Free Printable GU1-8 2023-2024 Review (Poly, Proofs, Cong, Sim, Right Tri Trig)

1.

[GU1-8 2023-2024 Review (Poly 11-19 | Proofs 21-62 | Cong 1-10 and 63-82 | Sim 83-97 | Right Tri Trig 98-118) | 6 Circles 119 - 137, 138 - 152 Equation of Circle | 7 Volume 153 - 174 | 8 ProbStat 175 - 194, Probability Distribution and Expected Value 195 - 204]

[BEGIN U3: Exploring Congruence (Transformations)]

What is the rule for the following reflection?

a)

Reflection across

y = −1

b)

Reflection across

y = 1

c)

Reflection across

x = −1

d)

Reflection across

x = 1

2.

Triangle EFG has vertices E(3,2), F(2,5), and G(-1,2). If it is translated by <-1,-4>, then E' is ...

a)

(-4,-6)

b)

(2,2)

c)

(-2,2)

d)

(2,-2)

3.

Triangle ABC will be translated 3 units right and 6 units up. What will be the coordinates of the image of point A?

a)

A'(-4,7)

b)

A'(-4,-7)

c)

A'(4,7)

d)

A'(4,-7)

4.

What is the angle of the clockwise rotation?

a)

90°

b)

180°

c)

270°

d)

0°

5.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter-clockwise rotation

c)

Reflection across the x-axis

d)

Translation (x, y-2)

6.

Identify the transformation from ABC to A'B'C'.

a)

T(x+8, y+4)

b)

T(x-8, y-4)

c)

T(x+4, y+8)

d)

T(x-4, y-8)

7.

Describe the sequence of transformations shown (from A to A' to A").

a)

Reflect across the x-axis, then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin, then reflect across the line y = x.

c)

Reflect across the x-axis, then reflect across the y-axis.

d)

Translate up 8 units, then rotate 90 degrees counterclockwise about the origin.

8.

Describe the sequence of transformations that map ABC to A'B'C' to A"B"C".

a)

translate 5 units up and 1 left, then reflect over the y-axis

b)

translate 5 units down and 1 unit left, then reflect over the y-axis

c)

reflect over the line y = x, then translate left 8 units

d)

reflect over the x-axis, then rotate 90 degrees clockwise

9.

Choose the sequence of transformations that map ABC to A'B'C' to A''B''C''.

a)

Translate right 1 unit, down 4 units, and then reflect over the y-axis

b)

Translate right 6 units, and then reflect over the x-axis

c)

Reflect over the line y = x, and then translate up 4 units, then right 2 units

d)

Reflect over the y-axis, then left 1 unit and up 1 unit

10.

[END U3: Exploring Congruence (Transformations)] Which best describes the sequence of transformations from ABC to A'B'C' to A''B''C''?

a)

Rotate triangle ABC 90° clockwise, then reflect across the y-axis

b)

Reflect triangle ABC over the y-axis, then rotate 90° clockwise about the origin

c)

Reflect triangle ABC over y-axis, then rotate 90° counterclockwise about the origin

d)

Rotate triangle ABC 90° counter-clockwise, then reflect across the y-axis

11.

[BEGIN U1: Exploring Polynomial Expressions Through Geometry] Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

12.

Classify the following polynomial

a)

quadratic trinomial

b)

cubic binomial

13.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

14.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

15.

Multiply:
(r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

16.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

17.

Find the area of the given rectangle.

a)

$42x^3+28x^2$

b)

$42x^2+28x^{ }$

c)

$42x^3+4x^2$

d)

$13x^3+11x^2$

18.

Find the area of the given rectangle.

a)

$18x^2-48x+6$

b)

$18x^3-48x+6x$

c)

$18x^3-48x^2+6x$

d)

$9x^3-14x^2+7x$

19.

[END U1: Exploring Polynomial Expressions Through Geometry] The following image is a square. Find the PERIMETER AND AREA of the polygon.

a)

PERIMETER: $16x^3$ AREA: $16x^6$

b)

PERIMETER: $16x^6$ AREA: $16x^3$

c)

PERIMETER: $8x^3$ AREA: $8x^6$

d)

PERIMETER: $8x^6$ AREA: $8x^3$

20.

[BEGIN U2: Geometric Foundations, Constructions, and Proofs] Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

21.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

22.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

23.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

24.

What does this symbol mean?

a)

less than

b)

greater than

c)

congruent

d)

similar

25.

In angle ABC, B is the...

a)

rays

b)

plane

c)

compass

d)

vertex

26.

In angle ABC, BA and BC are...

a)

rays

b)

plane

c)

compass

d)

vertex

27.

Line m and Line l are...

a)

parallel

b)

perpendicular

c)

plane

d)

paired

28.

What is the relationship of the angle pair?

a)

Acute

b)

Supplementary

c)

Vertical

d)

Complementary

29.

What is the relationship of the angle pair?

a)

Acute

b)

Supplementary

c)

Vertical

d)

Complementary

30.

What is the relationship of the angle pair?

a)

Linear

b)

Supplementary

c)

Vertical

d)

Complementary

31.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

32.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

33.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

34.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

35.

Find AC

a)

7

b)

8

c)

22

d)

23

36.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

37.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

38.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

39.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

40.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

41.

If lines are parallel, then alternate interior angles are _____________

a)

congruent

b)

parallel

c)

complementary

d)

supplementary

42.

What word describes line Z?

a)

Transversal

b)

Parallel

c)

Corresponding

d)

Same side interior

43.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

44.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

45.

Find L

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

46.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
49

b)

Same Side Interior
131

c)

Same Side Interior
49

d)

Alternate Interior
131

47.

State the angle relationship and find the measure of angle 1

a)

Corresponding
110

b)

Alternate Exterior
110

c)

Corresponding
70

d)

Alternate Exterior
70

48.

Supplementary Angles measure _____ degrees.

a)

180

b)

55

c)

100

d)

90

49.

Identify the type of angle shown.

a)

Complementary

b)

Supplementary

50.

Find the value of x.

a)

38°

b)

52°

c)

142°

d)

152°

51.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

52.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

53.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

54.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

55.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

56.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

57.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

58.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

59.

Solve for x

a)

49

b)

58

c)

70

d)

94

60.

Solve for x

a)

65

b)

74

c)

37

d)

64

61.

Solve for x

a)

70

b)

23

c)

120

d)

130

62.

[END U2: Geometric Foundations, Constructions, and Proofs] Solve for x

a)

105

b)

78

c)

110

d)

25

63.

[RESUME U3: Exploring Congruence (SEE Q1-Q10)] What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

64.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

65.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

66.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

67.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

68.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

69.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

70.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

71.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

72.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

73.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

74.

What additional information is required to prove the 2 triangles are congruent by ASA

a)

A)

b)

B)

c)

C)

d)

D)

75.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

76.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

77.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

78.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

Which statement is true for

\Delta ABC\cong\Delta DEF

a)

$\angle A\cong\angle B$

b)

$\angle A\cong\angle F$

c)

$\angle A\cong\angle D$

d)

$\angle A\cong\angle E$

82.

[END U3: Exploring Congruence (SEE Q1-Q10)] Which statement is true for

$\Delta ABC\cong\Delta DEF$

a)

$\overline{BC}\cong\overline{DE}$

b)

$\overline{BC}\cong\overline{EF}$

c)

$\overline{BC}\cong\overline{DF}$

83.

[BEGIN U4: Investigating Similarity] Are the triangles similar?

a)

Yes

b)

No

84.

Are the triangles similar?

a)

Yes

b)

No

85.

Are the triangles similar?

a)

Yes

b)

No

86.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

87.

∠U = ≅

a)

∠F

b)

∠G

c)

∠E

88.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

89.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

90.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

91.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

92.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by SAS

b)

Not Similar

c)

Similar by SSS

d)

Similar by SAS

93.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by AA

b)

Not Similar

c)

Similar by SAS

d)

Similar by SSS

94.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Not Similar

b)

Similar by SSS and by SAS

c)

Similar by AA

d)

Similar by SAS

95.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by SSS

b)

Similar by AA

c)

Similar by SAS

d)

Not Similar

96.

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by SSS and SAS

b)

Not Similar

c)

Similar SAS

d)

Similar by AA

97.

[END U4: Investigating Similarity] State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

a)

Similar by AA

b)

Similar by SAS

c)

Similar by SSS

d)

Not Similar

98.

[BEGIN U5: Right Triangle Trigonometry] If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

99.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

100.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

101.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

102.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

103.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

104.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

105.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

106.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

107.

Find the measure of AB.

a)

11.6

b)

6.99

c)

14.3

d)

5.7

108.

Find the length of AC.

a)

5.7

b)

15.3

c)

34.4

d)

12.8

109.

Find the measure of the missing angle.

a)

70.8

b)

19.2

c)

43.4

d)

26.2

110.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

111.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

116.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

117.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

118.

[END U5: Right Triangle Trigonometry] Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

119.

[BEGIN U6 CIRCLES] Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

120.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

121.

Find the measure of arc NL. Assume that segment ML is a diameter.

a)

21°

b)

42°

c)

45°

d)

84°

122.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

123.

If you are given a radius and asked to find the diameter what do you do?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

124.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

125.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

126.

Can a secant be a tangent?

a)

yes they are both the same line

b)

yes they are both parts of a circle

c)

No secant intersects twice and tangent intersects once

d)

No they both have nothing to do with circles

127.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

128.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

129.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

130.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

131.

Name a secant.

a)

BD

b)

DG

c)

HF

d)

AF

132.

a)

Name the circle: Circle B

b)

Name the circle: Circle DE

c)

Name the circle: Circle A

d)

Name the circle: Circle DBC

133.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

134.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

135.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

136.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

137.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

138.

[BEGIN Equation of Circle] 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)

139.

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

a)

4

b)

3

c)

5

d)

25

140.

In the equation (x - 4)²+ (x - 3)²= 25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

141.

In the equation (x - 3)²+ (y + 4)²= 121, the radius of the circle is

a)

3

b)

11

c)

121

d)

4

142.

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

143.

See Picture

a)

A

b)

B

c)

C

144.

See Picture

a)

A

b)

B

c)

C

d)

D

145.

What is 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

146.

a)

A

b)

B

c)

C

d)

D

147.

What is the equation for this circle?

a)

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

b)

x²+y²=9

c)

x+y=9

148.

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

149.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 5)²+ (y + 2)²= 144

b)

(x - 5)² + (y + 2)² = 36

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 5)²+ (y - 2)²= 144

150.

What does (h,k) standard for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is a point that we guess and find

d)

(h,k) is the distance of the circle

151.

What does the r in the standard equation stand for?

a)

r is the distance of the circle

b)

r is the radius of the circle

c)

r is the x coordinate of the center of the circle

d)

r is the y coordinate of the center of the circle

152.

[END Equation of Circle] [END U6 CIRCLES] Find the center of the circle if the endpoints of a diameter of the circle are at (-11, -7) and (3, 5)

a)

(-4, -1)

b)

(-8, -2)

c)

(-7, -6)

d)

(4, 1)

153.

[BEGIN U7 VOLUME] Find the volume.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

154.

What shape is this?

a)

cone

b)

pyramid

c)

rectangular prism

d)

cube

155.

Find the area of the shape above

a)

72 square inches

b)

57 inches

c)

72 inches

d)

57 square inches

156.

Find the area of the shape above

a)

67

b)

52 sq cm

c)

67 sq cm

d)

52 cm

157.

A box has a length of 7 centimeters, a width of 5 centimeters, and a height of 8 centimeters. What is the volume of the box?

a)

61 cubic centimeters

b)

96 cubic centimeters

c)

250 cubic centimeters

d)

280 cubic centimeters

158.

The laundry basket is 10 feet tall. It is 2 feet wide. The volume is 160 cubic feet. How long is the laundry basket?

a)

20 ft.

b)

8 ft.

c)

172 ft.

d)

160 ft

159.

Which formula can be used to find the volume of a rectangular prism?

a)

length x width

b)

length x width x height

c)

height x length

d)

length + width + height

160.

Find the volume of the figure.

a)

1,800 cm³

b)

900 cm³

c)

600 cm³

d)

750 cm³

161.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

162.

Find the volume of the following cone.

a)

156 ∏ m³

b)

702∏ m³

c)

2,106∏ m³

d)

78∏ m³

163.

V = ?

a)

1,077.02 yd³

b)

269.255 yd³

c)

153.86 yd³

164.

A cylindrical container has a diameter of 12 inches and a height of 15 inches. What is the volume of this container to the nearest tenth?

a)

4,241.2

b)

1,696.5

c)

2,160.0

d)

6,785.8

165.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

166.

ice cream is served on a cone the height is 7 and the diameter is 6. what is the radius?

a)

333

b)

3

c)

323

d)

423

167.

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.

a)

216 cm³

b)

25 cm³

c)

100 cm³

d)

191 cm³

168.

What does the "B" in the volume formula V = Bh stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

169.

Which formula has B correctly substituted for the volume of a cylinder?

a)

V=πr²h

b)

V=πr²

c)

V=2πrh

d)

V=rh

170.

What formula could be used to find the volume of this shape?

a)

V=2πrh

b)

V=1/3Bh

c)

V=Bh

d)

V=πr²

171.

What formula could be used to find the volume of this 3D shape?

a)

V=1/3Bh

b)

V=3/4πr²

c)

V=Bh

d)

V=2πrh

172.

Find the volume

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

173.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

174.

[END U7 VOLUME] Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.

a)

83.6 cm³

b)

2144.7 cm³

c)

254 cm³

d)

2220 cm³

175.

[BEGIN 8 PROBABILITY] What is the probability that the person picked will be a boy given they speak German?

a)

.7273

b)

.4

c)

.16

d)

.22

176.

What is the probability that a female is chosen given they like a Toyota?

a)

.525

b)

.4627

c)

.6774

d)

.3143

177.

What is the probability that they speak French given that they are a girl?

a)

2.14

b)

.24

c)

.4

d)

.8571

178.

What is the probability that a student plays an instrument?

a)

.55

b)

.5

c)

.45

d)

.4

179.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

a)

3/20

b)

1/4

c)

3/31

d)

2/27

180.

A day in the year is randomly chosen. Given the day is in the month of December, what is the probability the day is the 25^th? (December has 31 total days.)

a)

8.5%

b)

8.84%

c)

80.6%

d)

3.2%

181.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)

a)

1/15

b)

2/15

c)

3/31

d)

1/5

182.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

183.

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. What is the probability that the coin is a nickle both times?

a)

36/169

b)

6/13

c)

5/16

d)

3/19

184.

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.

a)

2/15

b)

3/17

c)

1/19

d)

6/21

185.

There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?

a)

7/26

b)

1/2

c)

2/17

d)

8/29

186.

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

a)

spin a spinner with four sections 25 times

b)

roll a die 25 times

c)

flip a coin 25 times

d)

roll a die 4 times

187.

A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?

a)

spin a spinner with 4 equal sections

b)

roll a die twice

c)

flip a coin twice

d)

flip a coin, then roll a die

188.

Samuel has 5 different colors of pens and 2 different colors of paper. Which model could be used to show how many different choices he has?

a)

spin a spinner with 5 sections, then flip a coin

b)

roll a die 5 times

c)

flip a coin 5 times

d)

roll a die, then flip a coin 5 times

189.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

190.

What is P(Foreign language | Sport)?

a)

14/27

b)

7/12

c)

23/47

d)

37/47

191.

How many senior boys play football or wrestle?

a)

9

b)

21

c)

30

d)

39

192.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

193.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

194.

A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and then replaced. What is the probability the first marble is pink and the second is red?

a)

26.9%

b)

24.7%

c)

20.0%

d)

5%

195.

[BEGIN Probability Distribution and Expected Value] Given the probability model in the table below, what is the expected value of the random variable?
X 50 20 5
P(X) 0.1 0.3 0.6

a)

14

b)

4.67

c)

5

d)

7.5

196.

If the expected value is negative, are you expected to win?

a)

yes

b)

no

197.

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

a)

$12.50

b)

$5

c)

$7.50

d)

$10

198.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

199.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

200.

You pick a card from a deck. If you get a face card (12/52), you win $5. If you get an ace (4/52), you win $30. For any other card (26/52), you win nothing. Find the expected value you will win.

a)

$5.00

b)

$3.55

c)

$4.04

d)

$3.46

201.

A game involves rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green wins $2.00. A roll of blue wins $5.00. The charge to play the game is $2.00. What is the expected value

a)

$0

b)

-$0.50

c)

$.67

d)

$-1.50

202.

If the expected value is positive, are you expected to win?

a)

yes

b)

no

203.

Expected value is

a)

an average.

b)

a predicted value of a game.

c)

the sum of the values multiplied by their probabilities.

d)

all of the above.

204.

[END Probability Distribution and Expected Value] [END 8 PROBABILITY] Choose an American household at random. What is the expected number of cars for that household?

a)

1.75

b)

1.84

c)

2.00

d)

2.50

GU1-8 2023-2024 Review (Poly, Proofs, Cong, Sim, Right Tri Trig)

Total questions: 204

Worksheet time: 51hrs 0mins

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