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Sample Practice Test Questions

General Science

In the food chain, bacteria and fungi convert the organic matter in the dead bodies of plants and animals into simple nutrients. Bacteria and fungi are:

decomposers

Decomposers (saprotrophs) are organisms such as bacteria and fungi that break down the organic matter in the dead bodies of plants and animals into simple nutrients.

Arithmetic Reasoning

If \(\left|a\right| = 7\), which of the following best describes a?

a = 7 or a = -7

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

Word Knowledge
Sheila, who could not resist bragging, flaunted the "A" marked on her test paper.
parade
To display showily.
Mechanical Comprehension
1 If the radius of the axle is 5 and the radius of the wheel is 6, what is the mechanical advantage of this wheel and axle configuration?
1

The mechanical advantage of a wheel and axle lies in the difference in radius between the inner (axle) wheel and the outer wheel. But, this mechanical advantage is only realized when the input effort and load are applied to different wheels. Applying both input effort and load to the same wheel results in a mechanical advantage of 1.

Math Knowledge

Order the following types of angle from least number of degrees to most number of degrees.

acute, right, obtuse

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

General Science

Which of the following is not true about mass and weight?

mass depends on the location where it is measured

Mass is the amount of matter something has while weight is the force exerted on an object's mass by gravity.  So, although a person's mass doesn't change when going from the Earth to the Moon, their weight will decrease because the force of the Moon's gravity is much less than that of Earth.

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{20} \) - \( 2 \)\( \sqrt{5} \)

8\( \sqrt{5} \)

To subtract these radicals together their radicands must be the same:

5\( \sqrt{20} \) - 2\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 2\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 2\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 2\( \sqrt{5} \)
10\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 2\( \sqrt{5} \)
(10 - 2)\( \sqrt{5} \)
8\( \sqrt{5} \)

Math Knowledge

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

pairs

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

Word Knowledge
The school decided to take corrective measures to prevent truancy.
remedial
Intended to correct.
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\(\frac{1}{3}\)