Mathematics
The volume of a cube is 16√2. What is its surface area?
48
A 5-kilogram mass is dropped from rest. In meters per second, how fast is it falling after 2 seconds?
19.6
When performing a titration, what point is defined as the point at which the indicator changes color?
ENDPOINT (DO NOT ACCEPT: EQUIVALENCE POINT)
In humans, hyperfunctioning of the thyroid gland can result from which of the following conditions?
W) Cushing's syndrome
X) Addison's disease
Y) Cretinism
Z) Graves’ disease
Z) GRAVES’ DISEASE
Which of the following best describes the luster of cut diamonds?
W) Adamantine
X) Vitreous
Y) Pitchy
Z) Resinous
W) ADAMANTINE
Solve the following system of three equations in three unknowns:
x + y = 4, y + z = 1, and x + z = 13?
x = 8; y = –4; z = 5 (ACCEPT: (8, –4, 5))
If a rigid body is experiencing no net torque and no net forces, it is said to be in what state?
EQUILIBRIUM (ACCEPT: DYNAMIC EQUILIBRIUM, MECHANICAL EQUILIBRIUM; DO NOT ACCEPT: STATIC EQUILIBRIUM)
Which of the following pairs of compounds have the same empirical formula?
W) Water and hydrogen peroxide
X) Methane and ethane
Y) Glucose and formaldehyde
Z) Carbon monoxide and carbon dioxide
Y) GLUCOSE AND FORMALDEHYDE
The skeletons of Chondrichthyans are composed of what structural tissue?
CARTILAGE
A location contains deposits of poorly-sorted mixtures of sediment and rocks, including large boulders. Which of the following geological processes is most likely responsible for these deposits?
W) River flow
X) Glacier flow
Y) Wind erosion
Z) Volcanic activity
X) GLACIER FLOW
You inscribe a circle in a square and then you hit the square with 100 randomly-placed darts. To the nearest whole number how many of the darts would you expect to land in the circle?
79
A particular planet has a mass that is one-four hundredth that of the Earth and a radius that is one-eighth that of the Earth. Expressed as a percentage of g, what is the surface acceleration due to gravity on this planet?
16 (ACCEPT: 16% OF g)
Rank the following four elements in increasing order of melting point: 1) Sodium; 2) Cesium; 3) Potassium; 4) Lithium
2, 3, 1, 4
The cohesion-tension hypothesis attempts to explain the movement of liquid through what plant system?
XYLEM
Kepler’s first law of planetary motion addresses which of the following aspects of orbiting bodies?
W) The relationship between orbital period and distance from the Sun
X) The relationship between mass and rotational period
Y) The shape of orbits
Z) The area swept out by an orbiting body
Y) THE SHAPE OF ORBITS
What is the cross product of vectors i + 2j + 3k cross j?
–3i + k (ACCEPT: –3i + 0j + 1k, –3i + 1k)
A 10 kilogram body initially moving with a velocity of 10 meters per second makes a head-on collision with a 15 kilogram body initially at rest. The two objects stick together. What is the velocity of the combined system just after the collision?
4 METERS PER SECOND
What is the systematic name of the compound NaOCl?
SODIUM HYPOCHLORITE
Indole-acetic acid is an example of what class of plant hormones?
AUXINS
What type of reflecting telescope has a secondary mirror deflect the light by 90 degrees so that it is focused at an eyepiece on the side of the telescope?
NEWTONIAN
What is the limit as x approaches zero of the fraction with numerator sine squared of x plus open parenthesis sine of x^2 close parenthesis, and denominator x^2?
2
Consider the two displacement vectors 3i meters and –4j meters. Identify all of the following three statements that are true of this system: 1) Their dot product is zero; 2) They are perpendicular to each other; 3) Their cross product is zero.
1, 2
What is the name of the organic compound whose chemical name is amygdalin and is found in the pits of apricots and peaches?
LAETRILE
Describe the process of blood flow in the circulatory system inside a healthy heart.
Blood enters through the inferior or superior vena cava, enters the right atrium, goes though the tricuspid valve, into the right ventricle, through the pulmonary valve, into the pulmonary arties, into the lungs, then through the pulmonary veins into the left atrium, through the mitral valve, then the left ventricle and through the aortic valve and out the aorta.
It is 9:00 p.m. in Greenwich, England. You are on a ship whose local time is 6:00 p.m. What is the longitude of your ship?
45 DEGREES WEST