MFE Math for Electricians

Numbers are positive if their value is greater than zero.

True

False

True

4 × 10⁷ = ____.

40,000,000

400⁷

280,000,000

280

40,000,000

The exponent in the equation 7⁶ ÷ (10 − 3) = 16,807 is 6.

True

False

True

845 rounded to the nearest ten is ____.

800

840

900

850

850

The E in PEDMAS stands for equals.

True

False

False

In the equation 15 × 10 = 150, the number 10 is the divisor.

True

False

False

If 48 GFCI outlets were delivered to a job site, and at the end of the project, 16 were returned, how many GFCI outlets were used?

16

76

32

50

32

267 + 365 = ____.

533

632

532

522

632

In division, the divisor is divided by the dividend.

True

False

False

Which of these is an example of a square?

5²

3.6

1/4

9³

5²

Which formula is used to find the lowest common denominator of two fractions?

Common denominator / Greatest common factor

Common denominator × Greatest common factor

Greatest common factor + Common denominator

Greatest common factor / Common denominator

Common denominator / Greatest common factor

When multiplying fractions, the numerators and denominators are multiplied separately.

True

False

True

8 × (1/2) = ____.

8 1/2

32

4

16

4

6 ÷ (2/3) = 9

True

False

True

The line dividing the numerator and the denominator denotes ____.

subtraction

division

addition

multiplication

division

When comparing two fractions, if the common denominator is 50 and the greatest common factor is 5, then the lowest common denominator is 10.

True

False

True

4 2/3 = ____.

8/3

6/3

12/2

14/3

14/3

(1/3) + (2/5) = ____.

11/15

3/8

1

2/15

11/15

In order to add two fractions, the numerators must be the same.

True

False

False

The number 21 is a prime number.

True

False

False

2.82 × 1.6 = 0.4512

True

False

False

For digits to the right of a decimal point, the farther right, the greater the value of the digit.

True

False

False

It is common in the electrical industry to use decimals rather than fractions for calculations.

True

False

True

What is the fractional equivalent of 0.8 in the lowest terms?

8/10

4/5

10/80

1/8

4/5

What is the decimal equivalent of 5/8?

0.625

0.400

1.300

0.580

0.625

Simplify: 6.82 + 12.45

18.27

18.43

80.65

19.27

19.27

When subtracting decimals, extra zeros can be added to the right to avoid misalignment of the decimal point.

True

False

True

2.5 × 2.5 = ____.

0.0625

0.6250

6.2500

5.0000

6.2500

In the electrical industry, it is normal to round to the ____.

fourth or fifth decimal place

first decimal place

whole number

second or third decimal place

second or third decimal place

Simplify: 18.7634 − 9.432

9.3314

28.1954

8.7660

9.7202

9.3314

MFE Chapters 1-3

DONE

If a transformer has a 5:1 turns ratio with a primary current of 10 amperes, what is the secondary current?

0.5 ampere

15 amperes

50 amperes

2 amperes

50 amperes

3:2 is best described as a ____.

proportion

ratio

percentage

fraction

ratio

Means and extremes can be seen in proportions expressed as ratios or fractions.

True

False

True

When converting a percentage greater than 100% to a decimal, it will always be a number that is ____.

less than 1

greater than 1

even

odd

greater than 1

If a transformer has a 5:1 turns ratio with an applied voltage of 120 volts, a secondary voltage of 24 volts, and a primary current of 3 amperes, the secondary current is 15 amperes.

True

False

True

The NEC requires that conductors and overcurrent devices that feed a continuous load have an ampacity of not less than ____ of the continuous load.

125%

50%

100%

75%

125%

When mixing a solution of chemical and water, if the ratio of water to chemical is 15:2, the solution is considered to be made up of 15 parts.

True

False

False

In the equation {E_P/E_S} = {N_P/N_S}, E_S stands for secondary current.

True

False

False

The fractions 8/12 and 2/6 have the same numerator to denominator ratio.

True

False

False

Percentages can be expressed as greater than the whole.

True

False

True

MFE Chapter 4

DONE

Prefixes used in SI measurement differ by the type of measurement being used.

True

False

False

Weight depends on the force of gravity on a mass.

True

False

True

4′-8″ + 3′-6″ = ____

8′-2″

7′-4″

7′-2″

8′-4″

8′-2″

112″ = ____.

Provide your answer in feet and inches.

10′-4″

9′-4″

10′-2″

9′-3″

9′-4″

When the temperature of 1 lb of pure water is raised by 1°F, the quantity of heat moved equals 1 ____.

micron

Btu

calorie

joule

Btu

Capacity refers to the amount of material the container can hold.

True

False

True

SI capacity is based on the fluid ounce.

True

False

False

92 in. Hg = ____psi.

2,752.64 psi

1,352.40 psi

45.19 psi

187.31 psi

45.19 psi

Pressure exerted can be measured in pounds or newtons.

True

False

True

A 10-liter container would be sufficient to hold 3 gallons of water.

True

False

False

120 Pa = 120 N/m²

True

False

True

Heat is a measurement of the energy content of a material.

True

120 fpm = ____m/min.

36.58 m/min

3.40 m/min

393.70 m/min

273.72 m/min

36.58 m/min

Linear measurement is used when measuring the depth of an object.

True

False

True

167°F = 75°C

True

False

True

MFE Chapter 5

DONE

The Watt’s law power formula is P = I × E. If a circuit’s current is 12 amperes and its applied voltage is 110 volts, the wattage is ____.

1,320 watts

9.17 watts

0.11 watts

330 watts

1,320 watts

15(4 + 17) = ([15 × 4] + [15 × 17])

True

False

True

When solving an equation that includes multiple operations, exponents should be completed first.

True

False

False

Which part of the equation X = 18 × 12 + 40 ÷ 2 − 9 should be completed first?

40 ÷ 2

18 × 12

12 + 40

2 − 9

18 × 12

If the total resistance in a series circuit is 20 ohms, and the first and second resistors each have a resistance of 8 ohms, then the resistance of the third resistor is also 8 ohms.

True

False

False

If you use an operation to move a value from one side of an equation to the other, you must perform the same operation on both sides of the equation.

True

False

True

To convert I = E/R to E = I × R, you must divide both sides by R.

True

False

False

In an equation with all multiplication, changing the order of operations will change the answer.

True

False

False

Parentheses are used in formulas and equations to identify the ____.

variable

calculation to perform first

final answer

calculation to perform last

calculation to perform first

Using Ohm’s law, the power formula can be rewritten as P = I² × R. If the power is 80 watts and the resistance is 5 ohms, what is the current?

256 amperes

20 amperes

4 amperes

16 amperes

4 amperes

Which of these is an example of a solid?

Cube

Parallelogram

Circle

Triangle

Cube

What is the area of a square with a side of 60″?

240″

3,600 in²

360″

1,800 in²

3,600 in²

A triangle with no equal sides and no equal angles is called a scalene triangle.

True

False

True

A(n) ____ triangle is a triangle with one angle that is more than 90°.

obtuse

isosceles

acute

right

obtuse

If two lines form a 90° angle, then they are parallel to each other.

True

False

False

A circle is an example of a polygon.

True

False

False

What is the perimeter of a rectangle with sides measuring 15′ and 10′?

25′

150′

75′

50′

50′

A chord can be longer than the diameter of a circle.

True

False

False

What is the area of the triangle with a height of 14.5′ and a base of 12′?

174 ft²

87 ft²

159 ft²

79.5 ft²

87 ft²

What is the area of a parallelogram with a length of 3′-1/2″ and height of 2′-3/4″?

903.38 in²

115.50 in²

121.68 in²

888.41 in²

903.38 in²

What is the impedance of this circuit?

8.37 Ω

45.77 Ω

25.00 Ω

51.48 Ω

51.48 Ω

In this diagram, angle B measures 30°.

True

False

False

What is the sine of angle θ in this triangle?

1.67

2.50

0.40

0.60

0.60

Any multiples of 4-5-6 can be used to prove that a corner is a right angle.

True

False

 

False

An offset is a common bend made in a conduit.

True

False

 

True

If the sine of an angle is 0.75, it measures approximately ____.

41.41°

48.59°

36.87°

0.01°

 

48.59

When using a right triangle to determine the impedance of a circuit, the hypotenuse represents the inductive or capacitive reactance.

True

False

 

False

The cosine of angle θ in this triangle is ____.

1.29

0.56

0.78

0.71

 

0.78

What is the approximate size of an angle that has a cosine of 0.54?

57.32°

1.00°

28.36°

32.67°

 

57.32

The hypotenuse in this triangle is approximately ____ long.

21″

5″

11″

18″

18″

MFE Chapters 6-8 DONE