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501 Math Word Problems36. Lance has 70 cents, Margaret has three-fourths of a dollar, Guy has twoquarters and a dime, and Bill has six dimes. Who has the most money?a. Lanceb. Margaretc. Guyd. Bill37. The students at Norton School were asked to name their favorite type ofpet. Of the 430 students surveyed, 258 said that their favorite type of petwas a dog. Suppose that only 100 students were surveyed, with similarresults, about how many students would say that a dog is their favoritetype of pet?a. 58b. 60c. 72d. 4638. A group of five friends went out to lunch. The total bill for the lunch was 53.75. Their meals all cost about the same, so they wanted to split the billevenly. Without considering tip, how much should each friend pay?a. 11.25b. 12.85c. 10.75d. 11.5039. The value of a computer is depreciated over five years for tax purposes(meaning that at the end of five years, the computer is worth 0). If abusiness paid 2,100 for a computer, how much will it have depreciatedafter 2 years?a. 420b. 1,050c. 820d. 84040. Steve earned a 96% on his first math test, a 74% on his second test, and an85% on his third test. What is his test average?a. 91%b. 85%c. 87%d. 82%8Team-LRN

501 Math Word Problems41. A national park keeps track of how many people per car enter the park.Today, 57 cars had 4 people, 61 cars had 2 people, 9 cars had 1 person, and5 cars had 5 people. What is the average number of people per car? Roundto the nearest person.a. 2b. 3c. 4d. 542. A large pipe dispenses 750 gallons of water in 50 seconds. At this rate, howlong will it take to dispense 330 gallons?a. 14 secondsb. 33 secondsc. 22 secondsd. 27 seconds43. The light on a lighthouse blinks 45 times a minute. How long will it takethe light to blink 405 times?a. 11 minutesb. 4 minutesc. 9 minutesd. 6 minutes44. A die is rolled and a coin is tossed. What is the probability that a 3 will berolled and a tail tossed?a. 12 b.c.d.1 61 121 845. Wendy has 5 pairs of pants and 8 shirts. How many different combinationscan she make with these items?a. 13b. 24c. 40d. 219Team-LRN

501 Math Word Problems46. Audrey measured the width of her dining room in inches. It is 150 inches.How many feet wide is her dining room?a. 12 feetb. 9 feetc. 12.5 feetd. 10.5 feet47. Sharon wants to make 25 half-cup servings of soup. How many ounces ofsoup does she need?a. 100 ouncesb. 250 ouncesc. 200 ouncesd. 6.25 ounces48. Justin weighed 8 lb 12 oz when he was born. At his two-week check-up, hehad gained 8 ounces. What was his weight in pounds and ounces?a. 9 lbb. 8 lb 15 ozc. 9 lb 4 ozd. 10 lb 2 oz49. One inch equals 2.54 centimeters. The dimensions of a table made inEurope are 85 cm wide by 120 cm long. What is the width of the table ininches? Round to the nearest tenth of an inch.a. 30 inchesb. 215.9 inchesc. 33.5 inchesd. 47.2 inches50. A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marbleis selected at random. What is the probability that the marble chosen isblue?a. 143 b.c.d.3 83 163 510Team-LRN

501 Math Word Problems51. The operator of an amusement park game kept track of how many tries ittook participants to win the game. The following is the data from the firstten people:2, 6, 3, 4, 6, 2, 8, 4, 3, 5What is the median number of tries it took these participants to win thegame?a. 8b. 6c. 4d. 252. Max goes to the gym every fourth day. Ellen’s exercise routine is to goevery third day. Today is Monday and both Max and Ellen are at the gym.What will the day of the week be the next time they are BOTH at thegym?a. Sundayb. Wednesdayc. Fridayd. Saturday53. Danny is a contestant on a TV game show. If he gets a question right, thepoints for that question are added to his score. If he gets a question wrong,the points for that question are subtracted from his score. Danny currentlyhas 200 points. If he gets a 300-point question wrong, what will his scorebe?a. 100b. 0c. 200d. 10054. Write 3.5 104 in decimal -LRN

501 Math Word Problems55. The Ravens played 25 home games this year. They had 9 losses and 2 ties.How many games did they win?a. 14b. 11c. 13d. 1256. The temperature at midnight was 4 F. By 2 A.M. it had dropped 9 F. Whatwas the temperature at 2 A.M.?a. 13 Fb. 5 Fc. 4 Fd. 0 F57. Find the next number in the following pattern.320, 160, 80, 40, . . .a. 35b. 30c. 10d. 2058. Which of the following terms does NOT describe the number 9?a.b.c.d.primeintegerreal numberwhole number59. Which expression below is equal to 5?a.b.c.d.(1 2)29 2211 10 545 3 360. A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south.Where is the bus in relation to the hotel?a. 2 blocks northb. 1 block westc. 3 blocks southd. 4 blocks east12Team-LRN

501 Math Word Problems61. Each week Jaime saves 25. How long will it take her to save 350?a.b.c.d.12 weeks14 weeks16 weeks18 weeks62. Ashley’s car insurance costs her 115 per month. How much does it costher per year?a. 1,150b. 1,380c. 980d. 1,05563. The ratio of boys to girls at the dance was 3:4. There were 60 girls at thedance. How many boys were at the dance?a. 45b. 50c. 55d. 4013Team-LRN

501 Math Word ProblemsAnswer Explanations1. d. Work backwards to find the solution. George has 5 cousins, which is 11less than Bonnie has; therefore, Bonnie has 16 cousins. Bonnie has twiceas many as Robert has, so half of 16 is 8. Robert has 8 cousins.milk 210 2. c. Set up a proportion with soda ; 5 x . Cross multiply and solve; (5)(10) 2x. Divide both sides by 2; 520 22 x ; x 25 sodas.3. b. To earn an average of 93% on four tests, the sum of those four testsmust be (93)(4) or 372. The sum of the first three tests is 85 92 95 272. The difference between the needed sum of four tests and the sumof the first three tests is 100. He needs a 100 to earn a 93 average.4. c. To find the number of boxes needed, you should divide the number ofcans by 40; 320 40 8 boxes.5. d. From 10 A.M. Friday to 10 A.M. Saturday is 24 hours. Then, from 10A.M.Saturday to 6 P.M. Saturday is another 8 hours. Together, thatmakes 32 hours.6. b. Use the order of operations and try each option. The first option resultsin 14 because 2 5 10, then 10 4 14. This does not work. Thesecond option does result in 18. The numbers in parentheses are addedfirst and result in 9, which is then multiplied by 2 to get a final answerof 18. Choice c does not work because the operation in parentheses isdone first, yielding 6, which is then multiplied by 5 to get a result of 30.Choice d does not work because the multiplication is done first, yielding8, which is added to 5 for a final answer of 13.7. a. Multiply the number of miles (9) by the amount pledged per mile( 0.50); 9 0.50 4.50. To multiply decimals, multiply normally, thencount the number of decimal places in the problem and place thedecimal point in the answer so that the answer has the same number ofdecimal places as the problem.8. d. To find the square root ( ) you ask yourself, “What numbermultiplied by itself gives me 36?” 6 6 36; therefore, 6 is the squareroot of 36.9. c. Mr. Brown plows 6 acres an hour, so divide the number of acres (21) by6 to find the number of hours needed; 21 6 3.5 hours.14Team-LRN

501 Math Word Problems10. d. This is the only answer choice that has only PRIME numbers. A primenumber is a number with two and only two distinct factors. In choice a,42 is not prime. In choice b, 4 and 6 are not prime. In choice c, 6 is notprime.11. c. 25 2 2 2 2 2 3212. b. Visualize a number line. The distance from 4 to 0 is 4. Then, thedistance from 0 to 63 is 63. Add the two distances together to get 67;63 4 67.13. d. Exceeded means “gone above.” Therefore, if they exceeded their goal of 9,500 by 2,100, they went over their goal by 2,100; 9,500 2,100 11,600. If you chose a, you subtracted 2,100 from 9,500 instead ofadding the two numbers.14. a. Subtract Mt. Kilimanjaro’s height from Mt. Everest’s height; 29,028 19,340 9,688. If you chose b, you did not borrow correctly whensubtracting.15. a. To find the area of a square, you multiply the length of a side by itself,because all the sides are the same length. What number multiplied byitself is 64? 8 8 64.16. b. Subtract the number of students present from the total number in theclass to determine how many students are missing; 26 21 5.17. c. Divide the money raised by three to find the amount each charity willreceive; 1,569 3 523.18. d. Find the number of points scored on two-point baskets by multiplying 2 10; 20 points were scored on two-point baskets. Find the number ofpoints scored on three point baskets by multiplying 3 2; 6 points werescored on three-point baskets. The total number of points is the sum ofthese two totals; 20 6 26.19. a. From 2:15 P.M. to 4:15 P.M. is 2 hours. Then, from 4:15 P.M. to 4:45 P.M.is another half hour. This is a total of 2.5 hours.20. b. There is a 1 in 6 chance of rolling a 5 because there are 6 possibleoutcomes on a die, but only 1 outcome is a 5.21. a. Find the rate at which Susan is traveling by dividing her distance bytime; 114 2 57 mph. To find out how long it will take her to travel285 miles, divide her distance by her rate; 285 57 5 hours.15Team-LRN

501 Math Word Problems22. d. Divide the miles by the time to find the rate; 3,060 5 612 mph.23. c. He spent 72 on pants (3 24 72) and 90 on shirts (5 18 90).Altogether he spent 162 ( 72 90 162). If you chose a, youcalculated the cost of ONE pair of pants plus ONE shirt instead ofTHREE pants and FIVE shirts.24. b. There are 100 cm in a meter. A square meter is 100 cm by 100 cm. Thearea of this is 10,000 sq cm (100 100 10,000).25. a. There are 36 inches in a yard; 4 36 144 inches. There are 144 inchesin 4 yards.26. c. To find the number of hours needed to burn 750 calories, divide 750 by500; 750 500 1.5 hours.27. b. Visualize a number line. The drop from 31 to 0 is 31 . There are still9 more degrees to drop. They will be below zero. 9 F is thetemperature at midnight.28. a. Divide the total sales ( 1,260) by the number of tickets sold (210) tofind the cost per ticket; 1,260 210 6.129. c. A 10 second count is 6 of a minute. To find the number of beats perminute, multiply the beat in 10 seconds by 6; 11 6 66 beats perminute.30. c. The probability of heads does not change based on the results ofprevious flips. Each flip is an independent event. Therefore, theprobability of getting heads is 12 .31. b. To find the median, first put the numbers in order from least to greatest.56, 72, 87, 89, 93. The middle number is the median. 87 is in themiddle of the list, therefore, it is the median. If you chose a, you forgotto put the numbers in order before finding the middle number.32. a. List the factors of 24 and 64. The largest factor that they have incommon is the greatest common factor.Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 64: 1, 2, 4, 8, 16, 32, 64The largest number that appears in both lists is 8.33. d. Find the total number of slices by multiplying 3 by 8 (3 8 24). Thereare 24 slices to be shared among 12 coworkers. Divide the number ofslices by the number of people to find the number of slices per person;24 12 2 slices per person.16Team-LRN

501 Math Word Problems34. a. Divide the number of people by the number that fit on a bus; 125 48 2.604. They need more than 2 buses, but not quite 3. Since you can’torder part of a bus, they will need to order 3 buses.35. d. Change all the answer choices to their decimal equivalents. Choice a isstill 0.6; choice b is 0.6; choice c is 0.6 (3 5); choice d is 0.06; 0.06 isnot equivalent to the other numbers.36. b. Lance has 70 cents. Three-fourths of a dollar is 75 cents, so Margarethas 75 cents. Guy has 60 cents (25 25 10 60). Bill has 60 cents(6 10 60). Margaret has the most money.37. b. Finding what 100 students would say is the same as finding the percent,because percent means “out of 100.” To find the percent, divide thenumber of students who said a dog was their favorite (258) by the totalnumber of students surveyed (430); 258 430 0.6. Change 0.6 to apercent by moving the decimal two places to the right. 60%. Thismeans that 60 out of 100 students would say dog.38. c. Divide the bill by 5; 53.75 5 10.75. They each pay 10.75.39. d. Find how much it depreciates over one year by dividing the cost by 5; 2,100 5 420. Multiply this by 2 for two years; 420 2 840. Itwill have depreciated 840.40. b. Add the test grades (96 74 85 255) and divide the sum by thenumber of tests (255 3 85). The average is 85%.41. b. Find the total number of people and the total number of cars. Then,divide the total people by the total cars.People:57 4 22861 2 1229 1 95 5 25TOTAL 384 peopleCars:57 61 9 5 132384 132 2.9 which is rounded up to 3 people because 2.9 is closer to3 than it is to 2.42. c. Find the number of gallons per second by dividing 750 by 50 (750 50 15 gallons per second). Divide 330 gallons by 15 to find how manyseconds it will take (330 15 22 seconds). It will take 22 seconds.17Team-LRN

501 Math Word Problems43. c. Divide 405 by 45 to get 9 minutes.44. c. Find the probability of each event separately, and then multiply theanswers. The probability of rolling a 3 is 16 and the probability of tossinga tail is 12 . To find the probability of both of them happening, multiply1 6 12 112 . The probability is 112 .45. c. Multiply the number of choices for each item to find the number ofcombinations (5 8 40). There are 40 combinations.46. c. There are 12 inches in a foot. Divide 150 by 12 to find the number offeet; 150 12 12.5 feet.47. a. One cup is 8 ounces, so half a cup is 4 ounces. Multiply 25 by 4 ouncesto find the number of ounces needed; 25 4 100 ounces.48. c. There are 16 ounces in a pound. If Justin gains 8 ounces he will be 8pounds and 20 ounces. The 20 ounces is 1 pound and 4 ounces. Add thisto the 8 pounds to get 9 pounds and 4 ounces.49. c. Divide the width (85 cm) by 2.54 to find the number of inches; 85 2.54 33.46 inches. The question says to round to the nearest tenth(one decimal place), which would be 33.5 inches.blue50. b. The probability of blue is tot al . The number of blue marbles is 6, and thetotal number of marbles is 16 (3 6 5 2 16). Therefore, theprobability of choosing a blue is 166 38 .51. c. First, put the numbers in order from least to greatest, and then find themiddle of the set.2, 2, 3, 3, 4, 4, 5, 6, 6The middle is the average (mean) of the 5th and 6th data items. Themean of 4 and 4 is 4.52. d. A chart like the one below can be used to determine which days Maxand Ellen go to the gym. The first day after Monday that they bothgo—Saturday—is the answer.ayStodMTuWM,EEMEThFSEMM,Enext day theyare both atthe gym18Team-LRN

501 Math Word Problems53. a. 200 300 100 points54. b. Move the decimal point 4 places to the right to get 35,000.55. a. Eleven games are accounted for with the losses and ties (9 2 11).The remainder of the 25 games were won. Subtract to find the gameswon; 25 11 14 games won.56. b. If the temperature is only 4 and drops 9 , it goes below zero. It drops4 to zero and another 5 to 5 F.5 4 3 2 1 0 1 2 3 4 5 6 57. d. Each number is divided by 2 to find the next number; 40 2 20.Twenty is the next number.58. a. Nine is NOT prime because it has 3 factors; 1, 3, and 9. Prime numbershave only 2 factors.59. b. The correct order of operations must be used here. PEMDAS tells youthat you should do the operations in the following order:Parentheses, Exponents, Multiplication and Division—left to right,Addition and Subtraction—left to right.9 22 9 4 5a is (1 2)2 (3)2 9c is 11 10 5 11 50 39d is 45 3 3 15 3 4519Team-LRN

501 Math Word Problems60. d. See the diagram below. They are 4 blocks east of the hotel. End Hotel4 blocks east61. b. Divide 350 by 25; 350 25 14 weeks.62. b. Multiply 115 by 12 because there are 12 months in a year; 115 12 1,380 per year.63. a. Use a proportion comparing boys to girls at the dance.boys gir ls3 4 6x 0Solve the proportion by cross-multiplying, setting the cross-productsequal to each other and solving as shown below.(3)(60) 4x180 4x1804x 4445 xThere were 45 boys.20Team-LRN

2FractionsIn order to understand arithmetic in general, it is important to practiceand become comfortable with fractions and how they work. The problemsin this chapter help you practice how to perform basic operations withfractions and will assist you in understanding their real-world applications.11164. Lori ran 5 2 miles Monday, 6 4 miles Tuesday, 4 2 miles Wednesday,and 2 34 miles on Thursday. What is the average number of milesLori ran?a. 5b. 4 12 c. 4d. 4 34 3165. Last year Jonathan was 60 4 inches tall. This year he is 65 4 inchestall. How many inches did he grow?a. 5 12 b. 4 12 c. 4 14 d. 5 34 Team-LRN

501 Math Word Problems366. Larry spends 4 hour twice a day walking and playing with his dog. He alsospends 16 hour twice a day feeding his dog. How much time does Larryspend on his dog each day?a. 11 12 hourb. 1 12 hoursc. 1 56 hoursd. 1 25 hours367. The first section of a newspaper has 16 pages. Advertisements take up 3 8 of the pages. How many pages are not advertisements?a. 12 58 b. 19 38 c. 13d. 12 12 368. Lisa was assigned 64 pages to read for English class. She has finished 4 ofthe assignment. How many more pages must she read?a. 48b. 21c. 16d. 81169. Mark has three 4 2 oz cans of tomatoes and five 8 4 oz cans. How manyounces of tomatoes does Mark have?a. 12 34 b. 54 34 c. 54d. 62 14 11170. Joe walked 2 2 miles to school, 3 mile to work, and 1 4

math skills. How to Use This Book First, look at the table of contents to see the types of math topics covered in this book. The book is organized in six sections: Miscellaneous Math, Fractions, Decimals, Percents, Algebra, and Geometry. The structure follows a common sequence of math conc