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Sample Practice Test Questions

General Science

A subatomic particle found in the nucleus of an atom. It carries a positive electric charge. This desribes which of the following?

proton

A proton is a subatomic particle found in the nucleus of an atom. It carries a positive electric charge.

Arithmetic Reasoning

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

31

The equation for this sequence is:

an = an-1 + 2(n - 1)

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31

Mechanical Comprehension

The mechanical advantage of connected gears is proportional to which characteristic of the gears?

number of teeth

The mechanical advantage (amount of change in speed or torque) of connected gears is proportional to the number of teeth each gear has. Called gear ratio, it's the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear.  For example, a gear with 12 teeth connected to a gear with 9 teeth would have a gear ratio of 4:3.

Electronics Information

Which of the following is the same for each branch of a parallel circuit?

voltage

In a parallel circuit, each load occupies a separate parallel path in the circuit and the input voltage is fully applied to each path. Unlike a series circuit where current (I) is the same at all points in the circuit, in a parallel circuit, voltage (V) is the same across each parallel branch of the circuit but current differs in each branch depending on the load (resistance) present.

Word Knowledge
The story about the actress in the gossip column was a distortion of the truth.
contortion
The act of twisting out of shape.
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.

Math Knowledge

Solve for c:
c2 - 5c - 6 = 0

-1 or 6

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c2 - 5c - 6 = 0
(c + 1)(c - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 1) or (c - 6) must equal zero:

If (c + 1) = 0, c must equal -1
If (c - 6) = 0, c must equal 6

So the solution is that c = -1 or 6

Math Knowledge

If a = 9 and z = 8, what is the value of 2a(a - z)?

18

To solve this equation, 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.)

2a(a - z)
2(9)(9 - 8)
2(9)(1)
(18)(1)
18

General Science

Which of the following would you find in the side view mirror of a car?

convex mirror

A concave (or converging) mirror bulges inward and focuses reflected light on the mirror's focal point where the mirror's angles of incidence converge. In contrast, a convex (or diverging) mirror bulges outward and diffuses the light waves that strike it. A common use of a concave mirror is in a reflecting telescope, a common use of a convex mirror is in the side view mirror of a car.

General Science

Materials like metals that transfer heat efficiently are called:

conductors

Heat is always transferred from warmer to cooler environments and conduction is the simplest way this transfer can occur. It is accomplished through direct contact between materials and materials like metals that transfer heat efficiently are called conductors while those that conduct heat poorly, such as plastic, are called insulators.