MATH 20 EXTRA PRACTICE/5.5, 6.1 Name

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1 MATH 20 EXTRA PRACTICE/5.5, 6.1 Name Use a proportion to solve the problem. 1) On a map of the Thunderbird Country Club golf course, 2.5 inches represent 60 yards. How long is the 9th hole if the map shows 9 inches? 2) On a map of the Fox River, 1 centimeter represents 4.5 kilometers. If a trail by the river is actually kilometers long, what is the length of the river on the map? 3) Joan can mow a 4-acre field in 5 hours. How long would it take her to mow a 3.6-acre field? 4) If a computer prints 93 lines in 5 seconds, how many lines can it print per minute? 5) On a map, the length of a nature-center trail is 10.9 centimeters. If the scale is 2 centimeters to 16 kilometers, what is the actual length of the trail? 1

2 6) If 3 sandwich rolls cost $0.27, how much will 19 rolls cost? 7) Jim drove 245 miles in 7 hours. If he can keep the same pace, how long will it take him to drive 735 miles? 8) If a spring stretches 6 meters when a 6-kilogram weight is attached to it, how much will it stretch when a 12-kilogram weight is attached to it? Solve the problem. 9) Use the floor plan shown to complete the exercise. On the plan, one inch (abbreviated in.) represents four feet. What is the length and width of the master bedroom? A = 4 in. B = 1.2 in. C = 2.9 in. D = 2 in. E = 4.3 in. 2

3 10) Use the floor plan shown to complete the exercise. On the plan, one inch (abbreviated in.) represents four feet. What is the length and width of bedroom 1? A = 3 in. B = 1.5 in. C = 3.5 in. D = 2.6 in. E = 5.4 in. 11) A box of instant brownies has the list of ingredients shown in the table. Use this information to find the amount of the stated ingredient you would need to make the indicated number of servings. Ingredient Water Oil Nuts Brownie Mix For 12 Servings 3 tablespoons 1 4 cup 1 2 cup cups Amount of oil for 16 servings Use a proportion to solve the problem. 12) The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 120 yards with a 7-iron, how far should he average with a 5-iron? 3

4 13) The ratio of the width to the length of a picture frame is 8 to 13. If the width of the frame is 10 inches, what is its length? 14) The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5. If a golfer averages 109 yards with a pitching wedge, how far should she average with an 8-iron? 15) The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 48 centimeters long plays a B, what is the length of the string that plays a D? 16) The ratio of the lengths of strings that play the notes D and A is 3 to 2. If a string 99 centimeters long plays a D, what is the length of the string that plays an A? 17) On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 651 times per mile, how many times does she turn the pedal in one mile? 4

5 18) A poll of 1300 people indicated that 3 out of 5 people were planning on voting in the next election. Of the people who intend to vote 11 out of 20 will vote for the Republican candidate. How many people in the poll will vote for the Republican candidate? Write as a decimal. 19) 0.029% 20) 0.4% 21) 0.75% 22) 20% 23) 63.5% 5

6 Write as a percent. 24) 3 25) ) ) ) Write any percent as a decimal and any decimal as a percent. 29) A record store downtown is offering 3% off all purchases for the month of December. 6

7 30) Only 0.5% of those polled had heard the news. 31) The telethon raised 703% of its anticipated goal. 32) of all math majors at a certain university double major in music. 33) Sales this year were 7.6 times last year's sales. Solve the problem. 34) What is 100% of $260? 35) What is 50% of 17 minutes? 7

8 36) What is 50% of 1920 employees? 37) The price of Enrico's plane ticket is $769. Enrico's father wil pay 50% of the cost. How much will Enrico's father pay? 38) What is 100% of miles? 39) There are 40 students in the class. 100% of the students own a car. How many of the students own a car? 40) Last month, a company sold 422 video games. This month, the company sold 500% of that amount. How many were sold this month? 41) In a course with 300 students, 10% received an A on the final exam. How many students earned an A? 8

9 42) The following bar graph shows the ranking of the top items sold at a local sporting event and the percent of fans selecting each item. What portion of fans purchased nothing? Write the answer as a percent and as a decimal. 9

10 43) A survey of the 4495 vehicles on the campus of State University yielded the following circle graph. 7% 18% 32% 9% 8% 26% Together, what percent of the vehicles are either vans or convertibles? Write a percent for both the shaded and unshaded parts of the figure. 44) 45) 10

11 46) 11

12 Answer Key Testname: M20_5.5, 6.1 1) 216 yards 2) 3.4 centimeters 3) 4.5 hour(s) 4) 1116 lines 5) 87.2 kilometers 6) $1.71 7) 21 hours 8) 12 meters 9) 17.2 feet, 16 feet 10) 14 feet, 10.4 feet 11) 1 3 cup 12) 144 yards 13) inches 14) yards 15) 81 centimeters 16) 66 centimeters 17) 372 times 18) 429 people 19) ) ) ) ) ) 300% 25) 43.9% 26) 20% 27) 169% 28) 56.3% 29) ) ) ) 0.3% 33) 760% 34) $260 35) 8.5 minutes 36) 960 employees 37) $ ) miles 39) 40 students 40) ) 30 42) 35%, ) 27% 44) 64% shaded; 36% unshaded 45) 70% shaded; 30% unshaded 46) 100% shaded; 0% unshaded 12

Measurement: Converting Distances

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