Unit 1 Lesson 3 Group Assignment Name ____________________________________Folder ____ Unit Conversion Worksheet Conversions 1 hour = 3600 seconds 1 meter = 3.28 feet 1 kg = 2.2 lbs 1 m/s = 2.2 miles/hour 1 mile = 5280 feet 1 km = 0.62 miles 1 lb = 0.45 kg 1 foot = 12 inches 1 yard = 3 feet 1 light second = 300,000,000 meters 1 quart = 0.946 liters 1 inch = 2.54 cm = 25.4 mm Convert the following quantities, show all work and units 1. 565,900 seconds into days 2. 17 years into minutes 3. 43 miles into feet 4. 165 pounds into kilograms 5. 100 yards into meters 6. 22,647 inches into miles 7. 2678 cm into feet 8. 60 miles per hour into meters per second 9. 130 meters per second into miles per hour 10. 1100 feet per second into miles per hour 11. 53 yards per hour into inches per week 12. 721 lbs per week in kg per second 13. 88 inches per second into miles per day 14. 186,282 miles per second into meters per second 15. Which would be the most appropriate unit of measurement for a chef buying meat for his restaurant for the next week? A. Ounces B. Feet C. Pounds D. Tons 16. As Kerri packs for her trip to Melbourne, Australia, she looks up the average daily temperature for June and finds that it's about 14 degrees Celsius. She knows that F = 1.8C + 32, where F represents degrees in Fahrenheit and C represents degrees Celsius. About what temperature should she expect in degrees Fahrenheit? A. 57 B. 40 C. 83 D. -32 17. Akram has determined that he can read about 150 words per minute. Unfortunately for Akram, he has waited until this weekend to do all his reading. The book he has to read is 310 pages long. If a typical paperback has about 350 words per page, how many hours should he set aside for this reading? A. 12 days B. 12 hours C. 72.3 days D. 610 hours 18. Sylvia is fascinated by the fact that the digits of pi never terminate and never repeat. She has looked up the first 10,000 digits of pi. In which of the situations below is anyone likely to need that many digits of pi? A. Doing home improvement, installing a round sunroof B. Sewing a round tablecloth for the backyard picnic table C. Working on brake pads as an auto mechanic D. Working on the Space Shuttle for NASA 19. Shayne is trying to campaign for a $1 raise in her allowance. She has made up a PowerPoint to show her parents, and wants to make a bar graph of the allowances of the 30 kids in her homeroom. Their allowances range from $2 per week to $7.50 per week. Which unit would make the sense for each box of the bar graph to represent? A. 10 B. 1 C. $0.25 D. $0.01 20. Albert Einstein is driving down a country road at the speed of light. Just kidding. He's actually going an average of 70 miles an hour. He started driving at 3 PM exactly and arrived at his destination at 5:27 PM. If we need to calculate the distance from his starting point to his destination, our answer will be in which units? A. miles B. Hours C. Miles per hour D. Kilometers 21. We want to calculate the speed at which a ball rolls down a hill. It takes 2.3 minutes for the 1-pound ball to roll down a hill sloped at a 53° angle. If the distance from the top of the hill to the bottom is 72 feet, our answer will be in which units? A. pounds per minute B. minutes per foot C. feet per minute D. degrees per foot 22. Given a line with slope of 200, what would be the ideal intervals in the coordinate plane for both the x and y-axes? In other words, how many units per gradation should there be for both the x and y-axes to see the line as best as possible? A. 1 for x, 1 for y B. 100 for x, 1 for y C. 1 for x, 100 for y D. 100 for x, 100 for y 23. Your friend wants you to measure his height. Which units should you use? A. yards B. nanometers C. inches D. kilograms 24. It takes Casper (the friendly ghost) 62 minutes to fly from his haunted house to another one. The haunted house is 47 miles away from his haunted house. In that case, how long would it take him to fly to Wendy's house, which is 71 miles away from his? A. 0.76 mi/min B. 41 min C. 54 min D. 94 min 25. Walter has decided to drive from Long Island New York to Orlando to visit his family. He knows the trip is about 1,000 miles. About how many hours can he expect to drive? A. 5 B. 20 C. 40 D. 60 26. Dominic is painting his living room. He's done the math, and he knows that if he works alone, the job should take 6 hours. His two brothers decide to help, and work at the same rate as Dominic. Which is a reasonable estimate for how long the job should take? A. 6 hours B. 18 hours C. 2 hours D. 8 hours 27. The Willis Tower in Chicago (formerly known as the Sears Tower) was the tallest building in the world for 25 years. Its Skydeck is on Floor 103. Which would be a good estimate for the height above the ground at which the Skydeck rests? A. 103 feet B. 412 feet C. 600 feet D. 1000 feet 28. Nick is in the seventh grade. He works part time as a caddy and babysits his little cousin. He has determined that it's only 4 more years until he can drive, and he wants to save for a car. He knows that it will be a used car, and that it won't cost more than $8,000. About how much should he plan to save each month? A. $20 B. $50 C. $150 D. $400 29. Against all the peer pressure in the world, you love the music of Johann Sebastian Bach. There's no shame in that. You do lots of research into his life, and discover that he died in 1750 when he was in his sixties. Which of the following is a logical answer to, "When was he born?" A. 1810 B. 1688 C. 1642 D. 1711 30. There are about 300 million people in the United States. Of these 300 million people, only about 175 million vote. Which percentage best approximates the ratio of voters to total population? (Don't worry about who's a citizen and who isn't.) A. 40% B. 60% C. 80% D. 100% 31. A pack of gum costs $0.95. If it has 16 sticks of gum, how much would one individual stick of gum cost? A. $0.0594 B. 5.94¢ C. $0.06 D. 0.06¢ 32. A field that's 200 feet by 200 feet can hold a certain number of people. If we give each person exactly 5.3 square feet of personal space, what's a legitimate estimation of how many people the field can hold? A. 7,547.2 B. 7,500 C. 100,000 D. 1 33. A student writes that planes travel at elevations of around 350,000 feet. What is the most likely explanation for this error? A. Incorrect units C. Not enough information B. Incorrect decimal placement D. There is no error 34. Michelle drives her car a distance of 129 miles. If she drives at an average speed of 42 miles an hour, about how long will it take her to reach her destination? A. 1 hour B. 2 hours C. 3 hours D. 4 hours