2015-16 geometry final review part 3 (demo version) read each question carefully. · 2016. 5....

2015-16 Geometry Final Review Part 3 (Demo Version)

Read each question carefully.

A)

C)

B)

D)

1)

45°

90°

135°

180°

1


A)

C)

B)

D)

2)

2


A)

C)

B)

D)

3)

21°

31°

46°

62°

What is the length of arc ACB in circle Q?

A)

C)

B)

D)

4)

3


What is the measure of Angle MNP?

A)

C)

B)

D)

5)

90°

120°

180°

360°

If angle ADB = 45°, what is the measure of arc BCA?

A)

C)

B)

D)

6)

45°

135°

225°

315°

4


If arc CA = 60°, what is the measure of angle ADC?

A)

C)

B)

D)

7)

60°

30°

20°

15°

What is the value of x?

A)

C)

B)

D)

8)

75

85

95

105

5


A)

C)

B)

D)

9)

82°

87°

93°

98°

Alex stood 14 feet from the merry-go-round. What is the radius of the merry-go-round?

A)

C)

B)

D)

10)

7 feet

14 feet

21 feet

35 feet

6


A)

C)

B)

D)

11)

9

15

18.78

25

Fill in the blank:

The intercepted arc of an inscribed angle is _______ the measure of the angle.

A)

C)

B)

D)

12)

twice

the same as

half

one fourth

7


Which line is NOT tangent to circle P?

A)

C)

B)

D)

13)

line m

line n

line q

line r

8


A)

C)

B)

D)

14)

7

10.5

14

21

9


What is the length of arc ABC in circle Q?

A)

C)

B)

D)

15)

What name is given to line d in the figure below?

A)

C)

B)

D)

16)

secant line

diameter

radius

tangent line

10


Carla stood 8 feet from the tractor tire. What is the radius of the tire?

A)

C)

B)

D)

17)

4 feet

8 feet

12 feet

16 feet

Four steps to determine the slant height of a square pyramid are shown below. What is the correct order for these steps?

A)

C)

B)

D)

18)

IV., II., I., III.

IV., I., II., III.

II., I., III., IV.

II., IV., III., I.

11


A cup in the shape of a cone has a height of 8 units and a radius of 5 units as shown in the figure below. The water in the cup reaches a height of 3 units.

What is the value of r, the radius of the surface of the water?

A)

C)

B)

D)

19)

2.8 units

1.875 units

1.087 units

0.8 units

The volume of a rectangular prism is 57 cubic inches. What is the volume of a rectangular pyramid with the same length, width, and height?

A)

C)

B)

D)

20)

171 cubic inches

57 cubic inches

28.5 cubic inches

19 cubic inches

12


Which geometric solid is formed by rotating the triangle about line m?

A)

C)

B)

D)

21)

cone

cylinder

sphere

triangular prism

13


A pyramid has a square base measuring 9 inches by 9 inches and an altitude of 8 inches. What is the volume of the pyramid?

A)

C)

B)

D)

22)

160 cubic inches

180 cubic inches

216 cubic inches

240 cubic inches

14


The cylinder has a diameter of 6 feet and height of 20 feet. What is the volume of the cylinder?

A)

C)

B)

D)

23)

15


The cylinder has a radius of 5 feet and height of 20 feet. What is the volume of the cylinder in cubic feet?

A)

C)

B)

D)

24)

16


Which geometric solid is formed by rotating the rectangle about line m?

A)

C)

B)

D)

25)

cone

rectangular prism

cylinder

sphere

17


The circular cone has a base diameter of 16 cm and slant height of 10 cm. What is the volume of the cone in cubic cm?

A)

C)

B)

D)

26)

A sphere has a diameter of 8 cm. What is the volume of the sphere?

A)

C)

B)

D)

27)

18


What is the volume of a circular cone with a diameter of 12 cm and slant height of 10 cm?

A)

C)

B)

D)

28)

Which shape is rotated about the line m to form a cone?

A)

C)

B)

D)

29)

semicircle

square

rectangle

triangle

19


A plane cutting through the prism intersected the top and the bottom bases as shown. How many sides does the cross-section have?

A)

C)

B)

D)

30)

3

4

5

6

20


A rotating laser placed along wall b must be able to direct its beam at any point on the 12-foot wall. What is the greatest possible distance of the laser from corner C?

A)

C)

B)

D)

31)

9 feet

15 feet

16 feet

20 feet

21


Which three-dimensional object can be made from the net?

A)

C)

B)

D)

32)

Figure A

Figure B

Figure C

Figure D

A solid ball has a density of 2 grams per cubic centimeter. What is the volume, in cm3, of the ball if its mass is 1 gram?

A)

C)

B)

33)

2

0.5

0.2

22


Use a scientific calculator.

A company is developing a line of prepackaged two-flavor ice cream cones. Each cone is 10 centimeters tall. If the volumes of both flavors are equal, at what distance from the vertex of the cone are the flavors separated?

A)

C)

B)

D)

34)

5 cm

6 cm

7 cm

8 cm

23



A)

C)

B)

D)

35)

Figure A

Figure B

Figure C

Figure D

A solid ball has a density of 0.5 grams per cubic centimeter. What is the volume, in cm3, of the ball if its mass is 10 grams?

A)

C)

B)

D)

36)

0.5

2

5

20

E) 50

24



A)

C)

B)

D)

37)

Figure A

Figure B

Figure C

Figure D

25


Use a scientific calculator.

The viewing angle of a security camera is 40°. The camera will be centered in front of the 6-foot-wide entrance. What is the closest the camera can be to the entrance so that the entire width of the entrance is in the camera's view?

A)

C)

B)

D)

38)

3.6 feet

7.2 feet

8.3 feet

16.5 feet

26



A)

C)

B)

D)

39)

Figure A

Figure B

Figure C

Figure D

27



A)

C)

B)

D)

40)

28



A)

C)

B)

D)

41)

29



A)

C)

B)

D)

42)

Figure A

Figure B

Figure C

Figure D

30



A)

C)

B)

D)

43)

Figure A

Figure B

Figure C

Figure D

31


An advertisement agency thinks that a roadside sign would work best if the ratio of its side lengths a:b is equal to 3:8. To accommodate local size regulations the area of the sign will be 600 square feet. The perimeter of the sign will be decorated with neon lights. What is the perimeter of the sign designed according to the agency's recommendations?

A)

C)

B)

D)

44)

110 feet

225 feet

550 feet

1,600 feet

32



A)

C)

B)

D)

45)

33


One 60° slice has been eaten out of an eight-inch diameter coconut cream pie. What is the area of the pie that is left?

A)

C)

B)

D)

46)

One 60° slice of a 12-inch pizza has been removed. What is the area of the slice of pizza?

A)

C)

B)

D)

47)

34


All that is left of an 8-inch lemon pie is 1 piece of pie. The eaten pie measures 290°. What is the area of the remaining piece?

A)

C)

B)

D)

48)

What is the area of the shaded sector, given circle Q has a diameter of 10?

A)

C)

B)

D)

49)

35


36

2015-16 geometry final review part 3 (demo version) read each question carefully. · 2016. 5....

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