Practice problems of the unit conversion - page 25 of 112
The International System of Units (SI) is the standard system of units used in most countries around the world. It is based on seven base units: the meter for length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity. These units can be converted to other units using conversion factors, such as the relationship between meters and centimeters (1 meter = 100 centimeters). Other common SI unit conversions include:1 liter = 1000 milliliters
1 gram = 1000 milligrams
1 joule = 1 watt-second
1 newton = 1 kilogram-meter per second squared
In the SI system, units can be multiplied or divided by powers of ten to create larger or smaller units. These multiples are called prefixes. The most common prefixes and their meanings are:
mega- (M) = 1,000,000 (e.g. 1 megahertz = 1,000,000 hertz)
kilo- (k) = 1000 (e.g. 1 kilogram = 1000 grams)
centi- (c) = 0.01 (e.g. 1 centimeter = 0.01 meters)
milli- (m) = 0.001 (e.g. 1 milliliter = 0.001 liters)
micro- (µ) = 0.000001 (e.g. 1 microgram = 0.000001 grams)
nano- (n) = 0.000000001 (e.g. 1 nanosecond = 0.000000001 seconds)
It is important to note that, when using these prefixes, the prefix should be written before the unit symbol.
Number of problems found: 2238
- A turkey
Alana was cooking a turkey. It takes 4 1/2 hours to cook. She checks it every 20 min, 1/3 of the hour. How many times will she check it before it is cooked? - Exchange office
We get € 1.2 for one pound in the exchange office. For 1 € we get 4 Polish zlotys. Michael found 300 zlotys at home and wanted to turn them into pounds. How many pounds will he get for them? - Last wagon
A 200 m long train passes through the 700 m long tunnel so that a time of 1 minute elapses from the entry of the locomotive into the tunnel to the exit of the last wagon from the tunnel. Find the speed of the train. - Tandem jump
During the tandem jump, the paratroopers dropped from a height of 1.7 km to a height of 1.5 km above the surface in 4 seconds. At what average speed did they move before the parachute opened?
- Thomas 2
Thomas is 56 3/4 inches tall. Jillian is 1 3/8 inches shorter than Thomas, and Jane is 1 1/5 inches shorter than Jillian. How tall is Jane? Label the names on the tape diagram to represent this problem. Jane Jillian Thomas Excellent! - Biking
Dhea is biking for 20 mins every day before going to school. She looked at her watch and had already completed even 10 hours of biking. How many days in total did she achieve? - Light year
A light-year is a unit of length that expresses the distance light travels in one year. What distance will it travel if the speed of light is approximately 300,000 km/s? - A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs? - Tram stop
The blue tram stops every 12 minutes, the red one for 8 minutes. At 8 o'clock, they left the stop together. How many times do they meet at a stop before 11 AM?
- Energy consumption
The device is connected to 230V and draws a 3.5A current. Power consumption is 1932kJ. How many minutes has this device been in operation? - Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums? - Apartment area
Anton wanted to measure the area of the apartment. But he bought a meter only 1.5m long. Later, he recalled that he had two meters long at 4.5m and 18m at home. How many times are home gauges longer than the meter he bought? - Car loop
The toy car runs at an average speed of 2 m/s. In a minute, it will pass the entire circuit five times. How long is the loop? - Avg speed of flight
The student's vice adventure had a 2,367 km flight. If their travel time was 2 hours and 56 minutes, what was their average speed in kilometers per hour?
- Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with two volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture? - Buses 4
Intervals: 1st bus 40 min. 2nd bus 2h 3rd bud 20min How long will it take them to meet - as soon as possible? - Server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9%. - Temperature calculus
Calculate the percentage of temperature increase if changed from 18°C to 33°C. - Kangaroo 82979
A kangaroo can move at a speed of 65 km/h. How many minutes will it take to move at this speed to a place 6500 m away?
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