Question 1

Change $\frac { \pi } { 12 }$ rad to degrees.

Accepted Answer

A)  3.75 o 
B)  30 o 
C)  7.5 o 
D)  15 o 
E)  17 o 
A)  3.75 o 
B)  30 o 
C)  7.5 o 
D)  15 o 
E)  17 o

Question 2

A wheel of diameter 29.2 cm turns through an angle of 3.5 rad. Find the distance a point travels on the surface of the wheel. Round your answer to three significant digits.

Accepted Answer

A)  51.1 cm 
B)  8.343 cm 
C)  102.2 cm 
D)  47.1 cm 
E)  11 cm 
A)  51.1 cm 
B)  8.343 cm 
C)  102.2 cm 
D)  47.1 cm 
E)  11 cm

Question 3

Follow the rules for working with measurements. A piece of three-inch (diameter) round stock is tapered so that its tip is a cone. If the taper begins 5 in. from the end of the stock, find the volume of stock that was removed in order to produce the tapered end.

Accepted Answer

A)  V = 94.2 in. 3 
B)  V = 11.8 in. 3 
C)  V = 31.4 in. 3 
D)  V = 47.1 in. 3 
E)  V = 23.6 in. 3 
A)  V = 94.2 in. 3 
B)  V = 11.8 in. 3 
C)  V = 31.4 in. 3 
D)  V = 47.1 in. 3 
E)  V = 23.6 in. 3

Question 4

Find the perimeter and the area of the quadrilateral.   Perimeter = __________ m
Area = __________ $m ^ { 2 }$

Accepted Answer

The answer of Find the perimeter and the area of...

Question 5

Follow the rules for working with measurements. The rectangular lead sleeve shown in the illustration below has a cored hole 5 in. by 3 in. How many cubic inches of lead are in this sleeve?

Accepted Answer

A)  624 in. 3 
B)  240 in. 3 
C)  864 in. 3 
D)  0.62 in. 3 
E)  1104 in. 3 
A)  624 in. 3 
B)  240 in. 3 
C)  864 in. 3 
D)  0.62 in. 3 
E)  1104 in. 3

Question 6

An inclined ramp is to be built so that it reaches a height of 12 ft over a 18 ft run. (See the illustration.) Braces are placed every 6 ft. Find the height of braces x and y.

Accepted Answer

A)  x is equal to 4 ft, y is equal to 8 ft. 
B)  x is equal to 11 ft, y is equal to 22 ft. 
C)  x is equal to 3 ft, y is equal to 22 ft. 
D)  x is equal to 3 ft, y is equal to 6 ft. 
E)  x is equal to 7 ft, y is equal to 14 ft. 
A)  x is equal to 4 ft, y is equal to 8 ft. 
B)  x is equal to 11 ft, y is equal to 22 ft. 
C)  x is equal to 3 ft, y is equal to 22 ft. 
D)  x is equal to 3 ft, y is equal to 6 ft. 
E)  x is equal to 7 ft, y is equal to 14 ft.

Question 7

An older car has a fan belt assembly that is the shape of an isosceles triangle. The two equal sides are 12.0 in. each and the third side is 9.6 in. An older truck has a similar fan belt arrangement but the triangle has width 19.6 in. What is the length of the two congruent sides of this triangle?

Accepted Answer

A)  20.2 in. 
B)  18.6 in. 
C)  17.4 in. 
D)  21.4 in. 
E)  24.5 in. 
A)  20.2 in. 
B)  18.6 in. 
C)  17.4 in. 
D)  21.4 in. 
E)  24.5 in.

Question 8

Find the volume of the cylindrical shaped silo with a hemispherical top shown in the illustration.

Accepted Answer

A)  426,000 ft 3 
B)  495,000 ft 3 
C)  437,000 ft 3 
D)  438,000 ft 3 
E)  444,000 ft 3 
A)  426,000 ft 3 
B)  495,000 ft 3 
C)  437,000 ft 3 
D)  438,000 ft 3 
E)  444,000 ft 3

Question 9

A rectangular runway is 7,600 ft x 76 ft. A similar rectangular runway is 5,200 ft long. What is the width of this runway?

Accepted Answer

A)  52 ft 
B)  520,000 ft 
C)  54 ft 
D)  61 ft 
E)  46 ft 
A)  52 ft 
B)  520,000 ft 
C)  54 ft 
D)  61 ft 
E)  46 ft

Question 10

Follow the rules for working with measurements. The circular tank in the illustration is made of $\frac { 1 } { 2 }$ in. steel weighting 19,4 lb/ft 2. What is the total weight of the top, sides, and bottom of the tank?

Accepted Answer

A)  46,100 lb 
B)  45,800 lb 
C)  46,700 lb 
D)  32,500 lb 
E)  46,200 lb 
A)  46,100 lb 
B)  45,800 lb 
C)  46,700 lb 
D)  32,500 lb 
E)  46,200 lb

Question 11

A rectangular field of corn is averaging 97 bu/acre. The field measures 1,080 yd by 988 yd. How many bushels of corn will there be? Use the appropriate number of significant digits.

Accepted Answer

A)  21,400 bu 
B)  22,400 bu 
C)  21,000 bu 
D)  11,000 bu 
E)  21,750 bu 
A)  21,400 bu 
B)  22,400 bu 
C)  21,000 bu 
D)  11,000 bu 
E)  21,750 bu

Question 12

Follow the rules for working with measurements. A technician draws plans for a $30 \overline { 0 } , 000$ -gallon cylindrical tank with radius 20 ft. What should the height be? (1 ft3 = 7.48 gal)

Accepted Answer

A)  7.98 ft 
B)  63.8 ft 
C)  16 ft 
D)  31.9 ft 
E)  319 ft 
A)  7.98 ft 
B)  63.8 ft 
C)  16 ft 
D)  31.9 ft 
E)  319 ft

Question 13

Use the rules for working with measurements.
The area of a circle is 157 $$\mathrm { ft } ^ { 2 }$$ . Find its radius.
r = __________ ft

Accepted Answer

The answer of Use the rules for working with measurements.
The...

Question 14

The resistor current is 22 A. The total current is 34 A. Find the coil current. (See illustration.) Use the rules for working with measurements.   __________ A

Accepted Answer

The answer of The resistor current is 22 A. The...

Question 15

The rearview mirror of a car measures 3.3 in high and has length 8.5 in. What is the area of the rear view mirror if the shape is a parallelogram?

Accepted Answer

A)  14 in. 2 
B)  29 in. 2 
C)  24 in. 2 
D)  28 in. 2 
E)  30 in. 2 
A)  14 in. 2 
B)  29 in. 2 
C)  24 in. 2 
D)  28 in. 2 
E)  30 in. 2

Question 16

Fill in the blank. Give the answer to three decimal places.
28 o = __________ rad

Accepted Answer

Question 17

Follow the rules for working with measurements. A cylindrical cooling tank has an outside diameter of 5 ft. The walls on all sides are 3 in. thick, and the tank is 11 ft tall. How many gallons of water will this tank hold? (1 ft 3 = 7.48 gal)

Accepted Answer

A)  655 gal. 
B)  1,460 gal. 
C)  1,310 gal. 
D)  2,620 gal. 
E)  327 gal. 
A)  655 gal. 
B)  1,460 gal. 
C)  1,310 gal. 
D)  2,620 gal. 
E)  327 gal.

Question 18

An 8-in.-thick wall uses 15 standard bricks (8 in. by $2 \frac { 1 } { 4 } \mathrm { in }$ by $3 \frac { 3 } { 4 } \mathrm { in }$ ) for one square foot. Find the number of bricks needed for a wall 8 in. thick, 22 ft long, and 7 ft high.

Accepted Answer

A)  18,480 bricks 
B)  1,540 bricks 
C)  2,310 bricks 
D)  1,232 bricks 
E)  2,110 bricks 
A)  18,480 bricks 
B)  1,540 bricks 
C)  2,310 bricks 
D)  1,232 bricks 
E)  2,110 bricks

Question 19

Find the volume of concrete needed to pour a floor 18 cm deep. Round your answer to three significant digits.

Accepted Answer

A)  8.1 m 3 
B)  2,430,000 m 3 
C)  243 m 3 
D)  24,300 m 3 
E)  81 m 3 
A)  8.1 m 3 
B)  2,430,000 m 3 
C)  243 m 3 
D)  24,300 m 3 
E)  81 m 3

Question 20

Find the measure of the missing angle in the triangle shown below.

Accepted Answer

A)  63° 
B)  92° 
C)  41° 
D)  99° 
E)  74° 
A)  63° 
B)  92° 
C)  41° 
D)  99° 
E)  74°

Change $\frac { \pi } { 12 }$ rad to degrees.

A wheel of diameter 29.2 cm turns through an angle of 3.5 rad. Find the distance a point travels on the surface of the wheel. Round your answer to three significant digits.

Follow the rules for working with measurements. A piece of three-inch (diameter) round stock is tapered so that its tip is a cone. If the taper begins 5 in. from the end of the stock, find the volume of stock that was removed in order to produce the tapered end.

Find the perimeter and the area of the quadrilateral. $Find the perimeter and the area of the quadrilateral. Perimeter = m Area = m ^ { 2 }$ Perimeter = m Area = $m ^ { 2 }$

Follow the rules for working with measurements. The rectangular lead sleeve shown in the illustration below has a cored hole 5 in. by 3 in. How many cubic inches of lead are in this sleeve?

An inclined ramp is to be built so that it reaches a height of 12 ft over a 18 ft run. (See the illustration.) Braces are placed every 6 ft. Find the height of braces x and y.

An older car has a fan belt assembly that is the shape of an isosceles triangle. The two equal sides are 12.0 in. each and the third side is 9.6 in. An older truck has a similar fan belt arrangement but the triangle has width 19.6 in. What is the length of the two congruent sides of this triangle?

Find the volume of the cylindrical shaped silo with a hemispherical top shown in the illustration.

A rectangular runway is 7,600 ft x 76 ft. A similar rectangular runway is 5,200 ft long. What is the width of this runway?

A rectangular field of corn is averaging 97 bu/acre. The field measures 1,080 yd by 988 yd. How many bushels of corn will there be? Use the appropriate number of significant digits.

Follow the rules for working with measurements. A technician draws plans for a $30 \overline { 0 } , 000$ -gallon cylindrical tank with radius 20 ft. What should the height be? (1 ft³ = 7.48 gal)

Use the rules for working with measurements. The area of a circle is 157 $\mathrm { ft } ^ { 2 }$ . Find its radius. r = __________ ft

The resistor current is 22 A. The total current is 34 A. Find the coil current. (See illustration.) Use the rules for working with measurements. __________ A

The rearview mirror of a car measures 3.3 in high and has length 8.5 in. What is the area of the rear view mirror if the shape is a parallelogram?

Fill in the blank. Give the answer to three decimal places. 28 ^o = __________ rad

Follow the rules for working with measurements. A cylindrical cooling tank has an outside diameter of 5 ft. The walls on all sides are 3 in. thick, and the tank is 11 ft tall. How many gallons of water will this tank hold? (1 ft ³ = 7.48 gal)

An 8-in.-thick wall uses 15 standard bricks (8 in. by $2 \frac { 1 } { 4 } \mathrm { in }$ by $3 \frac { 3 } { 4 } \mathrm { in }$ ) for one square foot. Find the number of bricks needed for a wall 8 in. thick, 22 ft long, and 7 ft high.

Find the volume of concrete needed to pour a floor 18 cm deep. Round your answer to three significant digits.

Find the measure of the missing angle in the triangle shown below.

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

Change π12\frac { \pi } { 12 }12π​ rad to degrees.

A wheel of diameter 29.2 cm turns through an angle of 3.5 rad. Find the distance a point travels on the surface of the wheel. Round your answer to three significant digits.

Follow the rules for working with measurements. A piece of three-inch (diameter) round stock is tapered so that its tip is a cone. If the taper begins 5 in. from the end of the stock, find the volume of stock that was removed in order to produce the tapered end.

Find the perimeter and the area of the quadrilateral. Perimeter = __________ m Area = __________ m2m ^ { 2 }m2

Follow the rules for working with measurements. The rectangular lead sleeve shown in the illustration below has a cored hole 5 in. by 3 in. How many cubic inches of lead are in this sleeve?

An inclined ramp is to be built so that it reaches a height of 12 ft over a 18 ft run. (See the illustration.) Braces are placed every 6 ft. Find the height of braces x and y.

An older car has a fan belt assembly that is the shape of an isosceles triangle. The two equal sides are 12.0 in. each and the third side is 9.6 in. An older truck has a similar fan belt arrangement but the triangle has width 19.6 in. What is the length of the two congruent sides of this triangle?

Find the volume of the cylindrical shaped silo with a hemispherical top shown in the illustration.

A rectangular runway is 7,600 ft x 76 ft. A similar rectangular runway is 5,200 ft long. What is the width of this runway?

Follow the rules for working with measurements. The circular tank in the illustration is made of 12\frac { 1 } { 2 }21​ in. steel weighting 19,4 lb/ft 2. What is the total weight of the top, sides, and bottom of the tank?

A rectangular field of corn is averaging 97 bu/acre. The field measures 1,080 yd by 988 yd. How many bushels of corn will there be? Use the appropriate number of significant digits.

Follow the rules for working with measurements. A technician draws plans for a 300‾,00030 \overline { 0 } , 000300,000 -gallon cylindrical tank with radius 20 ft. What should the height be? (1 ft3 = 7.48 gal)

Use the rules for working with measurements. The area of a circle is 157 ft2\mathrm { ft } ^ { 2 }ft2 . Find its radius. r = __________ ft

The resistor current is 22 A. The total current is 34 A. Find the coil current. (See illustration.) Use the rules for working with measurements. __________ A

The rearview mirror of a car measures 3.3 in high and has length 8.5 in. What is the area of the rear view mirror if the shape is a parallelogram?

Fill in the blank. Give the answer to three decimal places. 28 o = __________ rad

Follow the rules for working with measurements. A cylindrical cooling tank has an outside diameter of 5 ft. The walls on all sides are 3 in. thick, and the tank is 11 ft tall. How many gallons of water will this tank hold? (1 ft 3 = 7.48 gal)

An 8-in.-thick wall uses 15 standard bricks (8 in. by 214in2 \frac { 1 } { 4 } \mathrm { in }241​in by 334in3 \frac { 3 } { 4 } \mathrm { in }343​in ) for one square foot. Find the number of bricks needed for a wall 8 in. thick, 22 ft long, and 7 ft high.

Find the volume of concrete needed to pour a floor 18 cm deep. Round your answer to three significant digits.

Find the measure of the missing angle in the triangle shown below.

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

Change $\frac { \pi } { 12 }$ rad to degrees.

Find the perimeter and the area of the quadrilateral. $Find the perimeter and the area of the quadrilateral. Perimeter = m Area = m ^ { 2 }$ Perimeter = m Area = $m ^ { 2 }$

Follow the rules for working with measurements. A technician draws plans for a $30 \overline { 0 } , 000$ -gallon cylindrical tank with radius 20 ft. What should the height be? (1 ft³ = 7.48 gal)

Use the rules for working with measurements. The area of a circle is 157 $\mathrm { ft } ^ { 2 }$ . Find its radius. r = __________ ft

Fill in the blank. Give the answer to three decimal places. 28 ^o = __________ rad

Follow the rules for working with measurements. A cylindrical cooling tank has an outside diameter of 5 ft. The walls on all sides are 3 in. thick, and the tank is 11 ft tall. How many gallons of water will this tank hold? (1 ft ³ = 7.48 gal)

An 8-in.-thick wall uses 15 standard bricks (8 in. by $2 \frac { 1 } { 4 } \mathrm { in }$ by $3 \frac { 3 } { 4 } \mathrm { in }$ ) for one square foot. Find the number of bricks needed for a wall 8 in. thick, 22 ft long, and 7 ft high.