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Discovering Mathematics A Quantitative Reasoning Approach, 2nd Edition by Richard N. Aufmann
Chapter 1-11
chapter 1
Enter the appropriate value to answer the question or solve the problem.
1. What is the missing number in the sequence below?
, , , ? , , ...
2. Use inductive reasoning to predict the most probable next letter in the list. . . . , H, I, M, N, R, S, . . .
3. In a chess tournament, each player played a game in the first round. The losers dropped out. This process continued
until a winner was declared. The winner of the tournament played 12 games. How many people were in the tournament?
Indicate the answer choice that best completes the statement or answers the question.
4. Use deductive reasoning to determine the number that will always be produced from the following procedure. Pick a
number. Add 10 to the number and multiply the sum by 4. Subtract 8 and then decrease this difference by 4 times the
original number.
a. Let n be the original number
(add 10)
(multiply by 4)
(substract 8)
(decrease by 4 times original number)
(final number)
b. Let n be the original number
(add 10)
(multiply by 4)
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,Name: Class: Date:
(substract 8)
(decrease by 4 times original number)
(final number)
c. Let n be the original number
(add 10)
(multiply by 4)
(substract 8)
(decrease by 4 times original number)
(final number)
d. Let n be the original number
(add 10)
(multiply by 4)
(substract 8)
(decrease by 4 times original number)
(final number)
e. Let n be the original number
(add 10)
(multiply by 4)
(substract 8)
(decrease by 4 times original number)
(final number)
5. Look at the pie chart and determine which of the film genres is the least popular?
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,Name: Class: Date:
a. Comedy
b. Fiction
c. Horror
d. Drama
6. The student wants to read a book of 346 pages. How many pages should he read per day to finish the book in a week?
a. 30
b. 40
c. 50
d. 65
7. Suppose 79 points are placed around a circle. A line segment is drawn between each pair of points. How many line
segments are drawn?
a. 6,162
b. 6,241
c. 3,160
d. 79
e. 3,081
8. The four teams (Cheetahs, Ostriches, Antelopes, and Gazelles) took part in a sports tournament. Each team has a
uniform of a certain color (red, yellow, green, and blue). From the following clues, determine which team has which
color.
1. During one of the matches, Gazelles cheered on the yellow team and the green team cheered on Ostriches.
2. Anthelopes won the match against the yellow team.
3. In the match between Ostriches and Cheetahs, the blue team won.
a. Cheetahs – blue, Ostriches – yellow, Antelopes – red, and Gazelles – green
b. Cheetahs – yellow, Ostriches – blue, Antelopes – green, and Gazelles – red
c. Cheetahs – green, Ostriches – blue, Antelopes – yellow, and Gazelles – red
d. Cheetahs – blue, Ostriches – yellow, Antelopes – green, and Gazelles – red
9. Sam, John, and Peter want to rent a house at the seaside for 2 weeks. They chose a house that costs $10 per day. How
much will each of the friends pay?
a. About $35.
b. About $50.
c. About $85.
d. About $70.
10. Find the sixth term in the pattern.
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, Name: Class: Date:
...
a. 40
b. 12
c. 11
d. 13
11. The pie chart shows clothes sales of an online store. Which of the following statements is correct?
a. Trouser sales are the largest.
b. Dress and skirt sales are about the same.
c. Accessory sales are the smallest.
d. All statements are correct.
12. Three sons of a miller must divide a mill, a donkey and a cat. Selling them is not an option for the brothers. Which
methods can they use to divide the inheritance fairly? Assume that all three brothers consider the value of the mill to be
higher than that of the donkey, and the value of the donkey to be higher than that of the cat.
a. Lone Divider–Chooser Method for More than Two Players, Method of Sealed Bids
b. Method of Adjusted Winner, Method of Sealed Bids, Knaster Inheritance Procedure
c. Method of Sealed Bids, Knaster Inheritance Procedure
d. Lone Divider–Chooser Method for More than Two Players, Method of Adjusted Winner, Knaster Inheritance
Procedure
13. Which of the equalities is incorrect?
a.
b.
c.
d. All equalities are correct.
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