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Sample Practice Test Questions

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

Arithmetic Reasoning

A factor is a positive __________ that divides evenly into a given number.

integer

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

Shop Information

Which of the following is not an advantage of using a ratchet with a larger point-sized socket?

larger point sizes allow easier alignment

A ratchet (or socket wrench) is a wrench that applies torque in only one direction with a handle that can be moved back and forth without losing contact with the fastener. A ratchet uses variable attachments called sockets which come in a variety of drive sizes based on the size of the opening that attaches to the ratchet. Sockets with the same drive size will vary in the shape (six-point, twelve-point) and size of the nut opening that attaches to the fastener being tightened or loosened. Smaller point sized sockets are stronger and can apply greater torque while larger point sizes allow easier alignment.

General Science

Examples of tertiary consumers include:

sharks

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.

Automotive Information

Waste gases from combustion are removed from the combustion chamber by the:

exhaust valve

The combustion chamber is located in the cylinder head and contains the combustion of the air-fuel mixture. This mixture is delivered by an intake valve and the waste gases from combustion are removed from the combustion chamber by the exhaust valve.

Math Knowledge
4\( \sqrt{2} \)

If the area of this square is 16, what is the length of one of the diagonals?

4\( \sqrt{2} \)

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{16} \) = 4

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 42 + 42
c2 = 32
c = \( \sqrt{32} \) = \( \sqrt{16 x 2} \) = \( \sqrt{16} \) \( \sqrt{2} \)
c = 4\( \sqrt{2} \)

Electronics Information
How would you connect 4 [9V 25A] batteries to achieve a combined power output of 18V 50A?
series-parallel

Connecting the 4 batteries in series multiplies their voltage while keeping their current the same yielding a 36V 25A configuration. Connecting the 4 batteries in parallel multiplies their current while keeping their voltage the same yieleding a 9V 100A configuration. Using a series-parallel connection, 2 batteries can be connected in series and 2 can be connected in parallel resulting in a 18V 50A configuration.

General Science

Antigens in the blood determine:

blood type

Blood is categorized into four different types (A, B, AB, and O) based on the type of antigens found on the outside of the red blood cells. Additionally, each type can be negative or positive based on whether or not the cells have an antigen called the Rh factor.

Automotive Information

Control arms connect a vehicle's suspension to the frame. The connection to the frame uses:

bushings

Control arms (upper and lower) connect a vehicle's suspension to the frame. The connection to the wheels is through ball joints which allow the control arms to turn and move up and down simultaneously. The frame connection uses bushings.

Arithmetic Reasoning

What is c5 x 4c7?

4c12

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

c5 x 4c7
(1 x 4)c(5 + 7)
4c12