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Geometry EOC Review #2

Total questions: 30

Worksheet time: 2hrs 31mins

Name
Class
Date
1.

What is the length of segment DE?

a)

8

b)

12

c)

16

d)

20

2.

What is the height of a cylinder if its radius is 8 inches and its volume is 2413 cubic inches?

a)

3.5 inches

b)

9.8 inches

c)

12 inches

d)

96 inches

3.

Which of the following statements are true regarding triangle DEF? (Select all that apply.)

a)

m∠E = 45°

b)

m∠F = m∠D + m∠E

c)

EF = DF

d)

DF = 10

4.

Find the length of MN, the midsegment of trapezoid ABCD.

a)

12

b)

13.5

c)

18

d)

36

5.

What is the probability of drawing a black card or a queen from a standard deck of playing cards?

a)

1/2

b)

1/13

c)

7/13

d)

8/13

6.

Determine whether the sets of side lengths form a right triangle: 4, 2√5, 6.

a)

Yes

b)

No

7.

What is the measure of angle XYZ?

a)

15°

b)

32°

c)

89°

d)

119°

8.

Find the measure of angle D.

a)

56°

b)

84°

c)

96°

d)

112°

9.

Calculate the population density (in people per square mile) of a circular region with a 10-mile radius and a population of 47,000.

a)

150 people/sq mile

b)

300 people/sq mile

c)

450 people/sq mile

d)

600 people/sq mile

10.

Determine whether the sets of side lengths form a right triangle: 7, 16, 18.

a)

Yes

b)

No

11.

What is the value of AD in the given diagram?

a)

10

b)

13

c)

63

d)

73

12.

Calculate the mass of a rectangular prism with a length of 6 inches, a width of 3 inches, a height of 2 inches, and a density of 10.1 grams per cubic inch.

a)

4 grams

b)

58 grams

c)

364 grams

d)

5958 grams

13.

What is the probability that both marbles selected from a bag containing three red marbles and eight green marbles are red, given that the first marble is not replaced before selecting the second?

a)

9/121

b)

6/121

c)

9/110

d)

3/55

14.

Classify a 30° angle.

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

15.

Find the volume of the cone.

a)

98 cubic centimeters

b)

294 cubic centimeters

c)

924 cubic centimeters

d)

308 cubic centimeters

16.

Calculate the area of the circle.

a)

18.8 square inches

b)

113.1 square inches

c)

144 square inches

d)

452.4 square inches

17.

Classify a 131° angle.

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

18.

Given m∠6 = 85° and m∠4 = (x + 9)°, what is the value of x?

a)

76

b)

85

c)

86

d)

95

19.

Out of 200 students in a senior class, 98 students are either varsity athletes or on the honor roll. There are 69 seniors who are varsity athletes and 52 seniors who are on the honor roll. What is the probability that a randomly selected senior is both a varsity athlete and on the honor roll?

a)

A) 23/200

b)

B) 3/4

c)

C) 121/200

d)

D) 177/200

20.

A cylinder has a height of 12 inches and a diameter of 16 inches. Select all the statements that are true about the cylinder.

a)

F) The radius is 8 inches.

b)

A) The volume is about 2413 cubic inches.

c)

B) The volume is about 9651 cubic inches.

d)

D) The surface area is about 2815 square inches.

e)

C) The surface area is about 1005 square inches.

21.

Find sin A.

a)

A) 5/13

b)

B) 12/13

c)

C) 5/12

d)

D) 13/5

22.

Write an equation of the line passing through the point (8, -1) that is perpendicular to the line y = -3/4 x + 7.

a)

A) y = 4/3 x - 1

b)

B) y = -3/4 x - 1

c)

C) y = 4/3 x + 35/3

d)

D) y = -4/3 x + 35/3

23.

Classify a 90° angle.

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

24.

You roll a six-sided number cube. What is the probability that you roll a number that is less than 4 or even?

a)

A) 1/6

b)

B) 1/3

c)

C) 1/2

d)

D) 5/6

25.

Graph triangle ABC with vertices A(-2, -1), B(-1, 1), and C(0, 0) and its image after a dilation with a scale factor of 3.

a)

The coordinates of A', B', and C' are (-6, -3), (-3, 3), and (0, 0) respectively.

b)

The coordinates of A', B', and C' are (6, 3), (3, -3), and (0, 0) respectively.

c)

The coordinates of A', B', and C' are (-6, 3), (-3, -3), and (0, 0) respectively.

d)

The coordinates of A', B', and C' are (6, -3), (3, 3), and (0, 0) respectively.

26.

Classify a 180° angle.

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

27.

A right triangle has a leg that is 6 units long and a hypotenuse that is 14 units long. What is the length of the other leg of the right triangle?

a)

8 units

b)

4√10 units

c)

2√73 units

d)

√190 units

28.

A circle has an area of 288 square feet. What is the diameter of the circle?

a)

9.57 ft

b)

16.97 ft

c)

19.15 ft

d)

33.94 ft

29.

Find QN and QP given that point P is the centroid of △LMN and PN = 26.

a)

QN = 52

b)

QN = 39

c)

QP = 13

d)

QP = 26

e)

QN = 26

30.

A rectangular prism has a height of 5 feet, width of 6 feet, and length of 8 feet. Select all the statements that are true about the rectangular prism.

a)

The volume is 120 cubic feet.

b)

The rectangular prism is a cube.    

c)

The volume is 240 cubic feet.

d)

The surface area is 236 square feet.

e)

The surface area is 118 square feet.