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FINAL EXAM IN HISTORY OF MATHEMATICS

Total questions: 80

Worksheet time: 38mins

Name
Class
Date
1.

Where were some of the earliest signs of the beginning of mathematics seen?

a)

America

b)

Europe

c)

Egypt

d)

China

2.

The Eye of Horus had a hint of?

a)

Arithmetic Series

b)

Geometric Series

c)

Harmonic Series

3.

The ancient Babylonians had their number system based on?

a)

10

b)

30

c)

60

d)

40

4.

Which image below shows Babylonian Clay Tablet?

a)
b)
c)
d)
5.

What is this number? (Babylonian numeral system)

a)

16

b)

32

c)

61

d)

111

6.

What is this number? (Babylonian numeral system)

a)

25

b)

82

c)

32

d)

141

7.

Sumerian writing

a)

Cuneiform

b)

Scribes

c)

Hieroglyphics

d)

Phoenician alphabet

8.

Convert these Egyptian hieroglyphs into modern day numbers

a)

267

b)

287

c)

237

d)

337

9.

Egyptian writing?

a)

Cuneiform

b)

Scribe

c)

Hieroglyphics

d)

Phoenician alphabet

10.

It is one of the books authored by Diophantus.

a)

The elements

b)

Arithmetica

c)

Almagest

d)

Palimpsest

11.

How many problems can we see from the books of Diophantus?

a)

151

b)

168

c)

189

d)

205

12.

It is a mathematical proposition that refers to a direct consequence of a proof.

a)

Corollary

b)

Conjecture

c)

Porism

d)

Reduction Ad Absurdum

13.

One of the Diophantus' main contribution was the "syncopation" of algebra means. Syncopation algebra means

a)

The use of algebraic notation

b)

Stenographic abbreviations

c)

Symbolic Algebra

d)

All of the above

14.

The Greek word dumamis means

a)

Power

b)

Add

c)

Subtract

d)

Multiply

15.

It is known as the largest city in the Hellenistic world.

a)

Djibouti

b)

Syracuse

c)

Niger

d)

Morocco

16.

What religion flourished during the twilight of Greek Mathematics?

a)

Hindu

b)

Buddhism

c)

Christianity

d)

Islam

17.

Which story is known as a sad record of short-sighted exploitation?

a)

Story of Athens

b)

Story of Roman Egypt

c)

Story of Greece

d)

Story of Mesopotamia

18.

Who first used negative numbers around 2200 years ago or maybe even earlier?

a)

Egyptian

b)

Hindu

c)

Chinese

d)

Islam

19.

The ancient Babylonians had their number system based on?

a)

50

b)

60

c)

80

d)

100

20.

What was the beginning of math (Mathematics)

a)

The Big Bang

b)

Einstein created

c)

With sticks on walls

d)

Someone was counting with rocks

21.

Who Invented "ZERO"

a)

Europeans

b)

Greeks

c)

Indians

d)

Russians

22.

The Number 1729 is related to a Great Indian Mathematician...

a)

Bhaskara

b)

Varahamihira

c)

Aryabhatta

d)

Srinivasa Ramanujan

23.

What is the title of the first known math textbook?

a)

Rhind Papyrus

b)

Rosetta Stone

c)

Euclid's Elements

d)

Shulba Sutras

24.

In which ancient civilization, odd and even numbers were divided into two sets, the odd ones denoted as males and the even females?

a)

Egyptian

b)

Babylonian

c)

Greece

d)

Chinese

25.

What is the difference between Euclidean geometry and Non-Euclidean geometry?

a)

Euclid's 5th Postulate

b)

Euclid's Elements

c)

The coordinate plane

d)

Euclid's 2nd Postulate

26.

Was a French mathematician, lawyer, and advisor to Kings Henry III and IV of France. He made significant advances in Algebra, and first introduced the use of letters to represent variables.

a)

Joseph-Louis Lagrange (1736 – 1813)

b)

Leonardo da Vinci (1452 – 1519)

c)

Fibonacci (1175 – 1250)

d)

François Viète (1540 – 1603)

27.

Was a Greek mathematician and is often called the father of geometry. He book The Elements first introduced Euclidean geometry, defines its five axioms, and contains many important proofs in geometry and number theory – including that there are infinitely many prime numbers.

a)

Arhimede (c. 287 - 212 î.Hr.)

b)

Euclid of Alexandria (around 300 BCE)

c)

Aristotle (c. 384 – 322 BCE)

d)

Pythagoras of Samos (c. 570 – 495 BCE)

28.

He discovered many concepts of calculus and worked in geometry, analysis and mechanics.

While taking a bath, discovered a way to determine the volume of irregular objects using the amount of water they displaced when submerged. He was so excited by this discovery that he ran out on the street, still undressed, yelling “Eureka!” (Greek for “I have found it!”).

a)

Eratosthenes of Cyrene (c. 276 – 195 BCE)

b)

Fibonacci (1175 – 1250)

c)

Archimedes (c. 287 – 212 BCE)

d)

Galileo Galilei (1564 – 1642)

29.

Was an English physicist, mathematician, and astronomer, and one of the most influential scientists of all time. Was one of the inventors of calculus, built the first reflecting telescope, calculated the speed of sound, studied the motion of fluids, and developed a theory of colour based on how prisms split sunlight into a rainbow-coloured spectrum.

a)

Gottfried Wilhelm Leibniz (1646 – 1716)

b)

Joseph-Louis Lagrange (1736 – 1813)

c)

Joseph Fourier (1768 – 1830)

d)

Sir Isaac Newton (1642 – 1726)

30.

was a French mathematician and philosopher, and one of the key figures in the Scientific Revolution. He is credited with the first use of superscripts for powers or exponents, and the cartesian coordinate system is named after him.

a)

René Descartes (1596 – 1650)

b)

Carl Friedrich Gauss (1777 – 1855)

c)

Augustin-Louis Cauchy (1789 – 1857)

d)

Joseph-Louis Lagrange (1736 – 1813)

31.

Was arguably the greatest mathematician in history. According to legend, he corrected a mistake in his father‘s accounting at the age of 3, and found a way to quickly add up all integers from 1 to 100 at the age of 8.

a)

François Viète (1540 – 1603)

b)

Carl Friedrich Gauss (1777 – 1855)

c)

Fibonacci (1175 – 1250)

d)

Diophantus

32.

Was an Italian mathematician. He is best known for the number sequence named after him: 1, 1, 2, 3, 5, 8, 13, …

a)

Leonardo Pisano, Fibonacci (1175 – 1250)

b)

Leonhard Euler (1707 – 1783)

c)

Johann Lambert (1728 – 1777)

d)

François Viète (1540 – 1603)

33.

Was a Greek philosopher and mathematician. He is best known for proving Pythagoras’ Theorem, but made many other mathematical and scientific discoveries.

a)

Thales of Miletus (c. 624 – 546 BCE)

b)

Eratosthenes of Cyrene (c. 276 – 195 BCE)

c)

Pythagoras of Samos (c. 570 – 495 BCE)

d)

Heron of Alexandria (c. 10 – 70 CE)

34.

Invented much of the modern mathematical terminology and notation, and made important discoveries in calculus, analysis, graph theory, physics, astronomy, and many other topics.

a)

Galileo Galilei (1564 – 1642)

b)

Leonhard Euler (1707 – 1783)

c)

Blaise Pascal (1623 – 1662)

d)

Arthur Cayley (1821 – 1895)

35.

Who is the author of 'Elements' which is often referred as the greatest work of Greek Mathematics?

a)

Euler

b)

Pythagoras

c)

Euclid

d)

Pascal

36.

It is a base-20 form of writing numbers.

a)

Decimal

b)

Sexagesimal

c)

Vigesimal

37.

It is a mathematical proposition that refers to a direct consequence of a proof.

a)

Corollary

b)

Conjecture

c)

Porism

d)

Reduction Ad Absurdum

38.

Who is the father of mathematics?

a)

Archimedes

b)

Rene Descartes

c)

Albert Einstein

d)

Pythagoras

39.

Father of Geometry.

a)

Pythagoras

b)

Archimedes

c)

Euclid

d)

Rene Descartes

40.

In mathematics, it is a triangular array of the binomial coefficients and named after Blaise Pascal.

a)

Blaise Pascal

b)

Archimedes

c)

Pythagoras

d)

Euclid

41.

Father of Algebra.

a)

Blaise Pascal

b)

Al-Khwarizmi

c)

Pythagoras

d)

Euclid

42.

 It is a property of equality which states that "If x=y and y=z, then x=zx=y\ and\ y=z,\ then\ x=z ".

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Associative

43.

 It is a property of equality which states that "If x=yx=y , then  y=x.y=x. "

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Associative

44.

It is a declarative sentence which is true or false but not both.

a)

argument

b)

fallacy

c)

proposition

d)

tautology

45.

It is a proposition which is composed of simple statements that can be decided whether true or false.

a)

argument

b)

fallacy

c)

logical equivalence

d)

simple proposition

46.

It is a proposition which is composed of sub-statements and various logical connectives.

a)

compound proposition

b)

proposition

c)

simple proposition

d)

truth value

47.

Followers of Pythagoras were stunned by the idea of incommensurability. Incommensurability means

a)

the ratio of two non-zero real numbers, a and b, is not rational.

b)

there are infinitely many real numbers.

c)

rational numbers are defined as a over b, where a and b are integers.

d)

none of the above.

48.

Pascal's triangle, which is used to find the coefficients of the powers of a binomial expansion, was first seen in a work written by:

a)

Pascal.

b)

Hypatia.

c)

Archimedes.

d)

Zhu Shijie.

49.

Charles Babbage was the first to work on the idea of a computer. His first one was called the Difference Engine and the second one was called the Analytical Engine. The first person to program these machines was:

a)

Charles Babbage

b)

Ada Byron Lovelace

c)

Blaise Pascal

d)

Isaac Newton

50.

The Fields Medal is often referred to as the Nobel Prize of Mathematics. It is awarded every 4 years to 2, 3, or 4 mathematicians under the age of 40. The first woman to receive the Fields Medal was Maryam Mirzakhani from Stanford University. What year did she receive this award?

a)

1966

b)

1994

c)

2002

d)

2014

51.

'La Géométrie' appendix to ground-breaking philosophical and mathematical treatise 'Discours de la méthode'(the 'Discourse on Method') is related to

a)

George Peacock

b)

René Descartes

c)

Carl Friedrich Gauss

d)

Galileo Galilei

52.

Who referred Mathematics as the 'Queen of Sciences'?

a)

Alan Turing

b)

Carl Friedrich Gauss

c)

David Hilbert

d)

Bernhard Riemann

53.

The conceptual leap of using the Triangle to the solve problems in probability theory was by

a)

Pythagoras

b)

Pascal

c)

Euclid

d)

Euler

54.

Who is known as the 'Prince of Mathematicians'?

a)

George Cantor

b)

Carl Friedrich Gauss

c)

Johannes Kepler

d)

David Hilbert

55.

Jacob Bernoulli is the author of the book

a)

Elements

b)

Principia

c)

The Art of Conjecture

d)

Practica Geometriae

56.

The beginning of an axiomatic approach to geometry can be attributed to which of the following mathematicians?

a)

David Hilbert

b)

Hippocrates

c)

Thales

d)

Plato

57.

Elliptic geometry, a type of non-Euclidean geometry was developed by

a)

George Cantor

b)

Johannes Kepler

c)

Bernhard Riemann

d)

Thomas Bayes

58.
According to the July 2008 report, when is teaching more effective?
a)
At 10am when children are most awake and alert
b)
When using higher order questions
c)
When there is constant assessment
59.

Who said this line, " Not everything that can be counted count, and not everything that counts can be counted" ?

a)

Albert Einstein

b)

Isaac Newton

c)

Pythagoras

60.

2,054 in Roman numeral is written as.....

a)

MMCIV

b)

MMLIV

c)

MMDIV

61.

A square array of numbers, usually positive integers, which sums of the numbers in each row, each column, and both main diagonals are the same.

a)

Magic Square

b)

Special Square

c)

Unique Square

62.

It is a base-20 form of writing numbers.

a)

Decimal

b)

Sexagesimal

c)

Vigesimal

63.

Who was one of the world's first female mathematicians?

a)

Euclid

b)

Hypatia

c)

Aristotle

d)

Hippocrates

e)

Archimedes

64.

In the Babylonian notation the following principles were employed EXCEPT

a)

Additive

b)

Multiplicative

c)

Associative

65.

This theorem states that "if a triangle is drawn within a circle with the long side as a diameter of the circle, then the opposite angle will always be a right angle."

a)

Pythagorean Theorem

b)

Thales Theorem

c)

Isosceles-Right Triangle Theorem

d)

Similarity Theorem

66.

He was Plato’s student credited with the first implementation of the “method of exhaustion” (later developed by Archimedes), an early method of integration by successive approximations which he used for the calculation of the volume of the pyramid and cone.

a)

Eudoxus of Cnidus

b)

Alexander the Great

c)

Pythagoras

d)

Aristotle

67.

13. It was defined by Chinese in ancient times as the "art of calculation".

a)

Mayan Mathematics

b)

Chinese Mathematics

c)

Roman Mathematics

d)

Medieval Mathematics

68.

12. How many days are in divine calendar?

a)

260

b)

360

c)

365

d)

390

69.

14. He produced a calendar which was based on a cycle of 19 years.

a)

Liu Zhuo

b)

Luoxia Hong

c)

Zu chongzki

d)

None of the choices

70.

17. Why did the Hindu civilization have an advantage over the Greek civilizations understanding of mathematics?

a)

They were the first civilization to invent "Phat Stacks"

b)

They really liked Pi

c)

They regarded irrational roots of numbers as numbers

d)

They predicted the birth of Chuch Norris by using astrology

71.

40. He eventually came to understand cubic and quartic equations much better than Tartaglia.

a)

Lodovico Ferrari

b)

Gerolamo Cardano

c)

Luca Picioli

d)

Niccolo Tartaglia

72.

39. In the egyptians mathematics, the figure of a god with arms raised above his head in decimal system is equivalent to ____.

a)

100

b)

1,000,000

c)

1,000

d)

1

73.

What are the first 10 digit of Pi?

a)

3.141592653

b)

3.276351926

c)

3.141596283

d)

3.142573494

74.

Who is the author of “The Fractal Geometry of Nature” an important contribution to understanding form and complexity in the physical universe?

a)

Leonardo da Pisa

b)

Rene Descartes

c)

Joseph Liouville

d)

Benoit Mandelbrot

75.

Who is the founder of modern theory of numbers?

a)

Pierre de Fermat

b)

Benoit Mandelbrot

c)

John Venn

d)

Isaac Newton

76.

Who is the most important mathematician in the 18th Century?

a)

Leonhard Euler

b)

Gottfried Leibniz

c)

Isaac Newton

d)

Blaise Pascal

77.

Who is "the Father of Information Theory"?

a)

Shannon

b)

Euler

c)

Euclid

d)

Pascal

78.

Egyptians used lotus flowers to represent?

a)

50

b)

100

c)

750

d)

1000

79.
Babylonians solved the quadratic equation by what process?
a)
Completing the square
b)
Factoring
c)
Distributing
d)
Dividing
80.
In mathematical symbols, which of the following represents rational numbers.
a)
R
b)
Z
c)
Q
d)
W