Free ASVAB Practice Tests

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Sample Practice Test Questions

Automotive Information

Spark plugs receive current from the:

distributor

Spark plugs receive current from the distributor and use it to spark combustion in the combustion chamber of a cylinder.

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.

Math Knowledge

Solve for z:
z2 + 6z - 13 = -z + 5

2 or -9

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z2 + 6z - 13 = -z + 5
z2 + 6z - 13 - 5 = -z
z2 + 6z + z - 18 = 0
z2 + 7z - 18 = 0

Next, factor the quadratic equation:

z2 + 7z - 18 = 0
(z - 2)(z + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 9) must equal zero:

If (z - 2) = 0, z must equal 2
If (z + 9) = 0, z must equal -9

So the solution is that z = 2 or -9

Math Knowledge
diameter

On this circle, line segment AB is the:

diameter

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

Math Knowledge
73°

If angle a = 68° and angle b = 39° what is the length of angle c?

73°

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 39° = 73°

General Science

In the heart, blood flows from the right __________ to the lungs then back to the heart via the left __________.

ventricle, atrium

The two largest veins in the body, the venae cavae, pass blood to the right ventricle which pumps the blood to the lungs through the pulmonary artery. Blood picks up oxygen in the lungs and returns it to the left atrium via the pulmonary vein.

Arithmetic Reasoning

If \(\left|a\right| = 7\), which of the following best describes a?

a = 7 or a = -7

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

Mechanical Comprehension

If the handles of a wheelbarrow are 3 ft. from the wheel axle, what force must you exert to lift the handles if it's carrying a 270 lb. load concentrated at a point 0.5 ft. from the axle?

45 lbs

This problem describes a second-class lever and, for a second class lever, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance: Fede = Frdr. Plugging in the variables from this problem yields:

Fe x 3 ft. = 270 lbs x 0.5 ft
Fe = 135 ft-lb. / 3 ft 
Fe = 45 lbs

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.

Mechanical Comprehension

The steering wheel of a car is an example of which type of simple machine?

wheel and axle

A wheel and axle uses two different diameter wheels mounted to a connecting axle. Force is applied to the larger wheel and large movements of this wheel result in small movements in the smaller wheel. Because a larger movement distance is being translated to a smaller distance, force is increased with a mechanical advantage equal to the ratio of the diameters of the wheels. An example of a wheel and axle is the steering wheel of a car.