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Sample Practice Test Questions

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.

Automotive Information

For inline cylinder arrangements in an engine, how are the cylinders numbered?

sequentially from the front of the engine to the back

Inline cylinder arrangements number cylinders sequentially (1, 2, 3, ...) front to rear.

Word Knowledge
Her excellent lecture illuminated the complicated subject of nuclear physics.
elucidate
To make clear.
Word Knowledge
Helen will only accept something of comparable value for her ticket to the concert.
akin
Similar, equivalent.
Shop Information

Which of the following statements about drill bits is not true?

drill bits are primarily left-handed

Drill bits remove material to create holes. They come in a variety of sizes, maxing out at ¼" for woodworking and ½" for metalworking. The majority of drill bits are right-handed which means they cut while rotating in a clockwise direction.

Shop Information

Which of the following is not a type of nut?

cotter

Wrenches are used with threaded fasteners like bolts and nuts. A bolt has external threads while a nut has internal threads and this thread pattern combination allows them to lock together and act as fasteners. Nuts come in a variety of configurations including wing nuts which provide appendages that allow tightening and loosening by hand, slotted nuts that use a cotter pin to lock the nut in place and prevent it from loosening, and lock nuts that also prevent loosening via nylon in their threads. Threads are identified by pitch which is the number of threads per inch.

Mechanical Comprehension

Potential energy is energy that has the potential to be converted into what?

 kinetic energy

Potential energy is the energy of an object by virtue of its position relative to other objects. It is energy that has the potential to be converted into kinetic energy.

Mechanical Comprehension
0.88 If the green box is 8 ft. from the fulcrum and a certain force applied 7 ft. from the fulcrum at the blue arrow balances the lever, what is the mechanical advantage?
0.88

Because this lever is in equilibrium, we know that the effort force at the blue arrow is equal to the resistance weight of the green box. For a lever that's in equilibrium, one method of calculating mechanical advantage (MA) is to divide the length of the effort arm (Ea) by the length of the resistance arm (Ra):

MA = \( \frac{E_a}{R_a} \) = \( \frac{7 ft.}{8 ft.} \) = 0.88

When a lever is in equilibrium, the torque from the effort and the resistance are equal. The equation for equilibrium is Rada = Rbdb where a and b are the two points at which effort/resistance is being applied to the lever.

In this problem, Ra and Rb are such that the lever is in equilibrium meaning that some multiple of the weight of the green box is being applied at the blue arrow. For a lever, this multiple is a function of the ratio of the distances of the box and the arrow from the fulcrum. That's why, for a lever in equilibrium, only the distances from the fulcrum are necessary to calculate mechanical advantage.

If the lever were not in equilibrium, you would first have to calculate the forces and distances necessary to put it in equilibrium and then divide Ea by Ra to get the mechanical advantage.

Arithmetic Reasoning

Simplify \( \sqrt{8} \)

2\( \sqrt{2} \)

To simplify a radical, factor out the perfect squares:

\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)

General Science

Which of the following describes the Earth's outer core?

liquid

The Earth's core is divided into the liquid outer core (1,430 miles or 2,300 km radius) and the solid inner core (745 miles or 1,200 km radius).