MATH 4109 Kim Harris - Test 2 Study
Guide Exam 2025 Questions and
Answers 100% Pass
True or False: The Chinese numeration system that requred the use of a counting board
and rods was not a positional system. - ✔✔False
Why is the book Nine Chapters on the Mathematical Art significant in the history of
mathematics? - ✔✔It is central to Chinese mathematical activity for hundreds of years.
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods.
Why did Chinese mathematics develop independently of Western cultural influence for
so long? - ✔✔The geography isolated the region from the rest of the world.
We have used the word "gnomon" in several places during this course, particularly
during the module on ancient Chinese mathematics. What letter of the alphabet is a
gnomon shaped like? - ✔✔L
Chinese Square Root Algorithm: If a, b, and c are the digits (respectively) of the square
root of x, then which of the following is equal to square root(x) ? - ✔✔100a + 10b + c
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both positive and negative
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, The method that Liu Hui used to approximate the value of π was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
What was the FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic
To what did "al-Jabr" and "al-Muqabala" refer in the title of al-Khwarizmi's book? -
✔✔The operations used during the Islamic Empire to solve equations.
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving equations
The mathematician, al-Khwarizmi, used a symbol for zero in his book about
numeration. - ✔✔True
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
During the period of the Islamic Empire, negative numbers were acceptable solutions of
quadratic equations. - ✔✔False
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
Guide Exam 2025 Questions and
Answers 100% Pass
True or False: The Chinese numeration system that requred the use of a counting board
and rods was not a positional system. - ✔✔False
Why is the book Nine Chapters on the Mathematical Art significant in the history of
mathematics? - ✔✔It is central to Chinese mathematical activity for hundreds of years.
What strategy did the Chinese use on their counting boards to avoid confusion between
consecutive places? - ✔✔Alternating the orientation of the rods.
Why did Chinese mathematics develop independently of Western cultural influence for
so long? - ✔✔The geography isolated the region from the rest of the world.
We have used the word "gnomon" in several places during this course, particularly
during the module on ancient Chinese mathematics. What letter of the alphabet is a
gnomon shaped like? - ✔✔L
Chinese Square Root Algorithm: If a, b, and c are the digits (respectively) of the square
root of x, then which of the following is equal to square root(x) ? - ✔✔100a + 10b + c
Which set of numbers was used on the counting boards of the ancient Chinese? -
✔✔Integers -- both positive and negative
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 1
, The method that Liu Hui used to approximate the value of π was similar to the method
used by which Greek mathematician? - ✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development of
mathematics in which country? - ✔✔China
How was ancient Chinese mathematics different from ancient Greek mathematics? -
✔✔The Chinese mathematics did not have a proof-based axiomatic development.
In what area did the mathematician, Al-Uqlidisi, make his contributions? - ✔✔Decimal
fractions
What was the FIRST "translation movement?" - ✔✔The movement to translate the
world's knowledge into Arabic
To what did "al-Jabr" and "al-Muqabala" refer in the title of al-Khwarizmi's book? -
✔✔The operations used during the Islamic Empire to solve equations.
What was the significance of The Book on Addition and Subtraction? - ✔✔It explained
the use of the Hindu decimal system of numerals.
The Islamic mathematician, al-Khwarizmi, made his most significant contributions to
which topic in mathematics? - ✔✔Solving equations
The mathematician, al-Khwarizmi, used a symbol for zero in his book about
numeration. - ✔✔True
Which city was the academic and intellectual center of the Islamic Empire and the home
to the House of Wisdom? - ✔✔Baghdad
Which mathematician/poet used geometric methods to solve cubic equations? -
✔✔Omar Khayyam
During the period of the Islamic Empire, negative numbers were acceptable solutions of
quadratic equations. - ✔✔False
COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED 2
