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Sample Practice Test Questions
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%
What is the first step to solving a problem where multiple forces are acting on an object?
calculate the net force
In mechanics, multiple forces are often acting on a particular object and, taken together, produce the net force acting on that object. Like force, net force is a vector quantity in that it has magnitude and direction.
What links each piston to the engine's crankshaft?
connecting rod
A connecting rod employs a wrist pin to link each piston to the engine's crankshaft.
Opposed cylinder designs feature two rows of cylinders that are placed at what angle to each other?
180°
Opposed cylinder designs place cylinders flat in two rows 180° opposite each other with a single crankshaft running between them.
A person's genotype is their genetic makeup and includes:
both dominant and recessive alleles
A person's genotype is their genetic makeup and includes both dominant and recessive alleles. Phenotype is how the genes express themselves in physical characteristics.
Velocity is the rate at which an object changes position. What is the formula for velocity?
\(\vec{v} = { \vec{d} \over t } \)
Velocity is the rate at which an object changes position. Rate is measured in time and position is measured in displacement so the formula for velocity becomes \(\vec{v} = { \vec{d} \over t } \)
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).