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Sample Practice Test Questions

General Science

An element in the physical state of __________ maintains a constant volume and shape.

solid

An element in a solid state has atoms or molecules that are constricted and do not move freely. Solids maintain a constant volume and shape and exist at a lower temperature than liquids or gases.

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
Proximity most nearly means:
nearness
Closeness.
General Science

Which of these is not a component of blood?

marrow

Blood is created in bone marrow and is made up of cells suspended in liquid plasma. Red blood cells carry oxygen, white blood cells fight infection, and platelets are cell fragments that allow blood to clot.

Math Knowledge

Solve for y:
2y + 2 < 8 - 8y

y < \(\frac{3}{5}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

2y + 2 < 8 - 8y
2y < 8 - 8y - 2
2y + 8y < 8 - 2
10y < 6
y < \( \frac{6}{10} \)
y < \(\frac{3}{5}\)

Math Knowledge

What is 9a - 7a?

2a

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a - 7a = 2a

Automotive Information

Which of the following is not an advantage that disc brakes have over drum brakes?

use less brake fluid

Brakes utlize friction to slow vehicle tires. Drum brakes employ a cast iron drum that roates with the vehicle axle. When hydraulic pressure is applied to the brake assemblies at the wheels, internal pistons expand and push brake shoes outward into contact with the brake drum slowing the rotation of the axle. More powerful disc brakes operate by pinching a rotating disc betweeen two brake pads and allow for a larger surface area to contact the disc, provide more force, and are more easily cooled.

General Science

Velocity is the rate at which an object changes position. What is the formula for velocity? 

\(\vec{v} = { \vec{d} \over t } \)

Velocity is the rate at which an object changes position. Rate is measured in time and position is measured in displacement so the formula for velocity becomes  \(\vec{v} = { \vec{d} \over t } \) 

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{28} \) + \( 7 \)\( \sqrt{7} \)

17\( \sqrt{7} \)

To add these radicals together their radicands must be the same:

5\( \sqrt{28} \) + 7\( \sqrt{7} \)
5\( \sqrt{4 \times 7} \) + 7\( \sqrt{7} \)
5\( \sqrt{2^2 \times 7} \) + 7\( \sqrt{7} \)
(5)(2)\( \sqrt{7} \) + 7\( \sqrt{7} \)
10\( \sqrt{7} \) + 7\( \sqrt{7} \)

Now that the radicands are identical, you can add them together:

10\( \sqrt{7} \) + 7\( \sqrt{7} \)
(10 + 7)\( \sqrt{7} \)
17\( \sqrt{7} \)

Electronics Information

What is the frequency of most household electrical systems?

60Hz

Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances. Most households use electricity with a frequency of 60Hz.