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Sample Practice Test Questions

Arithmetic Reasoning

What is (z5)4?

z20

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z5)4
z(5 * 4)
z20

General Science

__________ is caused by a lack of iron in the diet.

anemia

Anemia, which may cause weakness, dizziness, and headaches is caused by a lack of iron in the diet.

Mechanical Comprehension

Boyle's law defines the relationship between pressure and volume as:

\(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional". Expressed as a formula, that's \(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

General Science

The number system most used in science is the:

metric system

The metric system is a number system that designates one base unit for each type of measurement.  For example, the base unit for length is the meter and the base unit for mass is the gram.

Automotive Information

An overcooled engine:

is less efficient

An overcooled engine is less efficient. During the power stroke, combustion heat pushes down the piston. If too much of this heat is lost to the cooling system, the fuel might not combust completely and contaminate the engine's lubricating oil diminishing its lubricating ability. Incomplete combustion of fuel also negatively affects the engine's fuel efficiency and power output.

Arithmetic Reasoning

Simplify \( \frac{24}{56} \).

\( \frac{3}{7} \)

To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{24}{56} \) = \( \frac{\frac{24}{8}}{\frac{56}{8}} \) = \( \frac{3}{7} \)

Math Knowledge
4\( \sqrt{2} \)

If the area of this square is 16, what is the length of one of the diagonals?

4\( \sqrt{2} \)

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{16} \) = 4

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 42 + 42
c2 = 32
c = \( \sqrt{32} \) = \( \sqrt{16 x 2} \) = \( \sqrt{16} \) \( \sqrt{2} \)
c = 4\( \sqrt{2} \)

General Science

Water freezing or boiling is an example of which of the following?

phase transition

A substance undergoes a phase transition when it moves from one state of matter to another, for example, when water freezes or boils.

Shop Information

Which of the following saws would you use if you're cutting wood across the grain?

crosscut saw

Wood saws are categorized by their teeth shape and the number of teeth per inch (TPI). The higher the TPI of a saw the finer the cut it will make. Crosscut saws utilize knife-shaped teeth that cut across the grain of the wood while rip saws cut with the grain using chisel-shaped teeth that rip the wood cells apart as the cut is made. The kerf (slot) made by by a crosscut saw is much smoother than that made by a rip saw but a rip saw cuts much faster. Coping saws are a type of bow saw used to make detailed often curving cuts using replaceable blades with fine small teeth.

Electronics Information

In electrical wiring, which of the following are proportional?

the diameter of the wire and the amount of the current

Current flow through a wire increases the temperature of the wire. If too small a wire is used, the wire will heat up causing a loss in conductivity and possibly a fire. The thicker in diameter a wire is, the more current it can carry without overheating.