Free ASVAB Practice Tests

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Sample Practice Test Questions

Word Knowledge
Retroactive most nearly means:
retrograde
effective as of a prior time or condition.
Math Knowledge

Solve for b:
b2 - 5b - 6 = 0

-1 or 6

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b2 - 5b - 6 = 0
(b + 1)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 6) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 6) = 0, b must equal 6

So the solution is that b = -1 or 6

Word Knowledge
It was incumbent on Jack to attend his father's retirement party.
oblilgatory
Necessary as a duty or responsibility.
Math Knowledge
4\( \sqrt{2} \)

If the area of this square is 16, what is the length of one of the diagonals?

4\( \sqrt{2} \)

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{16} \) = 4

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 42 + 42
c2 = 32
c = \( \sqrt{32} \) = \( \sqrt{16 x 2} \) = \( \sqrt{16} \) \( \sqrt{2} \)
c = 4\( \sqrt{2} \)

General Science

During digestion, where is digested food absorbed into the blood stream?

small intestine

The small intestine is where most digestion takes place. As food travels along the small intestine it gets broken down completely by enzymes secreted from the walls. These enzymes are produced in the small intestine as well as in the pancreas and liver. After the enzymes break down the food, the resulting substances are then absorbed into the blood via capillaries in the small intestine walls.

General Science

Arteries carry __________ blood at __________ pressure.

oxygenated, high

Veins carry blood back to the heart from the body. While arteries are thick-walled because they carry oxygenated blood at high pressure, veins are comparatively thin-walled as they carry low-pressure deoxygenated blood. Like the heart, veins contain valves to prevent blood backflow.

Electronics Information

Which of the following converts electrical energy into another form of energy in an electrical circuit?

load

A load is a source of resistance that converts electrical energy into another form of energy. The components of a microwave, for example, are loads that work together to convert household electricity into radation that can be used to quickly cook food.

Word Knowledge
The genial host warmly greeted his many guests.
pleasant
Sympathetic, friendly.
Arithmetic Reasoning

Solve 2 + (5 + 2) ÷ 5 x 3 - 42

-9\(\frac{4}{5}\)

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (5 + 2) ÷ 5 x 3 - 42
P: 2 + (7) ÷ 5 x 3 - 42
E: 2 + 7 ÷ 5 x 3 - 16
MD: 2 + \( \frac{7}{5} \) x 3 - 16
MD: 2 + \( \frac{21}{5} \) - 16
AS: \( \frac{10}{5} \) + \( \frac{21}{5} \) - 16
AS: \( \frac{31}{5} \) - 16
AS: \( \frac{31 - 80}{5} \)
\( \frac{-49}{5} \)
-9\(\frac{4}{5}\)

Mechanical Comprehension

A ramp is an example of which kind of simple machine?

inclined plane

An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.