HSA4109 EXAM 2 RELIABLE QUESTIONS WITH SOLUTIONS
2025 GRADED A+
✔✔What was the source of most of the mathematics in Fibonacci's work? - ✔✔The
procedures and concepts of tenth-century Islamic mathematics.
✔✔What is the most famous problem in Liber Abaci? - ✔✔the rabbit problem
✔✔What role did the Islamic Empire play in the preservation of Greek knowledge? -
✔✔They preserved Greek knowledge by translating Greek works into Arabic.
✔✔Which equation defines the golden ratio, b/a? - ✔✔b/a = (a+b)/b
✔✔What is the 6th number in the Fibonacci sequence? Be careful about this one. I am
asking about the Fibonacci sequence as we know it today -- not the way that Fibonacci
presented it in his book. - ✔✔8
✔✔Who was the greatest European mathematician of the 11th and 12th centuries? -
✔✔Leonardo of Pisa
✔✔The Mathematical Classic of Master Sun is an important work from which country or
empire? - ✔✔China
✔✔Who was the Indian mathematician who introduced negative numbers and the rules
for computing with them? - ✔✔Brahmagupta
✔✔11) What were the primary contents of the book, Ars Magna? - ✔✔The solution of
cubic and quartic equations.
✔✔Which book is considered the first book devoted entirely to algebra? -
✔✔Arithmetica
✔✔What is "syncopated" algebra? - ✔✔Shorthand way of writing algebraic expressions
using abbreviations
✔✔What was Viete's contribution to the development of the modern symbolism of
algebra? - ✔✔He used letters to represent unknown quantities.
✔✔Bombelli wrote "It was a wild thought in the judgment of many; and I too for a long
time was of the same opinion." Bombelli was referring to what set of numbers? -
✔✔Imaginary numbers
, ✔✔What strategy did Girolamo Cardano use to solve cubic equations? - ✔✔With a
particular substitution, he transformed the cubic equation into a quadratic equation
which he did know how to solve.
✔✔In which stage of algebraic development did Diophantus make contributions? -
✔✔Syncopated
✔✔Which mathematician used the letters at the end of the alphabet to represent
unknown quantities and the letters at the beginning of the alphabet to represent known
quantities or constants? - ✔✔Rene Descartes
✔✔Who is sometimes called the "father of algebra?" - ✔✔Diophantus
✔✔Who is the father of English cryptography? - ✔✔John Wallis
✔✔12) what is the heavenly body that is at the center of the Copernican model of the
universe? - ✔✔the sun
✔✔In the Ptolemaic model of the universe, the equant is the center of the epicycle that
moves around the earth. - ✔✔false
✔✔The Ptolemaic model of the universe is a heliocentric model. - ✔✔false
✔✔Who wrote the mathematical text, Almagest? - ✔✔ptolemy
✔✔What is a chord of a circle? - ✔✔A line segment that intersects a circle in two points.
✔✔What is the base in common logarithms? - ✔✔10
✔✔According to one of the principles in the Copernican model, what is at the center of
the moon's orbit? - ✔✔the earth
✔✔For what operation did John Napier use Napier's bones (or Napier's rods)? -
✔✔multiplication
✔✔Why did John Napier invent logarithms? - ✔✔To make computation with large
numbers less tedious.
✔✔Besides mathematics and astronomy, in which other branch of science did Ptolemy
make significant contributions? - ✔✔geography
✔✔13) How were Descartes' and Fermat's coordinate systems different from ours
today? - ✔✔They never referred to a vertical axis.
2025 GRADED A+
✔✔What was the source of most of the mathematics in Fibonacci's work? - ✔✔The
procedures and concepts of tenth-century Islamic mathematics.
✔✔What is the most famous problem in Liber Abaci? - ✔✔the rabbit problem
✔✔What role did the Islamic Empire play in the preservation of Greek knowledge? -
✔✔They preserved Greek knowledge by translating Greek works into Arabic.
✔✔Which equation defines the golden ratio, b/a? - ✔✔b/a = (a+b)/b
✔✔What is the 6th number in the Fibonacci sequence? Be careful about this one. I am
asking about the Fibonacci sequence as we know it today -- not the way that Fibonacci
presented it in his book. - ✔✔8
✔✔Who was the greatest European mathematician of the 11th and 12th centuries? -
✔✔Leonardo of Pisa
✔✔The Mathematical Classic of Master Sun is an important work from which country or
empire? - ✔✔China
✔✔Who was the Indian mathematician who introduced negative numbers and the rules
for computing with them? - ✔✔Brahmagupta
✔✔11) What were the primary contents of the book, Ars Magna? - ✔✔The solution of
cubic and quartic equations.
✔✔Which book is considered the first book devoted entirely to algebra? -
✔✔Arithmetica
✔✔What is "syncopated" algebra? - ✔✔Shorthand way of writing algebraic expressions
using abbreviations
✔✔What was Viete's contribution to the development of the modern symbolism of
algebra? - ✔✔He used letters to represent unknown quantities.
✔✔Bombelli wrote "It was a wild thought in the judgment of many; and I too for a long
time was of the same opinion." Bombelli was referring to what set of numbers? -
✔✔Imaginary numbers
, ✔✔What strategy did Girolamo Cardano use to solve cubic equations? - ✔✔With a
particular substitution, he transformed the cubic equation into a quadratic equation
which he did know how to solve.
✔✔In which stage of algebraic development did Diophantus make contributions? -
✔✔Syncopated
✔✔Which mathematician used the letters at the end of the alphabet to represent
unknown quantities and the letters at the beginning of the alphabet to represent known
quantities or constants? - ✔✔Rene Descartes
✔✔Who is sometimes called the "father of algebra?" - ✔✔Diophantus
✔✔Who is the father of English cryptography? - ✔✔John Wallis
✔✔12) what is the heavenly body that is at the center of the Copernican model of the
universe? - ✔✔the sun
✔✔In the Ptolemaic model of the universe, the equant is the center of the epicycle that
moves around the earth. - ✔✔false
✔✔The Ptolemaic model of the universe is a heliocentric model. - ✔✔false
✔✔Who wrote the mathematical text, Almagest? - ✔✔ptolemy
✔✔What is a chord of a circle? - ✔✔A line segment that intersects a circle in two points.
✔✔What is the base in common logarithms? - ✔✔10
✔✔According to one of the principles in the Copernican model, what is at the center of
the moon's orbit? - ✔✔the earth
✔✔For what operation did John Napier use Napier's bones (or Napier's rods)? -
✔✔multiplication
✔✔Why did John Napier invent logarithms? - ✔✔To make computation with large
numbers less tedious.
✔✔Besides mathematics and astronomy, in which other branch of science did Ptolemy
make significant contributions? - ✔✔geography
✔✔13) How were Descartes' and Fermat's coordinate systems different from ours
today? - ✔✔They never referred to a vertical axis.
