rounded correctly to one significant figure, estimate the value of $\frac{58.7 \times 4.08}{19.7^3}$.
May/June 2017
A thermometer reads temperature to the closest degree. The temperature outside is recorded as $-8^\circ\text{C}$.
May/June 2017
By rewriting each number correct to $2$ significant figures, calculate an estimate of $\frac{596\times\sqrt{16.12}}{0.2984}$.
May/June 2018
A rectangle has a length of $64\text{ mm}$ and a width of $37\text{ mm}$, with both measurements given correct to the nearest millimetre. Write down the lower bound for the length.
May/June 2018
The mass of a car is $2400\text{ kg}$, rounded to the nearest hundred kilograms. The mass of a caravan is $1460\text{ kg}$, rounded to the nearest ten kilograms.
May/June 2021
A path length is recorded as $62\text{ m}$, correct to the nearest metre. State the upper bound for the length of the path.
May/June 2021
Write $64\,785\,491$ rounded to the nearest million.
May/June 2021
State the value of the digit 5 in the number 253624.
May/June 2022
Using each number correct to $1$ significant figure, estimate the value of $\dfrac{0.28\times37.4}{77.8}$.
May/June 2022
Give $0.00203561$ correct to $3$ significant figures.
May/June 2022
The temperature inside Luke’s house is $18^{\circ}\text{C}$. The temperature outside his house is $-3^{\circ}\text{C}$. Find the difference between these temperatures.
May/June 2022
The number of spectators at a cricket match is $36000$, rounded to the nearest thousand.
May/June 2023
In the Trio Challenge, Sophia first walks, then cycles, and finally swims.
May/June 2023
The mass of a bag of almonds is $125\text{ g}$ when rounded to the nearest gram. Write down the lower bound for the mass of the bag of almonds.
May/June 2024
Zara travels a distance of $500\text{ m}$, correct to the nearest $5\text{ m}$. The journey lasts $24.7\text{ s}$, correct to the nearest $0.1\text{ s}$.
May/June 2025
State $4.2358$ correct to $2$ decimal places.
May/June 2025
A rectangle has a width of $5.4\text{ cm}$, rounded to the nearest $0.1\text{ cm}$.
May/June 2025
An empty box is given a mass of 0.8 kg, rounded to the nearest 0.1 kg.
Oct/Nov 2015
Write $30\,682$ rounded to three significant figures.
Oct/Nov 2015
Write $357.864$ rounded to $2$ significant figures.
Oct/Nov 2016
A box has mass $1.7\text{ kg}$, rounded to the nearest $0.1\text{ kg}$.
Oct/Nov 2016
The rectangle's area is stated as $8\text{ cm}^2$, rounded to the nearest $\text{cm}^2$.
Oct/Nov 2017
Use 2 significant figures for each number, then estimate the value of $\dfrac{1212.3}{299.35 \times \sqrt{24.73}}$.
Oct/Nov 2018
A movie runs for 1 hour 48 minutes and ends at 10.15 pm. Determine its starting time.
Oct/Nov 2019
Neema is going on a business trip.
Oct/Nov 2019
Write $3456.789$ to the nearest $100$.
Oct/Nov 2020
Estimate the value of $$\frac{6013 \times 0.0405}{\sqrt{8.986}}$$ by first writing each number to $1$ significant figure.
Oct/Nov 2020
Estimate the value of $\dfrac{58.24}{32.5 \times 0.126}$ by first rounding every number to $1$ significant figure.
Oct/Nov 2021
A cuboid has dimensions $6.2$ cm by $4.8$ cm by $2.5$ cm. Each dimension is stated correct to the nearest millimetre. Calculate the upper bound of the cuboid's surface area.
Oct/Nov 2021
Write $306.248$ to $2$ decimal places.
Oct/Nov 2022
Estimate the value of $\dfrac{53.7}{2.61 + 7.48}$ by first writing each number correct to $1$ significant figure.
Oct/Nov 2023
A rectangle measures $32$ cm in length and $15$ cm in width. Both measurements are stated correct to the nearest centimetre.
Oct/Nov 2024
Write $43.07862$ correct to $3$ decimal places.
Oct/Nov 2024
Petra is thinking of a number. It is a multiple of 7. Petra states: If I write my number to the nearest ten, the result is 30.
Oct/Nov 2025
A car covers 320 km, rounded to the nearest 10 kilometres. The trip lasts 5.2 hours, rounded to the nearest 0.1 hour.
Oct/Nov 2025
The mass of a bag of potatoes is 2.5 kg, stated to the nearest 0.1 kg.
Oct/Nov 2025