Chapters 6 & 7 Exam Review Math 0306 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find fraction notation for the ratio. You need not simplify. 1) 86 to 225 1) 2) 4.7 to 41 2) 3) 7.8 to 8.6 3) 4) 3 7 8 to 6 1 4 4) 5) A baseball team has played 7 games so far this season. The team has won 6 games. What is the ratio of games won to games played so far? 5) 6) In a three-point shooting contest, a basketball player attempted 25 shots and made 17 of them. Find the ratio of shots made to shots missed. 6) 7) In the rectangle shown below, what is the ratio of length to width? of width to length? 7) 215 129 8) At an advertising agency that employs 211 people, 121 employees receive 4 weeks of paid vacation each year. Find the ratio of those who receive 4 weeks of paid vacation to those whose paid vacation is not 4 weeks. 8) Find the ratio of the first number to the second and simplify. 9) 15 to 21 9) 10) 8 to 18 10) 11) 8 1 7 to 8 1 2 11) 12) 1.8 to 5.4 12) 13) 5 1 4 to 5 1 3 13) 1
Find the rate, or speed, as a ratio of distance to time. Round where appropriate. 14) 80 mi, 4 hr 14) Find the ratio of the first number to the second and simplify. 15) 32 to 68 15) Find the rate, or speed, as a ratio of distance to time. Round where appropriate. 16) 45 m, 14 sec 16) Solve. 17) Tim's car will go 250 miles on 10 gallons of gasoline in city driving. What is the rate in miles per gallon? 17) 18) While walking, Joe's heart beats 3944 times in 40 minutes. What is the rate in beats per minute? 18) Determine whether the two pairs of numbers are proportional. 19) 25, 30 and 3, 5 19) 20) 24, 18 and 4, 3 20) 21) 5 1 5, 6 and 2 3 4, 7 1 2 21) 22) 28, 6 and 42, 9 22) Solve. 23) x 33 = 1 11 23) 24) 1 2 = x 13 24) 25) 60 12 = 30 n 25) 26) 2 11 = 6.7 y 26) 27) 4.24 p = 10.6 14.8 27) Find decimal notation. 28) 68% 28) 2
Give three kinds of notation for the percent. 29) 130% 29) 30) 30% 30) Find decimal notation. 31) 80% 31) 32) 530% 32) Find decimal notation for the number in percent notation. 33) Only 0.8% of those polled had heard the news. 33) 34) At a certain company 93.7% of the employees have engineering degrees. 34) Find percent notation. 35) 0.9 35) 36) 0.00017 36) Find percent notation for the number in decimal notation. 37) 0.001 of all math majors at a certain university double major in music. 37) 38) Sales this year were 5.3 times last year's sales. 38) Find percent notation. 39) 4.3 39) 40) 86 100 40) 41) 17 20 41) 42) 3 16 42) Find percent notation for the fraction notation in the sentence. 43) 24 of the employees of one company say that they have job satisfaction. 43) 25 44) 380 of those polled said that they disagreed with the mayor. 44) 500 3
45) 49 of those diagnosed with a certain disease survive at least five years. 45) 50 Find fraction notation and simplify. 46) 425% 46) 47) 12.5% 47) 48) 0.375% 48) 49) 23.6% 49) Find fraction notation for the percent in the problem. 50) A serving of cooked white rice provides 7% of the daily value of an essential mineral. 50) 51) Sales of a particular product increased 21% over last year's sales of the product. 51) Translate to an equation. Do not solve. 52) 54% of 74 is what? 52) 53) What percent of 41 is5? 53) Solve the problem. Round your answer to two decimal places if necessary. 54) What is 0.6% of 1000? 54) 55) What is 86% of 432? 55) 56) What is 3000% of 140? 56) Solve the problem. Round to the nearest unit. 57) 24 is 6% of what? 57) 58) 50% of what is 80? 58) 59) 9 1 % of what is 85? 59) 2 Solve the problem. Round your answer to the tenth of a percent. 60) 982 is what percent of 769? 60) 61) What percent of 2365 is 24? 61) 62) What percent of 9 is 0.02? 62) 4
Solve the problem. Round your answer to two decimal places if necessary. 63) 88% of 368 is what? 63) 64) 0.5% of 8800 is what? 64) 65) 190% of 4050 is what? 65) Solve the problem. Round to the nearest unit. 66) 46% of what is 81? 66) 67) 169 is 33% of what? 67) 68) 80 is 128% of what? 68) Solve the problem. 69) The normal gasoline mileage of a car is 46 mpg. On a smooth road, its mileage is 12% higher. What is its mileage on a smooth road? Round your answer to the nearest tenth. 69) 70) After using a new order of typewriter ribbons, John's Office Services found that a new ribbon could be used to type 88 pages. This was a decrease of 14.5% of pages from the old ribbons. How many pages could John's Office Services type with an old ribbon? Round your answer to the nearest whole number. 70) 71) Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $199,221. Find the amount of last year's sales. Round your answer to the nearest dollar. 71) Find the simple interest. Round your answer to the nearest cent. 72) Principal = $3200 Interest Rate = 7 1 2 % 72) Time in years = 9 73) Principal = $30,000 Interest Rate = 4 3 8 % 73) Time in years = 1 Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent. 74) Annie's cafe borrows $6200 at 6% for 50 days. Find the total amount that must be repaid 74) after 50 days. 75) Allan borrowed $5500 from his father to buy a car. He repaid him after 11 months with interest of 8% per year. Find the total amount he repaid. 75) Find the average for the set of numbers. 76) 51, 61, 37, 57, 34 76) 5
77) 144, 180, 210, 138, 198, 222 77) 78) 2.4, 6.4, 6.1, 1.7, 5.3 78) Find the median for the set of numbers. 79) 64, 60, 211, 170, 275, 249, 237 79) 80) 6, 6, 28, 10, 29, 48, 40, 38 80) 81) 1.5, 3.5, 9.1, 6.1 81) Find any modes that exist. 82) 20, 28, 46, 28, 49, 28, 49 82) 83) 104, 141, 156, 104, 188, 199, 162 83) 84) 7.05, 7.41, 7.56, 7.05, 7.88, 7.99, 7.62 84) Solve the problem. 85) The five sales people at Southwest Appliances earned commissions last year of $20,000, $22,000, $44,000, $15,000, and $35,000. Find the average commission. 85) 86) Six students keep track of their weekly gasoline bills. The gas bills from the students during a certain week are: $80, $47, $32, $47, $29, $80. Find the mode of the data if it exists 86) 87) You decide to keep track of the number of text messages you send each day. You record the following data: 8, 4, 25, 10, 27, 45, 38, 38. Find the median number of text messages you sent. 87) 88) To get a C in history, Nandan must average 73 on four tests. Scores on the first three tests were 69, 75, and 63. What is the lowest score that Nandan can get on the last test and still receive a C? 88) 6
Use the pictograph to answer the question. 89) For selected countries, this pictograph shows approximately how many kilograms of seafood are consumed by each person (per capita) annually. 89) 445 Which country consumes the most seafood? 90) This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years. Year Projected CD Sales 2014 2013 2012 2011 2010 2009 2008 = 1000 CDs 90) In which year will the greatest number of CDs be sold? 7
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. 91) How many students are majoring in English? 91) 92) Which major has the largest number of students? 92) 93) How many more students are majoring in math than in science? 93) 94) What is the average number of students taking Math, Science, and English? Round your answer to the nearest whole student if necessary. 94) Use the graph to answer the question. 95) Which month in 2000 had the lowest sales? 95) 96) What were the total sales for 2000? 96) 97) What was the difference between the highest and lowest monthly sales in 2000? 97) 8
Use the circle graph to solve the problem. 98) A survey of the 4308 vehicles on the campus of State University yielded the following circle graph. 98) 7% 18% 35% 8% 6% 26% What percent of the vehicles are hatchbacks? 99) The circle graph shows the percent of the total population of 35,000 of Springfield living in the given types of housing. 99) 38% 36% 1% 8% 17% Find the number of people who live in townhouses. Round your result to the nearest whole number. 9
100) There are 19,000 students attending the local university. The circle graph shows the percentage of those students who attend different sporting events. 100) 6% 13% 38% 19% 24% How many students attend Basketball and Baseball games? 10