, TESTBANK FOR Mathematical Excursions 5th Edition Aufmann
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, Mathematical Excursions 5E (Aufmann) – Test Bank
Chapter 1: Problem Solving
Section 1.1 - Inductive and Deductive Reasoning
1. Which two numbers should come next in the sequence? 20, 23, 26, 29, ...
a. 35, 38
b. 31, 34
✓ c. 32, 35
d. 31, 28
2. Find the sixth term in the pattern. 2, 2, 4, 6, 10, ...
a. 60
b. 15
c. 14
✓ d. 16
3. What is the missing number in the sequence below? [image] , 1, [image] , ? , [image] , ...
Answer: 2
4. Use inductive reasoning to predict the most probable next number in the given list. 81, 256,
625, 1296, ?
a. 7776
✓ b. 2401
c. 1967
d. 16807
e. 1921
5. Use inductive reasoning to predict the most probable next number in the given list. 10, 19,
15, 24, 20, 29, ?
a. 38
b. 49
c. 21
d. 12
✓ e. 25
6. Use inductive reasoning to decide whether the conclusion for the following argument is
correct. Pick any counting number. Multiply the number by 6. Subtract 3 from the product.
Divide the difference by the sum of the original number and 4. The resulting number is 6.
a. The conclusion is correct.
✓ b. The conclusion is incorrect.
, c. There is not enough information to determine the validity of the conclusion.
7. Use the data in the table and inductive reasoning to answer the question. Cube edge length
Weight of water inside cube (water fills entire cube) 1 cm 2 cm 3 cm 4 cm 1 g 8 g 27 g 64 g If a
cube is filled with water and the weight of the water is 512 grams, what is the edge length of
the cube?
a. 171
b. 64
✓ c. 8
d. 7
8. Use inductive reasoning to help complete the table. Round your answers to two decimal
places, if necessary. Number of sides of a regular polygon 4 5 6 7 8 17 Interior angle measure
90 108 120 128.57
a. 140, 158.82
b. 135, 382.5
✓ c. 135, 158.82
d. 140, 382.5
9. Which is a valid conclusion based on the following information? An equilateral triangle has
three congruent sides. Given: ∆ ABC is equilateral.
a. ∠ ABC has a measure between 0 ° and 30 ° .
b. [image] and [image] are collinear.
c. B is the midpoint of [image] .
✓ d. ∆ ABC has three congruent sides.
10. Alisa reads in a geometry book that two intersecting lines will lie in the same plane. Which
statement is correct about the conclusion Alisa can make?
a. She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will not lie
in the same plane.
✓ b. She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will lie
in the same plane.
c. She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will lie in
the same plane.
d. She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will not
lie in the same plane.
11. Use the pattern to make a conjecture. Then, use the conjecture to find the next product. 2 ·
8 = 16 22 · 8 = 176 222 · 8 = 1,776 2,222 · 8 = 17,776
a. The product of a number consisting of ( n – 1) 2s and 8 consists of 1 , ( n – 1) 7s and 6 . The next
product is 177,776.
b. The product of a number consisting of n 2s and 8 consists of 1, n 7s and 6. The next product is 17,776.
c. The product of a number consisting of ( n – 1) 2s and 8 consists of 7 , n 7s and 6 . The next product is
17,776 .
✓ d. The product of a number consisting of n 2s and 8 consists of 1 , ( n – 1) 7s and 6 . The next product is
177,776 .
,12. Find a counterexample to show that [image] \frac1{\text{8}x}}" class="equation_image" />
is a false statement.
a. choose x = 8
b. choose x = 1
c. choose x = 5
✓ d. choose [image]
e. choose [image]
13. Find a counterexample to show that [image] is a false statement.
a. choose x = 6
b. choose x = 1
c. choose x = –19
d. choose x = –6
✓ e. choose x = 19
14. Which choice gives an example that supports the conjecture, and a counterexample
respectively, that shows the conjecture is false? For any real number n , [image] .
a. [image] , but [image]
b. [image] , but [image]
c. [image] , but [image]
✓ d. [image] , but [image]
15. Use deductive reasoning to determine the number that will always be produced from the
following procedure. Pick a number. Add 6 to the number and multiply the sum by 3. Subtract
2 and then decrease this difference by 3 times the original number.
a. Let n be the original number. n + 6 (add 6) n + 18 (multiply by 3) n + 16 (subtract 2) n + 16 – 3 · n
(decrease by 3 times original number) 13 (final number)
b. Let n be the original number. n + 6 (add 6 ) 3 · n + 18 (multiply by 3 ) 1 · n + 16 (subtract 2 ) 1 · n + 16 – 3
· n (decrease by 3 times original number) 14 (final number)
✓ c. Let n be the original number. n + 6 (add 6 ) 3 · n + 18 (multiply by 3 ) 3 · n + 16 (subtract 2) 3 · n + 16 –
3 · n (decrease by 3 times original number) 16 (final number)
d. Let n be the original number. 6 · n (add 6 ) 18 · n (multiply by 3 ) 16 · n (subtract 2 ) 16 · n – 3 · n
(decrease by 3 times original number) 13 · n (final number)
e. Let n be the original number. n + 6 · n (add 6 ) 3 · n + 18 · n (multiply by 3 ) 3 · n + 16 · n (subtract 2 ) 3 ·
n + 16 · n – 3 · n (decrease by 3 times original number) 16 · n (final number)
16. A number is divisible by 6 if the sum of the digits of the number is divisible by 3 and the
number is even. Which statement is correct about the conclusion that can be made?
✓ a. Deductive reasoning can be used to determine that 156,090 is divisible by 6.
b. Inductive reasoning can be used to determine that 156,090 is not divisible by 6.
c. Inductive reasoning can be used to determine that 156,090 is divisible by 6.
d. Deductive reasoning can be used to determine that 156,090 is not divisible by 6.
17. Three boys are in three different rooms. Ernest always tells the truth. Barry sometimes
tells the truth. Mario never tells the truth. Use the statements made by the person in each
room to tell who is in each of the rooms. Room 1 Room 2 Room 3 The guy in Room 2 is Mario.
,I’m Barry. The guy in Room 2 is Ernest.
a. Room 1 - Mario; Room 2 - Barry; Room 3 - Ernest
✓ b. Room 1 - Ernest; Room 2 - Mario; Room 3 - Barry
c. Room 1 - Barry; Room 2 - Ernest; Room 3 - Mario
d. Room 1 - Mario; Room 2 - Ernest; Room 3 - Barry
18. Use inductive reasoning to predict the most probable next letter in the list. . . . , H, I, M, N,
R, S, . . .
Answer: W
19. All octagons have exactly eight sides. Figure A is an octagon. Therefore, Figure A has
exactly eight sides. Determine whether this argument is an example of inductive reasoning or
deductive reasoning.
a. The argument reaches a conclusion based on specific examples, so it is an example of inductive
reasoning.
✓ b. The conclusion is a specific case of a general assumption, so it is an example of deductive reasoning.
c. The argument observes patterns across many octagons and draws a general conclusion, so it is an
example of inductive reasoning.
d. The conclusion is a general rule derived from specific observations, so it is an example of deductive
reasoning.
e. The argument is based on probability and past observations of figures, so it is an example of inductive
reasoning.
20. Calvin, Joe, Glen, and Alwin recently registered to attend a "Clutch and Caffeine"
professional networking program. The four attendees hold different positions - Doctor,
Engineer, Manager, and Director. Using the following clues, determine which position each
person holds. 1. Glen earns more than the Doctor but less than the Director. 2. Calvin and the
Engineer are the same age, and they are the youngest members of the group. 3. Joe and the
Engineer are brothers. 4. Glen is not the Engineer. Which of the following correctly matches
each person to their position?
a. Calvin – Engineer, Joe – Doctor, Glen – Director, Alwin – Manager
b. Calvin – Engineer, Joe – Manager, Glen – Doctor, Alwin – Director
✓ c. Calvin – Doctor, Joe – Director, Glen – Manager, Alwin – Engineer
d. Calvin – Manager, Joe – Engineer, Glen – Director, Alwin – Doctor
e. Calvin – Director, Joe – Engineer, Glen – Doctor, Alwin – Manager
21. Each of four colleagues, Marcus, Diana, Leo, and Priya, has a different job role (Designer,
Accountant, Developer, or Analyst). Using the following clues, determine the job role of each
colleague. 1. Marcus arrives at the office after the Accountant but before the Analyst. 2. Priya,
who is the last to arrive at the office, is not the Designer. 3. The Analyst and Priya start their
shift at the same time. 4. The Accountant lives next door to Leo. 5. Marcus is not the Designer.
Which of the following correctly matches each colleague to their job role?
a. Marcus – Accountant , Diana – Designer , Leo – Analyst , Priya – Developer
✓ b. Marcus – Developer, Diana – Accountant , Leo – Designer , Priya – Analyst
c. Marcus – Designer , Diana – Accountant , Leo – Developer , Priya – Analyst
d. Marcus – Analyst , Diana – Developer , Leo – Accountant , Priya – Designer
, e. Marcus – Developer , Diana – Designer , Leo – Accountant , Priya – Analyst
Section 1.2 - Estimation and Graphs
1. The fuel efficiency of a motorcycle is 53 kilometers per liter . About how many liters of fuel
are required for a trip of 366 kilometers? (To estimate, round to the nearest convenient
numbers.)
a. Approximately 8 liters
b. Approximately 6 liters
✓ c. Approximately 7 liters
d. Approximately 9 liters
e. Approximately 5 liters
2. A school teacher wants to take a class of 47 students on a picnic. If the teacher estimates
the average spending per student on food and drinks at $6.75, what is the approximate total
cost of the picnic? (To estimate, round to the nearest convenient numbers.)
a. The approximate cost is $320.
b. The approximate cost is $ 329 .
✓ c. The approximate cost is $350.
d. The approximate cost is $ 365 .
e. The approximate cost is $ 450 .
3. The broken-line graph shows the closing price of one barrel of crude oil (in dollars) at the
end of each year for selected years. [image] For the years shown, was the price of one barrel
of crude oil ever more than $80? Did the price of one barrel of crude oil increase or decrease
between 2017 and 2018 ?
✓ a. Yes, the price was more than $80 in 2015, and between 2017 and 2018, it decreased.
b. Yes, the price was more than $80 in 2015, and between 2017 and 2018, it increased.
c. No, the price was never more than $80, and between 2017 and 2018, the price decreased.
d. No, the price was never more than $80, and between 2017 and 2018, the price increased.
4. The circle graph shows the distribution of students' favorite sports. [image] Which sport did
students like the most, and which did they like the least?
✓ a. Students liked soccer the most and volleyball the least.
b. Students liked volleyball the most and soccer the least.
c. Students liked soccer the most and rugby the least.
d. Students liked rugby the most and soccer the least.
Section 1.3 - Problem Solving with Patterns
1. Construct a differenc e table to predict the next term of the sequence 8, 28, 60, 104, 160, ...
a. 52
b. 12
c. 264
, d. 216
✓ e. 228
2. Construct a difference table to predict the next term of the sequence. –50, –68, –78, –80,
–74, –60, ...
a. –28
✓ b. –38
c. –154
d. –68
e. 8
3. Compute the first five terms of the sequence with n th term formula given by a n = 9 n 3 – 7
n 2 (Assume that n begins with 1.)
✓ a. 2, 44, 180, 464, 950
b. 2, 4, 8, 16, 32
c. 2, 4, 6, 8, 10
d. 6, 12, 24, 48, 96
e. 2, 44, 86, 128, 170
4. Write the first five terms of the sequence. (Assume that n begins with 1.) a n = 7 n - 5
a. 12, 19, 26, 33, 40
b. –5, 2, 9, 16, 23
c. 2, 14, 21, 28, 35
✓ d. 2, 9, 16, 23, 30
e. 2, –3, –8, –13, –18
5. Find the indicated term of the sequence whose n th term is given by the formula. [image] ; a
4?
a. [image]
✓ b. [image]
c. 4
d. [image]
6. Find the indicated term of the sequence whose n th term is given by the formula. [image] ; a
3?
a. 3
✓ b. 1
c. [image]
d. [image]
7. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 + 1
b. a n = 3 n
c. a n = n + 2
, ✓ d. a n = n 2 + 2 n
e. a n = 3 n – 1
8. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 + 1
b. a n = 2 n
c. a n = n + 1
✓ d. a n = 3 n – 1
e. a n = 2 n – 1
9. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 – 1
b. a n = 2 n
c. a n = n + 1
✓ d. a n = n 2 + 1
e. a n = 2 n – 1
10. Determine the n th term formula for the number of square tiles that will be in the n th
figure. [image]
a. a n = n 2 + 1
b. a n = 3 n
c. a n = n + 1
✓ d. a n = 2 n
e. a n = 3 n – 1
11. Find the first five terms of the sequence. a 0 = 5 a 1 = –2 a n = – 4 a n – 1 – 2 a n – 2
a. 5, –2, 17, –46, 192
b. 5 , –2, 10, –56, 176
c. 5 , –2 , 19, –57, 185
✓ d. 5, –2, –2, 12, –44
12. Find the first 6 terms of a sequence defined by a n = a n – 1 + a n – 2 , [image] , if the 7th
and 8th terms are 50 and 83.
a. 2, 6, 7, 13, 19, 32
✓ b. –14, 15, 1, 16, 17, 33
c. 1314, 815, 499, 316, 183, 133
d. 1, 4, 8, 11, 20, 30
13. One method for finding the golden ratio, believed by the ancient Greeks to be the most
pleasing to the human eye, is to follow these steps: Step 1: Write the first 10 terms of a
sequence defined by a 1 = 2, a 2 = 5, and a n = a n – 1 + a n – 2, [image] . Step 2: Divide each
term in the sequence by the term before it. As the terms increase, their ratios approach the
golden ratio. Find the 10th term of this sequence and the golden ratio to the nearest
thousandth.
, a. 38, 1.621
✓ b. 212, 1.618
c. 133 , 1.621
d. 133 , 1.618
14. The n th term formula [image] generates 2, 4, 6, 8, 15 for n = 1, 2, 3, 4, 5. Make minor
changes to the above formula to produce an n th term formula that will generate the sequence
2, 4, 6, 8, 30.
a. [image]
b. [image]
✓ c. [image]
d. [image]
e. [image]
Section 1.4 - Problem-Solving Strategies
1. If two ladders are placed end to end, their combined height is 42.5 feet. One ladder is 2.5
feet shorter than the other ladder. What are the heights of the two ladders?
✓ a. 20 feet and 22.5 feet
b. 21.25 feet and 23.75 feet
c. 22.5 feet and 25 feet
d. 20 feet and 17.5 feet
e. 42.5 feet and 40 feet
2. What is the 17th decimal digit in the decimal representation of [image] ? [image]
a. 1
✓ b. 8
c. 9
d. 2
e. 5
3. Using the map below, determine the number of direct routes (no backtracking) from point A
to point B if you want to pass by point H. [image]
a. 6
b. 9
c. 8
✓ d. 7
e. 10
4. Morris Mouse can easily find his way through the maze from the entrance A to the exit B.
However, he only receives food if he finds the exit without going west or south. (North is
towards the top of the page.) How many different paths can he take through the maze to
receive food? (Note: Different paths have at least one distinct section. See the diagram for an
example.) [image]
✓ a. 252
Important Notes
The file includes the complete test bank, organized chapter by chapter.
A sample of selected pages has been provided for preview.
All available appendices and Excel files (if included in the original resources) are
provided.
We continuously update our files to ensure you receive the latest and most accurate
editions.
New editions are added regularly – stay connected for updates!
⚠️Note on Answer Keys: If the answer key is not included within the chapter
questions, you will find the complete answers and solutions at the end of each
chapter.
✅ Why Buy From Us?
📚 Complete & organized chapter-by-chapter – no missing content, no guessing.
⚡ Instant digital delivery – get your file the moment you pay, no waiting.
📅 Always up to date – we track new editions so you always get the latest version.
💬 Friendly support – real humans ready to help, anytime you need us.
🔒 Safe & secure – thousands of satisfied students trust us every semester.
🛡️Our Guarantees
💰 Money-Back Guarantee: Not satisfied? We offer a full refund – no questions asked.
🔄 Wrong File? No Problem: Contact us and we will replace it immediately with the
correct version, free of charge.
⏰ 24/7 Support: We are always here – reach out anytime and expect a fast response.
Contact Email:
, Mathematical Excursions 5E (Aufmann) – Test Bank
Chapter 1: Problem Solving
Section 1.1 - Inductive and Deductive Reasoning
1. Which two numbers should come next in the sequence? 20, 23, 26, 29, ...
a. 35, 38
b. 31, 34
✓ c. 32, 35
d. 31, 28
2. Find the sixth term in the pattern. 2, 2, 4, 6, 10, ...
a. 60
b. 15
c. 14
✓ d. 16
3. What is the missing number in the sequence below? [image] , 1, [image] , ? , [image] , ...
Answer: 2
4. Use inductive reasoning to predict the most probable next number in the given list. 81, 256,
625, 1296, ?
a. 7776
✓ b. 2401
c. 1967
d. 16807
e. 1921
5. Use inductive reasoning to predict the most probable next number in the given list. 10, 19,
15, 24, 20, 29, ?
a. 38
b. 49
c. 21
d. 12
✓ e. 25
6. Use inductive reasoning to decide whether the conclusion for the following argument is
correct. Pick any counting number. Multiply the number by 6. Subtract 3 from the product.
Divide the difference by the sum of the original number and 4. The resulting number is 6.
a. The conclusion is correct.
✓ b. The conclusion is incorrect.
, c. There is not enough information to determine the validity of the conclusion.
7. Use the data in the table and inductive reasoning to answer the question. Cube edge length
Weight of water inside cube (water fills entire cube) 1 cm 2 cm 3 cm 4 cm 1 g 8 g 27 g 64 g If a
cube is filled with water and the weight of the water is 512 grams, what is the edge length of
the cube?
a. 171
b. 64
✓ c. 8
d. 7
8. Use inductive reasoning to help complete the table. Round your answers to two decimal
places, if necessary. Number of sides of a regular polygon 4 5 6 7 8 17 Interior angle measure
90 108 120 128.57
a. 140, 158.82
b. 135, 382.5
✓ c. 135, 158.82
d. 140, 382.5
9. Which is a valid conclusion based on the following information? An equilateral triangle has
three congruent sides. Given: ∆ ABC is equilateral.
a. ∠ ABC has a measure between 0 ° and 30 ° .
b. [image] and [image] are collinear.
c. B is the midpoint of [image] .
✓ d. ∆ ABC has three congruent sides.
10. Alisa reads in a geometry book that two intersecting lines will lie in the same plane. Which
statement is correct about the conclusion Alisa can make?
a. She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will not lie
in the same plane.
✓ b. She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will lie
in the same plane.
c. She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will lie in
the same plane.
d. She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will not
lie in the same plane.
11. Use the pattern to make a conjecture. Then, use the conjecture to find the next product. 2 ·
8 = 16 22 · 8 = 176 222 · 8 = 1,776 2,222 · 8 = 17,776
a. The product of a number consisting of ( n – 1) 2s and 8 consists of 1 , ( n – 1) 7s and 6 . The next
product is 177,776.
b. The product of a number consisting of n 2s and 8 consists of 1, n 7s and 6. The next product is 17,776.
c. The product of a number consisting of ( n – 1) 2s and 8 consists of 7 , n 7s and 6 . The next product is
17,776 .
✓ d. The product of a number consisting of n 2s and 8 consists of 1 , ( n – 1) 7s and 6 . The next product is
177,776 .
,12. Find a counterexample to show that [image] \frac1{\text{8}x}}" class="equation_image" />
is a false statement.
a. choose x = 8
b. choose x = 1
c. choose x = 5
✓ d. choose [image]
e. choose [image]
13. Find a counterexample to show that [image] is a false statement.
a. choose x = 6
b. choose x = 1
c. choose x = –19
d. choose x = –6
✓ e. choose x = 19
14. Which choice gives an example that supports the conjecture, and a counterexample
respectively, that shows the conjecture is false? For any real number n , [image] .
a. [image] , but [image]
b. [image] , but [image]
c. [image] , but [image]
✓ d. [image] , but [image]
15. Use deductive reasoning to determine the number that will always be produced from the
following procedure. Pick a number. Add 6 to the number and multiply the sum by 3. Subtract
2 and then decrease this difference by 3 times the original number.
a. Let n be the original number. n + 6 (add 6) n + 18 (multiply by 3) n + 16 (subtract 2) n + 16 – 3 · n
(decrease by 3 times original number) 13 (final number)
b. Let n be the original number. n + 6 (add 6 ) 3 · n + 18 (multiply by 3 ) 1 · n + 16 (subtract 2 ) 1 · n + 16 – 3
· n (decrease by 3 times original number) 14 (final number)
✓ c. Let n be the original number. n + 6 (add 6 ) 3 · n + 18 (multiply by 3 ) 3 · n + 16 (subtract 2) 3 · n + 16 –
3 · n (decrease by 3 times original number) 16 (final number)
d. Let n be the original number. 6 · n (add 6 ) 18 · n (multiply by 3 ) 16 · n (subtract 2 ) 16 · n – 3 · n
(decrease by 3 times original number) 13 · n (final number)
e. Let n be the original number. n + 6 · n (add 6 ) 3 · n + 18 · n (multiply by 3 ) 3 · n + 16 · n (subtract 2 ) 3 ·
n + 16 · n – 3 · n (decrease by 3 times original number) 16 · n (final number)
16. A number is divisible by 6 if the sum of the digits of the number is divisible by 3 and the
number is even. Which statement is correct about the conclusion that can be made?
✓ a. Deductive reasoning can be used to determine that 156,090 is divisible by 6.
b. Inductive reasoning can be used to determine that 156,090 is not divisible by 6.
c. Inductive reasoning can be used to determine that 156,090 is divisible by 6.
d. Deductive reasoning can be used to determine that 156,090 is not divisible by 6.
17. Three boys are in three different rooms. Ernest always tells the truth. Barry sometimes
tells the truth. Mario never tells the truth. Use the statements made by the person in each
room to tell who is in each of the rooms. Room 1 Room 2 Room 3 The guy in Room 2 is Mario.
,I’m Barry. The guy in Room 2 is Ernest.
a. Room 1 - Mario; Room 2 - Barry; Room 3 - Ernest
✓ b. Room 1 - Ernest; Room 2 - Mario; Room 3 - Barry
c. Room 1 - Barry; Room 2 - Ernest; Room 3 - Mario
d. Room 1 - Mario; Room 2 - Ernest; Room 3 - Barry
18. Use inductive reasoning to predict the most probable next letter in the list. . . . , H, I, M, N,
R, S, . . .
Answer: W
19. All octagons have exactly eight sides. Figure A is an octagon. Therefore, Figure A has
exactly eight sides. Determine whether this argument is an example of inductive reasoning or
deductive reasoning.
a. The argument reaches a conclusion based on specific examples, so it is an example of inductive
reasoning.
✓ b. The conclusion is a specific case of a general assumption, so it is an example of deductive reasoning.
c. The argument observes patterns across many octagons and draws a general conclusion, so it is an
example of inductive reasoning.
d. The conclusion is a general rule derived from specific observations, so it is an example of deductive
reasoning.
e. The argument is based on probability and past observations of figures, so it is an example of inductive
reasoning.
20. Calvin, Joe, Glen, and Alwin recently registered to attend a "Clutch and Caffeine"
professional networking program. The four attendees hold different positions - Doctor,
Engineer, Manager, and Director. Using the following clues, determine which position each
person holds. 1. Glen earns more than the Doctor but less than the Director. 2. Calvin and the
Engineer are the same age, and they are the youngest members of the group. 3. Joe and the
Engineer are brothers. 4. Glen is not the Engineer. Which of the following correctly matches
each person to their position?
a. Calvin – Engineer, Joe – Doctor, Glen – Director, Alwin – Manager
b. Calvin – Engineer, Joe – Manager, Glen – Doctor, Alwin – Director
✓ c. Calvin – Doctor, Joe – Director, Glen – Manager, Alwin – Engineer
d. Calvin – Manager, Joe – Engineer, Glen – Director, Alwin – Doctor
e. Calvin – Director, Joe – Engineer, Glen – Doctor, Alwin – Manager
21. Each of four colleagues, Marcus, Diana, Leo, and Priya, has a different job role (Designer,
Accountant, Developer, or Analyst). Using the following clues, determine the job role of each
colleague. 1. Marcus arrives at the office after the Accountant but before the Analyst. 2. Priya,
who is the last to arrive at the office, is not the Designer. 3. The Analyst and Priya start their
shift at the same time. 4. The Accountant lives next door to Leo. 5. Marcus is not the Designer.
Which of the following correctly matches each colleague to their job role?
a. Marcus – Accountant , Diana – Designer , Leo – Analyst , Priya – Developer
✓ b. Marcus – Developer, Diana – Accountant , Leo – Designer , Priya – Analyst
c. Marcus – Designer , Diana – Accountant , Leo – Developer , Priya – Analyst
d. Marcus – Analyst , Diana – Developer , Leo – Accountant , Priya – Designer
, e. Marcus – Developer , Diana – Designer , Leo – Accountant , Priya – Analyst
Section 1.2 - Estimation and Graphs
1. The fuel efficiency of a motorcycle is 53 kilometers per liter . About how many liters of fuel
are required for a trip of 366 kilometers? (To estimate, round to the nearest convenient
numbers.)
a. Approximately 8 liters
b. Approximately 6 liters
✓ c. Approximately 7 liters
d. Approximately 9 liters
e. Approximately 5 liters
2. A school teacher wants to take a class of 47 students on a picnic. If the teacher estimates
the average spending per student on food and drinks at $6.75, what is the approximate total
cost of the picnic? (To estimate, round to the nearest convenient numbers.)
a. The approximate cost is $320.
b. The approximate cost is $ 329 .
✓ c. The approximate cost is $350.
d. The approximate cost is $ 365 .
e. The approximate cost is $ 450 .
3. The broken-line graph shows the closing price of one barrel of crude oil (in dollars) at the
end of each year for selected years. [image] For the years shown, was the price of one barrel
of crude oil ever more than $80? Did the price of one barrel of crude oil increase or decrease
between 2017 and 2018 ?
✓ a. Yes, the price was more than $80 in 2015, and between 2017 and 2018, it decreased.
b. Yes, the price was more than $80 in 2015, and between 2017 and 2018, it increased.
c. No, the price was never more than $80, and between 2017 and 2018, the price decreased.
d. No, the price was never more than $80, and between 2017 and 2018, the price increased.
4. The circle graph shows the distribution of students' favorite sports. [image] Which sport did
students like the most, and which did they like the least?
✓ a. Students liked soccer the most and volleyball the least.
b. Students liked volleyball the most and soccer the least.
c. Students liked soccer the most and rugby the least.
d. Students liked rugby the most and soccer the least.
Section 1.3 - Problem Solving with Patterns
1. Construct a differenc e table to predict the next term of the sequence 8, 28, 60, 104, 160, ...
a. 52
b. 12
c. 264
, d. 216
✓ e. 228
2. Construct a difference table to predict the next term of the sequence. –50, –68, –78, –80,
–74, –60, ...
a. –28
✓ b. –38
c. –154
d. –68
e. 8
3. Compute the first five terms of the sequence with n th term formula given by a n = 9 n 3 – 7
n 2 (Assume that n begins with 1.)
✓ a. 2, 44, 180, 464, 950
b. 2, 4, 8, 16, 32
c. 2, 4, 6, 8, 10
d. 6, 12, 24, 48, 96
e. 2, 44, 86, 128, 170
4. Write the first five terms of the sequence. (Assume that n begins with 1.) a n = 7 n - 5
a. 12, 19, 26, 33, 40
b. –5, 2, 9, 16, 23
c. 2, 14, 21, 28, 35
✓ d. 2, 9, 16, 23, 30
e. 2, –3, –8, –13, –18
5. Find the indicated term of the sequence whose n th term is given by the formula. [image] ; a
4?
a. [image]
✓ b. [image]
c. 4
d. [image]
6. Find the indicated term of the sequence whose n th term is given by the formula. [image] ; a
3?
a. 3
✓ b. 1
c. [image]
d. [image]
7. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 + 1
b. a n = 3 n
c. a n = n + 2
, ✓ d. a n = n 2 + 2 n
e. a n = 3 n – 1
8. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 + 1
b. a n = 2 n
c. a n = n + 1
✓ d. a n = 3 n – 1
e. a n = 2 n – 1
9. Determine the n th term formula for the number of square tiles that will be in the n th figure.
[image]
a. a n = n 2 – 1
b. a n = 2 n
c. a n = n + 1
✓ d. a n = n 2 + 1
e. a n = 2 n – 1
10. Determine the n th term formula for the number of square tiles that will be in the n th
figure. [image]
a. a n = n 2 + 1
b. a n = 3 n
c. a n = n + 1
✓ d. a n = 2 n
e. a n = 3 n – 1
11. Find the first five terms of the sequence. a 0 = 5 a 1 = –2 a n = – 4 a n – 1 – 2 a n – 2
a. 5, –2, 17, –46, 192
b. 5 , –2, 10, –56, 176
c. 5 , –2 , 19, –57, 185
✓ d. 5, –2, –2, 12, –44
12. Find the first 6 terms of a sequence defined by a n = a n – 1 + a n – 2 , [image] , if the 7th
and 8th terms are 50 and 83.
a. 2, 6, 7, 13, 19, 32
✓ b. –14, 15, 1, 16, 17, 33
c. 1314, 815, 499, 316, 183, 133
d. 1, 4, 8, 11, 20, 30
13. One method for finding the golden ratio, believed by the ancient Greeks to be the most
pleasing to the human eye, is to follow these steps: Step 1: Write the first 10 terms of a
sequence defined by a 1 = 2, a 2 = 5, and a n = a n – 1 + a n – 2, [image] . Step 2: Divide each
term in the sequence by the term before it. As the terms increase, their ratios approach the
golden ratio. Find the 10th term of this sequence and the golden ratio to the nearest
thousandth.
, a. 38, 1.621
✓ b. 212, 1.618
c. 133 , 1.621
d. 133 , 1.618
14. The n th term formula [image] generates 2, 4, 6, 8, 15 for n = 1, 2, 3, 4, 5. Make minor
changes to the above formula to produce an n th term formula that will generate the sequence
2, 4, 6, 8, 30.
a. [image]
b. [image]
✓ c. [image]
d. [image]
e. [image]
Section 1.4 - Problem-Solving Strategies
1. If two ladders are placed end to end, their combined height is 42.5 feet. One ladder is 2.5
feet shorter than the other ladder. What are the heights of the two ladders?
✓ a. 20 feet and 22.5 feet
b. 21.25 feet and 23.75 feet
c. 22.5 feet and 25 feet
d. 20 feet and 17.5 feet
e. 42.5 feet and 40 feet
2. What is the 17th decimal digit in the decimal representation of [image] ? [image]
a. 1
✓ b. 8
c. 9
d. 2
e. 5
3. Using the map below, determine the number of direct routes (no backtracking) from point A
to point B if you want to pass by point H. [image]
a. 6
b. 9
c. 8
✓ d. 7
e. 10
4. Morris Mouse can easily find his way through the maze from the entrance A to the exit B.
However, he only receives food if he finds the exit without going west or south. (North is
towards the top of the page.) How many different paths can he take through the maze to
receive food? (Note: Different paths have at least one distinct section. See the diagram for an
example.) [image]
✓ a. 252
