MATH 4109 Kim Harris - Test 2 Study
Guide 2025/2026 Exam Questions
Marking Scheme New Update | A+ Rated
True or False: The Chinese numeration system that requred the use of a
counting board and rods was not a positional system. - 🧠ANSWER
✔✔False
Why is the book Nine Chapters on the Mathematical Art significant in the
history of mathematics? - 🧠ANSWER ✔✔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? - 🧠ANSWER ✔✔Alternating the
orientation of the rods.
Why did Chinese mathematics develop independently of Western cultural
influence for so long? - 🧠ANSWER ✔✔The geography isolated the region
from the rest of the world.
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
1
, 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? - 🧠ANSWER ✔✔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)
? - 🧠ANSWER ✔✔100a + 10b + c
Which set of numbers was used on the counting boards of the ancient
Chinese? - 🧠ANSWER ✔✔Integers -- both positive and negative
The method that Liu Hui used to approximate the value of π was similar to
the method used by which Greek mathematician? - 🧠ANSWER
✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development
of mathematics in which country? - 🧠ANSWER ✔✔China
How was ancient Chinese mathematics different from ancient Greek
mathematics? - 🧠ANSWER ✔✔The Chinese mathematics did not have a
proof-based axiomatic development.
In what area did the mathematician, Al-Uqlidisi, make his contributions? -
🧠ANSWER ✔✔Decimal fractions
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
2
Guide 2025/2026 Exam Questions
Marking Scheme New Update | A+ Rated
True or False: The Chinese numeration system that requred the use of a
counting board and rods was not a positional system. - 🧠ANSWER
✔✔False
Why is the book Nine Chapters on the Mathematical Art significant in the
history of mathematics? - 🧠ANSWER ✔✔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? - 🧠ANSWER ✔✔Alternating the
orientation of the rods.
Why did Chinese mathematics develop independently of Western cultural
influence for so long? - 🧠ANSWER ✔✔The geography isolated the region
from the rest of the world.
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
1
, 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? - 🧠ANSWER ✔✔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)
? - 🧠ANSWER ✔✔100a + 10b + c
Which set of numbers was used on the counting boards of the ancient
Chinese? - 🧠ANSWER ✔✔Integers -- both positive and negative
The method that Liu Hui used to approximate the value of π was similar to
the method used by which Greek mathematician? - 🧠ANSWER
✔✔Archimedes
The Nine Chapters on the Mathematical Art was central to the development
of mathematics in which country? - 🧠ANSWER ✔✔China
How was ancient Chinese mathematics different from ancient Greek
mathematics? - 🧠ANSWER ✔✔The Chinese mathematics did not have a
proof-based axiomatic development.
In what area did the mathematician, Al-Uqlidisi, make his contributions? -
🧠ANSWER ✔✔Decimal fractions
COPYRIGHT©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
STATEMENT. ALL RIGHTS RESERVED
2
