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Mathematics Quiz

Total questions: 119

Worksheet time: 3570secs

Name
Class
Date
1.

Find the equation of the y-axis.

a)

x = 0

b)

x – y = 0

c)

y – x = 0

d)

y = 0

2.

Find the unit vector in the direction of the vector a = 2x + 3y + z.

a)

b)

c)

x + y + z

d)

3.

A plot is definitely a better representation of the relationship between height and weight. As expected, Plot A indicated.

a)

Negative relationship

b)

No relationship

c)

Neither positive nor negative

d)

Positive relationship

4.

Budgeting, following recipe, grocery shopping are examples of the use of mathematics in __________.

a)

Everyday life

b)

Saving money

c)

Earning money

d)

Emergency situation

5.

All of these are “clue word” for subtraction, except _______.

a)

take away

b)

increase

c)

fewer

d)

less than

6.

All are perfect numbers, except ______.

a)

6

b)

8

c)

28

d)

496

7.

He invented a method of determining the optimal values of a linear subject to certain constraint. This is a method also known as Linear Programming. Who is he?

a)

Richard Dedekind

b)

Georg Cantor

c)

George Dantzig

d)

Bertrand Russell

8.

Find the slope of the points (1, 3) and (-4, 7).

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

9.

If 10CK = 252 and 10PK = 30240, find K.

a)

16

b)

5

c)

10

d)

8

10.

Find the coterminal of 60.

a)

420

b)

360

c)

180

d)

315

11.

Find the coterminal of 45.

a)

-420

b)

360

c)

180

d)

-315

12.

Simplify (csc x) (tan x).

a)

sec x

b)

csc x

c)

sin x

d)

cos x

13.

Where was mathematics invented?

a)

China

b)

Greece

c)

India

d)

Italy

14.

Evaluate: ∫

a)

39.4

b)

39 ½

c)

39.3

d)

39

15.

Find the slope of the points (-5, 3) and (2, 3).

a)

3

b)

7

c)

-7

d)

0

16.

The dual of aV(bc).

a)

a(aVc)

b)

aV(aVc)

c)

a(bVc)

d)

ab V c

17.

For the mathematics classes, it is advisable to make content delivery _________.

a)

asynchronous

b)

synchronous

c)

formative

d)

summative

18.

A teacher who starts lesson by giving several examples and derives the principle from these examples is using ______ method of teaching.

a)

mastery

b)

deductive

c)

review

d)

inductive

19.

If A and B are sets and A C B, find .

a)

A – B

b)

B – A

c)

B

d)

A

20.

Teacher Cielo explains the Pythagorean theory by first presenting the theory and gives example of right triangle in different settings to demonstrate how the presented examples show that Pythagorean theory is. Teacher Cielo is using the ______ method.

a)

drill

b)

deductive

c)

review

d)

inductive

21.

What is the equation of the circle with center in the first quadrant and passing through (2, 0) and (0, 2)?

a)

x²+y²+4(x-y-1)=0

b)

x²+y²-4(x+y+1)=0

c)

x²+y²+4(x-y+1)=0

d)

x²+y²-4(x+y-1)=0

22.

A ladder 50 feet long is placed between the ground and a vertical wall. The lower end of the ladder forms an angle of 30 with the ground. Find the distance of the upper end of the ladder from the ground.

a)

30 feet

b)

25 feet

c)

100 feet

d)

40 feet

23.

The process of using devise to describe in quantities the characteristics of object, people or situation is _________.

a)

Inspection

b)

Measurement

c)

Investigation

d)

Grading

24.

To determine the degree of mastery of students the recommended tool is ________.

a)

activity checklist

b)

weekly quizzes

c)

structure interview

d)

survey questionnaire

25.

A positive integer that is equal to the sum of its proper divisors are called what kind of numbers?

a)

irrational

b)

real

c)

rational

d)

perfect

26.

In the following statements, determine what is true for independent event A and B.

a)

P(A and B) = P(A) • (B/A)

b)

P(A/B) = 0

c)

P(A) = P(B)

d)

P(A and B) = P(A) • P(B)

27.

A syllabus in a mathematics subject is due for revision. It is known that there is little or no emphasis on the use of the technology in the existing syllabus. The main objective of the revision is to enhance the present syllabus with the use of technology. What should be the focus of the revision?

a)

Perform conformal mapping between objectives, teaching strategies and expected learning outcomes.

b)

Update list of references.

c)

Find the topics where technology can be integrated.

d)

Check if the syllabus conforms with standard specification.

28.

Because of their devotion to absolute truth, several mathematicians are also well known __________.

a)

novelist

b)

explorers

c)

illustrados

d)

philosophers

29.

Find the domain of the function of y = 3x – 5.

a)

All real numbers

b)

5x

c)

3x

d)

5/3

30.

S= {1, 2, 3, 4}. How many arrangements of sets are possible?

a)

24

b)

8

c)

4

d)

16

31.

If A and B are sets and A C B, find .

a)

A – B

b)

B – A

c)

B

d)

A

32.

Simplify:

a)

4x² + 6xy – 9y²

b)

-4x² + 6xy + 9y²

c)

4x² - 6xy – 9y²

d)

4x² - 6xy + 9y²

33.

Evaluate: √

a)

n

b)

(n + 1)

c)

0

d)

Does not exist

34.

Simplify:

a)

(x + 5)/(x – 3)

b)

(x – 3)/(x – 2)

c)

(x – 3)/(x + 5)

d)

(x – 2)/(x + 5)

35.

Simplify: x + {6x – [3x – (x – 2y) – 6y]}.

a)

-3x + 4y

b)

-3x – 4y

c)

5x – 4y

d)

5x + 4y

36.

Which is true for the following set of questions? 2x + 4y = 4, 6x – 4y = 24

a)

System consist of parallel lines

b)

System consist of non-intersecting lines

c)

System consist of lines that intersect at only one point

37.

It is a line graph of class frequency plotted against class midpoint.

a)

Line graph

b)

Scatter plot

c)

Histogram

d)

Frequency polygon

38.

The given multiplication table represents a cyclic group. Find d².

a)

a

b)

b

c)

c

d)

d

39.

Determine which of the following equations represents a circle.

a)

x^2 = 4y^2

b)

x^2 – 4y^2 = 0

c)

x + y = 22

d)

x^2 + y^2 = 22

40.

The traditional Chinese-Japanese numerical system is a _____ with base 10.

a)

Positioned numerical system

b)

Multiplicative grouping system

c)

Ciphered numerical system

d)

Simple numerical system

41.

A group of symbols and figures representing a particular number is _______.

a)

Simplified expression

b)

Numerical expression

c)

Symbol logic

d)

Symbolic expression

42.

It is a presentation of numerical data.

a)

Histogram

b)

Attribute Wheel

c)

Venn Diagram

d)

Spider map

43.

Simplify: •

a)

y

b)

z

c)

1/ (x + 2)

d)

1

44.

Perform the indicated operation: .

a)

y – 4

b)

–y

c)

4 – y

d)

y

45.

Simplify: 3x – (2x – 4x) + 6y.

a)

7x – 4y

b)

-7x + 4y

c)

7x + 4y

d)

-7x – 4y

46.

Evaluate: .

a)

b)

-

c)

d)

-

47.

Solve: x – 3(x – 8y) – (-6x + 7y).

a)

4x – 17y

b)

4x – 17y

c)

4x + 17y

d)

-4x – 17y

48.

Evaluate: x – 4x) + 6y.

a)

7x – 4y

b)

-7x + 4y

c)

7x + 4y

d)

-7x – 4y

49.

Solve: x – 3(x – 8y) – (-6x + 7y).

a)

4x – 17y

b)

4x – 17y

c)

4x + 17y

d)

-4x – 17y

50.

Solve: 5x – 2(x + 3y) – (4x – 6y).

a)

–x

b)

–x + 6y

c)

x + 6y

d)

-y

51.

Simplify: x – 3y(x – 8y) – (-6x + 7y).

a)

x + y – 3xy + 24y²

b)

x + y + 3xy – 24y²

c)

x – y + 3xy – 24y²

d)

7x – 7y – 3xy + 24y²

52.

Solve the system of equations. X + 4y + z = 10 2x + 5y + 8z = 11 3x + 6y + 12z = 15

a)

x = 1, y = 1, z = 1

b)

x = 2, y = 1, z = -1

c)

x = -1, y = 3, z = 7

d)

x = 7, y = 1, z = -1

53.

One of the outstanding astronomers who contributed notably to mathematics in the early part of seventieth century was a German Mathematician _________.

a)

Johannes Kepler

b)

Nicholas Cusa

c)

Nicolas Chuquet

d)

Johanna Muller

54.

The vertical columns in a bar graph lie on the y-axis, while the x-axis is at the ________ of the bars.

a)

coordinate

b)

side

c)

bottom

d)

top

55.

One of the outstanding astronomers who contributed notably to mathematics in the early part of seventieth century was an Italian Mathematician _________.

a)

Johannes Kepler

b)

Galilio Galilei

c)

Nicholas Chuquel

d)

Johanna Muller

56.

Arrange the following in order from the first step to the last step in simplifying algebraic expression. I. Do all exponent. II. Do addition and subtraction (from left to right). III. Do all expression in parenthesis. IV. Do all multiplication and division (from left to right).

a)

IV, III, II, I

b)

III, I, IV, II

c)

I, II, III, IV

d)

II, III, IV, I

57.

Because of the several limitations of online Mathematics classes, the teacher should focus only on ________.

a)

Technical aspect

b)

Voice control

c)

Essential content

d)

Use of graph

58.

Determine the 3rd term of (a + b)⁵

a)

5ab

b)

10a²b³

c)

10a³b²

d)

b

59.

The first step in assessment is ________.

a)

apply the appropriate intervention

b)

select the tools appropriate to process

c)

determine the intended learning outcome

d)

analyze the data gathered from sources.

60.

Which of the following relation is equivalent relation?

a)

a is congruent to b modulo n

b)

a is greater than b

c)

a is not equal to b

d)

a is less than b

61.

Solve for x: .

a)

x = 15

b)

x = 4

c)

x = 2

d)

x = 12

62.

Find the direction cosines of the x-axis.

a)

[0, 0, 1]

b)

[1, 0, 0]

c)

[0, 0, 1]

d)

[0, 1, 0]

63.

Which of the following is true?

a)

the unit interval is countable

b)

set of real numbers is countable

c)

every countable set has no countable subset

d)

union of countable sets is countable

64.

The scores in a test re arranged together with frequency of occurrence of each score. This presentation is called.

a)

Graph

b)

Outline

c)

List

d)

Table

65.

Oral and Written reports are best evaluated through the instrument that determines both quality and quantity which is the _________.

a)

Portfolio

b)

Rubrics

c)

Interview

d)

Comparison

66.

The use of technology may not be applicable in the teaching and learning higher mathematics: identify higher mathematics subject where the use of technology is not applicable.

a)

Algebra

b)

Analytic geometry

c)

Trigonometry

d)

Set theory and logic

67.

Solve the system of equation. 2x - 4y = 8 6x – 4y = 24

a)

x = 4, y = 0

b)

x = -4, y = 0

c)

x = 0, y = -4

d)

x = 0, y = 4

68.

The mathematics teacher who tells the class that the passing grade in the subject is 75% using evaluation.

a)

Impact processed

b)

Criterion referenced

c)

Norm- referenced

d)

Outcome- centered

69.

Identify the property of an invertible square matrix.

a)

Matrix is sparse

b)

Determinant of matrix is not equal to zero

c)

Matrix is diagonally dominant

d)

Matrix is symmetric

70.

The differential equation for the velocity of a body moving along a straight line with constant acceleration is given by dv/dt = a. Find the formula (model) for the velocity with the initial velocity.

a)

V = st + Vₒ

b)

V = at + Vₒ

c)

V = st - Vₒ

d)

V = at - Vₒ

71.

What is the primary mathematical tool used in artificial intelligence?

a)

Linear Algebra

b)

Business Mathematics

c)

Trigonometry

d)

Abstract Algebra

72.

Leyva Company manufactures bed. In its catalogue, a double bed is priced at P 5,000.00 less discount of 20%. What will Roxan Department Store have to pay for the bed?

a)

P 4,000.00

b)

P 4,200.00

c)

P 4,150.00

d)

P 24,100.00

73.

The probability of an event to happen is the quotient of the number favourable outcomes and the number of all outcomes was first defined by 16th century mathematician.

a)

Stephen Baldwin

b)

Giralamo Cardano

c)

Richard Dedekind

d)

Blaise Pascal

74.

The trace of the square matrix A is the sum of its diagonal elements. If A= [ ] B= [ ] Find tr(A) + tr(B).

a)

19

b)

25

c)

21

d)

24

75.

The trace of the square matrix A is the sum of its diagonal elements. If A= [ ] B= [ ] Find tr(A) + tr(B).

a)

42

b)

44

c)

64

d)

46

76.

Which of the following equation can approximately solve this problem? The average age of two friends is 19, one of them is 17 years old, how old is the other?

a)

x = (2) (19) – 19

b)

x = (2) (19) – 17

c)

x = (2) (19) + 19

d)

x = (2) (19) + 17

77.

A scholastic model which describe the current state a dynamic system using probabilities is __________.

a)

Forecasting Model

b)

Marcov Chain Model

c)

Linear Model

d)

Quadratic Model

78.

Which is true for the following system of equation? 5a + 3b = 4 3a + 2b = 3

a)

Has unique solution

b)

Nothing can be concluded

c)

Has no solution

d)

Has infinite solution

79.

If two straight lines intersect, then the vertical angles. This statement is classified as.

a)

conditional

b)

disjunction

c)

conjunction

d)

biconditional

80.

Contrary to popular impression, Euclid’s “elements” is not devoted to geometry alone but also contains a good deal of elementary algebra and _______.

a)

Prime numbers

b)

Number theory

c)

Composite number

d)

Theory of parallels

81.

In a right triangle ABC, find A if angle C is 20 30’.

a)

45 45’

b)

60 31’

c)

30 69’

d)

69 31’

82.

In a right triangle ABC, find A if angle C is 20 30’.

a)

45 45’

b)

60 31’

c)

30 69’

d)

69 31’

83.

Sir Conrad explains the Pythagorean Theorem by first giving several examples using different setting of a right triangle. After which he draws the conclusion on what Pythagorean Theorem is. Sir Conrad is using ________ method.

a)

Deductive

b)

Practice

c)

Inductive

d)

mastery

84.

Descriptive statistics uses methods to summarize a collection if data by describing what was observe using numbers or graphs. Mila obtained the following results from here mathematics examinations: 75, 80, 90, 85. What score must she get on the next examination so that her average score is 85?

a)

95

b)

90

c)

80

d)

88

85.

What does the figure shows?

a)

Same positive correlation

b)

Same negative correlation

c)

Perfect positive correlation

d)

Perfect negative correlation

86.

On what treaty did Albert Girard published the abbreviation sin, cos, tan?

a)

Abstract Algebra

b)

Number Theory

c)

Trigonometry

d)

Calculus

87.

Identify the conic section represented by 3x² - 4x + 6y = 0.

a)

Hyperbola

b)

Circle

c)

Parabola

d)

Ellipse

88.

Determine the correct formula for factorial.

a)

n(n + 1) / 2

b)

1² + 2² + 3² + n²

c)

1 x 2 x 3 x ...n(n + 1) x n

d)

1 + 2 + 3 ... + n

89.

A ten year old primary school boy, was given by his teacher the task to add the counting numbers from 1 to 100. Within seconds, this young boy found the correct answer and grew up to be_____.

a)

Bernhard Muller

b)

Carl Gauss

c)

Johannes Kepler

d)

Francois Viete

90.

Mathematics is the queen of sciences and number theory is the queen of mathematics.

a)

Carl Gauss

b)

Isaac Newton

c)

Albert Einstein

d)

Rene Descartes

91.

A random variable, usually written X, is a variable whose possible values are ______ outcomes of a phenomenon.

a)

Integer

b)

Numerical

c)

Symbols

d)

Variables

92.

The connection of the (AVB)’ = 1; AB is the electric circuit of

a)

A is ON and B is OFF

b)

Either A and B is OFF

c)

A is OFF and B is ON

d)

Both A and B is OFF

93.

Number theory is the study of __.

a)

Symbolic expression

b)

Number expression

c)

Positive integer

d)

Negative integer

94.

Solve: ∫.

a)

x + c

b)

x² - 3x + c

c)

x² - 3x + x + c

d)

-

95.

Solve: .

a)

50

b)

64

c)

48

d)

31

96.

What is the total amount due on P 20,000 if this is invested at 10% annual simple interest for 5 years?

a)

P 15,000

b)

P 10,000

c)

P 30,000

d)

P 26,000

97.

Three of his extant works are devoted to plane geometry. They are measurement of circle, quadrative of a parabola, and spirals.

a)

Galilio

b)

Archimedes

c)

Girard

d)

Viete

98.

A set S has distinct elements. Find the number of ways of arranging the elements of the set.

a)

n

b)

1*2*3...n

c)

d)

2n

99.

Find the area of the region bounded by the curves: y=x², y=x.

a)

3/4

b)

1/6

c)

1/2

d)

1/3

100.

Quantity: Number Theory Space: ______________.

a)

Calculus

b)

Geometry

c)

Arithmetic

d)

Algebra

101.

A lot of technology application is utilized in which branch of algebra?

a)

Elementary

b)

Abstract algebra

c)

Linear algebra

d)

Advance algebra

102.

The teacher who motivates the students to apply the mathematics concepts they learned in role playing, drama skit in the market or in the kitchen is using ________ assessment.

a)

Summative

b)

Authentic

c)

Formative

d)

Ipsative

103.

How long will it take for Carol and Tessa together to finish encoding a manuscript which can be done by Carol alone in 6 days and Tessa alone in 3 days?

a)

3 days

b)

2 days

c)

4 days

d)

1 day

104.

Evaluate: .

a)

0

b)

1

c)

5/6

d)

6/5

105.

Evaluate: sin .

a)

√√

b)

-√√

c)

√√

d)

√√

106.

Which is true for the following set of expressions? 2x – 5y + z = -10 x + 2y = 3z = 20 -3x – 4y + 2z = 5

a)

system has 3 solutions

b)

system has infinitely solution

c)

system has unique solution

d)

system has no solution

107.

Annual interest at 8% for 3 months on P 6,000 is _______.

a)

P120

b)

P160

c)

P120

d)

P480

108.

What property is being describe, if A = B, and B = C, then A = C?

a)

Transitive property

b)

Additive property

c)

Substitution property

d)

Symmetric property

109.

Find the center of the equation x² + y² = 25.

a)

(1, 1)

b)

(1, 0)

c)

(0, 1)

d)

(0, 0)

110.

Find the equivalent statement of A – B.

a)

A’B’

b)

A’B

c)

AB

d)

AB’

111.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 2

d)

x = 3

112.

If a particle is moving in space with a velocity function, v(t)=t -2t-8 where t is in seconds and velocity is measured in meters per second. What is the acceleration of the particle at t=3 seconds?

a)

3 m/s^2

b)

4 m/s^2

c)

5 m/s^2

d)

6 m/s^2

113.

The trace of the square matrix A is the sum of its diagonal elements. If A= [ ] B= [ ] Find the relationship between tr(A+B) and tr(A) + tr(B)

a)

Tr(A+B) Tr(A) + Tr(B)

b)

Tr(A+B) Tr(A) + Tr(B)

c)

Tr(A+B) Tr(A) + Tr(B)

d)

Tr(A+B) = Tr(A) + Tr(B)

114.

Determine the determinants of M. M= [ ]

a)

64

b)

-186

c)

250

d)

-122

115.

If [ ] [ ] = [ ], find [ ].

a)

[ ]

b)

[ ]

c)

[ ]

d)

[ ]

116.

Find the direction numbers for the line that join the points (1, 3, 4) and (-2, 3, 7).

a)

[1, -1, 0]

b)

[1, -1, 2]

c)

[1, 0, -1]

d)

[-1, 0, 1]

117.

Who gave the most authentic assessment task for instructional objectives “Solve word problem involving operation with fractions”.

a)

Mrs. D who required her students to solve a set of problems on operations with fractions.

b)

Mr. P who asked his students to construct a word problem given a number sentence involving operations on fractions and then solve the problem they have constructed.

c)

Mr. I who asked students to construct any word problems on operation with fraction then formed pairs, exchanged problems and helped each other solve the problems.

d)

Mrs. P who required her students any word problem involving operations on fraction and then show how to solve them.

118.

sin² x + cos² x = 3/2

a)

no solution

b)

all x ˂

c)

infinitely many solution

d)

all x 0

119.

It is a graph that shows the frequency of numerical data using rectangles.

a)

Line graph

b)

Scatter plot

c)

Histogram

d)

Frequency polygon