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Sample Practice Test Questions
The __________ is the greatest factor that divides two integers.
greatest common factor
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following states of matter exists at the lowest temperature?
solid
Solids exist at a lower temperature than liquids which exist at a lower temperature than gases.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
What is c5 x 4c7?
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
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $50, how much money will he save?
By buying two shirts, Monty will save $50 x \( \frac{40}{100} \) = \( \frac{$50 x 40}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.
Which of the following is the formula for torque?
τ = rF
Torque measures force applied during rotation: τ = rF. Torque (τ, the Greek letter tau) = the radius of the lever arm (r) multiplied by the force (F) applied. Radius is measured from the center of rotation or fulcrum to the point at which the perpendicular force is being applied. The resulting unit for torque is newton-meter (N-m) or foot-pound (ft-lb).