Practice problems of the unit conversion - page 2 of 113
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: 2252
- ABCD on a map
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B, and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A, and C is 11.8 km from D. Who traveled more, and by how much? - Complete 16
Complete the conversions below, show calculations and answers 1) 3.5 kg to gram 2) 4567ml to litres 3) R45.78 to cent 4) 5.60m to centimeters - Water per day
Liam's goal is to drink 12 cups of water a day. So far, Liam has drank one-half gallon of water today. How much more water, in OUNCES, does Liam need to drink today to reach his goal of 12 cups of water per day? - Mr. Lee
Mr. Lee has a rope. The total length of the rope is 5 meters. He cuts off 350 centimeters of rope to use in his garden and another 75 centimeters to hang a bird feeder. What is the length of the rope he has left in centimeters?
- Grain storage
On their farm, Adam's family maintains a storage facility that can hold 19.2 cubic yards (yd3) of grain. Since 1 yard is approximately equal to 0.9144 m, this volume can be converted to m³. - Train same direction
Find the time taken by a train 170 m long, running at the speed of 83 km/h to cross another train 180 m running at the speed of 65 km/h in the same direction . - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Grams and kilos
1. Tunji weighs 67 kg 114 g, while Deji weighs 54kg 596g. What is the sum total of their weight? 2. Adamu is 2kg 324g lighter than Muazu; if Muazu weighs 49kg 158g, what is Adamu's weight? - David 5
David was riding his bicycle at a speed of 26.5 kilometers per hour (km/h). Use the fact that 1 kilometer is approximately equal to 0.6214 miles to convert this speed to miles per hour (mile/h)
- Two persons
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - Hoverboard
Adam lives in Podhradí, and his friend Marcel lives in Lhota. Lhota is 6 km from Podhradí. Adam travels the same distance on a hoverboard in 20 minutes as Marcel does in 25 minutes. They leave home simultaneously, drive towards each other, and meet in pre - Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - Vegetable storage
To help vegetables stay fresh longer, Liam's family maintains storage near their home. The total volume of the root cellar is 737 cubic feet (ft³). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m³. Round your answer - A biker
A biker traveled from city A to city B via city C with a uniform speed of 52 km/h. He then returned directly to city A with a uniform speed of 89 km/h. Find, in minutes, the total time of his whole journey to two decimal places. City distance A from B is
- Yd2 to ft2 unit conversion
If a room requires 25.4 square yards of carpeting, what is the area of the floor in units of ft2? (3 ft. = 1 yd.) - A triangular
A triangular frame has sides that measure 15’-7",20’-4", and 26’-2". What is the total length of the three sides? - FRAMES
Joe is making picture frames out of wood. The length of each frame is 10 inches, and the width is 8 inches. Each piece of wood used to make the frames is 8 feet long. How many pieces of wood will he need to make 10 picture frames? Clue: find the perimeter - Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - Water 66
Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. G
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