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Sample Practice Test Questions

Math Knowledge
9π

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?

9π

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 9)
v = 9π

General Science

As part of the carbon cycle, plants release carbon into the atmosphere through which process?

decomposition

The carbon cycle represents the ciruit of carbon through Earth's ecosystem. Carbon dioxide (CO2) in the atmosphere is absorbed by plants through photosynthesis. Plants then die and release carbon back into the atmosphere during decomposition or are eaten by animals who breathe (respiration) the carbon into the atmosphere they exhale and produce waste which also releases carbon as it decays.

General Science

Which of the following is the formula for power?

\(P = {w \over t}\)

Power is the rate at which work is performed or work per unit time:  \(P = {w \over t}\)  and is measured in watts (W).

Mechanical Comprehension

A a seesaw / teeter-totter is an example of which of the following?

first-class lever

A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.

Arithmetic Reasoning

What is \( \sqrt{\frac{16}{4}} \)?

2

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{16}{4}} \)
\( \frac{\sqrt{16}}{\sqrt{4}} \)
\( \frac{\sqrt{4^2}}{\sqrt{2^2}} \)
\( \frac{4}{2} \)
2

Word Knowledge
Aerate most nearly means:
oxygenate
To supply with air.
Math Knowledge

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

supplementary, vertical

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

General Science

In cell biology, what part of the cell contains organelles?

cytoplasm

The nucleus of a eukaryotic cell contains the genetic material of the cell and is surrounded by cytoplasm which contains many organelles.

Word Knowledge
Her excellent lecture illuminated the complicated subject of nuclear physics.
elucidate
To make clear.
Mechanical Comprehension

Which of the following represents the force a surface exerts when an object presses against it?

normal force

Normal force (FN) represents the force a surface exerts when an object presses against it.