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Sample Practice Test Questions

Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $50, how much money will he save?

$20.00

By buying two shirts, Monty will save $50 x \( \frac{40}{100} \) = \( \frac{$50 x 40}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.

General Science

Herbivores are __________ that subsist on producers like plants and fungus.

primary consumers

Primary consumers (herbivores) subsist on producers like plants and fungus.  Examples are grasshoppers, cows, and plankton.

General Science

The ozone layer is in which of Earth's atmospheric layers?

stratosphere

The stratosphere is just above the troposphere and is stratified in temperature with warmer layers higher and cooler layers closer to Earth. This increase in temperature is a result of absorption of the Sun's radiation by the ozone layer.

Math Knowledge

Simplify (9a)(8ab) + (7a2)(8b).

128a2b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(8ab) + (7a2)(8b)
(9 x 8)(a x a x b) + (7 x 8)(a2 x b)
(72)(a1+1 x b) + (56)(a2b)
72a2b + 56a2b
128a2b

General Science

Scavengers break down the dead bodies of plants and animals into which of the following?

simple nutrients

Like decomposers, scavengers also break down the dead bodies of plants and animals into simple nutrients. The difference is that scavengers operate on much larger refuse and dead animals (carrion). Decomposers then consume the much smaller particles left over by the scavengers.

Math Knowledge

Solve for b:
-5b - 3 = \( \frac{b}{-3} \)

-\(\frac{9}{14}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-5b - 3 = \( \frac{b}{-3} \)
-3 x (-5b - 3) = b
(-3 x -5b) + (-3 x -3) = b
15b + 9 = b
15b + 9 - b = 0
15b - b = -9
14b = -9
b = \( \frac{-9}{14} \)
b = -\(\frac{9}{14}\)

Arithmetic Reasoning

What is \( \frac{4}{6} \) + \( \frac{4}{14} \)?

\(\frac{20}{21}\)

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{4 x 7}{6 x 7} \) + \( \frac{4 x 3}{14 x 3} \)

\( \frac{28}{42} \) + \( \frac{12}{42} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{28 + 12}{42} \) = \( \frac{40}{42} \) = \(\frac{20}{21}\)

Word Knowledge
Exalt most nearly means:
glorify
To elevate by praise.
Mechanical Comprehension

Boyle's law defines the relationship between pressure and volume as:

\(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional". Expressed as a formula, that's \(\frac{P_1}{P_2} = \frac{V_2}{V_1}\)

General Science

In the classification of life, which of the following is not a kingdom?

bacteria

Below domain, life is classified into six kingdoms: plants, animals, archaebacteria, eubacteria, and fungi. The last kingdom, protists, include all microscopic organisms that are not bacteria, animals, plants or fungi.  (Archaebacteria and eubacteria are sometimes combined into a single kingdom, monera.)