Free Printable Makeup SOL Test

1.

Name the pictured construction.

a)

Circled Hexagon

b)

Hexagon Inscribed in a Circle

c)

Square Inscribed in a Circle

d)

Triangle Inscribed in a Circle

2.

Connecting every other point where the arcs intersect the circle will finish the construction of what polygon?

a)

equilateral triangle

b)

square

c)

hexagon

d)

rectangle

3.

The steps shown are a part of the construction of which figure?

a)

inscribed square

b)

circumscribed rectangle

c)

inscribed equilateral triangle

d)

regular hexagon

4.

Name the construction pictured

a)

Inscribed circle about a nonagon

b)

Inscribed hexagon

c)

Inscribed circle about a triangle

d)

Circumscribed obtuse triangle

5.

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

a)

a line through P parallel to line l

b)

a line through P intersecting line l

c)

a line through P congruent to line l

d)

a line through P perpendicular to line l

6.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Perpendicular line to a point on the line

d)

Perpendicular bisector of a line segment

7.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

8.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

9.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

10.

Conditional Statement $p\ \rightarrow\ q$

What is the inverse?

a)

$\sim q\ \rightarrow\ \sim p$

b)

$q\ \rightarrow\ p$

c)

$\sim p\ \rightarrow\ \sim q$

11.

Conditional Statement $p\ \rightarrow\ q$

What is the contrapositive?

a)

$\sim q\ \rightarrow\ \sim p$

b)

$q\ \rightarrow\ p$

c)

$\sim p\ \rightarrow\ \sim q$

12.

Original: If the angles are congruent, then the measures of the angles are equal.

What is this statement called: If the measures of the angles are not equal, then the angles are not congruent.

a)

Conditional

b)

Converse

c)

Inverse

d)

Contrapositive

13.

What is the Inverse ( $\sim p\rightarrow\sim q$ ) of the statement: If I go to the cafeteria, then I get lunch.

a)

If I get lunch, then I go to the cafeteria.

b)

If I do not get lunch, then I do not go to the cafeteria.

c)

If I do not go to the cafeteria, then I do not get lunch.

d)

If I do not get lunch, then I do not go to the cafeteria.

14.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

15.

If something is an angle, then it is acute. What is an appropriate counter-example?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

16.

Which of the following is a counterexample for this conditional statement:

If a food is round, then it is a pizza.

a)

a sandwich

b)

a piece of celery

c)

a cookie

d)

a banana

17.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

18.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

19.

Determine the line of reflection.

a)

$x=0$

b)

y-axis

c)

$y=x$

d)

x-axis

20.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

21.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

22.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

23.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

24.

What is the value of x?

a)

70

b)

28

c)

140

d)

40

25.

So x is 22. What explanation proves lines are parallel.

a)

When you plug in x, your angle becomes 50. So because 50 + 130 = 180. These are supplementary. And because of the consecutive interior angle postulate, we proved the lines are parallel.

b)

When you plug in x, your angle becomes 130 and because 130 is equal to 130. We proved the lines are parallel.

26.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

27.

How long is segment BC in the final slide? (The image from the slide is shown here)

(a)

28.

Write a congruence statement based on this diagram.

a)

$\overline{PS}\ \cong\ \overline{SR}$

b)

$\overline{RS}\ \cong\ \overline{SQ}$

c)

$\overline{PS}\ \cong\ \overline{SQ}$

d)

$\overline{PQ}\ \cong\ \overline{RS}$

29.

What geometric construction is shown in the diagram below?

a)

an angle bisector

b)

a line parallel to a given line

c)

an angle congruent to a given angle

d)

a perpendicular bisector of a segment

30.

Which of these statements is a Given?

a)

D and A are on a circle with center B

b)

D and A are on a circle with center C

c)

B and C are on a circle with center A

d)

B and C are on a circle with center D

31.

The figure shows the construction of the bisector of ∠CAB. Which distances can you assume are equal?

a)

AC and AG

b)

AC and AB

c)

AG and AB

d)

AC and BC

32.

The figure shows the construction of the bisector of ∠CAB. If you know that distance BG = 1.7 cm, what else do you know after the construction is completed?

a)

AC = 3.4 cm

b)

AB = 3.4 cm

c)

CG = 1.7 cm

d)

BC = 1.7 cm

33.

Are the triangles similar?

a)

Yes

b)

No

34.

The 2 shapes are similar. Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

35.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

36.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

37.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

38.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

39.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

40.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

41.

What is the range of values the third side of the triangle could be?

a)

A

b)

B

c)

C

d)

D

42.

Place the following in order from least to greatest.

a)

m $\angle$ Y

b)

m $\angle$ X

c)

m $\angle$ Z

1)

2)

3)

43.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

44.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

45.

Fill in the blanks of the compound inequality that gives the restrictions on x.

Three sides of a triangle are 5, 8, and x.

(a) < x < (b)

Choose from the below words

3

13

-3

5

8

40

46.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

47.

List the angles of ΔTVX in order

from smallest to largest.

a)

∠V, ∠T, ∠X

b)

∠T, ∠V, ∠X

c)

∠X, ∠T, ∠V

48.

Find the measure of the missing angle in the triangle.

a)

$90\degree$

b)

$45\degree$

c)

$135\degree$

d)

$180\degree$

49.

What does CPCTC stand for?

a)

Congruent Parts of Corresponding Triangles are Congruent

b)

Congruent Triangles of Congruent Parts are Congruent

c)

Corresponding Triangles of Congruent Parts are Congruent

d)

Craig

e)

Corresponding Parts of Congruent Triangles are Congruent

50.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

51.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

52.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

53.

If the measure of arc ABC = 210°, what is the measure of central angle ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

54.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

55.

Which circle has a center at (-3,-6) and passes through the point (-4,8)?

a)

(x-3)²+(y-6)²=197

b)

(x+3)²+(y+6)²=197

c)

(x-3)²+(y-6)²=32

d)

(x+3)²+(y+6)²=32

56.

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

a)

2:3

b)

4:9

c)

3:4

d)

64:729

57.

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

a)

2/3

b)

64/729

c)

512/19683

d)

8/27

58.

What is the Surface Area?

a)

135.65 m²

b)

242.32 m²

c)

872.89 m2

d)

825.25 m²

59.

What is the Volume?

a)

91.67 m³

b)

25.32 m³

c)

213.84 m³

d)

294.45 m³

60.

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

a)

2/3

b)

64/729

c)

512/19683

d)

8/27

61.

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)

62.

Which line is not parallel to line d?

a)

b

b)

c

c)

e

63.

a)

A

b)

B

c)

C

d)

D

64.

Which letter does not have line symmetry?
G H O E

a)

G

b)

H

c)

O

d)

E

65.

The point (3,-2) is reflected across y = -x. What are the coordinates after the transformation?

a)

(-2, 3)

b)

(3, -2)

c)

(2, -3)

d)

(2, 3)

66.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

67.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

68.

What is the endpoint of the line segment if the other endpoint is (5, 1) and the midpoint is (3, 3)?

a)

(1, 5)

b)

(3, 3)

c)

(5, 1)

d)

None of the above

69.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

70.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

71.

Which pair of angles must be supplementary so that r is parallel to s?

a)

∠2 and ∠3

b)

∠5 and ∠6

c)

∠4 and ∠10

d)

∠6 and ∠14

72.

If the coordinates of A are (1, 1) and the midpoint of AB is (–2, 0), then the coordinates of B are ---

a)

(–0.5, 0.5)

b)

(0.5, 0.5)

c)

(-1, 0)

d)

(-5,-1)

73.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

74.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

75.

a)

A

b)

B

c)

C

d)

D

76.

Rectangle JKLM is shown.

What is the value of x?

a)

29

b)

43

c)

28

d)

12

77.

ABCD is a rhombus

Which of the following is the measure of $\angle CBD$ ?

a)

$50\degree$

b)

$60\degree$

c)

$70\degree$

d)

$75\degree$

78.

In parallelogram ABCD, what is $m\angle BDC$ ?

a)

$70\degree$

b)

$45\degree$

c)

$35\degree$

d)

$25\degree$

79.

Which point lies on the circle represented by the equation $\left(x-1\right)^2+\left(y-3\right)^2=49$

a)

$\left(0,7\right)$

b)

$\left(1,3\right)$

c)

$\left(8,3\right)$

d)

$\left(-1,4\right)$

80.

Chords $\overline{WP}$ and $\overline{KZ}$ intersect at point L in the circle shown. What is the length of $\overline{KZ}$ ?

a)

12

b)

7.5

c)

10

d)

9

81.

An architect used a diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70 degrees to determine the length of the railing needed for the balcony.

Which is closest to the length of railing needed for the curved section of balcony?

a)

977 ft

b)

24 ft

c)

49 ft

d)

251 ft

82.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

83.

Solve for x.

a)

167

b)

11

c)

9

d)

118

84.

What is the value of x?

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

85.

What is the $m\angle b$ ?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

86.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

87.

What is the sum of the exterior angles of a 20-gon?

a)

$80\degree$

b)

$360\degree$

c)

$3240\degree$

d)

$162\degree$

88.

Solve for x.

a)

80

b)

110

c)

17

d)

60

89.

What is the sum of the interior angles for a 24-gon?

a)

$3960\degree$

b)

$360\degree$

c)

$15\degree$

d)

$4280\degree$

90.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

91.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

92.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

17

b)

15

c)

19

d)

11

93.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

94.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft²

b)

4.5 ft²

c)

6.3 ft²

d)

7.1 ft²

95.

Solve for x.

a)

x = 12

b)

x = 24

c)

x = 2

d)

x = 53

96.

Given ABCE is a parallelogram, how long is AB and AD.

a)

AB=7, AD=9

b)

AB=16, AD=12

c)

AB=14, AD=10

d)

AB=18, AD=15

97.

The sum of the interior angles in a polygon is 3,240^o. How many sides are in the polygon?

a)

10

b)

582,840

c)

18

d)

20

98.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

99.

Solve for x

a)

45

b)

12

c)

90

d)

2

100.

Find the m∠ABD.

a)

14º

b)

51º

c)

37º

d)

65º

101.

Find the measure of arc KM.

a)

29º

b)

33º

c)

41.5º

d)

50º

102.

In the diagram, find the measure of arc TS.

a)

A. 90º

b)

B. 100º

c)

C. 115º

d)

D. 130º

103.

Find the measure of minor arc SL.

a)

A. 105º

b)

B. 175º

c)

C. 145º

d)

D. 150º

104.

Find the value of x. Enter your answer as a number only.

(a)

105.

a)

25

b)

16

c)

4

d)

18

106.

a)

1

b)

2

c)

3

d)

4

107.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

108.

Two spheres have a scale factor ratio of 1:3. The smaller sphere has a surface area of 16 ft²_. Find the surface area of the larger sphere.

a)

48 ft²

b)

144 ft²

c)

432 ft²

d)

32 ft²

109.

Find the area of the sector shown. Round to the nearest hundredth

(a)

110.

a)

33

b)

18

c)

46

d)

16

111.

a)

b)

c)

d)

112.

a)

82.5 degrees

b)

97.5 degrees

c)

120 degrees

d)

130 degrees

113.

Which of the following nets could not be folded along the dotted lines to form a cube?

a)

b)

c)

d)

114.

The radius of Sphere A is 2 inches, and the radius of Sphere B is 4 inches. How many times larger is the volume of Sphere B compared to the volume of Sphere A ?

a)

2

b)

3

c)

4

d)

8

115.

A cylinder has a diameter of 10 inches and a height four times its radius.

What is its volume?

a)

500π cu in.

b)

2,000π cu in.

c)

4,000π cu in.

d)

40,000π cu in.

116.

What is the measure of <C?

a)

5º

b)

25º

c)

100º

d)

125º

117.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

118.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

119.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

120.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

121.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

Makeup SOL Test

Total questions: 121

Worksheet time: 8hrs 16mins

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