Review Test 4 1. A fire department received 10 false alarms out of a total of 400 alarms received. What percent of the alarms received were false alarms? A) 70% B) 75% C) 133.33% D) 5% E) 30%. Don Glover borrowed $15,000 for 30 days and paid $550.11 in simple interest on the loan. What annual simple interest rate did Don pay on the loan? A) 6.8% B) 4.8% C) 5.8% D) 7.8% E) 3.8% 3. A home builder obtained a preconstruction loan of $780,000 for 6 months at an annual interest rate of 9.3%. What is the simple interest due on the loan? Round your answer to two decimal places. A) $36,70.00 B) $18,135.00 C) $18,490.0 D) $36,980.04 E) $17,731.90 4. Find the simple interest due on a 00-day loan of $5000 at an annual interest rate of 11.7%. Round your answer to two decimal places. A) $641.10 B) $30.55 C) $65.04 D) $31.5 E) $330.99 Page 1
5. Find the simple interest owed on a 3.5-year loan of $1700 at an annual interest rate of 9.6%. A) $643.07 B) $1351.40 C) $186.15 D) $675.70 E) $571.0 6. A corporate executive took out a $53,000 loan at an 7% annual simple interest rate for 3 years. Find the maturity value of the loan. A) $65,345.06 B) $77,690.11 C) $58,963.64 D) $64,130 E) $64,97.8 7. A bank loans a member $8000 for the purchase of a used car. The loan is made for 4 months at an annual simple interest rate of 5.4%. What is the maturity value of the car loan? A) $8910. B) $8887.33 C) $978.00 D) $8864.00 E) $8443.66 8. A credit union charges its customers an interest rate of 4.3% per year on money that is transferred into an account that is overdrawn. Find the interest owed to the credit union for 3 months when $550 is transferred into an over-drawn account. A) $5.91 B) $.96 C) $.97 D) $5.8 E) $.91 9. A business borrowed $7000 for 11 months and paid $513.33 in simple interest on the loan. Find the annual simple interest rate that the business paid on the loan. Round to the nearest tenth of a percent. A) 4% B) 6.7% C) 3.4% D) 8% E) 16% Page
10. Estimate the measure of the angle in degrees and state whether the angle is acute, obtuse, or right. A) 30, obtuse B) 30, acute C) 60, acute D) 45, right E) 60, obtuse 11. Estimate the measure of the angle in degrees and state whether the angle is acute, obtuse, or right. A) 150, acute B) 10, obtuse C) 60, right D) 10, acute E) 150, obtuse Page 3
1. Find the complement of a 54 angle. A) 16 B) 6 C) 36 D) 144 E) 34 13. Find the supplement of a 74 angle. A) 54 B) 86 C) 164 D) 106 E) 16 14. Given UV = 9 cm, VW = 6 cm, and UY = 37 cm, find WY. A) cm B) 8 cm C) 31 cm D) 5 cm E) 4 cm 15. Given MN = 8 ft and NP is 5 times the length of MN, find the length of MP. A) 40 ft B) 45 ft C) 41 ft D) 48 ft E) 14 ft Page 4
16. Given RS = 15 cm and the length of ST is 1 the length of RS, find the length of RT. 5 A) 90 cm B) 3 cm C) 18 cm D) 45 cm E) 30 cm 17. Given LOM = 41 and LON = 15, find the measure of MON. A) 166 B) 139 C) 131 D) 90 E) 84 Page 5
18. Given LON is a right angle, find the measurement of x. A) 70 B) 55 C) 110 D) 35 E) 37 19. Find the measure of a. A) 8 B) 74 C) 19 D) 16 E) 66 Page 6
0. Find the measure of a. A) 19 B) 113 C) 31 D) 301 E) 11 1. Find the measure of a. A) 86 B) 11 C) 338 D) 189 E) 104 Page 7
. Find x. A) 40 B) 3 C) 0 D) 18 E) 9 3. Find x. A) 5 B) 3 C) 0 D) 18 E) 7 Page 8
4. Find x. A) 10 B) 1 C) 0 D) 15 E) 9 5. Given that a 55, find the measure of b. A) 145 B) 35 C) 15 D) 149 E) 139 Page 9
6. Find the measure of x. A) 87 B) 17 C) 97 D) 107 E) 53 7. Given that l 1 l, find the measures of angles a and b. A) a 40, b 50 B) a 40, b 140 C) a 50, b 15 D) a 140, b 40 E) a 50, b 0 Page 10
8. Given that l 1 l, find the measures of angles a and b. A) a 51, b 39 B) a 66, b 31 C) a 39, b 19 D) a 19, b 51 E) a 51, b 19 9. Given that l 1 l, find x. A) x = 60 B) x = 36 C) x = 18 D) x = E) x = 15 Page 11
30. Given that a 105 and b 74, find the measures of x and y. A) x 179 ; y 74 B) x 149 ; y 105 C) x 105 ; y 149 D) x 106 ; y 74 E) x 149 ; y 74 31. Given that y 4, find the measures of a and b. A) a 4 ; b 48 B) a 4 ; b 13 C) a 84 ; b 138 D) a 4 ; b 148 E) a 138 ; b 4 Page 1
3. One angle in a triangle is a right angle and one angle is 6. What is the measure of the third angle? A) 64 B) 154 C) 6 D) 74 E) 54 33. Two angles of a triangle are 30 and 93. Find the measure of the third angle. A) 150 B) 87 C) 43 D) 57 E) 117 34. Name the polygon. A) quadrilateral B) hexagon C) pentagon D) heptagon E) pentagon Page 13
35. Classify the triangle as equilateral, isosceles, or scalene. A) scalene B) isosceles C) equilateral 36. Classify the triangle as acute, obtuse, or right. A) right B) acute C) obtuse Page 14
37. Find the perimeter of the triangle. A) 5 in B) 31 in C) 36 in D) 46 in E) 49 in 38. Find the perimeter of the figure. A) 8.4 ft B) 16.8 ft C) 1.6 ft D) 0.8 ft E) 11.8 ft Page 15
39. Find the circumference of the circle. Give the exact answer and the answer to the nearest hundredth. A) 15 in; 47.1 in B) 30 in; 94.5 in C) 60 in; 188.50 in D) 5 in; 706.86 in E) 450 in; 1413.7 in 40. The length of each of two sides of an isosceles triangle is measures 4 in. Find the perimeter of the triangle. 1 A) 10 in 5 1 6 5 in. The third side B) C) D) E) 1 16 5 in 10 5 in 16 5 in 1 5 in 41. A rectangle has a length of 5.9 cm and a width of 4.3 cm. Find the perimeter of the rectangle. A) 0.4 cm B) 10. cm C) 14.5 cm D) 16.1 cm E).0 cm Page 16
4. Find the perimeter of a regular pentagon that measures 6.1 cm on each side. A) 18.3 cm B) 4.4 cm C) 36.6 cm D) 30.5 cm E) 8.5 cm 43. The length of each side of a square measures 8.5 cm. Find the perimeter of the square. A) 5.5 cm B) 34.0 cm C) 51.0 cm D) 4.5 cm E) 33.0 cm 44. The radius of a circle measures 3.6 in. Find the circumference of the circle to the nearest hundredth. A) 45.4 in B) 4.7 in C) 40.7 in D) 11.31 in E).6 in 45. Wall-to-wall carpeting is installed in a room that is 16 ft long and 9 ft wide. The edges of the carpet are nailed to the floor. Along how many feet must the carpet be nailed down? A) 5 ft B) 34 ft C) 50 ft D) 41 ft E) 144 ft Page 17
46. Each of two sides of a triangular banner measures cm. If the perimeter of the banner is 58 cm, what is the length of the third side of the banner? A) 36 cm B) 14 cm C) 16 cm D) 1 cm E) cm 47. Find the length of molding needed to put around a circular table 6.4 ft in diameter. Round your answer to the nearest hundredth. A) 40.1 ft B) 10.05 ft C) 18.68 ft D) 0.11 ft E) 3.17 ft 48. A bicycle wheel has a diameter of 4 inches. How many feet does the bicycle travel when the wheel makes 6 revolutions? Round your answer to the nearest hundredth. A) 37.70 ft B) 18.85 ft C) 45.39 ft D) 38.73 ft E) 9.4 ft Page 18
49. Find the area of the figure. A) B) C) D) E) 5. ft 39.69 ft 79.38 ft 158.76 ft 37.59 ft 50. Find the area of the figure. A) B) C) D) E) 18 cm 30 cm 160 cm 170 cm 154 cm Page 19
51. Find the area of the circle. Give both the exact value and an approximation to the nearest hundredth. A) B) C) D) E) 79.38 ft ; 1.60 ft ; 158.76 ft ; 49.38 ft 39.58 ft 498.76 ft 39.69 ft ; 14.69 ft 6.30 ft ; 19.79 ft 5. Find the area of the circle. Give both the exact value and an approximation to the nearest hundredth. A) B) C) D) E) 3.04 ft ; 11.5 ft ; 9.16 ft ;.40 ft ; 7.38 ft 36.19 ft 89.53 ft 7.54 ft 5.76 ft ; 18.10 ft Page 0
53. The length of the base of a parallelogram is in, and the height is 8 in. Find the area of the parallelogram. A) 176 in B) 88 in C) 60 in D) 1408 in E) 35 in 54. The length of the base of a triangle is 3.1 ft. The height is 5.8 ft. Find the area of the triangle. A) 17.98 ft B) 35.96 ft C) 8.99 ft D) 55.74 ft E) 9.38 ft 55. The length of one base of a trapezoid is 0 cm, and the length of the other base is 1 cm. If the height is 10 cm, what is the area of the trapezoid? A) 30 cm B) 160 cm C) 100 cm D) 4 cm E) 640 cm 56. The radius of a circle is 15 ft. Find the area of the circle. Give the exact value. A) 450 ft B) 15 ft C) 30 ft D) 900 ft E) 5 ft 57. The lens on a telescope has a diameter of 140 in. Find the area of the lens of the telescope. Give the exact value. A) 140 in B) 4900 in C) 39,00 in D) 78,400 in E) 80 in Page 1
58. Find the area of a square flower garden that measures 3 ft on each side. A) 59 ft B) 1058 ft C) 9 ft D) 116 ft E) 46 ft 59. Artificial turf is being used to cover a playing field. If the field is rectangular with a length of 150 yd and a width of 145 yd, how much artificial turf must be purchased to cover the field? A) 43,500 yd B) 10,875 yd C) 590 yd D) 1,750 yd E) 95 yd 60. The height of a triangle is 7 cm. The area of the triangle is 4 cm.. Find the length of the base of the triangle. A) 6 cm B) 1 cm C) 4 cm D) 4 cm E) 84 cm 61. You plan to stain a wooden wall that measures 18 ft by 18 ft. A quart of stain will cover 50 ft. How many quarts of stain should you buy? A) 6 qt B) 9 qt C) 7 qt D) 5 qt E) 10 qt 6. You are painting two walls of a store, one measuring 80 ft by 10 ft and the other measuring 0 ft by 10 ft. The paint costs $16.50 per gallon, and each gallon of paint will cover 00 ft. What is the cost to paint the two walls? A) $3.10 B) $8.50 C) $10.50 D) $5.50 E) $13.00 Page
63. A circle has a radius of 9 in. Find the increase in area when the radius is increased by 1 in. Round to the nearest hundredth. A) 01.06 in B) 51.33 in C) 314.16 in D) 59.69 in E) 311.0 in 64. A walkway 4 m wide surrounds a rectangular plot of grass. The plot is 3 m long and 4 m wide. What is the area of the walkway? A) 40 m B) 1,80 m C) 448 m D) 54 m E) 51 m 65. Find the unknown side of the triangle. A) 5 in B) 5 in C) 7 in D) 8 in E) 1 in Page 3
66. Find the unknown side of the triangle. Round to the nearest tenth. A) 1.7 cm B) 106.0 cm C) 3.7 cm D) 10.3 cm E) 5. cm 67. Find the unknown side of the triangle. Round to the nearest tenth. A) 11.8 ft B) 56.0 ft C) 7.5 ft D).0 ft E) 4.0 ft Page 4
68. Find the unknown side of the triangle. Round to the nearest tenth. A) 9.3 in B) 49.0 in C) 9.9 in D) 3.7 in E) 14.0 in 69. A ladder 10 ft long is leaning against a building. How high on the building will the ladder reach when the bottom of the ladder is 5 ft from the building? Round to the nearest tenth. A) 8.7 ft B) 5.0 ft C) 11. ft D) 6. ft E) 75.0 ft Page 5
70. Find the perimeter of a right triangle with legs that measure 6 yd and 7 yd. Round to the nearest tenth. A) 16.6 yd B) 9. yd C) 6.0 yd D). yd E).9 yd 71. Find the volume of the solid figure. A) 504 in. 3 B) 70 in. 3 C) 360 in. 3 D) 784 in. 3 E) 760 in. 3 7. Find the volume of the sphere. Give both the exact value and an approximation to the nearest hundredth. A) 0.6 cm 3 ; 1.77 cm 3 B) 3.4 cm 3 ; 10.60 cm 3 C) 4.5 cm 3 ; 14.14 cm 3 D) 9.0 cm 3 ; 8.7 cm 3 E) 13.5 cm 3 ; 4.41 cm 3 Page 6
73. A rectangular solid has a length of 6 in, a width of 4.9 in, and a height of 3.6 in. Find the volume of the solid. A) 14.50 in 3 B) 137.8 in 3 C) 106.34 in 3 D) 105.84 in 3 E) 11.68 in 3 74. Find the volume of a cube whose side measures 4.9 ft. A) 117.649 ft 3 B) 4.010 ft 3 C) 144.060 ft 3 D) 705.894 ft 3 E) 114.149 ft 3 75. The diameter of a sphere is 4 m. Find the volume of the sphere. Give the exact measure. A) 16 3 m3 B) 3 3 m3 C) 8 3 m3 D) 4 3 m3 E) 64 15 m3 76. The diameter of the base of a cylinder is 1 in. The height of the cylinder is 17 in. Find the volume of the cylinder. Round to the nearest hundredth. A) 7690.6 in 3 B) 61.00 in 3 C) 5447.5 in 3 D) 19.65 in 3 E) 30.44 in 3 Page 7
77. The height of a cone is 1 in. The diameter of the cone is 3 in. Find the volume of the cone. Round to the nearest hundredth. A) 6647.61 in 3 B) 1661.90 in 3 C) 4985.71 in 3 D) 1994.83 in 3 E) 1734.16 in 3 78. The height of a pyramid is 15 in. The length of the side of the base is 0 in. Find the volume of the pyramid. Round to the nearest hundredth. A) 1570.8 in 3 B) 000 in 3 C) 6000 in 3 D) 500 in 3 E) 1500 in 3 79. The volume of a cylinder with a height of 15 cm is 449.5 cm 3. Find the radius of the base of the cylinder. Round to the nearest hundredth. A) 3.09 cm B) 9.54 cm C) 9.70 cm D) 4.69 cm E).33 cm 80. A rectangular solid has a square base and a height of 10 ft. If the volume of the solid is 50 ft 3, find the length and width. A) ft B) 5 ft C) 5 ft D) 7 ft E) 50 ft 81. A silo for storing corn, which is in the shape of a cylinder, is 18 m high and has a diameter of 6 m. The silo is two-thirds full. Find the number of cubic meters of corn in the silo. Round to the nearest hundredth. A) 5,484.60 m 3 B) 9556.7 m 3 C) 881.59 m 3 D) 6371.15 m 3 E) 8046.15 m 3 Page 8
8. Find the surface area of the figure. A) 143 ft B) 315 ft C) 80 ft D) 1 ft E) 86 ft 83. Find the surface area of the figure. A) 81 m B) 36 m C) 7 m D) 7 m E) 45 m Page 9
84. Find the surface area of the cylinder. Give both the exact value and an approximation to the nearest hundredth. A) B) C) D) E) 78 m ; 45.04 m 84 m ; 63.89 m 48 m ; 150.80 m 36 m ; 113.10 m 1 m ; 37.70 m 85. The height of a rectangular solid is 8 ft. The length is 4 ft, and the width is 3 ft. Find the surface area of the solid. A) 68 ft B) 96 ft C) 136 ft D) 11 ft E) 19 ft 86. The side of a cube measures. in. Find the surface area of the cube. Round your answer to three decimal places. A) 10.648 in B) 4.840 in C) 63.888 in D) 9.040 in E) 14.50 in 87. The diameter of the base of a cylinder is 9.8 in. The height of the cylinder is 3.7 in. Find the surface area of the cylinder. Give the exact value. A) 84.8 in B) 60.7 in C) 48.0 in D) 36.6 in E) 88.84 in Page 30
88. The slant height of a cone is 4.5 ft. The radius of the base is.8 ft. Find the surface area of the cone. Give the exact value. A) 33.04 ft B) 35.8 ft C) 11.76 ft D) 0.44 ft E) 8.8 ft 89. The length of a side of the base of a pyramid is 6 ft, and the slant height is 1 ft. Find the surface area of the pyramid. A) 34 ft B) 180 ft C) 144 ft D) 108 ft E) 16 ft 90. The surface area of a rectangular solid is 148 in. The height of the solid is 5 in, and the length is 6 in. Find the width of the rectangular solid. A) 4 in B) 8 in C) 11 in D) 6 in E) 9 in 91. A hot air balloon is in the shape of a sphere. Approximately how much fabric was used to construct the balloon if its diameter is 38 ft? Round to the nearest whole number. A) 18,146 ft B) 9,847 ft C) 4536 ft D) 1134 ft E) 9073 ft 9. How much glass is needed to make a fish tank that is 4 in. long, 0 in. wide and 9 in. high? The fish tank is open at the top. A) 175 in B) 157 in C) 1536 in D) 430 in E) 17 in Page 31
93. The length of a side of the base of a pyramid is 5 cm, and the slant height is 4 cm. How much larger is the surface area of this pyramid than the surface area of a cone with a diameter of 5 cm and a slant height of 4 cm? Round to the nearest hundredth. A) 53.95 cm B) 13.95 cm C) 17.47 cm D) 38.95 cm E) 16.30 cm 94. The number of seats occupied per flight on a jet for 16 trans-atlantic flights was recorded. The numbers were 310, 431, 38, 416, 398, 34, 353, 315, 407, 386, 34, 405, 396, 377, 41, and 394. Calculate the mean, the median, and the mode of the number of seats occupied per flight. A) Mean: 390 seats; median: 390 seats; mode: 384 seats B) Mean: 378 seats; median: 384 seats; mode: 390 seats C) Mean: 378 seats; median: 390 seats; mode: no mode D) Mean: 384 seats; median: 390 seats; mode: no mode E) Mean: 384 seats; median: 390 seats; mode: 378 seats 95. The number of big-screen televisions sold each month for 1 year was recorded by an electronics store. The results were 0, 16, 5, 5, 4, 3, 6, 8, 3, 5, 0, and 33. Calculate the mean, the median, and the mode of the number of televisions sold per month. A) Mean: 4.5 TVs; median: 5 TVs; mode: 4 TVs B) Mean: 4 TVs; median: 5 TVs; mode: 4.5 TVs C) Mean: 4.5 TVs; median: 4.5 TVs; mode: 5 TVs D) Mean: 4 TVs; median: 4 TVs; mode: 4.5 TVs E) Mean: 4 TVs; median: 4.5 TVs; mode: 5 TVs 96. A consumer research group purchased identical items in eight grocery stores. The costs for the purchased items were $41.60, $47.8, $37.4, $36.43, $44.41, $38.8, $43.5, and $41.54. Calculate the mean and the median costs of the purchased items. Round your answers to four decimal places. A) Mean: $41.5700; median: $41.5700 B) Mean: $41.3550; median: $41.5700 C) Mean: $41.3550; median: $41.3550 D) Mean: $41.5700; median: $41.3550 E) Mean: $47.69; median: $41.5700 Page 3
97. The times, in seconds, for a 100-meter dash at a college track meet were 10.34, 10.15, 10.45, 10.88, 10.17, 10.73, 10.56, 10.50, 10.39, and 10.6. a. Calculate the mean time for the 100-meter dash. b. Calculate the median time for the 100-meter dash. A) (a) Mean: 10.479 seconds; (b) median: 10.479 seconds B) (a) Mean: 10.479 seconds; (b) median: 10.475 seconds C) (a) Mean: 10.475 seconds; (b) median: 10.475 seconds D) (a) Mean: 10.475 seconds; (b) median: 10.479 seconds E) (a) Mean: 11.64 seconds; (b) median: 10.475 seconds 98. Eight health maintenance organizations (HMOs) presented group health insurance plans to a company. The monthly rates per employee were $418, $391, $40, $395, $43, $35, $399, and $48. Calculate the mean and the median monthly rates for these eight HMOs. A) Mean: $400.5; median: $400.5 B) Mean: $400.5; median: $401 C) Mean: $401; median: $401 D) Mean: $401; median: $400.5 E) Mean: $80; median: $400.5 Page 33
Answer Key 1. E. C 3. A 4. B 5. E 6. D 7. D 8. A 9. D 10. B 11. E 1. C 13. D 14. A 15. D 16. C 17. E 18. D 19. B 0. E 1. B. C 3. C 4. C 5. A 6. D 7. B 8. E 9. C 30. E 31. B 3. A 33. D 34. C 35. B 36. C 37. D 38. B 39. B 40. D 41. A 4. D 43. B 44. E Page 34
45. C 46. B 47. D 48. A 49. B 50. C 51. D 5. E 53. A 54. C 55. B 56. E 57. B 58. A 59. D 60. B 61. C 6. B 63. D 64. A 65. A 66. D 67. C 68. C 69. A 70. D 71. B 7. C 73. D 74. A 75. B 76. D 77. B 78. B 79. A 80. C 81. D 8. E 83. E 84. B 85. C 86. D 87. A 88. D 89. B 90. A Page 35
91. C 9. E 93. B 94. C 95. E 96. B 97. B 98. D Page 36