Do Your Math Skills Add Up?

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Do Your Math Skills Add Up? - Quiz

So, you may not be a professor of mathematics, but just because you’re not going to be spending the rest of your life solving mind-boggling equations doesn’t mean you shouldn’t have at least the bare minimum of knowledge when it comes to maths! In this quiz, we’ll be seeing if your math skills add up or if you need to put your nose in a book and read up on numbers! Good luck!


Questions and Answers
  • 1. 

    The rate of the flow of the current is equal to the electromotive force divided by resistance.

    • A.

      Pythagorean Theorem

    • B.

      Ohm’s Law

    • C.

      Olin’s Law

    • D.

      Horsepower

    Correct Answer
    B. Ohm’s Law
    Explanation
    Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. In other words, the rate of flow of current (I) is equal to the electromotive force (V) divided by the resistance (R). This relationship is expressed mathematically as I = V/R. Therefore, the given statement correctly describes Ohm's Law, which explains the relationship between current, voltage, and resistance in an electrical circuit.

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  • 2. 

    An appliance is rated at 1,200 watts, and is connected to 120 volts. How much current will it draw?

    • A.

      1A

    • B.

      10A

    • C.

      100A

    • D.

      Cannot be determined from the information given

    Correct Answer
    B. 10A
    Explanation
    The current drawn by an appliance can be calculated using Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V). In this case, the power rating of the appliance is given as 1,200 watts and the voltage is 120 volts. By dividing 1,200 watts by 120 volts, we can calculate that the current drawn by the appliance is 10 amperes (A). Therefore, the correct answer is 10A.

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  • 3. 

    The total voltage in a series circuit is equal to the sum of the voltages across all parts of the circuit

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    In a series circuit, the components are connected one after another, creating a single path for the current to flow. Since the current is the same throughout a series circuit, the voltage across each component adds up. This is because the total voltage supplied by the battery is divided among all the components in the circuit. Therefore, the statement that the total voltage in a series circuit is equal to the sum of the voltages across all parts of the circuit is true.

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  • 4. 

    The total resistance of a series circuit can never be greater that the largest resistance of a single point on a circuit.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The total resistance of a series circuit is equal to the sum of the resistances of all the parts of the circuit

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  • 5. 

    The Ohm’s Law pie chart contains four quadrants. They represent

    • A.

      Volts, amps, Ohms, horsepower

    • B.

      Volts, amps, Ohms, impedance

    • C.

      Watts, amps, Ohms, inductance

    • D.

      Volts, amps, Ohms, watts

    Correct Answer
    D. Volts, amps, Ohms, watts
    Explanation
    The Ohm's Law pie chart contains four quadrants that represent volts, amps, Ohms, and watts. This is because Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to the resistance of the conductor. Therefore, volts represent the voltage, amps represent the current, Ohms represent the resistance, and watts represent the power.

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  • 6. 

    In a parallel circuit, the total resistance is _________________  the resistance of any branch

    • A.

      Always greater than

    • B.

      Always equal to

    • C.

      Always less than

    • D.

      Never less than

    Correct Answer
    C. Always less than
    Explanation
    In a parallel circuit, the total resistance is always less than the resistance of any branch. This is because in a parallel circuit, the current has multiple paths to flow through. As a result, the total resistance decreases as the number of branches increases. This can be explained using Ohm's Law, which states that resistance is inversely proportional to current. Therefore, with more branches, the current is divided among them, resulting in a lower total resistance.

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  • 7. 

    A resistor has a color code of yellow, violet, red, and gold. What is the value of the resistor, including the tolerance?

    • A.

      4,700 Ohms, +/- 5%

    • B.

      4.7 Ohms, +/- 10%

    • C.

      2,400 Ohms, +/- 5%

    • D.

      24 Ohms, +/- 10%

    • E.

      3,300 Ohms, +/- 5%

    Correct Answer
    A. 4,700 Ohms, +/- 5%
    Explanation
    First digit 4 (yellow), second digit 7 (violet), followed by 2 (red) zeros: 4,700 Ohms. Gold signifies that the tolerance is ±5%, so the real resistance could lie anywhere between 4,465 and 4,935 Ohms.

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  • 8. 

    Three resistors in parallel. Each has a value of 12 Ohms resistance. What is the total resistance of the circuit?

    • A.

      36 Ohms

    • B.

      4 Ohms

    • C.

      40 Ohms

    • D.

      3.6 Ohms

    Correct Answer
    B. 4 Ohms
    Explanation
    According to the formula RT= R/N, if we divide the resistance of any one of the resistors by the number of resistors (3), we will find the total resistance of the circuit.

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  • 9. 

    A 12v circuit draws a current of 5 amperes. What is the power consumption (watts)? 

    • A.

      2.4 watts

    • B.

      60 watts

    • C.

      .416 watts

    • D.

      None of the above

    Correct Answer
    B. 60 watts
    Explanation
    P = E x I, Power (watts) = Volts x Amperes

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  • 10. 

    A 4 in. x 1 ¼ in. round or octagonal box has a capacity of 12.5 cubic inches. How many number 18 gauge red fire alarm wires can the box hold?

    • A.

      4

    • B.

      8

    • C.

      16

    • D.

      12

    Correct Answer
    B. 8
    Explanation
    National Electrical Code Tables

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  • 11. 

    A half-inch, trade-size EMT conduit has a maximum fill capacity of ________ % with _________ wire(s).

    • A.

      31%, 4; 40%, 2; and 53%, 1

    • B.

      31%, 2; 40%, 3; and 53%, 1

    • C.

      40%, 3 or more; 50%, 2; and 60%, 1

    • D.

      53%, 1; 40%, more than 2; and 31%, 2

    Correct Answer
    D. 53%, 1; 40%, more than 2; and 31%, 2
    Explanation
    NEC, Table 1, Chapter 9

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  • 12. 

    A2 + B2 = C2 is also referred to as:

    • A.

      Pylorus’ Theorem.

    • B.

      Pythagorean Theorem.

    • C.

      An isosceles triangle.

    • D.

      A rhombus.

    Correct Answer
    B. Pythagorean Theorem.
    Explanation
    The equation A2 + B2 = C2 is known as the Pythagorean Theorem. It states that in a right-angled triangle, the square of the length of the hypotenuse (C) is equal to the sum of the squares of the other two sides (A and B). This theorem is fundamental in geometry and is used to calculate unknown side lengths or determine if a triangle is a right-angled triangle. The other options, Pylorus’ Theorem, an isosceles triangle, and a rhombus, are unrelated to this equation and do not represent the concept described.

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  • 13. 

    When installing a conduit with control circuits that extend beyond the walls of a residence (for example to an intercom at a gate, or to a camera on a pole in the back yard), the proper depth for burial of cables is

    • A.

      6 in

    • B.

      18 in

    • C.

      24 in

    • D.

      3 ft

    Correct Answer
    B. 18 in
    Explanation
    NEC, Table 300.5

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  • 14. 

    The circumference of a circle can be calculated using the following formula:

    • A.

      3.1416 x 2 x radius

    • B.

      3.1416 x radius2

    • C.

      Radius x square root of 3.1416

    • D.

      A2 + B2 = C2

    Correct Answer
    A. 3.1416 x 2 x radius
    Explanation
    The correct answer is 3.1416 x 2 x radius because the formula for calculating the circumference of a circle is 2πr, where π is approximately equal to 3.1416 and r is the radius of the circle. Multiplying 2 by π and then by the radius gives us the circumference of the circle.

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  • 15. 

    The total resistance of a number of equal resistors in parallel is __________ the resistance of one resistor divided by the number of resistors.

    • A.

      Less than

    • B.

      Greater than

    • C.

      Equal to

    • D.

      The sum of

    Correct Answer
    C. Equal to
    Explanation
    When resistors are connected in parallel, the total resistance is equal to the resistance of one resistor divided by the number of resistors. This is because in a parallel circuit, the voltage across each resistor is the same, so the current through each resistor is inversely proportional to its resistance. Therefore, the total resistance decreases as more resistors are added in parallel, resulting in a value equal to the resistance of one resistor divided by the number of resistors.

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