Mathematics 0580 · IGCSE
Limits of accuracy
100 practice questions on Limits of accuracy, with worked solutions and instant marking.
The rectangle has a length of 9.3 cm, accurate to 1 decimal place, and a width of 7.7 cm, also accurate to 1 decimal place.
Feb/March 2017
The garden’s length, $l$ metres, is 78.5 metres when rounded to the nearest half metre.
Feb/March 2018
Give $6.8167$ correct to $3$ significant figures.
Feb/March 2018
Express 0.046875 to 2 significant figures.
Feb/March 2019
Write $0.046875$ rounded to $2$ significant figures.
Feb/March 2019
A car moves at a steady speed. It covers 146.2 m, accurate to 1 decimal place. The journey lasts 7 seconds, accurate to the nearest second.
Feb/March 2020
Explain why Rahul cannot be certain that Tanvi rounded 4896 correct to the nearest 100.
Feb/March 2021
Calculate the lower bound for the total mass of 10 of these bags.
Feb/March 2021
A family travel to America for a skiing holiday.
Feb/March 2021
The mass, $m$ kg, of a bag of sand is given as $12$ kg to the nearest kilogram.
Feb/March 2023
Give $56.17345$ correct to $1$ decimal place.
Feb/March 2023
A car covers 14 km, measured to the nearest kilometre. The journey lasts 12 minutes, measured to the nearest minute.
Feb/March 2023
State 6479 correct to the nearest 100.
Feb/March 2023
Write 5926 rounded to the nearest 10.
Feb/March 2024
The rope length, $l$ m, is stated to be 18.7 m, accurate to the nearest 10 centimetres.
Feb/March 2024
The height of a building, $h$ metres, is 635 m when rounded to the nearest metre.
Feb/March 2025
A metal sample has a volume of $1240\text{ cm}^3$, to the nearest $20\text{ cm}^3$. Its mass is $7800\text{ g}$, to the nearest $100\text{ g}$. [Density = mass \div volume.]
Feb/March 2025
The mass of a car is stated as $1400\text{ kg}$, to the nearest hundred kilograms.
May/June 2015
Rice is sold in packs of 75 grams and packs of 120 grams. The mass of each pack is given correct to the nearest gram.
May/June 2015
A year earlier, Ahmed’s height measured 114 cm. At present, his height measures 120 cm. Each reading is accurate to the nearest centimetre.
May/June 2015
Fill in the statement about the perimeter, $P$ cm, of the triangle: $\; \dots \leq P < \dots$
May/June 2015
Write the value of $3.5897$ correct to $4$ significant figures.
May/June 2016
Lanying sells potatoes in bags. The potatoes in each bag have a mass of $5\text{ kg}$, accurate to the nearest $0.1\text{ kg}$.
May/June 2016
Round $71\,496$ to $2$ significant figures.
May/June 2016
An equilateral triangle has side lengths of 9.4 cm, given correct to the nearest millimetre.
May/June 2016
The triangle has a base of $9\text{ cm}$, rounded to the nearest cm, and its area is $40\text{ cm}^2$, rounded to the nearest $5\text{ cm}^2$.
May/June 2016
Write $3.5897$ rounded to 4 significant figures.
May/June 2016
Determine the lower bound for $V$.
May/June 2016
Express 71 496 to 2 significant figures.
May/June 2016
The elephant’s mass, $m$ kilograms, is given as 3570 kg, rounded to the nearest 5 kg.
May/June 2017
Write 23.4571 rounded to 4 significant figures.
May/June 2017
Write $0.07164$ correct to $2$ significant figures.
May/June 2017
Write 5367 rounded to the nearest hundred.
May/June 2017
Write $23.4571$ to $4$ significant figures.
May/June 2017
Round $0.07164$ to $2$ significant figures.
May/June 2017
A rectangle measures $62\text{ mm}$ in length and $47\text{ mm}$ in width, and each dimension is accurate to the nearest millimetre. Its area is $A \text{ mm}^2$.
May/June 2017
Simone is making a fruit cake.
May/June 2017
A company sold 9600 cars in 2016, rounded to the nearest hundred.
May/June 2017
Express 4647 correct to the nearest 100.
May/June 2018
A boy’s height, $h$ metres, is given as 1.72 m, accurate to the nearest centimetre.
May/June 2018
Write $209\,802$ correct to the nearest thousand.
May/June 2018
Calculate the upper bound for the perimeter of the square.
May/June 2018
Write $209\,802$ rounded to the nearest thousand.
May/June 2018
The truck has length $L$ metres, and this is given as $8.2$ m to 1 decimal place.
May/June 2019
Write 0.047 883 rounded to 2 significant figures.
May/June 2019
Write 3.058 rounded to 3 significant figures.
May/June 2019
Genaro records the length, $l$ cm, of his desk as 120 cm when it is rounded to the nearest centimetre.
May/June 2019
An equilateral triangle has each side measuring 15 cm, to the nearest centimetre.
May/June 2019
Write $0.047\,883$ rounded to 2 significant figures.
May/June 2019
Write $1.8972$ rounded to $2$ decimal places.
May/June 2019
$A = \frac{b \times h}{2}$. Taking $A = 10$, rounded to the nearest whole number, and $h = 4$, also rounded to the nearest whole number.
May/June 2019
The rope length, $l$ metres, is 5.67 m, rounded to the nearest centimetre.
May/June 2021
The separation between two towns is 600 km, correct to the nearest 10 km. A car needs 8 hours 40 minutes, correct to the nearest 10 minutes, to cover this distance.
May/June 2021
A regular hexagon has sides measuring $80\text{ mm}$, to the nearest millimetre.
May/June 2021
Calculate $\frac{1 - 0.7}{0.45 - 0.38}$, then give the answer correct to 4 significant figures.
May/June 2022
A length of rope is represented by $l$ metres, and this is given as 30.7 m, accurate to 1 decimal place.
May/June 2022
Neha has a ribbon with a length of 23 cm, measured correct to the nearest cm. She then cuts off a section with a length of 87 mm, measured correct to the nearest mm.
May/June 2022
Calculate an estimate for the total number of people camping at the festival.
May/June 2022
By expressing each number in the calculation to 1 significant figure.
May/June 2023
The length, $l$ metres, of a piece of wood is given as 3.6 metres, rounded to the nearest 10 centimetres.
May/June 2023
Write 3752 rounded to the nearest 10.
May/June 2023
Write 928 rounded to the nearest ten.
May/June 2023
Using each number in the expression rounded correctly to 1 significant figure, determine an estimate for the value of $\dfrac{6.8 \times 10.6}{3.2 - 0.98}$. Show your working.
May/June 2023
Calculate the upper bound for how long the journey lasts. Give your answer in hours and minutes.
May/June 2023
Write the number three hundred thousand and three using figures.
May/June 2023
Write $0.04628$ correctly to $2$ significant figures.
May/June 2024
A piece of material has length, $l$ metres, given as 4.5 m to the nearest 10 cm.
May/June 2024
Complete the statement below about the value of $s$: $\ldots \le s < \ldots$.
May/June 2024
Write 164703 rounded to the nearest thousand.
May/June 2024
Round 0.04628 to 2 significant figures.
May/June 2024
Work out the time taken. State your answer in minutes.
May/June 2024
The mass, $m$ kg, of a stone is $3.2$ kg when rounded to the nearest 100 g.
May/June 2025
A building has a height of $h$ metres, and this is given as $105\text{ m}$ to the nearest metre.
May/June 2025
Work out. $\dfrac{16.71 + 46.13}{\sqrt{8.6^2 - 3.5^2}}$ State your answer correct to 2 significant figures.
May/June 2025
For $I = \dfrac{V}{R}$, the quantity $V$ is $50$, rounded to the nearest $10$, and $R$ is $13$, rounded to the nearest integer.
May/June 2025
A rectangle has length 16 cm, rounded to the nearest centimetre. Its width is 14 cm, rounded to the nearest centimetre.
May/June 2025
The mass of a metal cube is $14.2\text{ g}$, correct to 1 decimal place.
May/June 2025
Write $1426.3075$, rounded to $2$ decimal places.
Oct/Nov 2015
Give 168.9 correct to 2 significant figures.
Oct/Nov 2015
Calculate the lower bound and the upper bound for the perimeter of this rectangle.
Oct/Nov 2015
Write 168.9 rounded to 2 significant figures.
Oct/Nov 2015
A cuboid has a volume of $878\text{ cm}^3$, to the nearest cubic centimetre. Its base length is $7\text{ cm}$, to the nearest centimetre, and its base width is $6\text{ cm}$, to the nearest centimetre.
Oct/Nov 2015
Write $0.0401907$ rounded to 3 significant figures.
Oct/Nov 2016
Write $14835$ rounded to the nearest thousand.
Oct/Nov 2016
Write $0.0401907$ rounded to $3$ significant figures.
Oct/Nov 2016
Write 14 835 rounded to the nearest thousand.
Oct/Nov 2016
A square has side length $8\text{ cm}$, rounded to the nearest centimetre.
Oct/Nov 2016
State the upper bound and the lower bound for the length of this car.
Oct/Nov 2016
Express $18.766$ correct to 1 decimal place.
Oct/Nov 2017
Jade’s race time, $t$ seconds, is 14.3 seconds, accurate to 1 decimal place.
Oct/Nov 2017
The ship’s length, $l$ metres, is stated as $362\,\text{m}$ when rounded to the nearest metre.
Oct/Nov 2017
Three identical cuboids are stacked to make a tower. The height of a single cuboid is $6.5\ \text{cm}$, accurate to the nearest millimetre. The diagram is NOT TO SCALE.
Oct/Nov 2017
A triangle has side lengths of 5.2 cm, 6.3 cm and 9.4 cm, and each measurement is rounded to the nearest millimetre.
Oct/Nov 2017
Write $257\,964$ correct to the nearest thousand.
Oct/Nov 2018
Write $0.076499$ correct to 2 significant figures.
Oct/Nov 2018
Katy’s suitcase has mass $m$ kilograms, and this is 31 kg when rounded to the nearest kilogram.
Oct/Nov 2018
Saafia has a barrel that contains 6000 millilitres of oil, accurate to the nearest 100 ml. She uses this oil to fill bottles, and each bottle holds exactly 50 ml.
Oct/Nov 2018
An equilateral triangle has a side length of $12\text{ cm}$, correct to the nearest centimetre. Find the lower bound and the upper bound of its perimeter.
Oct/Nov 2018
A square has an area of $42.5\text{ cm}^2$, accurate to the nearest $0.5\text{ cm}^2$.
Oct/Nov 2018
Give $0.076499$ rounded to 2 significant figures.
Oct/Nov 2018