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Sample Practice Test Questions

Arithmetic Reasoning

Which of the following is an improper fraction?

\({7 \over 5} \)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

General Science

Plant cells may generate energy through which of the following?

photosynthesis

Some plant cells produce their own energy through photosynthesis which is the process by which sunlight, carbon dioxide, and water react to make sugar and oxygen. Animal cells cannot produce their own energy and, instead, generate energy when mitochondria consume outside sugar and oxygen through aerobic respiration.

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.

Math Knowledge

A(n) __________ is to a parallelogram as a square is to a rectangle.

rhombus

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

Shop Information

You need to secure a piece of wood while you're drilling a hole. Which of the following would be the most appropriate tool to use?

vise

A vise is a clamp that is anchored to a work station and designed to hold material in place while it is being operated upon.

Math Knowledge
21

If the base of this triangle is 6 and the height is 7, what is the area?

21

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 7 = \( \frac{42}{2} \) = 21

Word Knowledge
The genial host warmly greeted his many guests.
pleasant
Sympathetic, friendly.
Mechanical Comprehension
15 ft. If the green box weighs 25 lbs. and 75 lbs. of force is applied 5 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?
15 ft.

To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.

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

da = \( \frac{R_bd_b}{R_a} \) = \( \frac{75 lbs. \times 5 ft.}{25 lbs.} \) = \( \frac{375 ft⋅lb}{25 lbs.} \) = 15 ft.

General Science

pH is a scale that measures of how basic or acidic a solution is. A solution with a pH of 4 is:

acidic

An acid is a substance that gives up positively charged hydrogen ions (H+) when dissolved in water. A base (alkaline) gives up negatively charged hydroxide ions (OH-) when dissolved in water. pH is a scale that measures of how basic or acidic a solution is. Numbered from 0 to 14, solutions with a pH of 7 are neutral, less than 7 are acidic, more than 7 are alkaline.

Word Knowledge
Regale most nearly means:
entertain
To amuse.