Free ASVAB Practice Tests
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1,557 Questions, Problems & Flash CardsHuge database of 668 multiple-choice questions, 135 math and algebra problems, and 754 flash cards to help you prepare for the ASVAB.
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Sample Practice Test Questions
The green box weighs 10 lbs. and a 35 lbs. weight is placed 3 ft. from the fulcrum at the blue arrow. How far from the fulcrum would the green box need to be placed to balance the lever?
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 da, our missing value, and plugging in our variables yields:
da = \( \frac{R_bd_b}{R_a} \) = \( \frac{35 lbs. \times 3 ft.}{10 lbs.} \) = \( \frac{105 ft⋅lb}{10 lbs.} \) = 10.5 ft.
The mechanical advantage of a wheel and axle is equal to the:
ratio of the diameters of the wheels
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.
Solve for \( \frac{5!}{6!} \)
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
By buying two shirts, Damon will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50
A biological community of interacting organisms and their physical environment is known as:
ecosystem
An ecosystem is a biological community of interacting organisms and their physical environment. This includes both the biotic (living) and abiotic (non-living).
A large naturally occurring community of flora and fauna occupying a major habitat is:
a biome
A biome is a large naturally occurring community of flora (plants) and fauna (animals) occupying a major habitat (home or environment).
What kind of weather front is likely to create clouds and storms?
warm front
A warm front is the boundary between warm and cool (or cold) air when the warm air is replacing the cold air. Warm air at the surface pushes above the cool air mass creating clouds and storms.
When compared to drilling, boring makes __________ holes.
larger
Drilling is the process of making small holes in wood or metal while boring is the process of making larger holes.