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Sample Practice Test Questions

Math Knowledge

The formula for the area of a circle is which of the following?

c = π d

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

Mechanical Comprehension

A ramp is an example of which kind of simple machine?

inclined plane

An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.

Electronics Information

Inductance is a factor in which of the following?

an AC circuit

Inductance is a property of an AC circuit (or a component in an AC circuit) that quantifies resistance to changes in current. The current in an AC circuit is continuously changing and inductive reactance (the opposition to change) depends both on the inductance of the circuit or component and the rate at which the current is changing.

Word Knowledge
After shouting to his players through the long game, the coach's voice was raspy.
harsh
rough, grating.
Word Knowledge
The longer Jorge waited in line at the ticket counter, the more his exasperation grew.
irritation
The state of being irritated.
Mechanical Comprehension

The mechanical advantage of a wheel and axle is equal to the:

ratio of the diameters of the wheels

A wheel and axle uses two different diameter wheels mounted to a connecting axle. Force is applied to the larger wheel and large movements of this wheel result in small movements in the smaller wheel. Because a larger movement distance is being translated to a smaller distance, force is increased with a mechanical advantage equal to the ratio of the diameters of the wheels. An example of a wheel and axle is the steering wheel of a car.

Word Knowledge
The teacher suggested the combative student channel his aggression into boxing.
aggressive
Eager to fight.
General Science

Acceleration is the rate of change of velocity per unit of time. Which of these is the formula for acceleration?

\(\vec{a} = { \Delta \vec{v} \over t }\)

Acceleration is the rate of change of velocity per unit of time. In physics, the delta symbol (\(\Delta\)) represents change so the formula for acceleration becomes  \(\vec{a} = { \Delta \vec{v} \over t }\)

General Science

Which of the following describes the Earth's mantle?

primarily solid

Mantle makes up 84% of the Earth's volume and has an average thickness of approximately 1,800 miles (2,900 km). It is dense, hot, and primarily solid although in places it behaves more like a viscous fluid as the plates of the upper mantle and crust gradually "float" along its circumference.

Mechanical Comprehension
270 ft⋅lb If A = 9 ft. and the green box weighs 30 lbs. what is the torque acting on the A side of this lever?
270 ft⋅lb
For a lever, torque is weight x distance from the fulcrum which, in this case, is: 30 ft. x 9 lbs. = 270 ft⋅lb