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Sample Practice Test Questions

Word Knowledge
Flourish most nearly means:
brandish
To make bold, sweeping gestures.
Mechanical Comprehension

On Earth, acceleration due to gravity (g) is approximately __________. 

9.8 m/s2

Newton's Law of Univeral Gravitation defines the general formula for the attraction of gravity between two objects:  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) . In the specific case of an object falling toward Earth, the acceleration due to gravity (g) is approximately 9.8 m/s2

Arithmetic Reasoning

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

distributive property for division

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Shop Information

When cutting hard metals with a hacksaw you should choose a blade with __________ teeth per inch (TPI).

high

Blades with more and smaller teeth (high TPI) cut harder metals more effectively while blades with fewer and larger teeth (low TPI) cut softer metals more effectively.

Word Knowledge
Accentuate most nearly means:
highlight
To emphasize.
General Science

Which of the following substances gives up positively charged hydrogen ions (H+) when dissolved in water?

acid

An acid is a substance that gives up positively charged hydrogen ions (H+) when dissolved in water. A base (alkaline) gives up negatively charged hydroxide ions (OH-) when dissolved in water. pH is a scale that measures of how basic or acidic a solution is. Numbered from 0 to 14, solutions with a pH of 7 are neutral, less than 7 are acidic, more than 7 are alkaline.

Word Knowledge
Franklin hoped to defeat his adversary in the afternoon's tennis match.
opponent
One who opposes or resists.
General Science

What part of the brain is responsible for the major senses (thinking, hearing, seeing)?

cerebrum

The cerebrum is the major part of the brain and is responsible for the main senses (thinking, hearing, seeing).

General Science

__________ is caused by a lack of iron in the diet.

anemia

Anemia, which may cause weakness, dizziness, and headaches is caused by a lack of iron in the diet.

Mechanical Comprehension
0.29 ft. If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. force need to be applied to balance the lever?
0.29 ft.

To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.

Solving for db, our missing value, and plugging in our variables yields:

db = \( \frac{R_ad_a}{R_b} \) = \( \frac{20 lbs. \times 1 ft.}{70 lbs.} \) = \( \frac{20 ft⋅lb}{70 lbs.} \) = 0.29 ft.