Volume and Surface Area
What is 36pi.
The probability of drawing any given card from a deck of 52.
What is 1/52.
The sum of (4+2i) and (2-i).
What is (6+i).
The zeros of the polynomial x4+4x3-10x+1, to two decimal places.
What are x = 0.10 and x = 1.32.
False.
The surface area of a globe with radius 6 meters.
What is 144pi meters.
The number of ways you can arrange six books on a shelf.
What is 6!, or 720.
The number of components of a complex number.
What is 2.
The shape given by the equation x2+y2 < 23 {x > 0}
What is a half circle.
Name a set of numbers that is a subset of the real numbers.
Example responses include: natural numbers, rational numbers, irrational numbers, whole numbers, integers, etc.
The surface area of a square base pyramid, where the base length is 'b', and the side length to its tip is 's'.
What is SA = b2 + 2bs.
There are 6 students in a class. How many distinct teams of three students could you make?
20.
The classification of the function f(x) = (x+1)1/2.
What is a 'radical function'.
The genus of a hollow sphere with two holes.
What is 1.
Given A = {1, 2, 4, 5} and B = {2, 3, 5, 6}, find A U B.
A U B = {1, 2, 3, 4, 5, 6}.
The volume of an apple of radius 3 inches with its core, of radius 1 inch, removed.
What is 104pi/3 in3.
Two red marbles, three blue marbles, and seven yellow marbles are placed in a bag. What is the probability of picking the two red marbles out in a row?
1/66
The end behavior of the polynomial p(x) = -4x4+7x3+x+1.
What is p(x) to infinity for x to either positive and negative infinity.
The property that one object can be smoothly deformed into another.
What is topological equivalence.
Explain the main difference between a rhombus and parallelogram.
Rhombi have all sides of equal length, whereas parallelograms require parallel sides of equal length. Essentially, 'rhombus is to parallelogram as square is to rectangle.'
A cylindrical silo has an open top. Its height is 2 meters, its diameter is 4 meters. Find the surface area of its interior.
The alphabet has 26 letters. How many different three-letter passwords can be made? (you can repeat letters)
17,576.
The product of (2+i) and (1+i).
What is (1+3i).
The genus of a sphere that has two non-intersecting tunnels.
What is 2.
Use a diagram to show that (A∩B) ∩ (A∩C) = A∩B∩C
(∩ means 'intersection')
Variations on a Venn diagram will earn full credit.