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250 MATH MAJOR DRILLS

Total questions: 250

Worksheet time: 4hrs 14mins

Name
Class
Date
1.

Which mathematician collaborated in developing base‑10 logarithms widely used in computation?

a)

Isaac Newton

b)

Henry Briggs

c)

Leonhard Euler

d)

René Descartes

2.

Common logarithms are logarithms with which base?

a)

Base three

b)

Base ten

c)

Base two

d)

Base e

3.

James Gregory is historically linked with which mathematical area more than logarithms?

a)

Non‑Euclidean geometry models

b)

Set theory axiomatization

c)

Projective geometry foundations

d)

Infinite series and calculus

4.

Philip de Lahire is best known for work in which field?

a)

Topology invariants

b)

Number theory primes

c)

Group theory symmetry

d)

Projective geometry

5.

He is known to be “the greatest might have been”.

a)

Pierre de Fermat

b)

Blaise Pascal

c)

John Wallis

d)

Jan de Witt

6.

Who is described as the mathematician likened to Moses who came within sight of the promised land but could not enter it?

a)

Johannes Kepler

b)

Aristotle

c)

Galileo

d)

Omar Khayyam

7.

Which ancient mathematician is most associated with the geocentric model using epicycles and deferents?

a)

Galileo of Florence with telescopic observations

b)

Copernicus of Kraków with heliocentric circles

c)

Kepler of Prague using elliptical planetary paths

d)

Ptolemy of Alexandria with elaborate epicycles

8.

Identify the historical misconception illustrated by claiming elliptical orbits around Earth.

a)

Believing comets define fixed stellar positions

b)

Assuming planets move on perfect circles always

c)

Confusing heliocentric ellipses with geocentric paths

d)

Equating epicycles directly with parallax shifts

9.

Which pair correctly matches thinker and principal contribution to planetary motion?

a)

Democritus—precise ephemerides of Mars

b)

Copernicus—telescopic discovery of moons

c)

Ptolemy—law of universal gravitation

d)

Kepler—elliptical orbits laws

10.

Which ancient philosopher listed here made notable contributions to atomism rather than mathematical astronomy?

a)

Kepler with orbital area law

b)

Copernicus with heliocentric circles

c)

Democritus with atomistic theory

d)

Ptolemy with epicyclic kinematics

11.

Who is an ancient Greek pre-socratic philosopher remembered today for the formulation of atomic theory of the universe?

a)

Democritus

b)

Philolaus

c)

Thales of Miletus

d)

Anaxagoras

12.

One of the last great Greek mathematicians of antiquity remembered for the Synagogue or Mathematical Collection is

a)

Pappus of Alexandria

b)

Heron

c)

Menelaus

d)

Hermodorus

13.

Who is credited with inventing the pendulum clock?

a)

Carl Friedrich Gauss

b)

Joseph-Louis Lagrange

c)

Christian Huygens

d)

Leonhard Euler

14.

Which mathematician is most associated with the development of calculus of variations?

a)

Carl Friedrich Gauss

b)

Leonhard Euler

c)

Christian Huygens

d)

Joseph-Louis Lagrange

15.

Match each mathematician to a signature contribution.

a)

Gauss — least squares and number theory

b)

Euler — graph theory and complex analysis

c)

Huygens — pendulum clock and wave theory

d)

Lagrange — calculus of variations and mechanics

16.

Which contribution best illustrates the bridge between physics and mathematics during the Scientific Revolution?

a)

Huygens’ pendulum clock

b)

Lagrange’s multipliers

c)

Euler’s polyhedron formula

d)

Gauss’s modular arithmetic

17.

Choose the statement that correctly pairs the person and era.

a)

Huygens — 17th-century Dutch scientist

b)

Lagrange — 16th-century Italian physicist

c)

Euler — 19th-century French geometer

d)

Gauss — 18th-century Swiss analyst

18.

Identify the philosopher who is not primarily remembered for mathematical contributions among the listed names.

a)

Archytas of Tarentum

b)

Democritus of Abdera

c)

Thales of Miletus

d)

Pythagoras of Samos

19.

Select the statement that connects Thales with the broader Near Eastern mathematical traditions.

a)

He taught Euclid and Archimedes personally

b)

He translated Babylonian tablets into Latin

c)

He founded the Academy in Athens

d)

He studied with Egyptian and Chaldean scholars

20.

Choose the best reason why Pythagoras is not the answer to the question shown.

a)

He worked only on astronomy topics

b)

He rejected geometric reasoning entirely

c)

He never traveled outside Greece

d)

He lived after Thales historically

21.

If asked to justify Thales’s designation as a pupil of Egyptians and Chaldeans, which evidence is most relevant?

a)

Historical reports of his travels

b)

Maps from Hellenistic cartographers

c)

Algebraic proofs in medieval texts

d)

Roman administrative records

22.

He is a Greek mathematician known to be the “father of modern analysis”?

a)

Karl Weistrass

b)

Blaise Pascal

c)

Charles Babbage

d)

David Hilbert

23.

Which mathematician authored Ars Conjectandi, a foundational text of probability?

a)

Pierre-Simon Laplace

b)

Jacob Bernoulli

c)

Thomas Bayes

d)

Karl Pearson

24.

Which development best advanced empirical statistics into biometric applications around 1900?

a)

Pearson’s correlation and chi-square methods

b)

Laplace’s celestial mechanics tables

c)

Gauss’s non-Euclidean geometry insights

d)

Galois’s theory of polynomial solvability

25.

Match the figure to the contribution: Who popularized diagrams showing all set intersections?

a)

John Venn

b)

Karl Pearson

c)

Christian Huygens

d)

Jacob Bernoulli

26.

Who is the author of the book Ars Magna?

a)

Robert Recorde

b)

Francois Viete

c)

Albert Girard

d)

Girolamo Cardano

27.

Which motto emphasizes ontology through quantity rather than divinity or power?

a)

I think, therefore I am

b)

All is about god

c)

All is numbers

d)

I came, I saw, I conquer

28.

Select the thinker whose school emphasized numerical ratios underlying geometric forms.

a)

Eudemus

b)

Pythagoras

c)

Hippias

d)

Proclus

29.

The discovery of the Quadrature of Lunes is attributed to

a)

Archimedes

b)

Anaxagoras

c)

Hippocrates of Chios

d)

Hippias

30.

Choose the statement that best contrasts Eudoxus with Menaechmus.

a)

Eudoxus proved Fermat’s last theorem; Menaechmus invented algebra

b)

Eudoxus founded topology; Menaechmus defined complex numbers

c)

Eudoxus advanced proportion; Menaechmus studied conics

d)

Eudoxus created matrices; Menaechmus solved polynomials

31.

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)

32.

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)

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.

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

35.

Who is the father of mathematics?

a)

Archimedes

b)

Rene Descartes

c)

Albert Einstein

d)

Pythagoras

36.

Father of Geometry.

a)

Pythagoras

b)

Archimedes

c)

Euclid

d)

Rene Descartes

37.

Father of Algebra.

a)

Blaise Pascal

b)

Al-Khwarizmi

c)

Pythagoras

d)

Euclid

38.

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.

39.

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

40.

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

a)

America

b)

Europe

c)

Egypt

d)

China

41.

Following statement is True or False: Egyptians used to express numbers in the units of 60.

a)

True

b)

False

42.

Following statement is True or False: Mathematics has no connect with real-life.

a)

True

b)

False

43.

The ancient Babylonians had their number system based on?

a)

10

b)

30

c)

60

d)

40

44.

Which image below shows Babylonian Clay Tablet?

a)
b)
c)
d)
45.

What is this number? (Babylonian numeral system)

a)

16

b)

32

c)

61

d)

111

46.

Sumerian writing

a)

Cuneiform

b)

Scribes

c)

Hieroglyphics

d)

Phoenician alphabet

47.

Convert these Egyptian hieroglyphs into modern day numbers

a)

267

b)

287

c)

237

d)

337

48.

Egyptian writing?

a)

Cuneiform

b)

Scribe

c)

Hieroglyphics

d)

Phoenician alphabet

49.

It is one of the books authored by Diophantus.

a)

The elements

b)

Arithmetica

c)

Almagest

d)

Palimpsest

50.

What religion flourished during the twilight of Greek Mathematics?

a)

Hindu

b)

Buddhism

c)

Christianity

d)

Islam

51.

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

a)

Egyptian

b)

Hindu

c)

Chinese

d)

Islam

52.

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

53.

How did the babylonians count?

(a)  

54.

Who Invented "ZERO"

a)

Europeans

b)

Greeks

c)

Indians

d)

Russians

55.

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

56.

The Pharaoh’s surveyors used measurements based on body parts (a palm was the width of the hand, a cubit the measurement from elbow to fingertips) to measure land and buildings very early in Egyptian history.

a)

True

b)

False

57.

The 3-4-5 right triangle is often called “Egyptian”.

a)

True

b)

False

58.

The idea of proof, and the deductive method of using logical steps to prove or disprove theorems from initial assumed axioms was contributed by _________________.

a)

Romans

b)

Babylonians

c)

Greeks

d)

Hindus

59.
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
60.

What is the title of the first known math textbook?

a)

Rhind Papyrus

b)

Rosetta Stone

c)

Euclid's Elements

d)

Shulba Sutras

61.
Babylonians solved the quadratic equation by what process?
a)
Completing the square
b)
Factoring
c)
Distributing
d)
Dividing
62.

It is a base-20 form of writing numbers.

a)

Decimal

b)

Sexagesimal

c)

Vigesimal

63.

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

64.

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

65.

One of the first civilizations to use the abacus was:

a)

the Greeks.

b)

the Romans.

c)

the Germans.

d)

the Chinese.

66.

It is an aquatic plant used by the Egyptian.(WRITE YOUR ANSWER IN small letter)

(a)  

67.

It is an aquatic plant used by the Egyptian.(WRITE YOUR ANSWER IN small letter)

(a)  

68.

These are the writing systems of Egypt.

a)

Numeric

b)

Hieroglyphic

c)

Hiegrolyphic

d)

Hieratic

69.

Who is the mathematician behind the idea of number zero?

a)

Bhaskara II

b)

Thabit ibn Qurrah

c)

Al-khwarizmi

d)

Brahmagupta

70.

What do we call to the school which was dedicated for translating books from Greek to Arabic?

a)

Baghdad

b)

Center for Learning

c)

The Home for Wisdom

d)

The House of Wisdom

71.

Expand the binomial expansion (2x−y)3\left(2x-y\right)^3 .

a)

8x3−12x2y−6xy2−y38x^3-12x^2y-6xy^2-y^3  

b)

8x3−12x2y+6xy2−y38x^3-12x^2y+6xy^2-y^3  

c)

8x3−6x2y+6xy2−y38x^3-6x^2y+6xy^2-y^3  

d)

8x3+6x2y+6xy2−y38x^3+6x^2y+6xy^2-y^3  

72.

In what term is x2x^2 located, given the binomial expansion (x−1x)8\left(x-\frac{1}{x}\right)^8 .

a)

3rd term

b)

2nd term

c)

5th term

d)

4th term

73.

What is the numerical coefficient of the 5th term in the binomial expansion (3z−2z)7\left(3z-\frac{2}{z}\right)^7  

a)

-22680

b)

15120

c)

-6048

d)

1344

74.

Expand the binomial expansion (2c−4d)5\left(2c-\frac{4}{d}\right)^5 .

a)

32c5−320c4d+1280c3d2−2560c2d3+2560cd4−1024d532c^5-\frac{320c^4}{d}+\frac{1280c^3}{d^2}-\frac{2560c^2}{d^3}+\frac{2560c}{d^4}-\frac{1024}{d^5}  

b)

32c5+320c4d+1280c3d2+2560c2d3+2560cd4+1024d532c^5+\frac{320c^4}{d}+\frac{1280c^3}{d^2}+\frac{2560c^2}{d^3}+\frac{2560c}{d^4}+\frac{1024}{d^5}  

c)

32c5−320c4d−1280c3d2−2560c2d3−2560cd4−1024d532c^5-\frac{320c^4}{d}-\frac{1280c^3}{d^2}-\frac{2560c^2}{d^3}-\frac{2560c}{d^4}-\frac{1024}{d^5}  

d)

32c5+320c4d−1280c3d2−2560c2d3+2560cd4−1024d532c^5+\frac{320c^4}{d}-\frac{1280c^3}{d^2}-\frac{2560c^2}{d^3}+\frac{2560c}{d^4}-\frac{1024}{d^5}  

75.

What is the sum of the coefficient in the 8th row of the Pascal's Triangle?

a)

64

b)

128

c)

256

d)

512

76.

Find the term which contains x6y2x^6y^2 . Given the binomial expansion (x2+3y)5\left(x^2+3y\right)^5 .

a)

15x6y215x^6y^2  

b)

90x6y290x^6y^2  

c)

270x6y2270x^6y^2  

d)

405x6y2405x^6y^2  

77.

What is the fifth term of the binomial expansion (3x−4)4\left(3x-4\right)^4 .

a)

256

b)

-64

c)

42

d)

-12

78.
What mathematical concept did the Babylonians develop that the Egyptians, Greeks, and Romans did not have?
a)
Geometry
b)
Algebra
c)
Place-value system
d)
Zero
79.
Why is the number 60 significant in Babylonian mathematics?
a)
It's a mystical number
b)
It's the smallest prime number
c)
It has many divisors
d)
It's the highest achievable number
80.

What is this number? (Babylonian numeral system)

a)

16

b)

32

c)

61

d)

111

81.

Numbers included during primitive counting.

a)

1-2

b)

1-2-3

c)

1-2-3-4-5

d)

1-2-3-4-5-6

82.

The earliest and most immediate technique for visibly expressing the idea of number

a)

Drawing

b)

Knots

c)

Symbols

d)

Tallying

83.

It is the oldest table of prime numbers, a fossil fragment which may be the handle of a tool used for engraving, or tattooing, or even writing in some way

a)

Clay Tablet

b)

Ishango Bone

c)

Peruvian Quipu

84.
Which mathematician in ancient China is known for being one of the first to leave roots unevaluated for more exact results?
a)
Yang Hui
b)
Qin Jiushao
c)
Liu Hui
d)
Sun Tzu
85.
What was the significance of magic squares in ancient Chinese mathematics?
a)
They were used for basic arithmetic calculations.
b)
They were believed to have cosmic significance.
c)
They represented Chinese numerals.
d)
They were used in geometry.
86.
What is the name of the earliest known magic square, which adds up to 15 in all rows, columns, and diagonals?
a)
Lo Shu Square
b)
Yang Hui Square
c)
Sun Tzu Square
d)
Qin Jiushao Square
87.
What famous mathematical concept did Yang Hui produce, similar to Pascal's Triangle?
a)
Chinese Remainder Theorem
b)
Fibonacci Sequence
c)
Quadratic Formula
d)
Binomial coefficients
88.
What Chinese textbook became important for the education of mathematically competent administrators?
a)
"The Nine Chapters on the Mathematical Art"
b)
"Chinese Mathematics and Equations"
c)
"The Golden Age of Chinese Mathematics"
d)
"The Art of Chinese Calculations"
89.
What ancient Chinese mathematical concept involves using remainders to calculate the smallest value of an unknown number?
a)
Chinese Remainder Theorem
b)
Yang Hui's Triangle
c)
Abacus Calculation
d)
Lo Shu Magic Square
90.
What mathematician is known for formulating an early approximation of the value of π (pi)?
a)
Yang Hui
b)
Qin Jiushao
c)
Liu Hui
d)
Sun Tzu
91.

To start you research you need to have_________

a)

Lots of problems

b)

A lot of energy

c)

A question for a problem

d)

Previous thesis from seniors

92.

Reports employing this type of research focus on the question ‘How can problem ‘X’ be solved or prevented ?’

a)

Policy-oriented Research

b)

Longitudinal Research

c)

Exploratory Research

d)

Explanatory Research

93.

What do you call to the process of steps used to collect and analyze information of a topic or issue?

a)

research

b)

basic research

c)

descriptive

d)

qualitative

94.

It establishes the scope, context and significance of the research, and this also states why the study will be conducted.

a)

Introduction

b)

Literature Review

c)

Methodology

d)

Results and Recommendations

95.

This research involves the process of collecting and analyzing information in order to develop and enhance theory.

a)

evaluation research

b)

action research

c)

applied researcg

d)

basic research

96.

The research topic "The factors affecting the bad sleeping habits of teenagers" on which of the following research design?

a)

Descriptive

b)

Relational

c)

Causal / Experimental

d)

Survey

97.

Which of the following are complete list of the good characteristics on a research problem?

a)

general, measurable, attainable, timely

b)

Broad, measurable and attainable

c)

specific, measurable, attainable, result focused, timely

d)

specific, measurable, attainable, result, cost time

98.

What is phenomenological, ethnographic, grounded theory, historical, case study, and action research

a)

Qualitative Research

b)

Quantitative Research

c)

Descriptive Research

d)

Exploratory Research

99.

An investigation on basic principles and reasons for occurrence of a particular event or process or phenomenon

a)

Basic Research

b)

Applied Research

c)

Quantitative Research

d)

Qualitative Research

100.

The research design is ________

a)

refers to the overall strategy that you choose to integrate the different components of the study in a coherent and logical way

b)

it constitutes the blueprint for the collection, measurement, and analysis of data

c)

ensuring you will effectively address the research problem

d)

All of these

101.

It uses correlations to study relationships between dimensions or characteristics of individuals, groups, situations, or events.

a)

Exploratory Research

b)

Longitudinal Research

c)

Explanatory Research (Causal Research)

d)

Qualitative Research

102.

It is numerical, non-descriptive, applies statistics or mathematics and uses numbers.

a)

Applied Research

b)

Mixed Research

c)

Qualitative Research

d)

Quantitative Research

103.

It aims is to get the meaning, feeling and describe the situation.

a)

Quantitative Research

b)

Qualitative Research

c)

Mixed Research

d)

Applied Research

104.

In an applied research one solves certain problems employing well known and accepted theories and principles.

a)

Qualitative Research

b)

Quantitative Research

c)

Basic Research

d)

Applied Research

105.

What does the findings section highlight?

a)

The success of the study.

b)

Psychological interpretation of the statistical findings.

c)

The outcome of data analysis.

d)

All of these.

106.

Which one is called non-probability sampling?

a)

Quota sampling

b)

Cluster sampling

c)

Systematic sampling

d)

Stratified random sampling

107.

It is directed toward studying “what” and how many off this “what”.

a)

Action Research

b)

Longitudinal Research

c)

Explanatory Research

d)

Descriptive Research

108.

Research methodology refers to the specific approach the researcher takes to conduct a research project.

a)

True

b)

False

109.

The research topic "Can peer counselling lessen the stress and anxiety of students?" on which of the following research methodologies?

a)

Descriptive

b)

Relational

c)

Causal / Experimental

d)

Correlational

110.

Methodology provides a description ..........

a)

of the exact methods you will use to gather, organize, compile, and analyze data.

b)

of the exact literature you will use to gather, organize, compile, and analyze.

c)

of the exact introduction you will use to gather, organize, compile, and analyze.

d)

of the exact findings you will use to gather, organize, compile, and analyze data.

111.

Which Research Title shows cause and effect relationships?

a)

Perception of students in SHS

b)

Effect of ICT in students' study habits

c)

Perception of students in SHS and Effect of ICT in students' study habits

d)

Effect of ICT in students' study habits and Determination of factors affecting students' performance

112.

What are the two types of research?

a)

Qualitative and quantitative

b)

Primary and secondary

c)

Structured and unstructured

d)

Open-ended and Closed questions

113.

The exploration of new phenomena in this way may help the researcher’s need for better understanding, may test the feasibility of a more extensive study, or determine the best methods to be used in a subsequent study.

a)

Exploratory Research

b)

Explanatory Research

c)

Descriptive Research

d)

Action Research

114.

This refers to a particular procedure or set of procedures applied in conducting a research or study.

a)

Introduction

b)

Review of Related Literature

c)

Methodology

d)

Findings, Results and Recommendations

115.

__________ aim to classify features, count them, and create statistical models to test hypotheses.

a)

Qualitative Method

b)

Interviews

c)

Quantitative Method

d)

Fieldwork Studies

116.

What is the characteristics of qualitative research?

a)

Researcher has to use facts.

b)

Concerned with generalization

c)

Evidence in the form of visual

d)

Evidence in the form of numbers

117.

Which type of information is most likely to be collected by quantitative research methods?

a)

Attitudes and values

b)

Non-numerical data

c)

Descriptions and explanations

d)

Measurements and statistics

118.

It seeks accurate information through data analysis

a)

Clearly defined question

b)

Objective

c)

Structured research instrument

d)

Numerical data

119.

This is where we analyze the quantity, how much, and the number value

a)

Objective

b)

Clearly defined question

c)

Structured research instrument

d)

Numerical Data

120.

It describe nature, characteristic, and components of a phenomenon.

a)

Correlational research

b)

Descriptive research

c)

Evaluation research

d)

Casual comparative research

121.

It is the investigation of relationship between variables.

a)

Correlational research

b)

Descriptive research

c)

Evaluation research

d)

Casual comparative research

122.

It is the specific or sub questions called

a)

Research

b)

Quantitative

c)

Survey

d)

Research questions

123.

A method of systematic enquiry that teachers undertake as researchers of their own practice

a)

Applied Research

b)

Basic Research

c)

Action Research

d)

Descriptive Research

124.

Good research is always_____

a)

Comprehensive

b)

Selective

c)

Systematic

d)

Time-bounded

125.
Studies groups and individuals in natural settings; seeks to understand insider views.
a)
Qualitative
b)
Quantitative
126.
Researcher tests hypothesis and theory with data
a)
Qualitative
b)
Quantitative
127.

It regards phenomenon which can be observed but not measured.

a)

Qualitative research

b)

Quantitative research

128.

When it comes to purpose, which of the following focuses on theory testing, prediction, establishing facts and testing hypothesis?

a)

Qualitative

b)

Quantitative

c)

Both

129.

When it comes to data analysis, which of the following focuses mainly interpretative, descriptive and extensive narrative?

a)

Quantitative

b)

Qualitative

c)

Both

130.

Mr Jose is doing a research to explore and expand a concepts on the management of digital employee experience. Which of the type of research below is incorrect.

a)

Pure research

b)

Applied research

c)

Fundamental research

d)

Basic research

131.

A research that is conducted to explore and understand people’s beliefs, experiences, attitudes, behavior and interactions through methods such as interviews or focus group discussions is known as:

a)

Qualitative research

b)

Fundamental research

c)

Applied research

d)

Quantitative research

132.

What are the three characteristics of a good problem statement?

a)

Relevant

b)

Feasible

c)

Specific

d)

Interesting

133.

Which of the following statement describes an independent variable?

a)

Known as predictor or explanatory variable

b)

known as criterion or outcome variable

c)

variable which can be predicted and explained

134.

A variable that explains the relationship between the independent and dependent variables is:

a)

Moderating variable

b)

Intervening variable

c)

Demographic variable

d)

Mediating variable

135.

_________ are the strategies, processes or techniques utilised in the collection of data or evidence for analysis to uncover new information or create a better understanding of a topic.

a)

Research approaches

b)

Research methodology

c)

Research methods

d)

Research philosophy

136.

Identify qualitative data collection techniques

a)

Focus groups

b)

Questionnaires

c)

Observations

d)

Interviews

137.

In order to pursue the research, which of the following is priorly required?

a)

Developing a research design

b)

Formulating a research question

c)

Deciding about the data analysis procedure

d)

Formulating a research hypothesis

138.

Compare cause and effect without existing study.

a)

Correlational research

b)

Descriptive research

c)

Evaluation research

d)

Casual comparative research

139.

:

The research topic "Does playing pop music improve the problem-solving skills of students during online-class" on which of the following research design?

a)

Descriptive

b)

Relational

c)

Causal / Experimental

d)

Experimental

140.

Quantitative is a research that based on ....

a)

measurements

b)

words

c)

opinions

d)

expressions

141.

1. Which of the following refers to any flat surface of a solid figure?

a)

edge

b)

face

c)

vertice

d)

shape

142.

2. The line segment where two faces of a solid figure intersect is called ______.

a)

face

b)

vertex

c)

edge

d)

plane

143.

3. A ___________is any closed, two-dimensional shape.

a)

quadrilateral

b)

figure

c)

plane figure

d)

solid figure

144.

4. What shape am I? "If I have two congruent circles that are joined by a curved surface. I have no edges or vertices, but I can roll."

a)

Cylinder

b)

Sphere

c)

Cone

d)

Cube

145.

5. What geometric figure will be created?

a)

Cube

b)

Rectangular Prism

c)

Square Pyramid

d)

Cone

146.

6. What combinations of shapes would you need to create a cube?

a)

6 square faces

b)

6 rectangle faces

c)

4 squares and 2 rectangles faces

d)

4 rectangles and 2 square faces

147.

7. What combinations of shapes would you need to create a rectangular prism?

a)

6 square faces

b)

6 rectangle faces

c)

4 squares and 2 rectangles faces

d)

4 rectangles and 2 square faces

148.

8. When two angles in a plane share a vertex and a side but no common interior points, they are call ____________________ angles. See example <AOB and <AOD.

a)
Complementary
b)
Supplementary
c)
Vertical
d)
Adjacent
149.

9. What geometric shape will be created?

a)

Cube

b)

Rectangular Prism

c)

Squares

d)

Cyclinder

150.

10. This polygon is classified as ______.

a)

a hexagon

b)

a heptagon

c)

an octogon

d)

a nonagon

151.

11. If the m∠1 = 36, find the m∠5.

a)

144

b)

36

c)

54

d)

154

152.

12. What is a polygon?

a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
153.

13. Classify the relationship between the pair of angles. ∠10 and ∠12

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

154.

14. Is the figure a polygon? Is it convex or concave?

a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
155.

15. Is the figure a polygon? Is it convex or concave?

a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
156.

16. Determine the value of x in the figure.

a)

9

b)

10

c)

18

d)

20

157.

17. The sum of the interior angles of a parallelogram is 360.

a)

Always

b)

Sometimes

c)

Never

d)

Unsure

158.

18. In a regular hexagon, what is the measure of each interior angle?

a)

180

b)

150

c)

60

d)

120

159.

19. The sum of the interior angles of a polygon with n sides is

a)

180n

b)

360n

c)

180(n - 2)

d)

360(n - 2)

160.

20. In a regular nonagon, what is the measure of each exterior angle?

a)

60

b)

40

c)

36

d)

30

161.

21. What is the sum of the interiors angles of a 22-gon?

a)

3600

b)

3960

c)

7200

d)

1260

162.

22. Find the coordinates of the intersection of the diagonals of Parallelogram HJKL with the vertices H(1, 1), J(2, 3), K(6, 3), L(5, 1).

a)

(5.5, 2)

b)

(1.5, 2)

c)

(2.5, 1)

d)

(3.5, 2)

163.

23. The following are the properties of a parallelogram, except:

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

Consecutive angles are supplementary

164.

24. A trapezoid is a quadrilateral with exactly one pair of _____ sides.

a)
parallel
b)
congruent
c)
perpendicular
d)
skew
165.

25. Select the statements about parallelograms that are TRUE.

a)

The opposite sides of a parallelogram are parallel.

b)

The opposite sides of a parallelogram are congruent

c)

Consecutive angles of a parallelogram are supplementary.

d)

A parallelogram can have exactly one right angle.

166.

26. Name the given shape in the left side.

a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
167.

27. The opposite sides of a parallelogram are...

a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
168.

28. Two rays that meet at a common end point are called an...

a)

point

b)

line

c)

angle

d)

line segment

169.

29. What is the value of the missing angle in this quadrilateral?

a)
56 degrees
b)
67 degrees
c)
304 degrees
d)
360 degrees
170.

30. To construct an equilateral triangle, all you need is a compass and a straightedge.

a)
True
b)
False
c)

Maybe

171.

31. This figure has 4 right angles and 4 congruent sides. Which term best names the figure?

a)
square
b)
rectangle
c)
kite
d)
trapezoid
172.

32. The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

173.

33. What geometric construction is shown in the diagram below?

a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
174.

34. What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

175.

35. A flat surface is called a _____.

a)

plane

b)

line

c)

point

d)

ray

176.

36. Find the surface area of the cylinder.

a)
471.24 square centimeters
b)
157.08 square centimeters
c)
314.16 square centimeters
d)
296.72 square centimeters
177.

37. How many faces does a rectangular prism have?

a)
2
b)
4
c)
6
d)
8
178.

38. What two different shapes make up a cylinder?

a)
circles and rectangle
b)
triangles and rectangle 
c)
circles and sqaure
d)
circles and triangle
179.

39. Find the surface area of the cylinder.

a)
60.4 m2
b)
188.49 m2
c)
94.24 m2
d)
881.94 m2
180.

40. Which one is the correct construction for a perpendicular bisector?

a)
1
b)
2
c)
3
d)
4
181.

41. A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. What is the surface area?

a)
126 cm2
b)
144 cm2
c)
252 cm2
d)
333 cm2
182.

42. Find the surface area of the prism.

a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
183.

43. If slant height of the cone is 21 cm and the diameter of the base is 24 cm. The total surface area of a cone is:

a)

1200.77 sq.cm

b)

1177 sq.cm

c)

1222.77 sq.cm

d)

1244.57 sq.cm

184.

44. To inscribe a square inside a circle, first you must draw a chord anywhere across the circle. What should your next step be?

a)

Construct a perpendicular bisector

b)

Draw a second diameter to the circle

c)

Construct a line tangent to the circle

d)

Set your compass the length of the radius.

185.

45. What is the area formula for a circle? (2-dimensional)

a)
A = pi x D
b)
A = pi x 2r
c)
A = pi x r^2
d)
A = pi x r
186.

46. Given the following inscribed quadrilateral, what is the value of y?

a)
10
b)
20
c)
30
d)
40
187.

47. The surface area of a cube whose edge equals to 3cm is:

a)

62 sq.cm

b)

30 sq.cm

c)

54 sq.cm

d)

90 sq.cm

188.

48. The lateral area of a cylinder is 94.2 cm2 . The height is 6 cm. What is the radius?

a)
2.5 cm
b)
10 cm
c)
24.7 cm
d)
55 cm
189.

49. What is the area formula for a rectangle? (2-dimensional)

a)
A = l x w x h
b)
A = 2(l x w) + 2(l x h) + 2 (h x w)
c)
A = l^2 x w^2
d)
A = l x w
190.

50. The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

140

b)

45

c)

70

d)

190

191.

TRUE/FALSE. The formal procedure for investigating our ideas about the world using statistics is called hypothesis testing.

a)

True

b)

False

192.

TRUE/FALSE. The larger the alpha, the smaller is the value of beta.

a)

True

b)

False

193.

TRUE/FALSE. Nonparametric tests make as many assumptions about the data.

a)

False

b)

True

194.

The following are the four scales of measurement EXCEPT

a)

Nominal

b)

Ordinal

c)

Categorical

d)

Interval

195.

Which of the following is not one of the six general steps to apply the scientific method?

a)

identify a problem

b)

select an authority figure

c)

conduct the study

d)

develop a research plan

196.

A questionnaire is a list of well-planned questions written on paper which can either be personally administered of mailed by the researcher to the respondents using any of the following forms EXCEPT

a)

Guided-response type

b)

Recall type

c)

Free response type

d)

Interview type

197.

The scientific method refers to a set of systematic techniques used to acquire, modify, and integrate knowledge concerning ______.

a)

observable and measurable phenomena

b)

populations, but not samples

c)

statistics, but not parameters

d)

any phenomena

198.

This is an attribute that describes an entity such as a person, place or a thing and the value that variable take may vary from one entity to another.

a)

Variable

b)

Sample

c)

Parameter

d)

Population

199.

Based on results reported in published articles, a researcher states that men will be less likely than women to read nutrition labels when making decisions about purchasing foods. What is this statement called?

a)

intuition

b)

hypothesis

c)

research plan

d)

literature review

200.

A research hypothesis must be ______ when subjected to the scientific method.

a)

intuitive

b)

logical

c)

testable

d)

accurate

201.

Applied research uses the scientific method to answer questions ______.

a)

about how to purchase apps

b)

about theoretical issues for fundamental processes and underlying mechanisms related to the behaviors and events being studied

c)

concerning practical problems with potential practical solutions within an organization or instituion

d)

that are directly related to the predictions made by theories

202.

Quantitative research uses the scientific method to ______.

a)

record observations as numeric data

b)

make nonnumeric observations, from which conclusions are drawn without the use of statistical analysis

c)

conduct studies that can be completed without the use of statistical analysis

d)

make guesses about scientific phenomena

203.

______ uses the scientific method to make nonnumeric observations, from which conclusions are drawn without the use of statistical analysis.

a)

Quantitative research

b)

Qualitative research

c)

Basic research

d)

Applied research

204.

The goal of which type of research design is to describe the variables, not examine relationships among the variables?

a)

descriptive research

b)

correlational research

c)

quasi-experimental research

d)

experimental research

205.

Which type of research design is used to examine a causal relationship and involves manipulating one variable, randomly assigning participants or subjects to different levels of that manipulated variable, and measuring the effect of that manipulation on another variable?

a)

descriptive research

b)

correlational research

c)

quasi-experimental research

d)

experimental research

206.

Which of the following is a variable?

a)

Never married

b)

Married

c)

Divorced

d)

Marital Status

207.

How many more boys than girls have shoes that are 22 centimeters long?

a)

16

b)

2

c)

9

d)

4

208.

The ______ refers to a set of systematic techniques used to acquire, modify, and integrate knowledge concerning observable and measurable phenomena.

a)

hypothesis

b)

population

c)

scientific method

d)

operational definition

209.

The bar graph shows the number of hamburgers sold at Bob’s Burger Shack. On which days were more than 80 hamburgers sold?

a)

Wednesday and Friday

b)

Tuesday and Thursday

c)

Monday, Tuesday, and Thursday

d)

Tuesday, Wednesday, Thursday, and Friday

210.

A way of showing data using bars of different heights/lengths is called ....

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

211.

Hannah earned 84,92,84,75 and 70 on her first 5 tests. What is the minimum grade Katie needs to earn on the next test to have a mean of 84?

a)

84

b)

82

c)

75

d)

99

212.

This test don't make any assumptions about the data.

a)

Parametric

b)

Nonparametric

c)

F_test

d)

T test

213.

A way of showing data using symbols or pictures is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

214.

It is a non parametric test that use to compare a continuous outcome in two independent samples.

a)

Friedman Test

b)

Man-Whitney U-test

c)

ANOSIM

d)

T-test

215.

A table that lists items and shows the frequency or number of times they occur is called ...

a)

bar graph

b)

frequency table

c)

pictograph

d)

tally chart

216.

Are use in statistical hypothesis testing. Select all that apply

a)

Hypothesis

b)

Null hypothesis

c)

Statistical test

d)

Alternative hypothesis

217.

It shows that there is relationship between a parameter and specific value.

a)

Hypothesis

b)

Alternative hypothesis

c)

Null hypothesis

d)

Hypothesis testing

218.

Types of variables to determine to use a statistical test. Select all that apply

a)

Quantitative

b)

Discrete

c)

Categorical

d)

Nominal

219.

Facts or set of information or observation under study.

a)

Qualitative

b)

Quantitative

c)

Data

d)

Statistics

220.

Below are different nonparametric test except ONE.

a)

Friedman Test

b)

Wilcoxon signed-rank test

c)

ANOVA

d)

Sign test

221.

Refers to the collection of facts where the researcher gets information.

a)

Collection of Data

b)

Organization of Data

c)

Analysis of Data

d)

None of the above

222.

It is the science of collection, organization, analysis, interpretation, and presentation of data

a)

Data

b)

Statistics

c)

Qualitative

d)

Quantitative

223.

Statistics which is concerned with summarizing values to describe group characteristics of the data.

a)

Descriptive

b)

Inferential

c)

Parametric

d)

Non Parametric

224.

An inferential technique which assumes normally distributions of population from which data are drawn.

a)

Descriptive

b)

Inferential

c)

Parametric

d)

Non Parametric

225.

Refers to drawing of conclusions or generalizations from the analysed data.

a)

Analysis of Data

b)

Collection of Data

c)

Interpretation of Data

d)

Non Parametric

226.

What nonparametric test that uses this formula?

a)

Sign test

b)

Chi squared of independence

c)

Friedman Test

d)

ANOVA

227.

Statistics which is concerned with a higher order of critical thinking and judgment.

a)

Descriptive

b)

Inferential

c)

Parametric

d)

Non Parametric

228.

Each and every element of a large group of data.

a)

Population

b)

Sample

c)

Variable

d)

Data

229.

Process of extracting relevant information from a set of data.

a)

Analysis of Data

b)

Collection of Data

c)

Interpretation of Data

d)

Non Parametric

230.

Refers to the organization of data into tables, graphs and charts.

a)

Collection of Data

b)

Collation of Data

c)

Presentation of Data

d)

None of the above

231.

The words "is the same or different from" tell you this is a ______.

a)

tailed test

b)

single-tailed test

c)

two-tailed test

d)

normal test

232.

_______ : Several z statistics have been proposed that use the central limit theorem.

a)

Q-Test

b)

B-Test

c)

A-Test

d)

Z-Test

233.

Single population mean, known population variance (or standard deviation):______.

a)

Normal test

b)

Double test

c)

Test Statistics

d)

P-Value

234.

The ______ is to conclude that the proportion of first-time brides that are younger than their grooms is different from 50% when, in fact, the proportion is actually 50%.

a)

Type II error

b)

Type IV error

c)

Type I error

d)

Type VI error

235.

What is an independent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

236.

Which is a reason we would not use Spearman's Rank Correlation Coefficient?

a)

Data follows a linear trend

b)

Data follows a non-linear trend

c)

There are data points not necessarily in line with the rest of the data but they are still not outliers

d)

The rp is not showing a strong correlation for a given set of data

237.

Level of measurement where there is logical ordering or categories.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

238.
What is the only option for the null hypothesis? 
a)
H0 = k
b)
H0 > k
c)
H0 < k
d)
H0 ≠ k
239.

A study finds a moderate positive relationship between measures of self-esteem and achievement for a groups of middle school students. Which of the following correlation coefficient would best represent this relationship?

a)

.94

b)

.35

c)

-.62

d)

.20

240.

The ______ is the probability of observing values of the test statistic that are as contradictory or even more contradictory to H0 as the test statistic obtained in our sample.

a)

P-value

b)

X-value

c)

A-value

d)

H0-value

241.

Who was the father of Geometry?

a)

Archimides

b)

Newton

c)

Euclid

d)

Kepler

242.

He was the father of Algebra, who is he?

a)

Diophantus

b)

Plato

c)

Aristotle

d)

Balagtas

243.

A geometric structure that extends the concept of a plane.

a)

Geometric Plane

b)

Projective figure

c)

Projective Plane

d)

Geometric figure

244.

He is known as the "Great Geometer" on the basis of his text Conic Sections, an eight-"book" (or in modern terms, "chapter") series on the subject.

a)

Aristaeus

b)

Euclid

c)

Apollonius

d)

Kepler

245.

German Astronomer and mathematician, who is he?

a)

Kepler

b)

Ptolemy

c)

Galilei

d)

Dalton

246.

If x +y=7x\ +y=7   and xy =5xy\ =5  , what is x3+y3x^3+y^3  ?

a)

343

b)

289

c)

238

d)

105

247.

If x +1x=2, x2 +1x2=ax\ +\frac{1}{x}=2,\ x^{2\ }+\frac{1}{x^2}=a  and x3 +1x3=bx^{3\ }+\frac{1}{x^3}=b  , find the value of a + b.

a)

6

b)

10

c)

8

d)

4

248.

If x2 −10x +1=0x^2\ -10x\ +1=0  , what is x2+1x2x^2+\frac{1}{x^2}  ?

a)

96

b)

98

c)

100

d)

120

249.

Let 2x2+2=7x2x^2+2=7x . If x2+1x2x^2+\frac{1}{x^2}  can be written as mn\frac{m}{n}  , what is m +nm\ +n  ?

a)

45

b)

49

c)

53

d)

60

250.

A plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. As such, it generalizes a circle, which is the special type of ellipse in which the two focal points are the same.

a)

Parabola

b)

Figure Eight

c)

Hyperbola

d)

Ellipse