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Sample Practice Test Questions
Solve for \( \frac{5!}{6!} \)
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)
In the classification of life, which of the following is not a kingdom?
bacteria
Below domain, life is classified into six kingdoms: plants, animals, archaebacteria, eubacteria, and fungi. The last kingdom, protists, include all microscopic organisms that are not bacteria, animals, plants or fungi. (Archaebacteria and eubacteria are sometimes combined into a single kingdom, monera.)
Spark plugs receive current from the:
distributor
Spark plugs receive current from the distributor and use it to spark combustion in the combustion chamber of a cylinder.
The radiator is responsible for tranferring heat from the coolant to:
outside air
The radiator is responsible for tranferring heat from the coolant to the outside air. Radiator hoses transfer coolant to and from the engine to the radiator and a radiator cap maintains pressure in the cooling system to increase the boiling point of the coolant mixture and thus allow it to absorb more heat.
Solve for c:
9c - 9 < \( \frac{c}{5} \)
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
9c - 9 < \( \frac{c}{5} \)
5 x (9c - 9) < c
(5 x 9c) + (5 x -9) < c
45c - 45 < c
45c - 45 - c < 0
45c - c < 45
44c < 45
c < \( \frac{45}{44} \)
c < 1\(\frac{1}{44}\)
If the radius of the axle is 5 and the radius of the wheel is 6, what is the mechanical advantage of this wheel and axle configuration?
The mechanical advantage of a wheel and axle lies in the difference in radius between the inner (axle) wheel and the outer wheel. But, this mechanical advantage is only realized when the input effort and load are applied to different wheels. Applying both input effort and load to the same wheel results in a mechanical advantage of 1.