Free ASVAB Practice Tests
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Sample Practice Test Questions
A __________ is the smallest multi-atom particle of an element or compound that can exist and still retain the characteristics of the element or compound.
molecule
A molecule is the smallest multi-atom particle of an element or compound that can exist and still retain the characteristics of the element or compound. The molecules of elements consist of two or more similar atoms, the molecules of compounds consist of two or more different atoms.
What is \( \frac{-7a^5}{7a^4} \)?
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-7a^5}{7a^4} \)
\( \frac{-7}{7} \) a(5 - 4)
-a
The __________ is an initial shallow saw cut made as a guide to prevent the saw from slipping sideways on subsequent more powerful cuts.
kerf
When you start sawing by creating a kerf it will help prevent the saw from slipping sideways when you begin the power strokes that do most of the cutting.
If the green box is 8 ft. from the fulcrum and a certain force applied 7 ft. from the fulcrum at the blue arrow balances the lever, what is the mechanical advantage?
Because this lever is in equilibrium, we know that the effort force at the blue arrow is equal to the resistance weight of the green box. For a lever that's in equilibrium, one method of calculating mechanical advantage (MA) is to divide the length of the effort arm (Ea) by the length of the resistance arm (Ra):
MA = \( \frac{E_a}{R_a} \) = \( \frac{7 ft.}{8 ft.} \) = 0.88
When a lever is in equilibrium, the torque from the effort and the resistance are equal. The equation for equilibrium is Rada = Rbdb where a and b are the two points at which effort/resistance is being applied to the lever.
In this problem, Ra and Rb are such that the lever is in equilibrium meaning that some multiple of the weight of the green box is being applied at the blue arrow. For a lever, this multiple is a function of the ratio of the distances of the box and the arrow from the fulcrum. That's why, for a lever in equilibrium, only the distances from the fulcrum are necessary to calculate mechanical advantage.
If the lever were not in equilibrium, you would first have to calculate the forces and distances necessary to put it in equilibrium and then divide Ea by Ra to get the mechanical advantage.
Absolute zero is which of the following?
the coldest temperature possible in the universe
In contrast to the Celsius scale (measured in degrees centigrade) that fixes 0° at the freezing point of water and the Fahrenheit scale that uses 32°, the Kelvin scale fixes 0 at absolute zero (-273°C) which is the lowest temperature possible in the universe.
Which is the proper order of Earth's atmospheric layers from the surface up to space?
troposphere, stratosphere, mesosphere, thermosphere
The troposphere is the closest layer to Earth, followed by the stratosphere, mesosphere, and finally the thermosphere which borders space.
Which of the following saws would you use for creating a curved cut in wood?
coping saw
Wood saws are categorized by their teeth shape and the number of teeth per inch (TPI). The higher the TPI of a saw the finer the cut it will make. Crosscut saws utilize knife-shaped teeth that cut across the grain of the wood while rip saws cut with the grain using chisel-shaped teeth that rip the wood cells apart as the cut is made. The kerf (slot) made by by a crosscut saw is much smoother than that made by a rip saw but a rip saw cuts much faster. Coping saws are a type of bow saw used to make detailed often curving cuts using replaceable blades with fine small teeth.
What's the last gear in a gear train called?
driven gear
A gear train is two or more gears linked together. Gear trains are designed to increase or reduce the speed or torque outpout of a rotating system or change the direction of its output. The first gear in the chain is called the driver and the last gear in the chain the driven gear with the gears between them called idler gears.
Solve for a:
a2 - 5a - 6 = 0
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 5a - 6 = 0
(a + 1)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 6) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 6) = 0, a must equal 6
So the solution is that a = -1 or 6