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Sample Practice Test Questions

Mechanical Comprehension

When it comes to force, mass and acceleration have what kind of relationship?

linear

Newton's Second Law of Motion states that "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This Law describes the linear relationship between mass and acceleration when it comes to force and leads to the formula F = ma or force equals mass multiplied by rate of acceleration.

Arithmetic Reasoning

Convert 0.0006095 to scientific notation.

6.095 x 10-4

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0006095 in scientific notation is 6.095 x 10-4

Math Knowledge
9π

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 9)
v = 9π

General Science

Tertiary consumers eat which of the following?

primary and secondary consumers

Tertiary consumers eat primary consumers and secondary consumers and are typically carnivorous predators. Tertiary consumers may also be omnivores. Examples include wolves, sharks, and human beings.

General Science

An element in the physical state of __________ maintains neither a constant volume nor a constant shape.

gas

The gaseous state occurs at a higher temperature range than the solid and liquid states of the same substance. In this state, molecules flow very freely around each other and will spread out as far as they're able. Gases maintain neither a constant volume nor a constant shape.

Math Knowledge

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

Odd

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

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

Math Knowledge

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

a = π r2

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.

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

Atoms of an element whose atoms can vary in the number of neutrons in their nucleus are called which of the following?

isotopes

The atomic mass of an element listed in the Periodic Table represents the average mass of a single atom of that element and is measured in atomic mass units (amu). This number is an average as some elements have isotopes with atoms that vary in their number of neturons and, therefore, differ in weight.