Practice problems of the unit conversion - page 24 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: 2215
- Calculate 55981
Calculate the following example: On a map with a scale of 1:50,000, two places, A and B, are 4 cm apart. Find out: a) what is the distance between these places in reality; b) what is the scale of the map in which these places are 12 cm apart? - Probability 53061
One hundred people work in the office. Each of them spends an average of 25 minutes daily on the phone. A working day has 8 hours. What is the probability that ten workers will be on the phone simultaneously in one day? - Movement 43831
The crane motor has a constant power of 9 kW. How long does it take to lift a body weighing 12 tons to a height of 9 m with constant movement? - Recommended 16823
Gasoline will be mixed with oil. The recommended mixing ratio of oil and petrol is 1:50. We have 5 liters of gasoline in the canister. How many deciliters (dl) of oil must add to keep the recommended ratio? - Government 14723
Vlado moves at a speed of 4 km/h. Its step is 0.8 m long. How many steps will the government take in 12 minutes? - Distance 8080
The driver covered the distance between the two cities in 2 hours at an average speed of 75 km/h. How does he have to change speed to get 20 minutes faster? - Separated 5878
How many cm on a map with a scale of 1:150,000 will two cities be separated when their distance is 30 km? - Settlements 3517
On the map of Kosice with a scale of 1: 7,000 is the distance between the housing estate NadJezera and the housing estate Tahanovce 9 cm. What is the actual air distance of these settlements? - Experienced 3318
An experienced tamer will wash an elephant in 40 minutes. It takes a temporary worker 2 hours. How long in a minute will a tamer and a temporary worker wash three elephants together? - A turtle 2
A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond. How long will it take the turtle to reach the pond at this speed? - Car travel
How many kilometers did the car travel if it averaged 68 km/h? It started at 8:20 and arrived at its destination at 10:05. - When Emily
When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 minutes doing her chores. Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finishe - Leaking swimming pool
Between 10 pm and 7:10 am, the water level in a swimming pool decreased by 5/12 inches. Assuming that the water level decreased constantly, how much did it drop each hour? - Runners
If John has a running speed of 3.5miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM, and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible) - Cranberries
They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200-gram packages were there? - Dried apples
How many kilograms of fresh apple is needed for 120 kg of dried apples when from 0.4 tons of fresh apples, we get 75 kg of dried apples? - Pump
The pump in the yard is dripping water. Every drop is 1 ml. How many drops will be necessary before filling a bucket with a volume of 10 l? Calculate how long it will fulfill the bucket when drops fall each second. - Overtake 82752
I am passing a tractor whose speed is 20 km/h. The length of the tractor with the siding is 10 m. My speed is 50 km/h. How long will I overtake the tractor? - According 81648
According to the table, calculate how many meters Jakub walked on Monday when he went from home to school, from there to swimming practice, and then returned home. ; School; Swimming pool House ; 800m ; 2km School; 800 m ; 2km 300m Swimming pool ; 2 km; 2 - Motorcycle 79944
A car travels 11,000 m in one minute. A motorcycle travels at a speed of 330 m in 11 seconds. Which of them will travel the greater distance in 1 hour of driving?
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