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Sample Practice Test Questions
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
The __________ converts pressure on the brake pedal to hydraulic pressure in the brake lines.
master cylinder
The master (brake) cylinder converts pressure on the brake pedal to hydraulic pressure in the brake lines.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
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
If a mayor is elected with 86% of the votes cast and 68% of a town's 29,000 voters cast a vote, how many votes did the mayor receive?
If 68% of the town's 29,000 voters cast ballots the number of votes cast is:
(\( \frac{68}{100} \)) x 29,000 = \( \frac{1,972,000}{100} \) = 19,720
The mayor got 86% of the votes cast which is:
(\( \frac{86}{100} \)) x 19,720 = \( \frac{1,695,920}{100} \) = 16,959 votes.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
This circuit component symbol represents a(n):
resistor
Resistors are used to limit voltage and/or current in a circuit and can have a fixed or variable resistance. Variable resistors (often called potentiometers or rheostats) are used when dynamic control over the voltage/current in a circuit is needed, for example, in a light dimmer or volume control.
Which of the following allows DC to pass easily but resists the flow of AC?
inductor
An inductor is coiled wire that stores electric energy in the form of magnetic energy and resists changes in the electric current flowing through it. If current is increasing, the inductor produces a voltage that slows the increase and, if current is decreasing, the magnetic energy in the coil opposes the decrease to keep the current flowing longer. In contrast to capacitors, inductors allow DC to pass easily but resist the flow of AC.
What is 7a + 6a?
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 6a = 13a
The ohm is a unit of measurement for:
resistance
Resistance is opposition to the flow of current and is measured in ohms (Ω). One ohm is defined as the amount of resistance that will allow one ampere of current to flow if one volt of voltage is applied. As resistance increases, current decreases as resistance and current are inversely proportional.
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.