WorksheetsPRACTICE BENCHMARK Geometry Spring 2025-
Total questions: 75
Worksheet time: 38mins
Name
Class
Date
1.
G.CB.5
What is the length of an arc subtended by a central angle of 2 radians in a circle with radius 5?
a)
10
b)
5
c)
2
d)
1
2.
G.CB.5
The area of a sector with central angle 3 radians and radius 4 is:
a)
6
b)
12
c)
18
d)
24
3.
G.CB.5
Convert 60 degrees to radians.
a)
π/3
b)
π/2
c)
π/6
d)
π/4
4.
G.CB.5
If a central angle of a circle is 2π radians, what fraction of the total circle’s area is the area of the sector?
a)
1
b)
1/2
c)
1/4
d)
1/6
5.
G.CB.5
The length of an arc with radius 3 and a central angle of π radians is:
a)
3
b)
3π
c)
6
d)
9
6.
G.CB.5
What is the area of a sector with a central angle of π/2 and radius 6?
a)
18
b)
9π
c)
8π
d)
3
7.
G.CB.5
Convert π/4 radians to degrees.
a)
30°
b)
45°
c)
60°
d)
90°
8.
G.CB.5
What is the length of an arc of a circle with radius 7 and a central angle of π/2?
a)
3.5
b)
7
c)
7π/2
d)
10.5
9.
G.CB.5
A sector with radius 10 has an angle of 3 radians. What is the area of the sector?
a)
150
b)
250
c)
300
d)
500
10.
G.CB.5
The central angle of a sector is 1 radian and the radius is 6. The area of the sector is:
a)
3
b)
6
c)
9
d)
18
11.
G.CB.5
Convert 180° to radians.
a)
π
b)
2π
c)
π/2
d)
π/4
12.
G.CB.5
The area of a sector with radius 4 and angle π/2 is:
a)
8π
b)
4π
c)
2π
d)
6π
13.
G.CB.5
What is the length of the arc intercepted by a central angle of π/6 in a circle with radius 12?
a)
2π
b)
6π
c)
12π
d)
4π
14.
G.CB.5
What is the radian measure of 45°?
a)
π/4
b)
π/6
c)
π/3
d)
π
15.
G.CB.5
The length of the arc of a circle with radius 10 and central angle π radians is:
a)
5π
b)
10π
c)
15π
d)
20π
16.
G.CB.5
Convert 5π/6 radians to degrees.
a)
180°
b)
150°
c)
120°
d)
90°
17.
G.CB.5
What is the area of a sector with radius 2 and central angle π/3?
a)
2π/3
b)
2
c)
4π/3
d)
3π/2
18.
G.CB.5
A circle has radius 8. What is the length of the arc subtended by an angle of π/2?
a)
8π
b)
4π
c)
16π
d)
12π
19.
G.CB.5
The length of an arc with radius 5 and central angle π/2 is:
a)
5
b)
5π/2
c)
5π
d)
5π/4
20.
G.CB.5
What is the area of a sector with central angle π/6 and radius 12?
a)
6π
b)
12π
c)
18π
d)
24π
21.
G.CB.5
Convert π/3 radians to degrees.
a)
30°
b)
45°
c)
60°
d)
90°
22.
G.CB.5
What is the area of a sector with radius 9 and angle 2 radians?
a)
18
b)
36
c)
72
d)
81
23.
G.CB.5
The length of the arc of a circle with radius 15 and central angle π/3 is:
a)
5π
b)
20π
c)
30π
d)
45π
24.
G.CB.5
What is the radian measure of 120°
a)
2π/3
b)
π/2
c)
π/3
d)
π/6
25.
G.CB.5
Convert 2π radians to degrees.
a)
360°
b)
270°
c)
180°
d)
90°
26.
G-GMD.A.1
What is the formula for the volume of a cylinder?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
27.
G-GMD.A.1
The volume of a pyramid is calculated using which formula?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
28.
G-GMD.A.1
What is the volume of a cylinder with radius 4 and height 6?
a)
24π
b)
96π
c)
96
d)
24
29.
G-GMD.A.1
What is the volume of a cone with a radius of 3 and height 9?
a)
81π
b)
27π
c)
27
d)
9π
30.
G-GMD.A.1
A pyramid has a square base with side length 5 and height 10. What is its volume?
a)
83.3
b)
113
c)
79.3
d)
60.9
31.
G-GMD.A.1
The volume of a cone with a radius of 7 and height of 14 is:
a)
686π/3
b)
49π
c)
98π/3
d)
98π
32.
G-GMD.A.1
What is the volume of a cone with a radius of 2 and height 5?
a)
10π/3
b)
20π/3
c)
5π
d)
4π
33.
G-GMD.A.1
The volume of a cylinder is 150π cubic units. If the radius is 5, what is the height?
a)
15
b)
30
c)
10
d)
6
34.
G-GMD.A.1
The volume of a pyramid with a triangular base is given by:
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
35.
G-GMD.A.1
If the radius of a cylinder is halved and the height is doubled, what happens to the volume?
a)
It stays the same
b)
It is halved
c)
It is doubled
d)
It is reduced to one-fourth
36.
G-GMD.A.1
The volume of a cone is 18π cubic units. If the radius is 3, what is the height?
a)
3
b)
6
c)
9
d)
12
37.
G-GMD.A.1
What is the volume of a pyramid with a square base, side length 4, and height 9?
a)
72
b)
48
c)
36
d)
18
38.
G-GMD.A.1
The volume of a cylinder is 200π cubic units, and the radius is 5. What is the height?
a)
7
b)
8
c)
15
d)
20
39.
G-GMD.A.1
A pyramid has a square base with side length 4 units and a height of 6 units. What is the volume of the pyramid?
a)
32
b)
48
c)
64
d)
96
40.
G-GMD.A.1
The volume of a cylinder with radius 7 and height 10 is:
a)
35π
b)
70π
c)
100π
d)
490π
41.
G-GMD.A.1
What happens to the volume of a cone if both the radius and height are doubled?
a)
The volume is quadrupled
b)
The volume is doubled
c)
The volume is halved
d)
The volume is tripled
42.
G-GMD.A.1
The volume of a cylinder with radius 8 and height 12 is:
a)
768π
b)
192π
c)
96π
d)
48π
43.
G-GMD.A.1
The volume of a pyramid with a rectangular base of dimensions 4 and 6, and height 9 is:
a)
36
b)
72
c)
54
d)
108
44.
G-GMD.A.1
A pyramid has a base area of 16 square units and a height of 3 units. What is the volume of the pyramid?
a)
48
b)
16
c)
24
d)
32
45.
G-GMD.A.1
The volume of a cylinder with radius 3 and height 4 is:
a)
36π
b)
24π
c)
12π
d)
9π
46.
G-GMD.A.1
The volume of a pyramid with a square base of side 8 and height 15 is:
a)
320
b)
480
c)
720
d)
960
47.
G-GMD.A.1
What is the volume of a cone with radius 10 and height 5?
a)
500π/3
b)
100π
c)
50π/3
d)
25π
48.
G-GMD.A.1
The volume of a pyramid with a circular base, radius 3, and height 9 is:
a)
81π
b)
27π
c)
54π
d)
36π
49.
G-GMD.A.1
If the height of a cone is doubled, how does the volume change?
a)
It doubles
b)
It triples
c)
It stays the same
d)
It is cut in half
50.
G-GMD.A.1
What does the "B" represent in the volume formula for a pyramid, V=1/3 Bh?
a)
The perimeter of the base
b)
The base area
c)
The height of the base
d)
The slant height of the pyramid
51.
G-GMD.A.1
A cone has a radius of 6 and a height of 8. What is the volume of the cone?
a)
144π
b)
48π
c)
96π
d)
72π
52.
G-MG.A.1
Which 3D shape best represents a water bottle?
a)
Cube
b)
Cylinder
c)
cone
d)
Pyramid
53.
G-MG.A.1
Which object is best modeled by a cone?
a)
Ice cream cone
b)
Dice
c)
Soda can
d)
Shoebox
54.
G-MG.A.1
Which shape best represents a tent with a pointed top?
a)
Cylinder
b)
Cone
c)
Pyramid
d)
Cube
55.
G-MG.A.1
Which geometric shape is used for a traffic cone?
a)
Sphere
b)
Cylinder
c)
Cone
d)
Pyramid
56.
G-MG.A.1
Which shape has only one circular base?
a)
Cylinder
b)
Pyramid
c)
Cone
d)
Sphere
57.
G-MG.A.1
How many faces does a square-based pyramid have?
a)
4
b)
5
c)
6
d)
8
58.
G-MG.A.1
How many faces does a cylinder have?
a)
2
b)
3
c)
4
d)
5
59.
G-MG.A.1
How many edges does a pyramid with a square base have?
a)
4
b)
5
c)
8
d)
10
60.
G-MG.A.1
A cylindrical paint can has a radius of 5 cm and a height of 10 cm. What is its volume?
a)
50π cm³
b)
100π cm³
c)
250π cm³
d)
500π cm³
61.
G-MG.A.1
A cone-shaped party hat has a base radius of 3 inches and a height of 8 inches. What is its volume?
a)
8π in³
b)
24π in³
c)
32π in³
d)
64π in³
62.
G-MG.A.1
A pyramid has a base area of 20 m² and a height of 9 m. What is its volume?
a)
30 m³
b)
45 m³
c)
60 m³
d)
90 m³
63.
G-MG.A.1
A cylindrical juice can has a diameter of 10 cm and a height of 12 cm. What is its volume?
a)
120π cm³
b)
300π cm³
c)
600π cm³
d)
1200π cm³
64.
G-MG.A.1
A sand pile is shaped like a cone with a height of 5 meters and a base radius of 2 meters. What is its volume?
a)
20π/3 m³
b)
10π/3 m³
c)
15π/3 m³
d)
20π/2 m³
65.
G-MG.A.1
Why are most grain silos shaped like cylinders?
a)
They are easier to transport
b)
They hold more volume efficiently
c)
They are cheaper to build
d)
They take up less space
66.
G-MG.A.1
Which shape is best for making ice cream cones?
a)
Cylinder
b)
Pyramid
c)
Cone
d)
Sphere
67.
G-MG.A.1
Why are oil storage tanks usually cylindrical?
a)
They are easier to stack
b)
They reduce wasted space
c)
They allow even weight distribution
d)
They use less material
68.
G-MG.A.1
Which of the following objects is a real-world example of a square pyramid?
a)
A lighthouse
b)
A water bottle
c)
The Great Pyramid of Giza
d)
A soda can
69.
G-MG.A.1
A cylindrical grain silo has a radius of 4 meters and a height of 15 meters. What is its volume?
a)
120π m³
b)
180π m³
c)
240π m³
d)
300π m³
70.
G-MG.A.1
A company is designing a tent in the shape of a cone. If the tent’s radius is 5 feet and its height is 10 feet, what is its volume?
a)
50π/3 ft³
b)
100π/3 ft³
c)
250π/3 ft³
d)
250π/2 ft³
71.
G-MG.A.1
A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume?
a)
70π cm³
b)
140π cm³
c)
490π cm³
d)
700π cm³
72.
G-MG.A.1
A cone has a base radius of 6 inches and a height of 9 inches. What is its volume?
a)
54π in³
b)
72π in³
c)
108π in³
d)
162π in³
73.
G-MG.A.1
Which shape closely resembles a stack of coins?
a)
Cylinder
b)
Pyramid
c)
Cone
d)
Sphere
74.
G-MG.A.1
How many edges does a pyramid with a square base have?
a)
4
b)
5
c)
8
d)
10
75.
G-MG.A.1
A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?
a)
40π cm³
b)
160π cm³
c)
400π cm³
d)
450π cm³
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