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Sample Practice Test Questions

General Science

Which of the following is igneous rock?

granite

The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.

Mechanical Comprehension

Two gears are connected and the smaller gear drives the larger gear. The speed of rotation will __________ and the torque will __________.

decrease, increase

Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.

Automotive Information

Which of the following is the correct order for the engine stroke cycle?

intake, compression, power, exhaust

The stroke cycle order is intake stroke, compression stroke, power stroke, exhaust stroke.

Math Knowledge

Solve 3c + 2c = 9c - 9x + 8 for c in terms of x.

1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

3c + 2x = 9c - 9x + 8
3c = 9c - 9x + 8 - 2x
3c - 9c = -9x + 8 - 2x
-6c = -11x + 8
c = \( \frac{-11x + 8}{-6} \)
c = \( \frac{-11x}{-6} \) + \( \frac{8}{-6} \)
c = 1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

Word Knowledge
"Having cake now will preclude dessert later," said Amber's mother.
prevent
To rule out in advance.
Arithmetic Reasoning

What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?

168

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)

Now we need to simplify the radical:

42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168

Mechanical Comprehension
2.5 lbs. If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how much weight would need to be placed at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 8 ft.?
2.5 lbs.

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 Rb, our missing value, and plugging in our variables yields:

Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{20 lbs. \times 1 ft.}{8 ft.} \) = \( \frac{20 ft⋅lb}{8 ft.} \) = 2.5 lbs.

Arithmetic Reasoning

Which of the following is an improper fraction?

\({7 \over 5} \)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Word Knowledge
Kim, an eloquent speaker, was the best choice to make the presentation for the group.
articulate
Fluent, expressive.
Shop Information

The primary difference between a claw and a ball-peen hammer is which of the following?

their non-striking end

The most common striking tool is the hammer and the most common variety of hammer is the claw hammer. The claw hammer has two ends, one to drive nails and one to remove nails. Ball-peen hammers replace the claw with a rounded end that's used to round off the edges of metal pins and make gaskets.