Free ASVAB Practice Tests

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Sample Practice Test Questions

Word Knowledge
The boy's insolence to the policeman embarrassed his mother.
impudence
Boldness or rudeness.
Math Knowledge

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

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

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.

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

Mechanical Comprehension
2.5 lbs. If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how much weight would need to be placed at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 8 ft.?
2.5 lbs.

To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.

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

Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{20 lbs. \times 1 ft.}{8 ft.} \) = \( \frac{20 ft⋅lb}{8 ft.} \) = 2.5 lbs.

Math Knowledge

Order the following types of angle from least number of degrees to most number of degrees.

acute, right, obtuse

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

Word Knowledge
Simone, an expert in African sculpture, was asked to appraise the ambassador's collection of masks.
assess
To evaluate the worth of.
Word Knowledge
Censure most nearly means:
blame
To find fault with.
Math Knowledge
20

The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 4. What is the volume?

20

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 1 x 4
v = 20

Word Knowledge
Methodical most nearly means:
systematic
Performed in an orderly manner.
Mechanical Comprehension
If you have a gear train with two gears, the first with 32 teeth and the second with 4 teeth, how many revolutions does the second gear make for each revolution of the first gear?
8

The gear ratio (Vr) of a gear train is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:

Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)

In this problem, we have only two gears so the equation becomes:

Vr = \( \frac{N_1}{N_2} \) = \( \frac{32}{4} \) = 8

General Science

Which of the following is not a vector quantity?

mass

Velocity and displacement are vector quantities which means each is fully described by both a magnitude and a direction.  In contrast, scalar quantities are quantities that are fully described by a magnitude only.  A variable indicating a vector quantity will often be shown with an arrow symbol:  \(\vec{v}\)