Practice problems of the unit conversion - page 13 of 111
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: 2207
- Distance 70084
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance? - Displayed 65694
Calculate the scale of the map, at which the actual distance of 12.6 km will be on the map as a distance of 2.52 cm. - Kilometers 62274
In one city, the distance between two adjacent city edges on a map with a scale of 1:500000 measures 48 mm. What is the actual distance between these city outskirts in kilometers? - Distance 59303
The map has a scale of 1:2500000. We measured a distance of 4 cm on the map. What is the distance in km? - Distance 58693
Peter has a step of 0.5m and walks a hundred steps. How much would this distance be on a 1: 1000 scale map? - Obtained 54243
From 5 kg of green coffee, we obtained 4200 g of roasted coffee. How many g of green coffee do we need to roast to get 10 kg of roasted coffee? - Electromagnetic 32291
The electromagnetic signal sent by the radar bounced off the plane and returned in 60 microseconds. How far is the plane? - Relationship 30501
When converting degrees Celsius (C) to degrees Fahrenheit (F), the relationship is used: F = C . 9/5 + 32. How many degrees Celsius are they in New York City if the thermometer reads 23 degrees Fahrenheit? - Strawberries 15533
An old cookbook states that 250g of gelling sugar should be added to 1.25kg of strawberries when preparing strawberry jam. What is the sugar-to-strawberry ratio? - Measures 10941
The city plan has a scale of 1:1500. Find the actual length of the bridge, which measures 1.1 cm on this plan. - Adjusted 7455
The watch is 1/4 minute ahead of the clock. We adjusted it at 7 AM. How much do they show at 3 PM? - Photo egative
Negative dimensions are 36mm and 28mm. What will the photo size be in the 21:4 ratio? - 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? - Five-kilogram 4112
Fertilizer for gardeners contains the following trace elements: bor. ... ..minimum 0.3promile weight. What is the smallest weight of each trace element in a five-kilogram fertilizer package? - 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?
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