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Sample Practice Test Questions

Math Knowledge

Simplify (y + 8)(y + 3)

y2 + 11y + 24

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:

(y + 8)(y + 3)
(y x y) + (y x 3) + (8 x y) + (8 x 3)
y2 + 3y + 8y + 24
y2 + 11y + 24

Math Knowledge

The formula for the area of a circle is which of the following?

a = π r2

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

General Science

The rows of the Periodic Table of the Elements are called:

periods

The rows of the Periodic Table are called periods and contain elements that have the same number of electron shells ordered from lower to higher atomic number. 

General Science

Which of the following is metamorphic rock?

marble

The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.

Arithmetic Reasoning

What is the least common multiple of 6 and 12?

12

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 have in common.

Mechanical Comprehension

A shovel is an example of which class of lever?

third

A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.

General Science

Which of the following is not a base unit in the metric system?

degree Fahrenheit

The Fahrenheit scale is used for measuring temperature in the British system. The metric system uses the Celsius scale.

Electronics Information
DC source

This circuit component symbol represents a(n):

DC source

Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of direct current (DC) is a battery.

Automotive Information

Which of the following receive signals from the powertrain control module (PCM) and carry out its instructions?

actuators

Actuators receive signals from the PCM and carry out adjustments needed based on the data the PCM received from the sensors.

Shop Information

You're replacing the hubcaps on a car. Which of the following are you most likely to use?

rubber mallet

A mallet is a hammer with a relatively large head, often made of rubber or wood. Both the size and material of the mallet head help prevent damage when striking more delicate surfaces.