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Sample Practice Test Questions
If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 14 - 6 = 8 new staff for the busy season.
The heat from the Sun traveling to Earth is an example of which of the following?
radiation
Radiation occurs when electromagnetic waves transmit heat. An example is the heat from the Sun as it travels to Earth.
Gear ratio indicates which of the following about two connected gears?
mechanical advantage
The mechanical advantage (amount of change in speed or torque) of connected gears is proportional to the number of teeth each gear has. Called gear ratio, it's the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. For example, a gear with 12 teeth connected to a gear with 9 teeth would have a gear ratio of 4:3.
An inclined plane increases ___________ to reduce ____________.
distance, force
An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.
Concurrent forces:
pass through a common point
Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.
If a = 4, b = 2, c = 9, and d = 4, what is the perimeter of this quadrilateral?
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 2 + 9 + 4
p = 19
Which of the following is a relay that connects the battery to the starter motor when the ignition key is turned?
solenoid
The cylindrical solenoid is a relay that safely connects the high amperage battery to the starter motor when the ignition key is turned. This current then allows the engine to turn at a high enough speed to start.
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.
What is the pimary advantage of using power brakes on a vehicle?
provides higher hydraulic pressure in the braking system
Power brakes multiply the force a driver applies to the brake pedal using a vacuum booster connected to the engine intake manifold. This provides for much higher hydraulic pressure in the braking system than could be generated by the driver alone. Antilock brakes (ABS) use speed sensors and adjust the brake pressure at each wheel to prevent skidding and allow the driver more steering control in slippery conditions.