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MIDTERM IN HISTORY OF MATHEMATICS

Total questions: 75

Worksheet time: 50mins

Name
Class
Date
1.
The Greek word “Metrein” in Geometry means:
a)
Earth
b)
To Measure
c)
To Meter
d)
Metric
2.
It Is a branch of mathematics concern with the general algebraic structure of various sets.
a)
Number theory
b)
Modern Algebra
c)
Set theory
d)
Geometry
3.
Which of the following is an example of a prime number.
a)
9
b)
13
c)
15
d)
21
4.
He published the paradox about ordinal numbers.
a)
Cesare Burali-Forti
b)
Ernst Zermelo
c)
Ferdinand Von Lindenman
d)
Zeno of Elea
5.
It is an idea that mathematics is a creation of the mind.
a)
Formalism
b)
Intuitionism
c)
Behaviorism
d)
Logicism
6.
The followings are prime numbers EXCEPT_____.
a)
3
b)
5
c)
19
d)
25
7.
What is the topic of Cantor in his second problem?
a)
Infinite set
b)
Abstract
c)
Real Algebraic number
d)
Consistency of the notion of the set R
8.
It is a philosophical, foundational, and foundationalist doctrine that can be advanced with concerning branches of mathematics.
a)
Formalism
b)
Intuitionism
c)
Behaviorism
d)
Logicism
9.
He is a German mathematician who discovers the set theory.
a)
Zeno of Elea
b)
Albert of Saxony
c)
Georg Cantor
d)
Bernard Bolzado
10.
He is a teacher of mathematics who become the Father of Geometry.
a)
Girolamo Saccheri
b)
Euclid
c)
Johann Carl Friedrich Gauss
d)
Farkas Bolyai
11.
Which of the following mathematicians solved the Fifth postulate:
a)
Reimann
b)
Euclid
c)
Lambert
d)
Adrien-Marie Legendre
12.
The following are Euclid’s postulates EXCEPT______.
a)
A straight line may be drawn from only one point.
b)
A terminated line can be produced indefinitely.
c)
A circle can be drawn with any center and any radius.
d)
All right angles are equal.
13.
Which of the following topics did Girolamo study.
a)
Angle sum of a triangle
b)
Acute angle
c)
Parallel postulate
d)
Non- Euclidian Geometry
14.
What is the main difference between non-Euclidian and Euclidian Geometry?
a)
Parallel lines
b)
Angle
c)
Intersection
d)
Plane
15.
It is the negatively curved non-Euclidian geometry.
a)
Elliptic geometry
b)
Parabolic Geometry
c)
Solid geometry
d)
Hyperbolic geometry
16.
Which of the following notion of parallelism demonstrate by Euclidian?
a)
Given a line L and point P, there is exactly one line parallel to L through P.
b)
Given a line L and point P, there is no line parallel to L through P.
c)
Given a line L and point P, there are infinite lines parallel to L through P.
d)
Given a line L and point P, there exists one line intersect to make a right angle.
17.
He briefly discussed a “spherical geometry” in which every line through P not on a line AB meets the line AB.
a)
Reimann
b)
Felix Klien
c)
Eugenio Beltrami
d)
Janos Bolyai
18.
Who among the mathematicians mastered the calculus at age of 13.
a)
Janos Bolyai
b)
Euclid
c)
Nikolai
d)
Farcas Bolyai
19.
A Greek philosopher who made an early contribution through his problems on the infinite.
a)
Ferdinand Von Lindenman
b)
Guiseppe Peano
c)
Zeno of Elea
d)
Cesare Burali-Forti
20.
A German mathematician who believes only in constructive mathematics.
a)
Guiseppe Peano
b)
Albert of Saxony
c)
Guiseppe Peano
d)
Ferdinand Von Lindenman
21.
He is a German logician who is regarded as the ancestor of the modern set theory.
a)
Abraham Fraenkel
b)
Albert of Saxony
c)
Ernst Zermelo
d)
Zeitschrift
22.
The following mathematicians are founder of Modern Algebra EXCEPT______.
a)
Al-Khwarizmi
b)
Archimedes
c)
Emmy Noether
d)
Bartel Leendert van der Waerden
23.
This mathematician considered as the Father of Modern Number theory.
a)
Pierre de Fermat
b)
Descartes
c)
Mersenne
d)
Carcavi
24.
He wrote a treatise consisting of thirteen books, the last 7 of which were discovered only in 1973.
a)
Leonardo Pisano Fibonacci
b)
Diophantus of Alexandria
c)
Hypatia of Alexandria
d)
Euclid of Alexandria
25.
In mathematical symbols, which of the following represents rational numbers.
a)
R
b)
Z
c)
Q
d)
W
26.
A British mathematician published the ultimate paradox that goes this “R” is the set of all sets that are not numbers of themselves.
a)
Bertnard Russel
b)
Ernst Zermelo
c)
Abraham Fraenkel
d)
Zeitschrift
27.
Babylonians solved the quadratic equation by what process?
a)
Completing the square
b)
Factoring
c)
Distributing
d)
Dividing
28.

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

a)

MMCIV

b)

MMLIV

c)

MMDIV

29.

It is a base-20 form of writing numbers.

a)

Decimal

b)

Sexagesimal

c)

Vigesimal

30.

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

31.

Identify the mathematician

a)

Euler

b)

Pythagoras

c)

Euclid

d)

Newton

32.

Who was the mentor of the great Indian mathematician Srinivasa Ramanujan?

a)

Betrand Russell

b)

G.H. Hardy

c)

E.T. Whittaker

d)

Alexander Aitken

33.

Invention of the logarithm in the early 17th Century was a contribution of

a)

Betrand Russell

b)

Bernhard Riemann

c)

John Napier

d)

Pierre de Fermat

34.

Who is known as the 'Prince of Mathematicians'?

a)

George Cantor

b)

Carl Friedrich Gauss

c)

Johannes Kepler

d)

David Hilbert

35.

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

a)

George Cantor

b)

Johannes Kepler

c)

Bernhard Riemann

d)

Thomas Bayes

36.

Convert these Egyptian hieroglyphs into modern day numbers

a)

267

b)

287

c)

237

d)

337

37.

Egyptian writing?

a)

Cuneiform

b)

Scribe

c)

Hieroglyphics

d)

Phoenician alphabet

38.

Sumerian writing

a)

Cuneiform

b)

Scribes

c)

Hieroglyphics

d)

Phoenician alphabet

39.

What is this number? (Babylonian numeral system)

a)

25

b)

82

c)

32

d)

141

40.

What is this number? (Babylonian numeral system)

a)

16

b)

32

c)

61

d)

111

41.

Which image below shows Babylonian Clay Tablet?

a)
b)
c)
d)
42.

The ancient Babylonians had their number system based on?

a)

10

b)

30

c)

60

d)

40

43.

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

a)

America

b)

Europe

c)

Egypt

d)

China

44.

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

a)

151

b)

168

c)

189

d)

205

45.

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

46.

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

a)

Corollary

b)

Conjecture

c)

Porism

d)

Reduction Ad Absurdum

47.

The Greek word dumamis means

a)

Power

b)

Add

c)

Subtract

d)

Multiply

48.

What religion flourished during the twilight of Greek Mathematics?

a)

Hindu

b)

Buddhism

c)

Christianity

d)

Islam

49.

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

50.

What is the country's present name of Constantinople?

a)

Istanbul

b)

Ethiopia

c)

Somalia

d)

Liberia

51.

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

a)

Egyptian

b)

Hindu

c)

Chinese

d)

Islam

52.

The Babylonian mile is approximately equal to 11.3 km (about 7 miles).

a)

13.2 km

b)

12.7 km

c)

12 km

d)

11.3 km

53.

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

54.

Who Invented "ZERO"

a)

Europeans

b)

Greeks

c)

Indians

d)

Russians

55.

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

a)

Bhaskara

b)

Varahamihira

c)

Aryabhatta

d)

Srinivasa Ramanujan

56.

What is the title of the first known math textbook?

a)

Rhind Papyrus

b)

Rosetta Stone

c)

Euclid's Elements

d)

Shulba Sutras

57.

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

58.

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)

59.

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)

60.

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)

61.

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)

62.

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)

63.

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

64.

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)

65.

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)

66.

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)

67.

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

68.

Father of Algebra.

a)

Blaise Pascal

b)

Al-Khwarizmi

c)

Pythagoras

d)

Euclid

69.

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

a)

argument

b)

fallacy

c)

proposition

d)

tautology

70.

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.

71.

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

72.

'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

73.

Who referred Mathematics as the 'Queen of Sciences'?

a)

Alan Turing

b)

Carl Friedrich Gauss

c)

David Hilbert

d)

Bernhard Riemann

74.

Jacob Bernoulli is the author of the book

a)

Elements

b)

Principia

c)

The Art of Conjecture

d)

Practica Geometriae

75.

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

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