<Replace with Your Name> (75)
Final 11111-S Page 1
FINAL
<Replace with your name> (75)
Basic Mathematics
Facilitator: Enos L. Russell, Ph.D.
Directions –Type the letter of the Correct response to each question in the empty box to the left of each question number. Save a copy of the Test on your computer and post a copy as an Attachment to a message in your Private Individual Forum. Good luck!
Problems marked by an asterisk (*) or labeled show work and/or justify your answer here will receive no credit without showing work and/or justification.. The box will expand to fit your content. A copy of the SOLUTIONS will be posted in the Course Mat folder on Monday, the day after class ends.A*1. / Evaluate show work and/or justify your answer here
A) / 21
B) / –184
C) / –21
D) / 184
D 2. / Add –66 (–32).
A) / –34
B) / 34
C) / 98
D) / –98
D 3. / Subtract –1.2 (–5.6).
A) / –4.4
B) / 6.8
C) / –6.8
D) / 4.4
A 4. / Multiply (–1.6)(8)(–3).
A) / 38.4
B) / 384
C) / –102.4
D) / –14.4
C 5. / Divide
A) / 3
B) / 50
C) / 9
D) / 4
D*6. / Perform the indicated operation. show work and/or justify your answer here
A) /
B) / 12
C) /
D) / Undefined
A 7. / In the number 549,158,102 what number tells the number of ten millions?
A) / 4
B) / 9
C) / 1
D) / 5
C*8. / Adrienne opened a checking account and made deposits of $65 and $394. She wrote checks during the month for $31, $26, $82, and $187. What was her balance at the end of the month? show work and/or justify your answer here
Balance = 65+394-31-26-82-187 = 133
A) / $113
B) / $123
C) / $133
D) / $143
A 9. / There are 42 accounting classes with 19 students in each class. Estimate the total number of students in the accounting classes.
A) / 800 students
B) / 600 students
C) / 1,200 students
D) / 1,000 students
C*10. / Kell is separating a deck of 52 cards into 8 equal piles. How many cards will be left over? show work and/or justify your answer here
A) / 8
B) / 6
C) / 4
D) / 5
C*11. / Jamal is fencing a rectangular field that measures 28 ft by 24 ft. How much fencing should he buy? show work and/or justify your answer here
A) / 52 feet
B) / 627 feet
C) / 104 feet
D) / 627 square feet
D 12. / A shipping container is 7 ft by 6 ft by 2 ft. What is its volume?
A) / 15 ft3
B) / 68 ft3
C) / 136 ft3
D) / 84 ft3
B13. / Choose the correct prime factorization of the number 110.
A) / 1 2 5 11
B) / 2 5 11
C) / 2 2 11
D) / 2 5 5
D*14. / Choose the correct greatest common factor of 105 and 147. show work and/or justify your answer here
A) / 63
B) / 20
C) / 15
D) / 21
A 15. / At lunch, 7 people out of a group of 14 had hamburgers. What fraction names the part of the group who had hamburgers? What fraction names the part who did not have hamburgers?
A) / Had hamburgers: did not have hamburgers:
B) / Had hamburgers: did not have hamburgers:
C) / Had hamburgers: did not have hamburgers:
D) / Had hamburgers: did not have hamburgers:
D 16. / Can or be simplified? show work and/or justify your answer here
T
They are all prime numbers.
A) /
B) / and
C) / All three
D) / None
A*17. / Multiply Write your answer in simplest form. show work and/or justify your answer here
A) /
B) /
C) /
D) /
B*18. / Find of show work and/or justify your answer here
A) /
B) /
C) /
D) /
B 19. / The gas tank in Luigi's car holds 14 gal when full. The car gets 29 mi/gal. How far can he travel on 4 full tanks? show work and/or justify your answer here
A) / 1,064 mi
B) / 1,624 mi
C) / 1,824 mi
D) / 2,024 mi
D*20. / Find the reciprocal of show work and/or justify your answer here
A) /
B) /
C) /
D) /
A*21. / Divide Write the result in simplest form. show work and/or justify your answer here
A) /
B) /
C) /
D) /
D*22. / A stack of plywood is 90 in. high. How many sheets of plywood are in the stack? show work and/or justify your answer here
A) / 125 sheets
B) / 121 sheets
C) / 127 sheets
D) / 120 sheets
D 23. / Add. Write the answer in simplest form.
A) /
B) /
C) /
D) /
B*24. / What is the perimeter of a rectangle if the length is in. and the width is in.? show work and/or justify your answer here
A) / in.
B) / in.
C) / in.
D) / in.
A*25. / Find the least common multiple of 4 and 11. show work and/or justify your answer here
A) / 44
B) / 4
C) / 11
D) / 45
D 26. / Subtract.
A) / 9
B) / 8
C) / 7
D) /
C*27. / Sheila practiced hours Monday, hours Tuesday, and hours Wednesday. What is the total number of hours that she practiced? show work and/or justify your answer here
A) / hours
B) / 6 hours
C) / hours
D) / hours
C*28. / Gasoline is $2 per gallon. You use gallons each day driving to and from work. How much should you budget for gasoline over the next 20 workdays? show work and/or justify your answer here
We would use
Price 30 gallons =
A) / $40
B) / $50
C) / $60
D) / $70
C*29. / Kristi jogged for of an hour, swam for of an hour, and rode her bicycle for of an hour. How long did she exercise? show work and/or justify your answer here
A) / h
B) / h
C) / h
D) / h
A*30. / Jon spent of his study time doing math homework and preparing for a history exam. What fraction of his study time remains? show work and/or justify your answer here
A) /
B) /
C) /
D) /
C 31. / Write in decimal form.
A) / 85,830
B) / 8.583
C) / 8.0583
D) / 8.00583
B 32. / Write the following as a common fraction or mixed number.
0.76
A) /
B) /
C) /
D) /
B 33. / Round to the indicated decimal place.
16.57 tenths
A) / 17.0
B) / 16.6
C) / 16.5
D) / 16.58
C*34. / Flor is putting a fence around a field. The field is rectangular and measures 6.36 yards (yd) long and 14.37 yd wide. How much fence must Flor purchase? show work and/or justify your answer here
A) / 20.73 yd
B) / 27.09 yd
C) / 41.46 yd
D) / 35.1 yd
C*35. / Rainfall for the first 3 months of 2004 was recorded at 2.75, 1.57, and 1.65 inches (in.). If the normal rainfall for that period is 5.25 in., by how much was the 2004 amount above or below normal? show work and/or justify your answer here
Total = 2.75 + 1.57 + 1.65 = 5.97
Difference = 5.97-5.25 = 0.72 above normal
A) / 5.97 in. above normal
B) / 5.97 in. below normal
C) / 0.72 in. above normal
D) / 0.72 in. below normal
D*36. / Jacque earns $7.80 per hour (h). For overtime (each hour over 40 h) he earns $11.70 per h. If he works 48.5 h in a week, what pay should he receive? show work and/or justify your answer here
A) / $534.30
B) / $567.45
C) / $378.30
D) / $411.45
D*37. / Find the circumference of a circle with a radius of 6.5 in. Use 3.14 for and round your answer to one decimal place. show work and/or justify your answer here
Circumreference =
A) / 9.64 inches
B) / 3.36 inches
C) / 20.4 inches
D) / 40.8 inches
C*38. / Find the area of a circle whose diameter is 4.7 centimeters (cm). Use 3.14 for and round your answer to the nearest tenth of a square centimeter. show work and/or justify your answer here
Area =
A) / 34.7
B) / 69.4
C) / 17.3
D) / 8.7
D*39. / Find the area of the shaded part in the figure. Use 3.14 for and round your answer to one decimal place. show work and/or justify your answer here
Shaded area =
A) / 225.0 ft2
B) / 176.6 ft2
C) / 481.5 ft2
D) / 48.4 ft2
B*40. / If the base of a parallelogram is in. and its height is in., what is its area? show work and/or justify your answer here
Area = bh =
A) / in.2
B) / in.2
C) / in.2
D) / in.2
B*41. / A triangle has base 14 feet (ft) and an altitude of 7 ft. Find its area. show work and/or justify your answer here
Area =
A) / 21
B) / 49
C) / 98
D) / 24.5
B*42. / Paolo paid $68.34 for six CDs on sale. What was the cost per CD? show work and/or justify your answer here
A) / $11.29
B) / $11.39
C) / $11.49
D) / $11.59
D43. / Write the ratio 5 to 9 as a fraction.
A) / 1.80
B) / 1
C) /
D) /
B44. / Vivica washes 6 cars in 60 minutes. How many minutes does it take Vivica to wash one car?
A) / 5 minutes
B) / 10 minutes
C) / 15 minutes
D) / 20 minutes
D*45. / Find the best buy on cashews (1 lb is 16 oz). show work and/or justify your answer here
Price per ounces:
A =
B =
C =
D =
A) / 10 oz for $4.79
B) / 12 oz for $5.29
C) / 1 lb for $6.29
D) / 1 lb 4 oz for $7.29
B*46. / Solve for the unknown: show work and/or justify your answer here
Cross multiplication gives:
A) / 5
B) / 6
C) / 7
D) / 8
D*47. / 3 out of every 10 students at Marc's college live on campus. The college has 3,000 students. How many of them live on campus? show work and/or justify your answer here
A) / 450 students
B) / 1,350 students
C) / 1,125 students
D) / 900 students
C*48. / Which rates are not equivalent? show work and/or justify your answer here
Using cross multiplication on all rates, gives that the rates in alternative C are not equivalent:
A) /
B) /
C) /
D) /
B*49. / Carlos works 8.25 hours and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 hours? show work and/or justify your answer here
Hourly wage =
14 hours gives =
A) / $158.10
B) / $173.60
C) / $189.10
D) / $204.60
A50. / Rewrite the statement, using percent notation.
Out of every 100 eligible people, 72 voted in a recent election.
A) / 72%
B) / 172%
C) / 7.2%
D) / 77%
D*51. / Write 46% as a fraction or a mixed number. show work and/or justify your answer here
A) /
B) /
C) /
D) /
B52. / Write 372% as a decimal.
A) / 37.2
B) / 3.72
C) / 0.372
D) / 3,720
B53. / Write 0.133 as a percent.
A) / 1.33%
B) / 13.3%
C) / 133%
D) / 1,330%
C*54. / Write as a percent to the nearest tenth of a percent. show work and/or justify your answer here
A) / 40.9%
B) / 49.4%
C) / 47.1%
D) / 41.2%
C*55. / Write as a percent. show work and/or justify your answer here
A) / 6.58%
B) / 62.5%
C) / 662.5%
D) / 600%
D 56. / 56% of 200 is what number? show work and/or justify your answer here
A) / 11,200
B) / 1,120
C) / 11.2
D) / 112
A*57. / 1,680 is what percent of 480? show work and/or justify your answer here
A) / 350%
B) / 35%
C) / 588%
D) / 58.8%
C*58. / 140 is 20% of what number? show work and/or justify your answer here
A) / 28
B) / 3,500
C) / 700
D) / 4,900
A 59. / Is the object a line or a line segment?
A) / Line
B) / Line segment
C) / Neither
B 60. / Are the following two lines parallel, perpendicular, or neither?
A) / Parallel
B) / Neither
C) / Perpendicular
B*61. / Give the measure in degrees of the angle described.
D represents of a complete circle. show work and/or justify your answer here
A) / 32.4
B) / 270
C) / 162
D) / 243
D 62. / If PQ RQ, identify the angle PQR as acute, right, obtuse, or straight.
A) / Straight
B) / Obtuse
C) / Acute
D) / Right
D*63. / mB 75
Find the complement of B. show work and/or justify your answer here
C+B = 90
C+75 = 90
C = 15
A) / 45
B) / 165
C) / 105
D) / 15
A 64. / Label the triangle as acute, obtuse, or right.
A) / Obtuse
B) / Right
C) / Acute
C 65. / Label the triangle as equilateral, isosceles, or scalene.
A) / Equilateral
B) / Isosceles
C) / Scalene
D*66. / Find the missing angle. show work and/or justify your answer here
180-73-73 = 34 degrees
A) / 29
B) / 32
C) / 30
D) / 34
B*67. / Which two triangles are similar? show work and/or justify your answer here
Angle in B = 180-44-56 = 80
Angle in C = 180-56-80 = 44
A) / (a) and (b)
B) / (b) and (c)
C) / (a) and (c)
D) / None of the triangles
B*68. / The two triangles are similar. show work and/or justify your answer here
Find g.
A) / 22
B) / 22.5
C) / 24
D) / 22.75
C*69. / Find the missing length of the right triangle. show work and/or justify your answer here
A) / 13
B) / 15
C) / 14
D) / 16
B 70. /
Use the world population and land area table.
What was the population of Oceana in 1900?
A) / 106,000,000
B) / 6,000,000
C) / 38,000,000
D) / 400,000,000
C 71. / / Use the bar graph, showing the attendance at a circus for 7 days in September, to find the attendance on Sept. 9.
A) / 5,600
B) / 6,400
C) / 7,200
D) / 3,200
72. / / Use the graph, showing the yearly food costs of a family.
What was the cost in 2004?
A) / $9,500
B) / $950
C) / $1,000
D) / $10,000
73. / / The pie chart shows the distribution of a person's total yearly income of $36,000. Find the amount budgeted for utilities.
A) / $2,880
B) / $4,320
C) / $1,800
D) / $3,600
*74. / Find the five-number summary of the following set of numbers. show work and/or justify your answer here
14, 5, 13, 17, 6, 15, 6, 3, 11, 6
A) / 3, 6, 11, 14, 17
B) / 3, 6, 6, 14, 17
C) / 5, 6, 6, 14, 17
D) / 3, 6, 8.5, 14, 17
*75. / If 56 and if + = 180, Find m2. show work and/or justify your answer here
A) / 56
B) / 124
C) / 128
D) / 134
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