A runner's pace is 12 kilometers per hour (km/h). Convert this speed into meters per minute (\( \text{m/min} \)).
Key Stage 3 (KS3) · Mathematics
Unit Conversions: Practice Questions
5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Unit Conversions.
The density of a substance is \( 0.8 \text{ g/cm}^3 \). Convert this density to \( \text{kg/m}^3 \).
An airplane fuel tank has a capacity of 12 \( \text{m}^3 \). If the fuel flows into the tank at a rate of 800 \( \text{cm}^3/\text{s} \), how many hours will it take to fill the tank completely? (Give your answer to 1 decimal place)
A storage container has a volume of 4.2 cubic decimeters (\( \text{dm}^3 \)). What is this volume in milliliters (\( \text{mL} \))?
The volume of a water tank is \( 2.5 \text{ m}^3 \). What is the volume of the tank in litres \( (\text{L}) \)? (Given \( 1 \text{ cm}^3 = 1 \text{ mL} \))
Convert \( 5.4 \) kilometers (km) into meters (m).
Write your answer out first, then check it against the worked solution.
The density of a metal block is \( 8.9 \text{ g/cm}^3 \). Convert this density to kilograms per cubic meter (\( \text{kg/m}^3 \)).
Write your answer out first, then check it against the worked solution.
A piece of land has an area of \( 0.025 \text{ km}^2 \). If the land is divided into smaller plots of \( 500 \text{ m}^2 \) each, how many plots are there?
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A runner completes a practice session on a track. The total distance covered is 5.4 km.
(a) Convert the total distance into meters ( ext{m}).
(b) If the runner weighs 65,000 g, express this mass in kilograms ( ext{kg}).
Write your answer out first, then check it against the worked solution.
An express train travels at a constant speed of 126 km/h.
(a) Convert the speed of the train into meters per second (\(\text{m/s}\)).
(b) Using the speed in \(\text{m/s}\), calculate the total distance in meters the train travels in 20 seconds.
Write your answer out first, then check it against the worked solution.
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