MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a fraction to represent the shaded part of the object. 1) A) C) 3 4 2) D) 1 4 A) C) 5 1 D) 1 5 1

2 3) A) C) 3 4 D) 1 4 4) A) C) 5 1 D) 5 6 5) A) C) 3 8 D) 5 3 2

3 6) A) C) 3 5 D) 5 3 7) A) C) 3 8 D) 5 8 8) A) C) 4 9 D) 5 9 3

4 9) A) C) 7 12 D) ) A) C) 7 16 D) 7 9 4

5 Draw a sketch to illustrate the fractional part. 11) 4 7 of an object A) C) D) 12) 3 8 of an object A) C) D) 13) 5 8 of an object A) C) D) 5

6 14) 4 of an object 9 A) C) D) 15) 7 9 of an object A) C) D) 16) 7 of an object 10 A) C) D) 6

7 17) 3 of an object 10 A) C) D) 18) 4 of an object 11 A) C) D) 19) 6 of an object 11 A) C) D) 7

8 20) 8 of an object 11 A) C) D) Write the fraction. 21) Of the 227 students at a high school, 58 are juniors. What fraction of the students are juniors? A) C) D) ) Of the 157 students at a high school, 35 are freshmen. What fraction of the students are NOT freshmen? A) C) D)

9 23) Of the 103 doctors at a hospital, 97 are men. What fraction of the doctors are men? A) C) 97 6 D) ) Of the 109 executives at a private accounting firm, 50 are women. What fraction of the executives are NOT women? A) C) D) ) According to a recent study, 16 out of 25 visits to a hospital emergency room were for an injury. What fraction of emergency room visits were injury-related? A) C) D) ) According to a recent study, 9 out of 15 visits to a hospital emergency room were for an injury. What fraction of emergency room visits are NOT injury-related? A) C) 15 6 D)

10 27) There are 100 centimeters in a meter. What fractional part of a meter does 21 centimeters represent? A) C) D) ) In a composition class containing 79 students, there are 20 freshmen, 23 sophomores, 9 juniors, and the rest are seniors. What fraction of the class is seniors? A) C) D) ) At Smith's Apple Orchard one day, 56 people were picking apples, 19 people were picking pumpkins, and 25 people were picking raspberries. What fractional part of the people were picking pumpkins? A) C) D) ) At Smith's Apple Orchard one day, 58 people were picking apples, 31 people were picking pumpkins, and 11 people were picking raspberries. What fractional part of the people were picking either apples or pumpkins? A) C) D)

11 Name the numerator and the denominator in the fraction. 31) 2 3 A) Numerator 3 Denominator 2 Numerator 2 Denominator 3 C) Numerator 5 Denominator 1 3 D) Numerator 2 Denominator 2 Write the number as a product of prime factors. 32) ) ) ) 249 A) C) 72 3 D) A) C) D) A) C) D) A) C) D)

12 36) 20 A) C) 52 37) 63 D) 22 5 A) C) D) ) ) ) 10 A) C) D) A) C) D) A) C) 2 5 D)

13 Reduce the fraction by finding a common factor in the numerator and in the denominator and dividing by the common factor. 41) A) C) ) D) 5 9 A) C) ) D) 4 5 A) C) 1 43 D)

14 44) A) C) 10 7 D) ) A) C) ) D) 8 25 A) C) 17 4 D) ) A) C) D)

15 48) A) C) D) ) A) C) D) ) A) C) 9 26 D)

16 Write the numerator and denominator of the fraction as a product of prime factors. Then write in lowest terms. 51) A) = = C) = D) = ) A) = C) = = ) A) = C) D) = = = 7 4 Solve. Reduce the fraction in your answer. 54) There are 5280 feet in a mile. What fraction of a mile is represented by 144 feet? 3 A) 110 C) D)

17 55) There are 100 centimeters in 1 meter. What fraction of a meter is 60 centimeters? A) C) D) ) A company employs 324,000 employees worldwide. About 82,800 employees work in the United States. What fraction of the employees work in the United States? A) C) , ,000 D) ) A company employs 288,000 employees worldwide. About 14,400 employees work in the United States. What fraction of the employees do NOT work in the United States? A) , ,000 C) 1 20 D) 273, ,000 58) There are 13,300 employees at a company. If 11,900 are females, what fraction of the employees are females? 11,900 A) females 2 19 C) D)

18 59) There are 11,200 employees at a company. If 2100 are females, what fraction of the employees are males? A) C) ,200 D) ) The following graph is called a circle graph or pie chart. Each sector (shaped like a piece of pie) shows the number of each color of marbles that Luke has: 60 are red, 56 are blue, 30 are yellow, 44 are green, and 10 are clear. What fraction of the marbles are red? Write the fraction in simplest form. 60 red 10 clear 56 blue 44 green 30 yellow A) C) 1 5 D) 3 10 Are these fractions equal? 61) 6 8 and A) Yes No 18

19 62) 6 9 and A) No Yes 63) 2 3 and ) 1 9 A) No Yes and A) No Yes 65) and ) 9 21 A) Yes No and A) Yes No Identify if the whole number is prime or composite. 67) 45 A) Prime Composite 68) 47 A) Composite Prime 69) 56 A) Composite Prime 19

20 Change the mixed number to an improper fraction. 70) A) C) 52 7 D) ) A) C) 43 3 D) ) A) C) 29 2 D)

21 73) A) C) 20 4 D) ) A) C) 336 D) 37 75) A) C) 219 D) Solve. 76) By eating right and exercising regularly, Bob lost pounds. Change this number to an improper fraction. A) 27 5 pounds 25 5 pounds C) 25 2 pounds D) 27 2 pounds 21

22 77) The flagpole in front of Jack and Isabelle's house is feet tall. Change this number to an improper fraction. 11 A) 27 feet feet C) feet D) 170 feet 78) The number of pounds of beef served at Jose's restaurant yesterday was pounds. Change this number to an improper fraction. A) 1312 pounds 1644 pounds 5 C) pounds D) 332 pounds Write the improper fraction as a mixed or whole number. 79) 40 3 A) C) ) 17 5 D) A) C) D)

23 81) 11 2 A) C) D) ) ) 13 9 A) C) 28 D) 28 2 A) C) 9 13 D) ) A) C) D)

24 85) A) Solve C) D) ) A) C) 144 D) ) A recipe for baking a cake requires 39 7 A) cups cups of flour. Write this as a mixed number cups C) cups D) 5 cups 88) James bought 34 9 A) gallons 3 gallons C) gallons gallons of gasoline to fill up his car. Write this as a mixed number. D) gallons 24

25 Reduce the mixed number. 89) A) C) D) ) A) C) D) ) A) C) D)

26 92) A) C) D) Reduce the improper fraction. 93) A) C) 7 9 D) ) ) A) C) 2 D) 18 9 A) C) 47 D)

27 Change to a mixed number and reduce. 96) A) C) D) ) A) C) D) ) A) C) D)

28 99) A) C) D) Multiply. Write the answer in simplest form. 100) A) C) ) D) A) C) 5 2 D)

29 102) A) C) 1 8 D) ) A) C) D) ) A) C) 3 14 D) ) A) C) 90 7 D)

30 106) A) C) 9 17 D) 3 40 Solve. Write the answer in simplest form. 107) Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length) (width). A = 4 11 foot B = 1 2 foot A) 2 square foot 11 5 square foot 13 C) 4 square foot 22 D) 4 square foot ) A recipe calls for 2 3 of a pound of sausage. How much sausage should be used if only 1 2 of the recipe is being made? A) 4 3 lb 3 5 lb C) 1 3 lb D) 2 5 lb 30

31 Multiply. Write the answer in simplest form. 109) A) C) 8 D) ) A) C) 10 3 D) 17 3 Solve. Write the answer in simplest form. 111) Find the area of the rectangle. Write the answer in simplest form. Recall that the area = (length) (width). A = 2 5 yard B = 5 yards A) 10 square yards square yards C) 2 square yards D) 27 square yards 5 112) Miara is saving 3 of her monthly income of $5418 for retirement. How much money is she setting aside each 14 month for retirement? A) $129 $1161 C) $387 D) $25,284 31

32 113) Miara's Cinema received $6045 in movie admission tickets for one day. About 3 of this amount was for 13 G-rated movies. Find the amount of money received from G-rated movies. A) $26,195 $155 C) $465 D) $ ) In a research study 6517 people were asked which of three cold remedies they were most likely to use, Remedy A, Remedy B, or Remedy C. It was found that 4 7 of those asked preferred Remedy A. How many of the people asked chose Remedy A? A) 931 people 532 people C) 3724 people D) 2128 people 115) The circle graph below shows the fractional part of the Suarez family's budget spent in each category each month. If the Suarez's income last month was $2000, how much money did they spend on their insurance? Round to the nearest cent, if necessary. A) $90.91 $ C) $ D) $

33 116) In a typical 54-hour work week, Matthew spends 1 of his time in the office. When he is in the office, he spends 3 1 of that time on the phone. How many hours each week does Matthew spend on the phone? 2 A) 54 5 hours 18 hours C) 9 hours D) 27 hours Multiply. Change any mixed number to an improper fraction before multiplying. 117) A) C) 28 D) ) A) C) D) ) A) C) 6 D)

34 120) A) C) D) ) A) C) 7 10 D) ) A) C) 20 D) ) A) C) 3 7 D)

35 124) A) C) D) Solve. 125) Find the area of a square if each side measures 4 9 inches. Hint: The area of a square is the product of the 10 length times the width. A) A = square inches A = square inches 10 C) A = 48 1 square inches 50 D) A = 24 1 square inches ) Maria exercises for hours every Saturday. She runs for 3 5 of the time that she exercises. How much time does she spend running every Saturday. A) hour hours C) 9 15 hour D) hours 35

36 127) Byron rode his bicycle 6 13 miles on each of 4 days. What is the total distance Byron rode? 16 A) miles miles C) miles D) miles 128) Jennifer is building some shelves and requires 15 pieces of wood that are each feet long. What is the total length of wood that Jennifer needs? A) 42 feet 150 feet C) feet D) 30 feet 129) A rectangular flower bed in front of a building measures feet by feet. What is the total area of the flower bed? Hint: The area of a rectangle is the product of the length times the width. A) 17 square feet 21 square feet C) square feet D) 20 square feet Solve for x. 130) 2 3 x = 6 7 A) x = 4 5 x = 4 7 C) x = 9 14 D) x =

37 131) 5 8 x = 4 7 A) x = 3 5 x = C) x = 5 56 D) x = Divide, if possible. Write the answer in simplest form. 132) A) C) 1 4 D) ) A) C) 5 12 D)

38 134) 135) 136) 137) A) C) D) A) C) D) A) C) D) A) C) D)

39 138) A) C) 4 5 D) ) ) A) C) 17 2 D) A) C) D) ) A) C) D) Undefined 39

40 142) A) Undefined C) 5 8 D) 0 143) A) C) D) ) A) C) 3 D) 5 145) A) C) D)

41 146) A) C) 3 4 Solve. D) ) The perimeter of an equilateral triangle (all sides equal) is 8 of a foot. How long is each side? 15 A) 45 8 ft 8 5 ft C) 5 8 ft D) 8 45 ft 148) How many 4 pound boxes of cereal can be made from 10,800 pound of cereal? 15 A) 720 boxes 2700 boxes C) 40,500 boxes D) 2880 boxes 149) How many 1 -ounce doses are available in a 12-ounce container of medicine? 3 A) 1 36 dose 36 doses C) 4 doses D) 33 doses 41

42 Divide, if possible. Write the answer in simplest form. 150) A) C) D) ) A) C) D) ) A) C) 7 D) 9 153) A) C) 3 7 D)

43 154) A) C) D) ) A) C) D) 48 Solve. 156) A) C) D) ) On a recent trip, Asha drove 232 miles on gallons of gasoline. How many miles per gallon did she average? A) miles per gallon miles per gallon C) 85 miles per gallon 1392 D) miles per gallon 43

44 158) Mark is filling decorative oil lamps for a reception. Each lamp can hold 1 7 cup of oil. Mark has 1 1 cups of oil 7 available. How many oil lamps can Mark fill completely? A) oil lamps 7 oil lamps C) 9 oil lamps D) 8 oil lamps 159) Ted walks around a lake on a path that is miles long. It takes him hours to complete his walk. What is his average speed (in miles per hour)? A) 1 43 miles per hour miles per hour 72 C) 2 43 miles per hour 72 D) 1 43 miles per hour ) Toni needs to cut a foot board into 5 equal pieces. How long should each piece be? A) ft ft C) ft D) ft Find the value of x. 161) x 5 7 = 1 2 A) x = 5 14 x = 2 3 C) x = 7 10 D) x =

45 162) x 1 2 = A) x = x = C) x = D) x = Find the least common multiple (LCM) of the pair of numbers. 163) 14 and 6 A) C) 84 D) 2 164) 18 and 30 A) C) 540 D) ) 15 and 6 A) C) 3 D) ) 6 and 7 A) 7 42 C) 6 D) ) 7 and 35 A) C) 35 D) 42 45

46 168) 18 and 15 A) 3 33 C) 270 D) 90 Find the LCD for the set of fractions ) 11, 4 5 A) C) 5 D) ) 5 8, 2 6 A) C) 2 D) ) 8 5, ) 173) A) 50 5 C) 225 D) , 1 24, 1 30 A) C) 40 D) , 1 18, A) C) 18 D) 30 46

47 Build the fraction to an equivalent fraction with the denominator specified. State the numerator ) 11 =? 88 A) 33 3 C) 264 D) ) 12 7 =? 14 A) C) 12 D) ) 1 7 =? 28 A) 4 1 C) 5 D) ) 1 =? 51 A) 1 52 C) 0 D) ) 3 =? 4 A) 7 3 C) 4 D) 12 47

48 The LCD of the pair of fractions is listed. Build each fraction to an equivalent fraction that has the LCD as the denominator. 179) LCD = 14, 1 7 and 7 2 A) 2 14 C) 3 14 and and and D) 1 14 and ) LCD = 90, 7 10 and 4 45 A) and and C) 7 90 and 4 90 D) and ) LCD = 36, 9 4 and 3 18 A) and and 3 36 C) and D) and

49 Find the LCD. Build up the fractions to equivalent fractions having the LCD as the denominator. 182) 2 9 and 1 54 A) and and C) and 1 54 D) and ) 3 8 and 5 7 A) and and C) and D) and ) and A) and and C) and D) and

50 185) 3 8, 4 5, 1 40 A) 15 40, 32 40, , , C) , , D) 8 40, 12 40, ) 1 9, 32 33, A) , , , , C) 11 99, 96 99, D) 12 99, 35 99, Add or subtract. Simplify the answer. 187) A) C) D)

51 188) A) C) 1 3 D) ) A) C) ) D) A) C) 1 3 D) ) A) C) D)

52 192) A) C) D) ) A) C) 2 3 D) ) A) C) 1 2 D) ) A) C) D)

53 196) A) C) D) ) A) C) D) ) A) C) 1 6 D) ) A) C) 2 27 D)

54 200) A) C) 3 7 D) ) A) C) 1 7 D) ) A) C) 1 20 D) ) A) C) 1 2 D)

55 204) ) A) C) D) A) C) 3 16 D) ) A) C) D)

56 Solve. 207) Kevin read 3 14 of a book on Monday. He read 2 5 of the book on Wednesday. What fractional part of the book has Kevin read so far this week? A) 5 of the book was read of the book was read 70 C) 43 of the book was read 19 D) 5 of the book was read ) David drives for 1 15 hour to get his friend Tom's house. He then drives 3 7 hour to get to the bowling alley. How many hours does David spend driving? A) 2 11 hour hour C) hour D) hour 209) While looking through the properties of her 3-1/2 inch diskette, Amy noticed that 5 of the space on the disk 14 was not being used. She deleted four files that were using 1 5 of the disk space. What fractional part of the disk space was free after she deleted the four files? A) 6 of the disk was free 19 6 of the disk was free 70 C) 39 of the disk was free 70 D) 39 of the disk was free 19 56

57 210) A jar is 7 9 full of olives. Claudia eats 1 of the jar of olives. What fractional part of the jar still contains olives? 7 A) 40 of the jar contains olives of the jar contains olives C) 40 9 of the jar contains olives D) 2 of the jar contains olives ) The distance from Ivy's house to the park is 7 8 of a mile. Ivy leaves her house with her dog and walks 1 5 of a mile toward the park. How much farther does she have to walk her dog to get to the park? A) 3 4 of a mile 27 8 of a mile C) 27 of a mile 40 D) 3 of a mile 20 Find the value of x in the equation. 212) x = 5 6 A) x = 4 x = 3 4 C) x = 4 3 D) x = ) x = 2 3 A) x = 7 6 x = 2 C) x = 7 12 D) x =

58 214) x = 1 13 A) x = x = C) x = 4 21 D) x = Add or subtract. Express the answer as a mixed number. 215) A) C) D) ) A) C) D)

59 217) A) C) D) ) A) C) D) ) A) C) D)

60 220) A) C) D) ) A) C) D) ) A) C) D) 7 Solve the problem. 223) Chris rode her bicycle miles on Tuesday. On Thursday, she rode miles. What was her total biking distance for those two days? A) miles miles C) miles D) miles 60

61 224) Kim decided to do some spring cleaning. She spent 4 4 hours cleaning her garage on Saturday. The next day 5 she spent hours cleaning her basement. What was the total amount of time she spent cleaning that weekend? A) hours 7 hours C) hours D) 6 hours 225) Jeffery has two packages. One weighs ounces, and the other weighs 4 9 ounces. What is the total weight of the two packages? A) oz oz C) oz D) oz Add or subtract. Express the answer as a mixed number. 226) A) C) D)

62 227) A) C) D) ) A) ) C) 11 D) A) C) 12 D) ) A) C) D)

63 231) A) C) D) ) A) C) D) ) A) C) D)

64 234) A) C) D) 5 235) A) C) 5 D) Solve the problem. 236) Harry cuts a board feet long from one 15 feet long. How long is the remaining piece? A) 5 feet feet C) feet D) feet 64

65 237) Jerry caught a fish that weighed pounds. Pat caught a fish that weighed 9 6 pounds. How much more did 7 Jerry's fish weigh than Pat's fish? A) pounds pounds C) pounds D) pounds 238) Angie is wrapping a present for her nephew. She has a roll of wrapping paper that has 10 feet of wrapping paper on the roll. She uses feet to wrap the present. How many feet of wrapping paper are left on the roll? A) feet feet C) feet D) feet 239) Last week, Samantha ran 11 miles. This week, she ran miles. How much more did she run last week? A) miles miles C) miles D) miles 65

66 Evaluate using the correct order of operation. 240) A) C) 4 15 D) ) A) C) 8 7 D) ) A) C) D) ) A) C) D) 1 66

67 244) A) 1 5 C) D) ) A) C) 2 9 D) ) A) C) D)

68 247) A) C) 5 4 D) ) ) A) C) D) A) C) D)

69 Solve the problem. 250) Find the perimeter of the triangle. 5 feet feet feet A) feet feet C) feet D) feet 251) Jody is using a recipe that calls for 1 3 cup of milk per batch. If she has cups of milk available, how many batches can she make? A) 26 batches 13 batches C) 14 batches D) 10 batches 252) A recipe for cookies calls for cups of flour. If you are only making a half-batch, how much flour would you need? A) cups cups C) cups D) cups 69

70 253) A recipe for fudge brownies calls for cups of cocoa per batch. If you are making 2 1 batches, how many cups 2 of cocoa are needed? A) cups cups C) cups D) cups 254) A plumber has a 15-ft piece of PVC pipe. He needs to cut the pipe into sections 1 -ft long. How many sections 3 will he be able to cut from the pipe? A) 5 45 C) 44 D) ) A pair of boards needs adjustment. One board is 51 inches and the other is 45 9 inches. Find how much the 16 longer board should be shortened to make both boards the same length. A) in in. C) in. D) in. 256) Robert and Paul each took some chips from a bag of potato chips which contains ounces of chips. Robert took ounces of chips and Paul took ounces of chips. How many ounces of chips were left in the bag? A) ounces ounces C) ounces D) ounces 70

71 257) The car Colleen is driving gets miles per gallon of gas. She used 3 1 gallons of gas going from her home to 5 her grandparents' home. She used another 2 9 gallons traveling from her grandparents' home to her cousin's 10 apartment. What was the total distance Colleen drove? A) 140 miles miles C) miles D) miles 258) To get credit for graduation, Brittany completed 20 hours of community service. She worked at a soup kitchen for 3 8 of the time. She picked up litter along highways for 1 4 of the time. The rest of the hours she spent tutoring younger children after school. How much time did Brittany spend tutoring? A) hours hours C) hours D) 8 hours 259) Elizabeth is making matching holiday outfits for herself and her 3 children. Elizabeth's outfit requires yds of fabric and each child's outfit requires 7 8 yds. She finds a 5-yd remnant on sale. Is this enough material to make all 4 outfits? If not, how much more material is needed? A) No; 3 16 yds Yes 71

72 Solve. 260) Write a fraction to represent the shaded part of the object. A) C) 3 8 D) ) There are 209 students at a high school, 46 students are freshmen. Write a fraction that describes the number of students that are NOT freshmen. A) C) D) Reduce the fraction. 262) A) C) 3 8 D)

73 263) A) ) C) 3 10 D) A) C) D) Change to an improper fraction. 265) A) C) 45 7 D)

74 Change to a mixed number. 266) A) C) Multiply. D) ) A) C) 60 5 D) ) A) C) 3 13 D) ) A) C) 12 D) 10 74

75 Divide. 270) A) C) 3 7 D) ) A) C) D) 1 272) A) C) D) ) A) C) 4 9 D)

76 Find the least common denominator for the set of fractions. 274) 7 9 and 3 21 A) C) 3 D) ) 7 9 and ) A) C) 9 D) , 1 12, 2 5 A) C) 60 D) 30 Build the fraction to an equivalent fraction with the specified denominator. State the numerator ) 15 =? 45 A) 3 45 C) 9 D) 135 Add or subtract. 278) A) C) 1 4 D)

77 279) 280) A) C) D) A) C) D) ) A) C) D) ) A) C) D)

78 Evaluate using the correct order of operations. 283) A) C) 33 D) ) A) C) 9 2 D) 9 16 Solve. 285) A rectangular flower bed in front of a building measures feet by feet. What is the total area of the flower bed? Hint: The area of a rectangle is the product of the length times the width. A) 42 square feet 55 square feet C) 54 square feet D) square feet 286) Jody is using a recipe that calls for 1 2 cup of milk per batch. If she has cups of milk available, how many batches can she make? A) 14 batches 26 batches C) 13 batches D) 10 batches 78

79 287) A jar is 6 7 full of olives. Claudia eats 5 of the jar of olives. What fractional part of the jar still contains olives? 9 A) 1 7 of the jar contains olives 19 of the jar contains olives 63 C) 1 of the jar contains olives 63 D) 19 7 of the jar contains olives 288) Chris rode her bicycle miles on Tuesday. On Thursday, she rode miles. What was her total biking distance for those two days? A) miles miles C) miles D) miles 289) To get credit for graduation, Brittany completed 20 hours of community service. She worked at a soup kitchen for 1 7 of the time. She picked up litter along highways for 1 5 of the time. The rest of the hours she spent tutoring younger children after school. How much time did Brittany spend tutoring? A) hours hours C) hours D) hours 290) Mark is filling decorative oil lamps for a reception. Each lamp can hold 1 7 cup of oil. Mark has cups of oil available. How many oil lamps can Mark fill completely? A) 9 oil lamps oil lamps C) 7 oil lamps D) 8 oil lamps 79