Multiple Choice Question: What is the area moment of inertia of a semicircle of radius $r$ about an axis parallel to its base and passing through its centroid.

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Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

Compute the sum of the integers from 1 to 1000.
Compute the following: $\displaystyle \sum_{n = 1}^3 \left( \dfrac{n + 1}{n} \right) - \sum_{n = 1}^3 \left( \dfrac{n}{n + 1} \right)$.
If two points in the number line have coordinates 1 and 7, find the coordinate of a point on the line which is twice as far from 1 as from 7.
At a point A that is 50 m from the base of a monument, the angle of elevation to the top of the monument is twice as large as the angle of elevation from a point B that is 150 m from the monument.
Solve for x if $\ln x = 2 + \ln (1 - x)$.
A student received grades of 72, 75, and 78 on three tests. What must her score in the next test be for her to have an average grade of 80 for all four tests?
A certain lotto game consists of 30 different balls numbered 1 to 30. If five balls are drawn at random without replacement, how many possible winning combinations can be made?
At 2:15 o'clock, the hour and minute hands of a clock form an angle of:
A machine poured melted chocolate into moulds. The standard deviation of the amount it pours is 0.7 grams, and the mean amount can be set on the machine.
Find the quotient of x^3 - x^2 - 5x + 6 divided by x - 2.
One number is 25 greater than a second number. If the lesser number is subtracted from 3 times the greater number, the difference is 195. Find the product of two numbers.
In pipe flow, applying the Bernoulli equation from one section (upstream side) to another section (downstream side) the total energy on one section (downstream side) is expressed as:
A bag contains 20 tennis balls, of which four are defective. If two balls are selected at random from the bag, what is the probability that both are defective?
The sum of thirteen consecutive integers is zero. What is the smallest integer?
Find the area of the sector inside the square ABCD.