Free ASVAB Practice Tests

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Sample Practice Test Questions

Math Knowledge

A cylinder with a radius (r) and a height (h) has a surface area of:

2(π r2) + 2π rh

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.

Math Knowledge
30cm

If side x = 12cm, side y = 9cm, and side z = 9cm what is the perimeter of this triangle?

30cm

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 9cm + 9cm = 30cm

Word Knowledge
The cruel Estella's corrosive comments made Pip cry.
caustic
Bitingly sarcastic.
Word Knowledge
The meticulous detective found every shred of evidence at the crime scene.
fastidious
Extrememly careful regarding details.
Word Knowledge
Gary believed the black foreboding sky was an inauspicious sign.
ominous
Not favorable.
Word Knowledge
Jason, a notorious gossip, was a conduit for information about his friends.
channel
Means for transmitting or distributing.
General Science

The formula  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) applies to which of Newton's laws?

universal gravitation

Newton's law of universal gravitation defines gravity: All objects in the universe attract each other with an equal force that varies directly as a product of their masses, and inversely as a square of their distance from each other. Expressed as a formula:  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) where r is the distance between the two objects and G is the gravitational constant with a value of 6.67 x 10-11.

Electronics Information
AC source

This circuit component symbol represents a(n):

AC source

In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.

Automotive Information

The air-fuel mixture is delivered to the combustion chamber by a(n):

intake valve

The combustion chamber is located in the cylinder head and contains the combustion of the air-fuel mixture. This mixture is delivered by an intake valve and the waste gases from combustion are removed from the combustion chamber by the exhaust valve.

Mechanical Comprehension
2.36 ft. If the green box weighs 55 lbs. and is 3 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. weight need to be placed to balance the lever?
2.36 ft.

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

db = \( \frac{R_ad_a}{R_b} \) = \( \frac{55 lbs. \times 3 ft.}{70 lbs.} \) = \( \frac{165 ft⋅lb}{70 lbs.} \) = 2.36 ft.