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Sample Practice Test Questions

Arithmetic Reasoning

How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?

13 vans

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.

Word Knowledge
Even though I forgot his birthday, I hoe my father accepts my belated card.
tardy
Past the normal or proper time.
General Science

Which of the following would be used in eye glasses to correct farsightedness?

convex lens

Unlike curved mirrors that operate on the principle of reflection, lenses utilize refraction. A convex lens is thicker in the middle than on the edges and converges light while a concave lens is thicker on the edges than in the middle and diffuses light. A common use for curved lenses is in eye glasses where a convex lens is used to correct farsightedness and a concave lens is used to correct nearsightedness.

Word Knowledge
Implement most nearly means:
execute
To carry out or accomplish.
Mechanical Comprehension

The measure of how much of the power put into a machine is turned into movement or force is called:

efficiency

The efficiency of a machine describes how much of the power put into the machine is turned into movement or force. A 100% efficient machine would turn all of the input power into output movement or force. However, no machine is 100% efficient due to friction, heat, wear and other imperfections that consume input power without delivering any output.

Arithmetic Reasoning

A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?

\(\frac{5}{8}\) cups

The amount of flour you need is (2\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{18}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups

Shop Information

Which of the following would provide the most accurate measure of the diameter of a solid cylinder?

outside micrometer

Micrometers provide accuracy to the thousandths of an inch and come in outside and inside varieties. An outside micrometer is used to measure outside thickness, such as the diameter of a bolt, while an inside micrometer is used to measure the inside dimension of an object, such as the diameter of the hole of a nut or the width of a channel.

Math Knowledge

Factor y2 - 4y - 32

(y - 8)(y + 4)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -32 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -8 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 32
y2 + (-8 + 4)y + (-8 x 4)
(y - 8)(y + 4)

Automotive Information

The wheel __________ is the mounting point for the wheel and tire assembly.

hub

The wheel hub is the mounting point for the wheel and tire assembly. The wheel hub can rotate while being held stable by the steering knuckle which applies the motion of the control arms to the wheels.

Mechanical Comprehension

The principle of conservation of mechanical energy states that, as long as no other forces are applied, what will remain constant as an object falls?

total mechanical energy

As an object falls, its potential energy is converted into kinetic energy. The principle of conservation of mechanical energy states that, as long as no other forces are applied, total mechanical energy (PE + KE) of the object will remain constant at all points in its descent.