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Sample Practice Test Questions

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{20} \) - \( 2 \)\( \sqrt{5} \)

8\( \sqrt{5} \)

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

5\( \sqrt{20} \) - 2\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 2\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 2\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 2\( \sqrt{5} \)
10\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 2\( \sqrt{5} \)
(10 - 2)\( \sqrt{5} \)
8\( \sqrt{5} \)

Shop Information

Which of the following statements about an 8-point saw is not true?

an 8-point saw makes a rougher cut than a 12-point saw

Saw blades are described by the number of teeth per inch (TPI). The higher the TPI of a saw the finer the cut it will make.

Word Knowledge
Melodious most nearly means:
dulcet
Having a pleasing melody.
Math Knowledge
2\(\frac{1}{2}\)

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?

2\(\frac{1}{2}\)

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

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.

Mechanical Comprehension

Assuming force applied remains constant, which of the following will result in more work being done?

moving the object farther

Work is accomplished when force is applied to an object: W = Fd where F is force in newtons (N) and d is distance in meters (m). Thus, the more force that must be applied to move an object, the more work is done and the farther an object is moved by exerting force, the more work is done.

Word Knowledge
Regale most nearly means:
entertain
To amuse.
Electronics Information

Capacitors connected in series produce __________ capacitance compared to capacitors connected in parallel.

less

Capacitors store electricity and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors connected in series produce less capacitance than capacitors connected in parallel.

Word Knowledge
Melee most nearly means:
brawl
A tumultuous fight among several people.
Automotive Information

The fluid reservoir stores the __________ that the master cylinder uses to maintain hydraulic pressure.

brake fluid

The fluid reservoir stores the brake fluid that the master cylinder uses to maintain hydraulic pressure.