Question 1

In the illustration, polygon ABCD is similar to polygon FGHI. Find∠H, FI, IH, BC. Round your answer to the nearest tenth.

Accepted Answer

A)  ∠H = 90°, FI = 2.5, IH = 1.1, BC = 2. 
B)  ∠H = 45°, FI = 2.5, IH = 1.1, BC = 2. 
C)  ∠H = 60°, FI = 2.5, IH = 2, BC = 1.1. 
D)  ∠H = 90°, FI = 1.1, IH = 2, BC = 5. 
E)  ∠H = 90°, FI = 2, IH = 1.1, BC = 5. 
A)  ∠H = 90°, FI = 2.5, IH = 1.1, BC = 2. 
B)  ∠H = 45°, FI = 2.5, IH = 1.1, BC = 2. 
C)  ∠H = 60°, FI = 2.5, IH = 2, BC = 1.1. 
D)  ∠H = 90°, FI = 1.1, IH = 2, BC = 5. 
E)  ∠H = 90°, FI = 2, IH = 1.1, BC = 5.

Question 2

Find the length of the diameter of a circular silo with circumference 64 ft. Use the rules for working with measurements.

Accepted Answer

A)  The diameter is 30.6 ft. 
B)  The diameter is 40.7 ft. 
C)  The diameter is 81.5 ft. 
D)  The diameter is 20.4 ft. 
E)  The diameter is 201 ft. 
A)  The diameter is 30.6 ft. 
B)  The diameter is 40.7 ft. 
C)  The diameter is 81.5 ft. 
D)  The diameter is 20.4 ft. 
E)  The diameter is 201 ft.

Question 3

Find the lateral surface area and the total surface area of the right circular cylinder shown in the illustration.

Accepted Answer

A)  The lateral surface area is 6,610 cm 2, The total surface area is 9,140 cm 2. 
B)  The lateral surface area is 13,200 cm 2, The total surface area is 18,300 cm 2. 
C)  The lateral surface area is 3,310 cm 2, The total surface area is 9,140 cm 2. 
D)  The lateral surface area is 6,610 cm 2, The total surface area is 18,300 cm 2. 
E)  The lateral surface area is 3,310 cm 2, The total surface area is 18,300 cm 2. 
A)  The lateral surface area is 6,610 cm 2, The total surface area is 9,140 cm 2. 
B)  The lateral surface area is 13,200 cm 2, The total surface area is 18,300 cm 2. 
C)  The lateral surface area is 3,310 cm 2, The total surface area is 9,140 cm 2. 
D)  The lateral surface area is 6,610 cm 2, The total surface area is 18,300 cm 2. 
E)  The lateral surface area is 3,310 cm 2, The total surface area is 18,300 cm 2.

Question 4

A small ball bearing has a diameter of $0.615$ in. What is the volume of the bearing?

Accepted Answer

A)  0.109 in. 3 
B)  0.238 in. 3 
C)  0.088 in. 3 
D)  0.122 in. 3 
E)  0.0685 in. 3 
A)  0.109 in. 3 
B)  0.238 in. 3 
C)  0.088 in. 3 
D)  0.122 in. 3 
E)  0.0685 in. 3

Question 5

Find the perimeter and the area of the quadrilateral.

Accepted Answer

A)  A = 215 m 2 
B)  A = 216 m 2 
C)  A = 108 m 2 
D)  P = 59 m 
E)  P = 60 m
F) P = 29.5 m 
A)  A = 215 m 2 
B)  A = 216 m 2 
C)  A = 108 m 2 
D)  P = 59 m 
E)  P = 60 m
F) P = 29.5 m

Question 6

Following the rules for working with measurements, find the lateral surface area of the prism in the illustration A L, the total surface area of the prism A T (h = 11.2 in.), and the volume of the prism V.

Accepted Answer

A)  A L = 459 in. 2, A T = 609 in. 2, V = 865 in. 3 
B)  A L = 614 in. 2, A T = 459 in. 2, V = 866 in. 3 
C)  A L = 459 in. 2, A T = 534 in. 2, V = 865 in. 3 
D)  A L = 459 in. 2, A T = 614 in. 2, V = 866 in. 3 
E)  A L = 609 in. 2, A T = 459 in. 2, V = 865 in. 3 
A)  A L = 459 in. 2, A T = 609 in. 2, V = 865 in. 3 
B)  A L = 614 in. 2, A T = 459 in. 2, V = 866 in. 3 
C)  A L = 459 in. 2, A T = 534 in. 2, V = 865 in. 3 
D)  A L = 459 in. 2, A T = 614 in. 2, V = 866 in. 3 
E)  A L = 609 in. 2, A T = 459 in. 2, V = 865 in. 3

Question 7

You are designing a dome house in the shape of a hemisphere with a 35 ft outside diameter. How many square feet of "stucco" should be listed on the bill of materials as needed to cover this home if 15% of it is windows and doors?

Accepted Answer

A)  1,640 ft 2 
B)  1,620 ft 2 
C)  1,670 ft 2 
D)  1,650 ft 2 
E)  3,270 ft 2 
A)  1,640 ft 2 
B)  1,620 ft 2 
C)  1,670 ft 2 
D)  1,650 ft 2 
E)  3,270 ft 2

Question 8

Find the area and the perimeter of the triangle shown below. Use the rules for working with measurements.

Accepted Answer

A)  perimeter = 36.3 ft, area = 31.2 ft 2 
B)  perimeter = 37.4 ft, area = 29.0 ft 2 
C)  perimeter = 36.3 ft, area = 26.8 ft 2 
D)  perimeter = 36.3 ft, area = 29.0 ft 2 
E)  perimeter = 37.4 ft, area = 31.2 ft 2 
A)  perimeter = 36.3 ft, area = 31.2 ft 2 
B)  perimeter = 37.4 ft, area = 29.0 ft 2 
C)  perimeter = 36.3 ft, area = 26.8 ft 2 
D)  perimeter = 36.3 ft, area = 29.0 ft 2 
E)  perimeter = 37.4 ft, area = 31.2 ft 2

Question 9

Find the area and perimeter of the figure in the illustration. Use the rules for working with measurements.

Accepted Answer

A)  The perimeter is 105 in., the area is 521 in 2. 
B)  The perimeter is 82.3 in., the area is 370 in 2. 
C)  The perimeter is 130 in., the area is 1,440 in 2. 
D)  The perimeter is 162 in., the area is 1,042 in 2. 
E)  The perimeter is 130 in., the area is 841 in 2. 
A)  The perimeter is 105 in., the area is 521 in 2. 
B)  The perimeter is 82.3 in., the area is 370 in 2. 
C)  The perimeter is 130 in., the area is 1,440 in 2. 
D)  The perimeter is 162 in., the area is 1,042 in 2. 
E)  The perimeter is 130 in., the area is 841 in 2.

Question 10

By law, all businesses outside the Parkville city limits must fence their lots. How many feet of fence will be needed to fence the parallelogram-shaped lot shown on the picture below?

Accepted Answer

A)  285,7 in. 
B)  571.4 in. 
C)  570.1 in. 
D)  573.4 in. 
E)  570 in. 
A)  285,7 in. 
B)  571.4 in. 
C)  570.1 in. 
D)  573.4 in. 
E)  570 in.

Question 11

What type of angles are $\angle 1 , \angle 4$ ?

Accepted Answer

A)  corresponding 
B)  vertical angles 
C)  complementary 
D)  supplementary 
E)  adjacent angles 
A)  corresponding 
B)  vertical angles 
C)  complementary 
D)  supplementary 
E)  adjacent angles

Question 12

An experimental aircraft has a plexiglass covering over the cockpit that is hemispherical. If the radius of the hemisphere is 2.00 ft, what is the surface area?

Accepted Answer

A)  17.3 ft 2 
B)  35.3 ft 2 
C)  40.4 ft 2 
D)  25.1 ft 2 
E)  50.3 ft 2 
A)  17.3 ft 2 
B)  35.3 ft 2 
C)  40.4 ft 2 
D)  25.1 ft 2 
E)  50.3 ft 2

Question 13

Follow the rules for working with measurements. A cylindrical piece of stock is turned on a lathe from 3.3 in. down to 2.3 in. in diameter. The cut is 3 in. long. What is the volume of the metal removed?

Accepted Answer

A)  2.36 in 3 
B)  13.2 in 3 
C)  5.28 in 3 
D)  0.66 in 3 
E)  2.64 in 3 
A)  2.36 in 3 
B)  13.2 in 3 
C)  5.28 in 3 
D)  0.66 in 3 
E)  2.64 in 3

Question 14

Find x and y to three significant digits using the formula $s = n \Theta$ ( $\Theta$ in radians).   $\begin{array} { | c | c | c | } 
\hline \text { Radius, } r & \text { Angle, } & \text { Distance, } s \
\hline x \mathrm {~cm} & 25 ^ { \circ } & 15 \mathrm {~cm} \
\hline y \mathrm {~m} & 315 ^ { \circ } & 107 \mathrm {~m} \
\hline
\end{array}$

Accepted Answer

A)  x = 13.751; y = 38.925 
B)  x = 34.377; y = 19.462 
C)  x = 34.377; y = 61.143 
D)  x = 108; y = 19.462 
E)  x = 34.377; y = 38.925 
A)  x = 13.751; y = 38.925 
B)  x = 34.377; y = 19.462 
C)  x = 34.377; y = 61.143 
D)  x = 108; y = 19.462 
E)  x = 34.377; y = 38.925

Question 15

A circular metal tank has a radius of 20 in. If a lid made for tank has the same radius, find the area of the lid in square feet. Use the rules for working with measurements.

Accepted Answer

A)  The area is 34.9 ft 2. 
B)  The area is 8.73 ft 2. 
C)  The area is 1,260 ft 2. 
D)  The area is 4.36 ft 2. 
E)  The area is 17.5 ft 2. 
A)  The area is 34.9 ft 2. 
B)  The area is 8.73 ft 2. 
C)  The area is 1,260 ft 2. 
D)  The area is 4.36 ft 2. 
E)  The area is 17.5 ft 2.

Question 16

Follow the rules for working with measurements. Find the volume of the figure.

Accepted Answer

A)  V = 151 in. 3 
B)  V = 158 in. 3 
C)  V = 236 in. 3 
D)  V = 161 in. 3 
E)  V = 153 in. 3 
A)  V = 151 in. 3 
B)  V = 158 in. 3 
C)  V = 236 in. 3 
D)  V = 161 in. 3 
E)  V = 153 in. 3

Question 17

Find the volume of the cylinder.

Accepted Answer

A)  5,650 mm 3 
B)  81,400 mm 3 
C)  22,600 mm 3 
D)  11,300 mm 3 
E)  283,000 mm 3 
A)  5,650 mm 3 
B)  81,400 mm 3 
C)  22,600 mm 3 
D)  11,300 mm 3 
E)  283,000 mm 3

Question 18

In the illustration, $\overline { A B } $ and $\overline { A C }$ are secants; $\overline { C D}$ and $\overline { B F }$ are chords. Suppose ?DCF = $35$ °, ?EFC = $42$ ° , and $\widehat{ C F }$ arc degrees. Find $\widehat { B D }$ in arc degrees.

Accepted Answer

A)  $\widehat { B D }$ = $140$ ° 
B)  $\widehat { B D }$ = $100$ ° 
C)  $\widehat { B D }$ = $70$ ° 
D)  $\widehat { B D }$ = $115$ ° 
E)  $\widehat { B D }$ = $110$ ° 
A)  $\widehat { B D }$ = $140$ ° 
B)  $\widehat { B D }$ = $100$ ° 
C)  $\widehat { B D }$ = $70$ ° 
D)  $\widehat { B D }$ = $115$ ° 
E)  $\widehat { B D }$ = $110$ °

Question 19

Follow the rules for working with measurements. Find the volume of the figure.

Accepted Answer

A)  V = 67,900 cm 3 
B)  V = 92,800 cm 3 
C)  V = 21,700 cm 3 
D)  V = 14,500 cm 3 
E)  V = 138,000 cm 3 
A)  V = 67,900 cm 3 
B)  V = 92,800 cm 3 
C)  V = 21,700 cm 3 
D)  V = 14,500 cm 3 
E)  V = 138,000 cm 3

Question 20

Follow the rules for working with measurements. Find the volume of the figure.

Accepted Answer

A)  V = 66,800 ft 3 
B)  V = 39,500 ft 3 
C)  V = 132,000 ft 3 
D)  V = 79,100 ft 3 
E)  V = 800 ft 3 
A)  V = 66,800 ft 3 
B)  V = 39,500 ft 3 
C)  V = 132,000 ft 3 
D)  V = 79,100 ft 3 
E)  V = 800 ft 3

In the illustration, polygon ABCD is similar to polygon FGHI. Find∠H, FI, IH, BC. Round your answer to the nearest tenth.

Find the length of the diameter of a circular silo with circumference 64 ft. Use the rules for working with measurements.

Find the lateral surface area and the total surface area of the right circular cylinder shown in the illustration.

A small ball bearing has a diameter of $0.615$ in. What is the volume of the bearing?

Find the perimeter and the area of the quadrilateral.

Following the rules for working with measurements, find the lateral surface area of the prism in the illustration A _L, the total surface area of the prism A _T (h = 11.2 in.), and the volume of the prism V.

You are designing a dome house in the shape of a hemisphere with a 35 ft outside diameter. How many square feet of "stucco" should be listed on the bill of materials as needed to cover this home if 15% of it is windows and doors?

Find the area and the perimeter of the triangle shown below. Use the rules for working with measurements.

Find the area and perimeter of the figure in the illustration. Use the rules for working with measurements.

By law, all businesses outside the Parkville city limits must fence their lots. How many feet of fence will be needed to fence the parallelogram-shaped lot shown on the picture below?

What type of angles are $\angle 1 , \angle 4$ ? $What type of angles are \angle 1 , \angle 4 ?$

An experimental aircraft has a plexiglass covering over the cockpit that is hemispherical. If the radius of the hemisphere is 2.00 ft, what is the surface area?

Follow the rules for working with measurements. A cylindrical piece of stock is turned on a lathe from 3.3 in. down to 2.3 in. in diameter. The cut is 3 in. long. What is the volume of the metal removed?

Find x and y to three significant digits using the formula $s = n \Theta$ ( $\Theta$ in radians). Radius, r Angle, Distance, s x 2 15 y 31 107

A circular metal tank has a radius of 20 in. If a lid made for tank has the same radius, find the area of the lid in square feet. Use the rules for working with measurements.

Follow the rules for working with measurements. Find the volume of the figure.

Find the volume of the cylinder.

Follow the rules for working with measurements. Find the volume of the figure.

Follow the rules for working with measurements. Find the volume of the figure.

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 12: Geometry

In the illustration, polygon ABCD is similar to polygon FGHI. Find∠H, FI, IH, BC. Round your answer to the nearest tenth.

Find the length of the diameter of a circular silo with circumference 64 ft. Use the rules for working with measurements.

Find the lateral surface area and the total surface area of the right circular cylinder shown in the illustration.

A small ball bearing has a diameter of 0.6150.6150.615 in. What is the volume of the bearing?

Find the perimeter and the area of the quadrilateral.

Following the rules for working with measurements, find the lateral surface area of the prism in the illustration A L, the total surface area of the prism A T (h = 11.2 in.), and the volume of the prism V.

You are designing a dome house in the shape of a hemisphere with a 35 ft outside diameter. How many square feet of "stucco" should be listed on the bill of materials as needed to cover this home if 15% of it is windows and doors?

Find the area and the perimeter of the triangle shown below. Use the rules for working with measurements.

Find the area and perimeter of the figure in the illustration. Use the rules for working with measurements.

By law, all businesses outside the Parkville city limits must fence their lots. How many feet of fence will be needed to fence the parallelogram-shaped lot shown on the picture below?

What type of angles are ∠1,∠4\angle 1 , \angle 4∠1,∠4 ?

An experimental aircraft has a plexiglass covering over the cockpit that is hemispherical. If the radius of the hemisphere is 2.00 ft, what is the surface area?

Follow the rules for working with measurements. A cylindrical piece of stock is turned on a lathe from 3.3 in. down to 2.3 in. in diameter. The cut is 3 in. long. What is the volume of the metal removed?

Find x and y to three significant digits using the formula s=nΘs = n \Thetas=nΘ ( Θ\ThetaΘ in radians). Radius, r Angle, Distance, s x 2 15 y 31 107

A circular metal tank has a radius of 20 in. If a lid made for tank has the same radius, find the area of the lid in square feet. Use the rules for working with measurements.

Follow the rules for working with measurements. Find the volume of the figure.

Find the volume of the cylinder.

In the illustration, AB‾\overline { A B } AB and AC‾\overline { A C }AC are secants; CD‾\overline { C D}CD and BF‾\overline { B F }BF are chords. Suppose ?DCF = 353535 °, ?EFC = 424242 ° , and CF^\widehat{ C F }CF arc degrees. Find BD^\widehat { B D }BD in arc degrees.

Follow the rules for working with measurements. Find the volume of the figure.

Follow the rules for working with measurements. Find the volume of the figure.

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

A small ball bearing has a diameter of $0.615$ in. What is the volume of the bearing?

Following the rules for working with measurements, find the lateral surface area of the prism in the illustration A _L, the total surface area of the prism A _T (h = 11.2 in.), and the volume of the prism V.

What type of angles are $\angle 1 , \angle 4$ ? $What type of angles are \angle 1 , \angle 4 ?$

Find x and y to three significant digits using the formula $s = n \Theta$ ( $\Theta$ in radians). Radius, r Angle, Distance, s x 2 15 y 31 107