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Sample Practice Test Questions

Mechanical Comprehension

Which of the following surfaces would have the highest coefficient of friction?

concrete

Coefficient of friction (μ) represents how much two materials resist sliding across each other.  Smooth surfaces like ice have low coefficients of friction while rough surfaces like concrete have high μ.

Arithmetic Reasoning

If a rectangle is twice as long as it is wide and has a perimeter of 12 meters, what is the area of the rectangle?

8 m2

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 12 meters so the equation becomes: 2w + 2h = 12.

Putting these two equations together and solving for width (w):

2w + 2h = 12
w + h = \( \frac{12}{2} \)
w + h = 6
w = 6 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 6 - 2w
3w = 6
w = \( \frac{6}{3} \)
w = 2

Since h = 2w that makes h = (2 x 2) = 4 and the area = h x w = 2 x 4 = 8 m2

General Science

Which of the following is the formula for power?

\(P = {w \over t}\)

Power is the rate at which work is performed or work per unit time:  \(P = {w \over t}\)  and is measured in watts (W).

Mechanical Comprehension

What's the first gear in a gear train called?

driver gear

A gear train is two or more gears linked together. Gear trains are designed to increase or reduce the speed or torque outpout of a rotating system or change the direction of its output. The first gear in the chain is called the driver and the last gear in the chain the driven gear with the gears between them called idler gears.

Word Knowledge
Flaw most nearly means:
defect
An imperfection.
Math Knowledge

Solve for y:
-5y - 3 = \( \frac{y}{-3} \)

-\(\frac{9}{14}\)

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 equal sign and the answer on the other.

-5y - 3 = \( \frac{y}{-3} \)
-3 x (-5y - 3) = y
(-3 x -5y) + (-3 x -3) = y
15y + 9 = y
15y + 9 - y = 0
15y - y = -9
14y = -9
y = \( \frac{-9}{14} \)
y = -\(\frac{9}{14}\)

Shop Information
vernier caliper

This tool is a(n) __________.

vernier caliper

Calipers are similar to micrometers in shape but instead of measuring distances, calipers are used to transfer distances between objects. An outside caliper is used to transfer outside dimensions while an inside caliper is used to transfer inside distances. A vernier caliper is an extremely precise caliper (down to \({1 \over 1000}\) inch) that allows measuring / transferring either inside or outside dimensions.

General Science

As part of digestion, the liver produces bile which breaks down:

fat

The liver produces bile which emulsifies (separates) fat.

Word Knowledge
Futile most nearly means:
hopeless
Without purpose, completely ineffective.
Electronics Information

Electromotive force is another name for:

voltage

Voltage (V) is the electrical potential difference between two points. Electrons will flow as current from areas of high potential (concentration of electrons) to areas of low potential. Voltage and current are directly proportional in that the higher the voltage applied to a conductor the higher the current that will result.