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Unit Conversions

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Published in: Mathematics | SAT
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This chapter is related to unit conversions and you can see the solution in the second handbook.

Abed K / Abu Dhabi

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  1. Easy
  2. The density of an object is equal to its mass divided by its volume. If a rock sample has a mass of 360 grams and a volume of 120 cubic centimeters, what is the density of the sample in grams per cubic centimeter? Choose 1 answer: 0 240 @ 480 @ 1,080
  3. Ulti!POJN
  4. A shipping route from Los Angeles to Honolulu is 1,946 nautical miles long. Approximately how long is the route in miles? (1 nautical mile 1.15 miles) Choose 1 answer: @ 1,692 @ 1,946 0 2,061 @ 2,238
  5. The molarity, M, of a solution is equal to the number of moles of solute per liter of solution. If 1.0 mole of copper sulfate is used to make 5.0 liters of copper sulfate solution, what is the molarity of the solution? Choose 1 answer: @ 0.20M 0 0.25M @ 1.0M 0 5.0M
  6. A watt-hour is a unit of electrical energy equivalent to a power consumption of 1 watt for 1 hour. How much energy, in watt-hours, is required to keep a 6-watt lightbulb lit for 4,800 hours? Choose 1 answer: 0 600 0 800 0 27,200 0 28,800
  7. With a mass of 112.67 grams, the Star of India is one of the largest star sapphires in the world. The density of a star sapphire is approximately 4.0 grams per cubic centimeter. Which of the following best approximates the volume, in cubic centimeters, of the Star of India? (Density is mass per unit volume.) Choose 1 answer: @ 26 G) 28 G) 30 0 32
  8. The highest recorded wind speed not associated with a tornado was recorded at Barrows Island, Australia, in the year 1996. The wind gust of 220 knots (kn) toppled the previous record held at Mount Washington. mi What was the wind speed in miles per hour hr I kn 1.15 — hr
  9. In 2019, the population of the City of Detroit was approximately 670 thousand. The land area of the City of Detroit is approximately 138.7 square miles. Which of the following is closest to the population density of the City of Detroit in 2019 in people per square mile of land area? Choose 1 answer. @ 207 @ 4,831 @ 92,929
  10. Nadine has 4 gallons of gas in her car. If the fuel efficiency of her car is 23 miles per gallon, how many miles can Nadine drive before running out of gas?
  11. Advanced
  12. A particular car has a fuel efficiency of 8 liters of gasoline per 100 kilometers. What is the fuel efficiency in miles per gallon? Round to the nearest integer. (There are approximately 1.6 kilometers in 1 mile, and approximately 3.8 liters in 1 gallon.)
  13. A 40 milliliter (mL) bottle of pre-diluted tea tree oil contains a 5% concentration of the active ingredient. If the seller charges $14.96 for the total amount of active ingredient in the bottle, what is the price per mL of the active ingredient?
  14. Country Romania Malta Population 412,000 Cheese consumption in 2009 (lbs) 6,610,000 The table gives the approximate populations and cheese consumption, in pounds (lbs), in 2009 for two countries. Per capita consumption is the average amount of a resource that a person in some geographic region uses. To the nearest tenth of a pound per person, how much greater was the per capita cheese consumption in Malta than in Romania in 2009?
  15. Angela is building a pool that is 25 meters long. She has selected tiles to put around the edge of the pool. If each tile is 8 inches long, how many tiles does she need for one 25-meter side of the pool? (1 meter 3.28 feet)
  16. The kinetic energy, measured in kilogram meters squared per second kg • m2 squared s2 , of the International Space Station is approximately: kg • m2 13,340,250,000,000 2 s kg • m2 @ 0.1334TJ @ 1.334TJ @ 13.34TJ 0 13.34. 1012TJ If 1 Joule (J) is equal to 1 , and 1 terajoule (TJ) is equal to 2 s 1012 J, what is the approximate kinetic energy of the Space Station in terajoules to the nearest hundredth?
  17. The great snipe is the fastest known migratory bird. Scientists found that the bird can fly non-stop for approximately 4200 miles (mi). If the bird's km speed is an average of 98 kilometers per hour , how many hours hr can the great snipe fly without stopping? (Round the answer to the nearest tenth. 1 kilometer 0.62 miles)
  18. Yuki's summer job at the frozen yogurt shop paid $324 in her first 3 days on the job. She got paid the same hourly rate every day, and she worked 8 hours per day. How many dollars did Yuki make per hour?
  19. A human hair is approximately 40 microns (pm) wide. If 1 um is equal to 10 —6 meters (m), and I nanometer (nm) is equal to 10—9 m, then how many nanometers wide is a human hair? Choose 1 answer: G) 0.0004 nm (D 0.004 n m @ 4,000nm @ 40,000m
  20. Lea's car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mile trip, what was the approximate cost of gas in dollars per gallon? $1.45 per gallon $3.40 per gallon $3.60 per gallon $5.75 per gallon
  21. A wildfire is spreading toward a ranger station at a rate of 6 miles per hour. If the ranger station is 5 miles away from the wildfire, how many minutes will it take for the wildfire to reach the ranger station?
  22. One cookbook recommends that a person can substitute 1 tablespoon 1 (Tbsp) of dried mint leaves for — cup (c) of fresh mint leaves. The salad 4 recipe calls for 2 Tbsp of fresh mint leaves. How many Tbsp of dried mint leaves could a person substitute into the recipe? (There are 16 Tbsp in 1 c.)
  23. The average typing speed is about 40 words per minute (wpm). Colin took an online typing test, and typed 170 words in 2.5 minutes (min) How much faster than average was Colin's typing speed in words per minute?
  24. A large 12,000 BTU air conditioner running six hours each day will consume 270 kilowatt-hours (kWh) in a month. If the monthly cost of electricity for the air conditioner is $32.40, what is the cost of electricity in cents per kilowatt-hour? (Round the answer to the nearest integer.)
  25. The strength of a magnetic field is measured in teslas. One tesla is equal to one weber per square meter, as follows: 2 Divya is building a circuit for her physics class. Point P on one of her wires has a magnetic field strength of 6 • 106 webers per square megameter, where I megameter is equal to 106 meters. What is the magnetic field strength in teslas? O 6. 6 6. 6 • 100 1012 • 1018 10 —6 teslas teslas teslas teslas
  26. The speed of a space shuttle orbiting the Earth is 28,325 miles per hour. What is the distance, in thousands-of-miles, the space shuttle travels in 5 days?
  27. New York City has a population density of 27,000 residents per 1 square mile. The area of New York City is 301 square miles, and there is approximately 1 subway car for every 1,300 New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?
  28. Thank you Graphs