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Sample Practice Test Questions

Word Knowledge
"heed my advice," the fortuneteller warned Sebastian when he tried to ignore her prophecy.
mind
To pay attention to.
Arithmetic Reasoning

What is \( \frac{4}{6} \) ÷ \( \frac{4}{8} \)?

1\(\frac{1}{3}\)

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{6} \) ÷ \( \frac{4}{8} \) = \( \frac{4}{6} \) x \( \frac{8}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{6} \) x \( \frac{8}{4} \) = \( \frac{4 x 8}{6 x 4} \) = \( \frac{32}{24} \) = 1\(\frac{1}{3}\)

General Science

Which of the following is the correct order for types of radiation from lowest to highest frequency?

radio waves → visible light → gamma rays

The electromagnetic spectrum covers all possible wavelengths and frequencies of radiation.  From lowest frequency (longest wavelength) to highest frequency (shortest wavelength) radiation: radio waves → microwaves → infrared waves → visible light → ultraviolet light → X-rays → gamma rays.

General Science

As part of digestion, the liver produces bile which breaks down:

fat

The liver produces bile which emulsifies (separates) fat.

Electronics Information

The hertz is a unit of measurement for:

frequency

The hertz is a unit of measurement for frequency.

Arithmetic Reasoning

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?

4

To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4

Mechanical Comprehension
48.89 lbs. If A = 10 ft., B = 1 ft., C = 9 ft., the green box weighs 50 lbs. and the blue box weighs 60 lbs., what does the orange box have to weigh for this lever to balance?
48.89 lbs.
In order for this lever to balance, the torque acting on each side of the fulrum must be equal. So, the torque produced by A must equal the torque produced by B and C. Torque is weight x distance from the fulcrum which means that the following must be true for the lever to balance:

fAdA = fBdB + fCdC

For this problem, this equation becomes:

50 lbs. x 10 ft. = 60 lbs. x 1 ft. + fC x 9 ft.

500 ft. lbs. = 60 ft. lbs. + fC x 9 ft.

fC = \( \frac{500 ft. lbs. - 60 ft. lbs.}{9 ft.} \) = \( \frac{440 ft. lbs.}{9 ft.} \) = 48.89 lbs.

Word Knowledge
Stealth most nearly means:
furtiveness
The act of moving secretly or unnoticed.
Math Knowledge

Which of the following is not required to define the slope-intercept equation for a line?

x-intercept

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

General Science

Molecules and atoms that are inputs to a chemical reaction are known as which of the following?

reactants

During a chemical reaction molecules and atoms (reactants) are rearranged into new combinations that result in new kinds of atoms or molecules (products).