Sam Reheard, DC ‘99
Math Quiz
Name __________________________________
I. Definitions. Write a mathematical definition.
1) scalene
2) combination
II. Permutations, Combinations & Counting Principle. Write what kind of question (P, C, or CP)
each problem is on the line provided. Then solve. Show your work. Box your answer. (2 points each)
________ 3) In how many ways can a president, a vice president, and a treasurer be chosen from a
group of nine people running for office?
________ 4) A certain type of luggage has room for three initials. How many different three-letter
arrangements are possible?
________ 5) Pants for a uniform come in three sizes: small, medium, and large. They also come in two
colors: gray and black. How many different pants are there?
________ 6) Chanee wants to invite six friends to her house, but her mom says that she can only invite
four friends. How many different groups of seven friends could she invite?
III. Proportions and Percent. Answer. Show your work. Label.
7) A 45 ft building casts a 27 ft shadow. How tall is a pole with a 21 ft shadow?
8) A man buys a $58 jacket with a 6% tax. What is the tax? And what is his total cost?
IV. Probability. Suppose one marble is
drawn randomly from the box at the right. Find:
9) P(black) =
10) P(white) =
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
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Suppose that two marbles are drawn from the box above. If the first tile is not replaced before the
second is drawn. Find:
11) P(white, white) =
12) P(white, black) =
Sam Reheard, DC ‘99
Math Quiz A
Name __________________________________
I. Definitions. Write a mathematical definition.
2) combination
II. Permutations, Combinations & Counting Principle. Write what kind of question (P, C, or CP)
each problem is on the line provided. Then solve. Show your work. Box your answer. (2 points each)
________ 3) In how many ways can a president, a vice president, and a treasurer be chosen from a
group of nine people running for office?
_____  _____  _____ = _____
________ 5) Pants for a uniform come in three sizes: small, medium, and large. They also come in two
colors: gray and black. How many different pants are there?
_____  _____ = _____
size
color
________ 6) Chanee wants to invite six friends to her house, but her mom says that she can only invite
four friends. How many different groups of seven friends could she invite?
_____  _____  _____  _____ = _____
III. Proportions and Percent. Answer. Show your work. Label.
7) A 45 ft building casts a 27 ft shadow. How tall is a pole with a 21 ft shadow?
real = _______ = _______
shadow
8) A man buys a $58 jacket with a 6% tax. What is the tax? AND what is his total cost?
_______ = _______
100
tax =
total cost =
IV. Probability. Suppose one marble is
drawn randomly from the box at the right. Find:
9) P(black) = _____
Suppose that two marbles are drawn from the box above.
If the first tile is not replaced before the second is drawn. Find:
11) P(white, white) = _____  _____ = _____




