Name: ________________________ Class: ___________________ Date: __________
ID: A
DIA #7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. What is the conclusion of the following conditional?
A number is divisible by 9 if the sum of the digits of the number is divisble by 9.
a. If the sum of the digits of a number is divisble by 9, then the number is divisible by 9. b. The number is divisible by 9. c. The sum of the digits of the number is divisble by 9. d. The number is odd.
____ 2. Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Monday, then yesterday was Saturday.
a. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was not Saturday.
b. Hypothesis: Yesterday was Saturday. Conclusion: Tomorrow is Monday.
c. Hypothesis: Yesterday was not Saturday. Conclusion: Tomorrow is Monday.
d. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was Saturday.
____ 3. What is the converse of the following conditional?
If a point is in the fourth quadrant, then its coordinates are negative.
a. If a point is in the fourth quadrant, then its coordinates are negative. b. If the coordinates of a point are not negative, then the point is not in the fourth quadrant. c. If a point is not in the fourth quadrant, then the coordinates of the point are not negative. d. If the coordinates of a point are negative, then the point is in the fourth quadrant.
____ 4. Use Euler’s Formula to find the missing number.
Vertices: 19
Edges: 42
Faces: ? a. 26 b. 24 c. 28 d. 25
____ 5. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 16 faces and 12 vertices. How many edges did the gemstone have?
a. 26 edges b. 31 edges c. 29 edges d. 28 edges
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Name: ________________________
ID: A
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the
nearest whole number.
____ 6. a. 490 m 2 ; 550 m2 b. 515 m 2 ; 550 m 2 c. 490 m 2 ; 585 m2 d. 515 m 2 ; 533 m 2
Find the surface area of the cylinder in terms of  .
____ 7. a. 410 cm2 b. 560 cm2 c. 230 cm2 d. 380 cm2
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Name: ________________________
ID: A
Find the surface area of the pyramid shown to the nearest whole number.
____ 8. a. 185 ft 2 b. 30 ft 2 c. 105 ft 2 d. 80 ft 2
____ 9. Find the surface area of a conical grain storage tank that has a height of 44 meters and a diameter of 16 meters. Round the answer to the nearest square meter.
a. 2448 m 2 b. 1123 m2 c. 3051 m2 d. 1324 m 2
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 10. a. 762 ft 3 b. 1413 ft 3 c. 1404 ft 3 d. 1392 ft 3
Find the volume of the cylinder in terms of  .
____ 11. a. 1931.78 m 3 b. 344.96 m 3 c. 172.48 m 3 d. 123.2 m3
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Name: ________________________
ID: A
____ 12. Find the volume of the composite space figure to the nearest whole number.
a. 287 mm3 b. 874 mm3 c. 662 mm3 d. 518 mm3
____ 13. Find the volume of a square pyramid with base edges of 40 cm and a slant height of 29 cm.
a. 533.3 cm3 b. 11,200 cm3 c. 33,600 cm3 d. 16,800 cm3
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 14. a. 4373.1 m3 b. 728.8 m3 c. 1093.3 m3 d. 1639.9 m3
____ 15. A balloon has a circumference of 12 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.
a. 183 cm2 b. 452 cm2 c. 144 cm2 d. 46 cm2
4
Name: ________________________
ID: A
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
____ 16. a. 524 cm3 b. 105 cm3 c. 131 cm3 d. 4,189 cm3
____ 17. The volume of a sphere is 5000 m 3 . What is the surface area of the sphere to the nearest square meter?
a. 3033 m 2 b. 62,832 m 2 c. 1517 m2 d. 195 m2
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
____ 18. a. yes; 1 : 5 b. yes; 1 : 3 c. yes; 1 : 6 d. no
____ 19. Find the similarity ratio of a prism with the surface area of 25 ft 2 to a similar prism with the surface area of 169 ft 2 .
a. 13 : 5 b. 2197 : 125 c. 5 : 13 d. 125 : 2197
____ 20. Find the similarity ratio of a cube with volume 343 m3 to a cube with volume 3375 m3 .
a. 49 : 225 b. 15 : 7 c. 7 : 15 d. 225 : 49
____ 21. The surface areas of two similar solids are 371 ft 2 and 1119 ft 2 . The volume of the larger solid is 1710 ft 3 . What is the volume of the smaller solid?
a. 1,710 ft 3 b. 326 ft 3 c. 850 ft 3 d. 985 ft 3
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ID: A
DIA #7
Answer Section
MULTIPLE CHOICE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. B
D
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