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Sample Practice Test Questions

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.

Mechanical Comprehension
A 290 lb. barrel is rolled up a 14 ft. ramp to a platform that's 2 ft. tall. What effort is required to move the barrel?
41.4 lbs.

This problem describes an inclined plane and, for an inclined plane, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance:

Fede = Frdr

Plugging in the variables from this problem yields:

Fe x 14 ft. = 290 lbs. x 2 ft.
Fe = \( \frac{580 ft⋅lb}{14 ft.} \) = 41.4 lbs.

Electronics Information

A capacitor to an electronic circuit is like a _______________ to a house?

storage shed

Capacitors store electricity and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors are often used to maintain power within a system when it is disconnected from its primary power source or to smooth out or filter voltage within a circuit.

Shop Information

You need to loosen a bolt in a hard to reach location. Which of the following wrenches would best suit this task?

box-end

Wrenches are used to provide grip and mechanical advantage by applying torque to turn objects (or to keep them from turning). The longer the wrench, the more torque that can be applied. Wrench ends are available in two primary types, open-end and box-end. A box-end wrench encloses the bolt head and is useful when more torque is needed or to maintain contact in difficult to reach locations. An open-end wrench is designed for speedily loosening easier to reach fasteners. Wrenches that feature one open and one box end are called combination wrenches and adjustable wrenches feature an open end with an adjustable width.

Mechanical Comprehension
If you lift a 30 lbs. rock 24 ft. from the ground, how much work have you done?
720 ft⋅lb
Work is force times distance. In this case, the force is the weight of the rock so:
\( W = F \times d \)
\( W = 30 \times 24 \)
\( W = 720 \)
General Science

Blood is created in:

bone marrow

Blood is created in bone marrow and is made up of cells suspended in liquid plasma. Red blood cells carry oxygen, white blood cells fight infection, and platelets are cell fragments that allow blood to clot.

General Science

Elements in the Periodic Table of the Elements are ordered by which of the following?

atomic number

The Periodic Table of the Elements categorizes elements primarily by the number of protons in their nucleus (atomic number) and secondarily by the characteristics they exhibit.

Electronics Information

The farad is a unit of measurement for:

capacitance

Capacitors store electricity and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors are often used to maintain power within a system when it is disconnected from its primary power source or to smooth out or filter voltage within a circuit.

Word Knowledge
Each year, the Franklins commemorate their anniversary by visiting the site of their first date.
observe
To mark by a ceremony.
Word Knowledge
Authoritarian most nearly means:
strict
Favoring absolute obedience to authority.