Free ASVAB Practice Tests

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Sample Practice Test Questions

Math Knowledge

Factor y2 - 4y - 32

(y - 8)(y + 4)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -32 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -8 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4y - 32
y2 + (-8 + 4)y + (-8 x 4)
(y - 8)(y + 4)

Math Knowledge
7

If AD = 29 and BD = 22, AB = ?

7

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 29 - 22
AB = 7

General Science

Regulation of heart rhythm occurs in:

medulla

Part of the brainstem, the medulla is the connection between the brain and the spinal cord. It controls involuntary actions like breathing, swallowing, and heartbeat.

Word Knowledge
Mediate most nearly means:
arbitrate
To come between parties in order to reconcile.
Math Knowledge

A quadrilateral is a shape with __________ sides.

4

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

Word Knowledge
Ramble most nearly means:
roam
To wander, physically or in language.
Automotive Information

Exhaust gases from cylinder exhaust valves are collected by the:

exhaust manifolds

The cast iron exhaust manifolds collect engine exhaust gas from multiple cylinder exhaust valves and deliver it to the exhaust pipe. Exhaust manifolds can be generic or specially tuned (header pipes) to the engine. Header pipes deliver higher performance but are more expensive and less durable.

Arithmetic Reasoning

Which of the following is not a prime number?

9

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

General Science

Which of the following would be used in eye glasses to correct farsightedness?

convex lens

Unlike curved mirrors that operate on the principle of reflection, lenses utilize refraction. A convex lens is thicker in the middle than on the edges and converges light while a concave lens is thicker on the edges than in the middle and diffuses light. A common use for curved lenses is in eye glasses where a convex lens is used to correct farsightedness and a concave lens is used to correct nearsightedness.

Electronics Information
How would you connect 8 [9V 15A] batteries to achieve a combined power output of 9V 120A?
parallel

Connecting the 8 batteries in series multiplies their voltage while keeping their current the same yielding a 72V 15A configuration. Connecting the 8 batteries in parallel multiplies their current while keeping their voltage the same yieleding a 9V 120A configuration. Using a series-parallel connection, 4 batteries can be connected in series and 4 can be connected in parallel resulting in a 36V 60A configuration.