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Sample Practice Test Questions

Mechanical Comprehension
10.5 ft. The green box weighs 10 lbs. and a 35 lbs. weight is placed 3 ft. from the fulcrum at the blue arrow. How far from the fulcrum would the green box need to be placed to balance the lever?
10.5 ft.

To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.

Solving for da, our missing value, and plugging in our variables yields:

da = \( \frac{R_bd_b}{R_a} \) = \( \frac{35 lbs. \times 3 ft.}{10 lbs.} \) = \( \frac{105 ft⋅lb}{10 lbs.} \) = 10.5 ft.

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.

General Science

A transition zone between two air masses is called:

front

An air mass is a large body of air that has similar moisture (density) and temperature characteristics. A front is a transition zone between two air masses.

Word Knowledge
Thelma tended to polarize discussions rather than to encourage compromise.
divide
To break up into opposing groups.
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

A biological community of interacting organisms and their physical environment is known as:

ecosystem

An ecosystem is a biological community of interacting organisms and their physical environment. This includes both the biotic (living) and abiotic (non-living).

Word Knowledge
Abate most nearly means:
subside
Become less in amount or intensity.
General Science

In the metric system, what prefix represents 10-3?

milli

In the metric system, milli is the prefix for 10-3.

General Science

The gravitational interaction of Earth and the Moon is responsible for which of these?

tides

Tides are caused by the gravitational interaction of Earth and the Moon.

General Science

In the classification of life, bacteria, archaea and eukaryota are which of the following?

domains

The broadest classification of life splits all organisms into three groups called domains. The three domains of life are bacteria, archaea and eukaryota.