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Sample Practice Test Questions
How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)
So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.
Which of the following transfers the torque from the transmission to the drive wheels at a constant speed while accomodating the up and down movement of the suspension?
constant velocity (CV) joint
Constant velocity (CV) joints are located at both ends of a half shaft and their purpose is to transfer the torque from the transmission to the drive wheels at a constant speed while accomodating the up and down movement of the suspension. The inner CV joint connects the shaft to the transmission and the outer CV joint connects the shaft to the wheel.
If the handles of a wheelbarrow are 3 ft. from the wheel axle, what force must you exert to lift the handles if it's carrying a 270 lb. load concentrated at a point 0.5 ft. from the axle?
45 lbs
This problem describes a second-class lever and, for a second class lever, 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 3 ft. = 270 lbs x 0.5 ft
Fe = 135 ft-lb. / 3 ft
Fe = 45 lbs
Find the value of a:
5a + y = -1
-2a - 3y = -3
You need to find the value of a so solve the first equation in terms of y:
5a + y = -1
y = -1 - 5a
then substitute the result (-1 - 5a) into the second equation:
-2a - 3(-1 - 5a) = -3
-2a + (-3 x -1) + (-3 x -5a) = -3
-2a + 3 + 15a = -3
-2a + 15a = -3 - 3
13a = -6
a = \( \frac{-6}{13} \)
a = -\(\frac{6}{13}\)
The crust and lithosphere of the Earth is made up of which of the following?
plates
The crust and the rigid lithosphere (upper mantle) is made up approximately thirty separate plates. These plates more very slowly on the slightly more liquid mantle (asthenosphere) beneath them. This movement has resulted in continental drift which is the gradual movement of land masses across Earth's surface. Continental drift is a very slow process, occurring over hundreds of millions of years.
Earth's history is divided into time periods, which of these is the shortest time period?
age
The Earth is approximately 4.6 billion years old and its history is divided into time periods based on the events that took place and the forms of life that were dominant during those periods. The largest graduation of time is the eon and each eon is subdivided into eras, eras into periods, periods into epochs, and epochs into ages.
Which of the following is the narrowest classification of life?
species
The narrowest classification of life, species, contains organisms that are so similar that they can only reproduce with others of the same species.
How many hours does it take a car to travel 75 miles at an average speed of 25 miles per hour?
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{75mi}{25mph} \)
3 hours
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%