Practice problems of the unit conversion - page 16 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
- Three-quarters 4270
Veronika did her homework for precisely one hour. One-third of her time was devoted to mathematics, three-quarters of her time to geography. How many minutes did she spend on other subjects? - Density 3701
4.8g / l a) what is mg / l b) What is per mille if the density of alcohol is 80% of the density of blood (water)? - Distance 3528
The direct distance between Prague - Moscow is 1680 km. How far apart are these cities on the scale map 1:4000000? - Dripping 2834
In one day, 168 liters of water flow out of a dripping water tap. How many days will 4.2 cubic meters of water flow out? - Peter 11
Peter is answering 10-word math problems. It takes him 1 ⅓ hour to answer five and 1 ½ hours to answer 5. On average, how many minutes does it take him to answer a problem? - Temperatures
Temperatures in degrees Fahrenheit and Celsius are related by the rule F = 1.8C + 32. What is the temperature in degrees Celsius if it is 50°F? - Her goal
Her goal is to walk 10,000 steps each day. She measures her average step length to be 30 inches. If she walks 10,000 steps in a day, how many miles will she walk? - Glasses of juice
Jake's mom filled a 2-liter container with juice. Then Jake poured two glasses of juice. Each glass had precisely 400 milliliters of juice. How many liters of juice remain in the container? - Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³. - Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map? - The third
The one-third rod is blue, one-half of the rod is red, and the rest of the rod is white and measures 8 cm. How long is the whole rod? - Sugar 9
150 kg of sugar beet yields 24 kg of sugar. How many tons of sugar beet can be obtained from three tons of sugar? - The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map? - Potatoes
Could 446 tons of potatoes (ρ = 771 kg/m³) fit in a warehouse with a volume of 699 m³? - Cast brass
Brass cast weight was 3.84 kg. It had turned into piston weight 3.491 kg. How many grams of brass were turned off? - Hens
11 hens will eat spilled grain from 6 AM to 4 PM. At 11 hour grandmother brought 4 hens from the neighbors. At what time was grain out? - Corresponds 82534
A current of 0.1 A can lethally affect a human body with a resistance of 3 kΩ. What voltage corresponds to this current? - Travels 63514
The cyclist travels 10 km per hour, car 60 km. The cyclist went for 3 hours. How many minutes does the same journey take to a car? - Hectoliters 61664
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel? - Acceleration 58021
The runner reaches a speed of 30 km/h after 3 seconds from the start. Determine its acceleration.
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