Free Printable Adaptive EOC Practice Test 4

1.

What is the equation of a circle with center at (3, -4) and radius 5?

a)

$(x - 3)^2 + (y + 4)^2 = 25$

b)

$(x + 3)^2 + (y - 4)^2 = 25$

c)

$(x - 3)^2 + (y + 4)^2 = 5$

d)

$(x + 3)^2 + (y - 4)^2 = 5$

2.

In a circle, if a chord of 8 cm creates an angle of $60^\circ$ at the center, what is the length of the arc corresponding to this angle?

a)

$4\pi$ cm

b)

$8\pi$ cm

c)

$4\sqrt{3}$ cm

d)

$8\sqrt{3}$ cm

3.

A triangle inscribed in a circle forms angles of $45^\circ$ , $45^\circ$ , and $90^\circ$ at the center. What type of triangle is it?

a)

Isosceles

b)

Equilateral

c)

Right

d)

Scalene

4.

Solve for $x$ in the right triangle where one angle is $30^\circ$ and the hypotenuse is 10 units.

a)

$5$

b)

$5\sqrt{3}$

c)

$10\sqrt{2}$

d)

$10\sqrt{3}$

5.

Calculate the area of a sector with a central angle of $120^\circ$ and radius 7 cm.

a)

$49\pi$ cm $^2$

b)

$14\pi$ cm $^2$

c)

$\frac{49\pi}{3}$ cm $^2$

d)

$\frac{98\pi}{3}$ cm $^2$

6.

What is the sequence of transformations that maps a point $(x, y)$ to $(-x, -y)$ ?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

7.

If a circle has the equation $(x - 2)^2 + (y + 3)^2 = 16$ , what are the coordinates of its center?

a)

(2, 3)

b)

(2, -3)

c)

(-2, 3)

d)

(-2, -3)

8.

A ladder leans against a wall forming a $60^\circ$ angle with the ground. If the top of the ladder is 15 feet above the ground, how long is the ladder?

a)

$15\sqrt{3}$ feet

b)

$30$ feet

c)

$15\sqrt{2}$ feet

d)

$30\sqrt{2}$ feet

9.

What is the length of the arc formed by a $90^\circ$ angle in a circle with radius 12 cm?

a)

$6\pi$ cm

b)

$12\pi$ cm

c)

$18\pi$ cm

d)

$24\pi$ cm

10.

A series of transformations includes a reflection over the x-axis followed by a translation of 5 units up. What is the final position of a point originally at (3, -7)?

a)

(3, -2)

b)

(3, -12)

c)

(8, -7)

d)

(-3, -7)

11.

Calculate the radius of the circle whose center is

(5, −3) and goes through (11, 5).

12.

Write the standard equation of the circle with center (3, −2) and radius 6 units.

13.

In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.

Choose from the below words

pre-image

image

enlargement

reduction

spin

flip

14.

Which transformation does not preserves congruence? Select the correct answer. (a)

Choose from the below words

A rotation of

A reflection across the y-axis.

A dilation by a scale factor of 1.5

A translation of 50 units down.

15.

HINT: Draw the original parallelogram. Remember that the only thing that changes the size of a shape is dilation.

16.

A dilation is known as a (a) transformation.

In this type of transformation, the image and the pre-image are (b) .

Choose from the below words

rigid

non-rigid

congruent

similar

17.

Select the legs of the right triangle. (Click on the dot)

A

B

C

18.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

19.

Label each side of the right triangle.

a)

Leg

b)

right angle

c)

Hypotenuse

1

2

3

1)

2)

3)

20.

What figure is congruent to Figure A?

A

B

C

D

E

F

G

H

21.

What figure is congruent to Figure B?

A

B

C

D

E

F

G

H

22.

What figure is congruent to Figure F?

A

B

C

D

E

F

G

H

23.

Using the diagram above to identify the diameter of the circle.

a)

81 units

b)

13.5 units

c)

10.1 units

d)

101.3units

24.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

25.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

26.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

27.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

28.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

29.

A line segment between two points on the circle which passes through the center

a)

Radius

b)

Diameter

c)

Chord

d)

Tangent

30.

Circles with exactly the same radius measures

a)

Similar Circles

b)

Concentric Circles

c)

Congruent Circles

d)

Semicircle

31.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

32.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

33.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

34.

What is the radius of the circle
(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

13

35.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

36.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

37.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

38.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

39.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

40.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

d)

(-1, -1)

41.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

a)

C:(4, -2), r=5

b)

C:(-4, 2), r=5

c)

C:(4, -2), r=25

d)

C:(-4, 2), r=25

42.

What is the formula for circumference of a circle given the diameter?

a)

C = pi x radius

b)

C = pi x 2radius

c)

C = pi x diameter

d)

C = pi x 2diameter

43.

What is the formula for circumference of a circle given the radius?

a)

C = pi x radius

b)

C = pi x 2radius

c)

C = pi x diameter

d)

C = pi x 2diameter

44.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

45.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

46.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

47.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

48.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

49.

A line segment between two points on the circle which passes through the center

a)

Radius

b)

Diameter

c)

Chord

d)

Tangent

50.

Circles with exactly the same radius measures

a)

Similar Circles

b)

Concentric Circles

c)

Congruent Circles

d)

Semicircle

51.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

52.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

53.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

54.

What is the radius of the circle
(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

13

55.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

56.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

57.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

58.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

59.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

60.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

d)

(-1, -1)

61.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

a)

C:(4, -2), r=5

b)

C:(-4, 2), r=5

c)

C:(4, -2), r=25

d)

C:(-4, 2), r=25

62.

What is the formula for circumference of a circle given the diameter?

a)

C = pi x radius

b)

C = pi x 2radius

c)

C = pi x diameter

d)

C = pi x 2diameter

63.

What is the formula for circumference of a circle given the radius?

a)

C = pi x radius

b)

C = pi x 2radius

c)

C = pi x diameter

d)

C = pi x 2diameter

64.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

65.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

66.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

67.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

68.

Solve for x. Assume that lines which appear tangent are tangent.

a)

11

b)

17

c)

18

d)

12

69.

Solve for x.

a)

7.94

b)

8

c)

10.58

d)

112

70.

Solve for a.

a)

4

b)

6.93

c)

8

d)

16

71.

Find CE.

a)

12

b)

16

c)

18

d)

None of these

72.

Find x.

a)

9

b)

1

c)

27

d)

None of these

73.

Select the correct equation to solve for x.

a)

3x + 6 = 2x + 5

b)

5x = 11

c)

6x = 30

d)

6x² = 30

74.

a)

5

b)

12

c)

24

d)

10

75.

Solve for d.

a)

8

b)

9

c)

10

d)

12

76.

Solve for the value of x.

a)

27

b)

18

c)

12

d)

19

77.

Solve for a.

a)

6

b)

6.67

c)

8.33

d)

10

78.

Solve for the value of x

a)

6

b)

7

c)

8

d)

9

79.

Solve for x. Assume that lines which appear tangent are tangent.

a)

3

b)

4

c)

5

d)

6

80.

Solve for x. Assume that lines which appear tangent are tangent.

a)

11

b)

17

c)

18

d)

12

81.

Find the measure of MN. Assume that lines which appear to be tangent are tangent.

a)

43

b)

42

c)

23

d)

32

82.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

83.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

84.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

85.

Find the measure of the indicated angle.

a)

42
⁰
⁰
⁰

b)

51

c)

36

d)

45

86.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

87.

What is the value of x?

a)

75

b)

90

c)

150

d)

180

88.

Determine the value of all three variables. Rank a, b, and c in order from greatest to least.

a)

a,b,c

b)

b,a,c

c)

c,a,b

d)

c,b,a

89.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

90.

a)

A

b)

B

c)

C

d)

D

91.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

92.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

93.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

94.

a)

A

b)

B

c)

C

d)

D

95.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

96.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

97.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

98.

What is the measure of angle P in this figure?

a)

60

b)

90

c)

150

d)

300

99.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

100.

What is the measure of "?"

a)

60^o

b)

120^o

c)

240^o

d)

180^o

101.

What is the measure of arc NM?

a)

116

b)

117

c)

118

d)

119

102.

Which of the following can be used to calculate the circumference of a circle? (SELECT ALL THAT APPLY)

a)

$C=2\pi r$

b)

$C=\pi r^2$

c)

$A\ =\ \pi r^2$

d)

$C=\pi d$

103.

Calculate the circumference, $2\pi r$ , of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$4\pi$ m

b)

$1\pi$ m

c)

$2\pi$ m

104.

Calculate the circumference, $2\pi r$ , of of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$3\pi$ yd

b)

$12\pi$ yd

c)

$6\pi$ yd

105.

Calculate the circumference of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$3\pi$ km

b)

$6\pi$ km

c)

$2\pi$ km

106.

Which of the following formulas calculates the arc length of a circle? (Select ALL that apply.)

a)

$\frac{\theta}{180}\times2\pi r$

b)

$\frac{\theta}{360}\times2\pi r$

c)

$\frac{\theta}{360}\times\pi d$

d)

$\frac{\theta}{360}\times\pi r^2$

107.

Find the arc length of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$27\pi$ km

b)

$\frac{\pi}{18}$ km

c)

$15\pi$ km

d)

$\frac{15\pi}{2}$

108.

Find the arc length of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$27\pi$ km

b)

$\frac{\pi}{18}$ km

c)

$15\pi$ km

d)

$\frac{45\pi}{2}$ km

109.

Find the arc length of the circle. (Round your answer to the nearest tenth.)

a)

42.4 m

b)

21.2 m

c)

84.8 m

d)

6.7 m

110.

Match the answers to the following problems.

a)

$3\pi$

1.

Problem 1

b)

$\frac{21\pi}{2}$

2.

Problem 4

c)

$5\pi$

3.

Problem 3

d)

$\frac{289\pi}{12}$

4.

Problem 2

111.

Match the answers to the following problems. (HINT: change your answer to decimal)

a)

20.4

1.

Problem 1

b)

47.1

2.

Problem 4

c)

5.2

3.

Problem 3

d)

18.8

4.

Problem 2

112.

What is this called?

a)

Chord

b)

Minor Arc

c)

Circumference

d)

Secant

113.

What is the circumference, in inches, of a circle with a radius of 8 inches?

a)

4π

b)

8π

c)

12π

d)

16π

e)

64π

114.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

115.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

116.

What is the area of the shaded sector?

a)

221π/36

b)

3757π/72

c)

3757π/18

d)

None of these

117.

What is the area of the shaded sector?

a)

40π/9

b)

400π/9

c)

80π/9

d)

1600π/9

118.

Match the following formulas.

a)

$\ 2\pi\left(r\right)$

1.

Circumference

b)

$\ \pi\left(r\right)^2$

2.

Area

c)

$\ \frac{2\pi\left(r\right)\left(\theta\right)}{360\degree}$

3.

Arc Length

d)

$\ \frac{\pi\left(r\right)^2\left(\theta\right)}{360\degree}$

4.

Area of Sector

119.

Match the following

a)

The distance around the circle.

1.

Circumference

b)

The amount of space inside the circle.

2.

Area

c)

The distance around a section of the circle.

3.

Arc Length

d)

The amount of space inside a section of the circle.

4.

Area of a Sector

120.

What is the green area called?

a)

Sector

b)

Circumference

c)

Arc Length

d)

Area

121.

Find exact length of the un-shaded part of the circle.

a)

$6\pi\ cm$

b)

$8\pi\ cm$

c)

$2\pi\ cm$

d)

$4\pi\ cm$

Adaptive EOC Practice Test 4

Total questions: 121

Worksheet time: 20hrs 10mins

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