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Sample Practice Test Questions

Arithmetic Reasoning

If a rectangle is twice as long as it is wide and has a perimeter of 12 meters, what is the area of the rectangle?

8 m2

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 12 meters so the equation becomes: 2w + 2h = 12.

Putting these two equations together and solving for width (w):

2w + 2h = 12
w + h = \( \frac{12}{2} \)
w + h = 6
w = 6 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 6 - 2w
3w = 6
w = \( \frac{6}{3} \)
w = 2

Since h = 2w that makes h = (2 x 2) = 4 and the area = h x w = 2 x 4 = 8 m2

Mechanical Comprehension

Which of the following surfaces would have the lowest coefficient of friction?

ice

Coefficient of friction (μ) represents how much two materials resist sliding across each other.  Smooth surfaces like ice have low coefficients of friction while rough surfaces like concrete have high μ.

Electronics Information
resistor

This circuit component symbol represents a(n):

resistor

Resistors are used to limit voltage and/or current in a circuit and can have a fixed or variable resistance.  Variable resistors (often called potentiometers or rheostats) are used when dynamic control over the voltage/current in a circuit is needed, for example, in a light dimmer or volume control.

Arithmetic Reasoning

Jennifer scored 73% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

22

Jennifer scored 73% on the test meaning she earned 73% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.73 = 88 points. Each question is worth 4 points so she got \( \frac{88}{4} \) = 22 questions right.

General Science

Cirrus clouds generally occur in what kind of weather?

fair

Cirrus clouds are thin, wispy high-altitude clouds composed of ice crystals that originate from the freezing of supercooled water droplets. Cirrus clouds generally occur in fair weather and point in the direction of air movement at their elevation.

Arithmetic Reasoning

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

commutative

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

General Science

A dominant trait will be expressed when paired with:

a recessive trait

The traits represented by genes are inherited independently of each other  (one from the male and one from the female gamete) and a trait can be dominant or recessive.  A dominant trait will be expressed when paired with a recessive trait while two copies of a recessive trait (one from each parent) must be present for the recessive trait to be expressed.

Math Knowledge

Find the value of c:
5c + x = -1
-2c - 3x = -3

-\(\frac{6}{13}\)

You need to find the value of c so solve the first equation in terms of x:

5c + x = -1
x = -1 - 5c

then substitute the result (-1 - 5c) into the second equation:

-2c - 3(-1 - 5c) = -3
-2c + (-3 x -1) + (-3 x -5c) = -3
-2c + 3 + 15c = -3
-2c + 15c = -3 - 3
13c = -6
c = \( \frac{-6}{13} \)
c = -\(\frac{6}{13}\)

Word Knowledge
Solace most nearly means:
comfort
Source of consolation.
General Science

The Earth's rocks fall into three categories based on how they're formed. Which of the following is formed by the gradual depositing of small rocks?

sedimentary

The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.