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" " " " " #& #) #~ # # $U $] $ $ $ $ %@ %Y %Z %\ %] % % % % &O & & & & ' ' ' ' ' ' ' (T (V ( )+ )8 +W +p +q +s +t + + + + ,f , , -[ -t -u -w -x - - - - .j . /* /. 0 1  1  1 1 19 1< 1 1 2 2h 32 3K 3L 3N 3O 3x 3{ 3 3 4A 4 6  6$ 6% 6' 6( 6Q 6T 7z 7 7 8 8 8 8 8 8 8 9E 9G :& ;" ;; ;< ;> ;? ;h ;k ; ; <1 < < >g > > > > > > ? ? !!! !![!D!T!"D!P"!&!)?! -! 1!h4!8! ! UNIT 3: MEASURING IN ENGLISH and METRIC UNITS ODD QUESTIONS 1-39 1. If a paper clip weighs about one gram, approximately how many paper clips would be in a 0.5-kilogram box of clips? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 3. Many thermometers now have both the Fahrenheit and the Celsius scales. Bank signs show the air temperature in both units. Use the dual-scale thermometer (next page) when answering these questions. a. At what temperature Celsius should you be concerned about ice beginning to form on bridges and overpasses? (Assume bridges will ice over at 32oF.) b. Your swim team practices in the outdoor pool only when the outside air temperature is 80oF or above. The weather forecasts that tomorrow will be sunny with a high near 12oC. Will the team practice at the outdoor swimming pool? c. Temperatures below zero in the Celsius scale arent quite as cold as we are used to hearing about in the Fahrenheit scale. If the bank sign is showing the temperature to be -15oC, how cold is this in Fahrenheit degrees? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 3. Continued. Place dual-scale thermometer, page 50, here. 5. As you travel along the interstate highway system, you may have noticed the mile markers along the roadside. Small reflectors are also positioned regularly along the road. A certain stretch of road has 21 reflectors between the mile markers. a. Draw a sketch of the mile markers and the reflectors between them. Into how many sections is the mile divided? b. If the reflectors are equally spaced, how many feet are between each reflector? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 7. How much will the water weigh that fills a 100-gallon sprayer tank? How many cubic feet of water is this? Assume water weighs about 8.3 lb per gallon and a cubic foot of water weighs 62.4 lb. What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 9. You estimate that your cotton crop can be harvested in 1 week and 4 days if you schedule three tractors to work 12 hours a day, 6 days a week. a. How many hours do all three tractors combined have to work to harvest the cotton? b. You can only get two tractors at harvest time. Your workers are willing to work 7 days a week to try to harvest the cotton within 2 weeks. Since they still need the same amount of tractor time, how many hours will each of the two tractors have to work to meet the goal? c. How many hours a day will each tractor have to work to get the job done in 2 weeks, working 7 days a week? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 11. Electric utility companies measure the usage of electricity by the kilowatt-hour, rather than the watt-hour. For example, a 300-watt light bulb used for one hour would consume 300 watt-hours of electricity (300 watts x 1 hour = 300 watt- hours). a. How many kilowatt-hours would the 300-watt light bulb consume while in use for one hour? b. A ceramic store uses an electric kiln that operates at 5,000 watts for three hours a day. How many kilowatt-hours of electricity does the kiln use each  day? c. If the electric utility company charges $0.1259 per kilowatt-hour, how much does it cost to fire the kiln each day? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 13. The petroleum industry uses barrels as a measure of volume. Each barrel is the same as 42 gallons. An oil refinery has 12 storage tanks. Each tank has a volume inside of about 33,500 cubic feet. a. How many gallons of oil can each tank store? b. How many barrels of oil can be stored at the refinery? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 15. The yearly costs for a typists workstation at Meander River Water Company are listed below. Yearly costs for typists workstation Salary $12,300 Cost of office space and furniture 635 Typewriter maintenance 90 Misc. expenses 240 TOTAL $13,265 a. If the cost of the station is based on 5 days per week, for 52 weeks a year, what would the cost of the station be for one day? b. If the workday for the typist is 8 hours, how much does it cost for the typist per minute (rounded to the nearest tenth of a cent)? c. How much does it cost the Meander River Water Company if the typist is 30  minutes late to work? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 17. Insurance mortality tables are used to help companies predict how much they may expect to pay out in claims, and so how much they should charge for insurance premiums. A portion of such a table follows. Mortality table Death rate Age per 1000 . . . . . . 28 1.93 29 1.96 30 1.99 31 2.03 32 2.08 . . . . . . a. If Home and House Insurance Company insures 62,142 clients who are 30 years old, how many thousand clients is this? b. Find the predicted number of deaths per thousand from the table for clients of thirty years of age. c. How many total claims can Home and House expect from their 30 year old clients? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 19. You work in a secretarial pool for a law firm. A typewriter using a 10-pitch font with fixed spacing will type 10 characters per inch. On paper that is 8 1/2 wide, you want to allow 1 1/8 each for the left and right margins. a. How many inches are allowed for each 10-pitch character? b. How much of the papers width is left for typing after allowing for the margins? c. How many 10-pitch characters can fit in this space? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 21. The doctor has ordered a liter of D5W (dextrose 5% and water). The standard sizes for D5W are 1000 cc, 500 cc, and 250 cc. A cc is essentially the same as a milliliter. Which size (in cc) has the doctor ordered? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 23. A culture medium is to be grown at a temperature of 35oC. Will it have to be placed in a warming oven, a refrigerator, or will room temperature be satisfactory? (Use the dual-scale thermometer with problem #3 to solve this problem.) What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 25. You need to administer gamma globulin injections to the staff who have been exposed to hepatitis. The prescribed dosage is 0.05 cc per kilogram of body ?weight, rounded to the nearest 0.1cc. The staffs body weights are: Dr. Stone 138 pounds, Judy 119 pounds, Maria 125 pounds, and Rick 210 pounds. a. What is each of the staffs body weight expressed in kilograms? Round your answer to the nearest kilogram. b. How much gamma globulin should each of the staff receive? (Remember to round to the nearest 0.1cc.) What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 27. How many pounds of ground beef should you buy to make 120 hamburgers, if each burger patty will weigh 5 ounces before cooking? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 29. You want to cut a recipe for pancakes by one third (that is, only produce 2/3 of a full batch). Your measuring cup is marked with fourths of a cup, and also milliliters. The recipe calls for 4 cups of flour. a. If each cup is equivalent to 8 fluid ounces, how many ounces of flour does the reduced recipe require? b. How many milliliters of flour are required for your reduced recipe? c. Can you express the amount of flour in fourths of a cup? If so, how many fourths of a cup would you measure? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 31. Two dial indicator gages are available: one with graduations down to 0.00005 and the other with graduations down to 0.002 mm. Which gage should you select to obtain the finer precision? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct):  33. A shop order calls for 50 aluminum slats to be cut. Each slat will be 6.4 cm wide. Each cut will waste 0.3 cm of material. Place picture, page 41, here. a. What is the width of material needed for each slat and cut? b. How much stock will be needed for the total order? c. How many meters of stock is this? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 35. The cylinder displacement in automobiles was expressed in cubic inches in the past, but now is being reported in liters. a. About how many liters displacement would a 400-cubic-inch engine have? b. About how many cubic inches of piston displacement would a 2.2-liter engine have? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 37. To get electrical power to an air compressor, you need about 60 feet of wire. A 15-meter roll of wire is to be used. a. Will you have enough wire to power the compressor? b. How much will you lack, or how much will you have left over? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 39. The load limit of a flatbed truck trailer is posted at 5 tons. Several large pieces of equipment that have their weights tagged by the manufacturers have been loaded onto the truck. The tags show 4080 pounds, 350 pounds, 1590 kilograms, and 2840 pounds. a. What is the load limit of the truck trailer expressed in pounds? b. What is the total weight of the equipment loaded onto the truck trailer? c. Is the trailer overloaded? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): DSET|(H!>"9 *6*>"9DSET(H! 9>96*=9DSETR !!!!!<   !Unit 3 Odd Questions