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Sample Practice Test Questions

Word Knowledge
They were ecstatic when their team won the championship game in the last second.
overjoyed
Overwhelmingly emotional.
Arithmetic Reasoning

Find the average of the following numbers: 17, 13, 17, 13.

15

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 13 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15

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.)

General Science

In cell biology, cytokinesis results in two separate:

cells

During cell division, the cytokinesis phase occurs when cytoplasm and cell membranes complete their separation resulting in two separate cells.

Arithmetic Reasoning

What is -z2 + 5z2?

4z2

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-1z2 + 5z2
(-1 + 5)z2
4z2

Arithmetic Reasoning

Jennifer scored 73% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

22

Jennifer scored 73% on the test meaning she earned 73% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.73 = 88 points. Each question is worth 4 points so she got \( \frac{88}{4} \) = 22 questions right.

Mechanical Comprehension

A block and tackle with four pulleys would have a mechanical advantage of:

4

Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement.  So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.

Automotive Information

Which engine stroke starts with the piston at top dead center?

intake stroke

The four-stroke piston cycle of internal combustion engines starts with the piston at top of the cylinder head (top dead center or TDC) during the intake stroke. The piston moves downward in the cylinder creating a vacuum that pulls an air-fuel mix into the combustion chamber through the now open intake valve.

Math Knowledge

The formula for the area of a circle is which of the following?

c = π d

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

General Science

Which of the following is not a vector quantity?

mass

Velocity and displacement are vector quantities which means each is fully described by both a magnitude and a direction.  In contrast, scalar quantities are quantities that are fully described by a magnitude only.  A variable indicating a vector quantity will often be shown with an arrow symbol:  \(\vec{v}\)