Semester Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____
1. What is the volume of the right triangular prism shown?
9 yd 21 yd
6 yd
a. b. c. d. ____
2. Estimate the volume of the prism. Round your answer to the nearest tenth. 18.5 ft
8.6 ft
h = 8.4 ft 3
a. 90.7 ft b. 668.2 ft3
c. 5,218.6 ft3 d. 342.3 ft3
____
3. A rectangular prism is 12 inches long, 9 inches wide, and 6 inches high. What is the volume of the prism? a. 108 in3 c. 468 in3 3 b. 234 in d. 648 in3
____
4. A storage trunk is 38 inches wide by 24 inches deep by 32 inches high. What is the volume of the trunk? a. 1,216 in3 c. 29,184 in3 3 b. 5,792 in d. 58,368 in3
____
5. Riggoletto’s Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for . Round your answer to the nearest whole number. a. about 82 c. about 16981 b. about 4245 d. about 163
____
6. A circle has a radius that measures 10 centimeters. What is the area of the circle to the nearest tenth? Use 3.14 for . a. 62.8 cm2 b. 314 cm2
____
7. Find the area of the figure. Use 3.14 for
. Round your answer to the nearest tenth.
30 m
15 m
a. 450 m2 b. 538.3 m2 ____
c. 176.6 m2 d. 626.6 m2
8. Find the shaded area. Round your answer to the nearest tenth.
5 in.
6 in.
a. b. ____
c. d.
9. The diameter of Joe’s car wheel is 18 inches. What is the circumference to the nearest inch? Use 3.14 for a. 39 inches c. 113 inches b. 57 inches d. 254 inches
.
____ 10. The diameter of Joseph’s bicycle wheel is 20 inches. Which is the circumference to the nearest inch? Use 3.14 for . a. 10 inches c. 63 inches b. 40 inches d. 126 inches ____ 11. What is the volume of the right triangular prism shown?
x yd 21 yd
6 yd
a. b. c.
d. ____ 12. A circle has a circumference of 75.36 yards. What is its diameter? Use 3.14 for a. b. c. d.
12 yards 24 yards 237 yards 473 yards
____ 13. Find the area of the figure.
a. 112 cm2 b. 94.5 cm2
c. 126 cm2 d. 144 cm2
____ 14. Find the area of the figure.
a. 45 cm b. 64.5 cm
c. 126 cm d. 144 cm
____ 15. What is the area of the composite figure shown? 12 ft
14 ft
12 ft
13 ft
11 ft
31 ft
a. b. c. d. ____ 16. What is the area of the polygon?
and round to the nearest yard.
a. b.
c. d.
____ 17. Find the surface area of the prism formed by the net. 11.5 m 3.8 m
4m 11.5 m
3.8 m
a. 104.9 m2 b. 209.8 m2
c. 174.8 m2 d. 69.2 m2
____ 18. The net of a square pyramid is shown. Find the lateral surface area of the pyramid.
1 yd 4
a. b. c. d.
1/4 1/8 1/2 1/6
____ 19. Find the values of x and y.
1 yd 2
a. b.
c. d.
____ 20. The lives of two different brands of 60-watt light bulbs are shown in the box-and-whisker plots. Compare the medians and the ranges of the data sets. Glo-Brite Luminate 0
20
40
60
80 100 120 140 160 180 200 220
a. Glo-Brite has a greater median. Glo-Brite has a greater range. b. The medians are equal. Luminate has a greater range. c. The medians are equal. Glo-Brite has a greater range. d. Glo-Brite has a greater median. Luminate has a greater range. ____ 21. The box-and-whisker plots below show the mean monthly temperatures (°F) for Mexico City, Mexico, and Shanghai, China.
What percent of the temperatures for Shanghai fall between a. 50%
b. 25%
c.
°F and
°F? d. 75%
100%
____ 22. The box-and-whisker plots show the distribution of two data sets. Which data set has a greater median? Data Set 1 Data Set 2
0
2
4
6
a. Data Set 1
8
10
12
14
16
18
20
22
24
0
2
4
6
b. Data Set 2
8
10
12
14
16
18
20
22
24
____ 23. The box-and-whisker plots show the distribution of two data sets. Which data set has a greater interquartile range? Data Set 1 Data Set 2
0
2
4
6
8
10
12
14
16
a. Data Set 2
18
20
22
24
0
2
4
6
8
10
12
14
16
18
20
22
24
b. Data Set 1
____ 24. A high school has 1,600 students. In a random sample of 50 students, 18 own a cat. Predict the number of students at the high school who own a cat. a. 18 c. 576 b. 325 d. 1,024 ____ 25. A small town has 2,500 residents. In a random sample of 125 residents, 2 have the flu. Predict the number of residents of the town who have the flu. a. 20 c. 200 b. 40 d. 400 ____ 26. Juan’s purchase before sales tax was added totaled $46.00. The total including tax was $48.76. What was the sales tax rate? a. 2.76% c. 6.0% b. 5.7% d. 8.0% ____ 27. About how much will a $459.95 LCD TV cost including the sales tax of 8.25%? a. $400 c. $500 b. $475 d. $525 ____ 28. The table represents the Martin family’s budget. Their net monthly income is $3,900. How much does the Martin family put in savings in a year? Category Emergency Fund Savings Housing Food Clothin Entertainment Transportation Medical costs a. $120 b. $390
Percent 4% 10% 25% 15% 8% 15% 12% 11% c. $2,028 d. $4,680
____ 29. A traffic engineer is collecting counts of how many cars are on one street during a specific time each day. The results are shown in the histogram. How many days did the traffic engineer collect data?
12
Days
10 8 6 4 2 0 –14 15 –29 30–44 45 –59 60 –74 Number of Cars
a. b. c. d.
13 38 74 The number of days cannot be determined.
____ 30. In a recent food study, 50 people were asked what fruit they like the best. How many people prefer grapes? Use the bar graph to answer the question. 20 18
Number of People
16 14 12 10 8 6 4 2
Cherry Apple Grape Plum Fruit
a. 18 people b. 14 people
c. 10 people d. 16 people
____ 31. The circle graph compares the number of videos of each type. Which type of video was rented most often? Use the circle graph to answer the question.
Rentals at Vicki's Videos Children's 20 Action 60 Drama 50 Comedy 70
a. Children’s b. Drama
c. Comedy d. Action
____ 32. The circle graph compares the number of videos of each type. What percent of the movies rented were comedy movies? Use the circle graph to answer the question. Rentals at Vicki's Videos Children's 40 Action 120 Drama 180 Comedy 60
a. 10% b. 15%
c. 30% d. 45%
____ 33. The Massris and the Smiths live in Odessa, Texas. The Massri family is Dina Massri, Omar Massri, and their two children. The Smith family is Thomas Smith, Maria Smith, and their one child. Based on an online budget estimator, the monthly budget for the Massris is $3,332, and the annual budget for the Smiths is $32,808. What is the minimum household hourly wage needed by each family to meet the estimated budgets? Assume 40 hours of work per week and 48 weeks of work per year. If necessary, round to the nearest cent. a. Massris $20.83 ; Smiths $17.09 b. Massris $83.30 ; Smiths $68.35
c. Massris $10.42 ; Smiths $7.89 d. Massris $33.32 ; Smiths $32.80
____ 34. Matak wants to buy a 50-inch television. He made a table with the four best deals he has found for the television he wants to purchase. Use the table to find the difference in cost between the best deal and the worst deal. Store A Regular price: $449.95 Mail in rebate: $25
a. $125.05 b. $77.50
Store B Regular price: $685.00 Take $15 off of every full $75 spent
Store C Regular price: $515.75 Coupon: $75 off
c. $185.05 d. $109.25
Store D Regular price: $772.50 Mail in rebate: $85 off Coupon: $215 off
____ 35. A smart phone is on sale for $89.95 at Riverside Electronics. Gadgets and More has the same phone for $124.00, and it is on sale for 35% off. Which store has the better deal, and how much less does the phone cost at that store?
a. Riverside Electronics; $11.92 b. Gadgets and More; $9.35
c. Riverside Electronics; $0.95 d. Gadgets and More; $46.55
____ 36. What is the volume of a sphere with a diameter of 18 centimeters? Use 3.14 for pi. a. b. c. d.
254.34 cubic centimeters 381.51 cubic centimeters 3052.08 cubic centimeters 24,416.64 cubic centimeters
____ 37. What is the volume of the cylinder? Use 3.14 for .
a. b. c. d.
489.84 cm3 715.92 cm3 1469.52 cm3 3183.96 cm3
Short Answer Suppose that each cylinder is unfolded to form a net. Calculate the area of the rectangle in each net. Use 3.14 for . Round decimals to the nearest tenth if necessary. 38.
Calculate the surface area of each cylinder. Use 3.14 for 39.
. Round decimals to the nearest tenth if necessary.
Calculate the volume of each cone. Use 3.14 for
. Round decimals to the nearest hundredth if necessary.
40.
41.
42. Clayton is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 12 feet high. Clayton places the base of his ladder 4 feet from the base of the streetlamp. Clayton can extend his ladder from 10 feet to 14 feet. How long must his ladder be to reach he top of the streetlamp? Round your answer to the nearest hundredth.
43. Perry wants to use a 12-foot ladder to reach a shelf that is 11 feet above the ground. How far from the wall should Perry place the base of the ladder so that the top of the ladder reaches the shelf? Round your answer to the nearest tenth.
44. Lea walks to soccer practice on Saturday. She leaves her home and walks 6 blocks north. Lea then turns east and walks 4 blocks to the soccer field. How far is the soccer field from Lea’s home? Round your answer to the nearest whole number. 45. The water company installed a 40-yard diagonal brace on a water tower between two vertical beams that are 12 yards apart as shown. Determine the height of each vertical beam.
46. A rescue boat leaves Walker Dock and travels 18 miles due north to haul in a sailing vessel stranded in the middle of a lake. After attaching a cable, the rescue boat hauls the sailing vessel 80 miles due east to Blue Haven Dock. Determine the direct distance from Walker Dock to Blue Haven Dock. Determine the distance between each given pair of points by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. 47. (2, 2) and (8, 5)
48. (3, 7) and (7, 3)
Archaeologists map each item they find at a dig on a 1-foot by 1-foot coordinate grid. Calculate the distance between the given pair of objects on the coordinate grid. 49. Determine the distance between the spindle and the beads.
50. Determine the distance between the pottery shard and the axe head.
Determine the coordinates of the image following each given translation. 51. Triangle STU with coordinates S(0, 0), T(4, 4), and U(5, 0) is translated 10 units horizontally and vertically.
units
52. Parallelogram GHIJ with coordinates G(0, 0), H(2, 8), I(8, 8), and J(6, 0) is translated units vertically.
units horizontally and
Determine the vertices of each reflected image. 53. A triangle with vertices A(1, 3), B(4, 8), and C(5, 2) is reflected over the y-axis. 54. A square with vertices G(0, 2),
, J(0, 6), and K(2, 4) is reflected over the y-axis.
Determine the measure of all the angles in each. 55.
56.
Identify the transformation used to create in each. List the corresponding sides and angles of the congruent triangles using congruence symbols and write a congruence statement.
57.
58.
59.
60.
61.
List the corresponding sides and angles using congruence symbols for each of the triangles represented by the given congruence statement. 62. 63. 64. 65. The table shows the monthly expenses for a single parent family working 40 hrs per week with three children living in Midland, Texas. Use the table to find the estimated annual, monthly, and hourly budget for the family. Housing Food Child Care Transportation Health Care Other Federal payroll and income taxes Federal tax credits
$608 $465 $827 $343 $350 $258 $312 ($–545)
Determine the total value for each account given the principal, rate, and time. 66. Simple interest account: Principal: $3500 Rate: 2.5% Time: 5 years 67. Compound interest account Principal: $2000 Rate: 2% Time: 7 years
Determine how much more money is made in a compound interest account than a simple interest account for each given principal, rate, and time. 68. Principal: $9500 Rate: 5% Time: 12 years
. 69. Principal: $7500 Rate: 1.5% Time: 9 years
. 70. Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.
71. Rick purchased a rectangular computer monitor that measures 16 inches tall by 22 inches wide. He wants to know the diagonal measure of the monitor. Round your answer to the nearest tenth of an inch.
72. Determine the volume of the cylinder. Use 3.14 for .
