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Sample Practice Test Questions

Math Knowledge

What is 7a3 + 7a3?

14a3

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a3 + 7a3 = 14a3

Electronics Information
6 A Use Ohm's Law to calculate the value of current in this circuit if voltage is 240 volts and resistance is 40 Ω.
6 A

Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.

Solved for current, I = \( \frac{V}{R} \) = \( \frac{240}{40} \) = 6 A

General Science

Which of the following would be used in eye glasses to correct farsightedness?

convex lens

Unlike curved mirrors that operate on the principle of reflection, lenses utilize refraction. A convex lens is thicker in the middle than on the edges and converges light while a concave lens is thicker on the edges than in the middle and diffuses light. A common use for curved lenses is in eye glasses where a convex lens is used to correct farsightedness and a concave lens is used to correct nearsightedness.

Word Knowledge
Defiant most nearly means:
impudent
Showing bold resistance.
Automotive Information

Which engine stroke starts with the piston at top dead center?

intake stroke

The four-stroke piston cycle of internal combustion engines starts with the piston at top of the cylinder head (top dead center or TDC) during the intake stroke. The piston moves downward in the cylinder creating a vacuum that pulls an air-fuel mix into the combustion chamber through the now open intake valve.

Word Knowledge
Avian most nearly means:
bird–like
Relating to birds.
Arithmetic Reasoning

What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?

168

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)

Now we need to simplify the radical:

42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168

Mechanical Comprehension
0.3 If this lever is in equilibrium with an effort force of 10.0 ft. lb. at the blue arrow and a resistance force of 3 ft. lb. at the green box, what is its mechanical advantage?
0.3

Mechanical advantage (MA) is the ratio by which effort force relates to resistance force. If both forces are known, calculating MA is simply a matter of dividing resistance force by effort force:

MA = \( \frac{F_r}{F_e} \) = \( \frac{3 ft.}{10.0 ft.} \) = 0.3

In this case, the mechanical advantage is less than one meaning that each unit of effort force results in just 0.3 units of resistance force. However, a third class lever like this isn't designed to multiply force like a first class lever. A third class lever is designed to multiply distance and speed at the resistance by sacrificing force at the resistance. Different lever styles have different purposes and multiply forces in different ways.

Electronics Information
20 Ω Use Ohm's Law to calculate the value of resistance in this circuit if voltage is 40 volts and current is 2 amps.
20 Ω

Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.

Solved for resistance, R = \( \frac{V}{I} \) = \( \frac{40}{2} \) = 20 Ω

General Science

A compound is a substance containing two or more different chemical elements bound together by what kind of bond?

chemical

A compound is a substance containing two or more different chemical elements bound together by a chemical bond. In covalent compounds, electrons are shared between atoms. In ionic compounds, one atom borrows an electron from another atom resulting in two ions (electrically charged atoms) of opposite polarities that then become bonded electrostatically.