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MESL ELEMENTS NO. 2

Total questions: 92

Worksheet time: 51mins

Name
Class
Date
1.

If a = a , then it illustrates what law of identity?

4 lines
2.

Division of a population or same into two groups based either on measurable variables (e.g. age under 18, age over 180) or on attributes (e.g. male, female).

4 lines
3.

A statement of truth of which follows with little or no proof from a theorem

a)

A. axiom

b)

B. hypothesis

c)

C. corollary

d)

D. conclusion

4.

Binary number system is a system of notation for real number that uses the place method with 2 as the base, what is another name of binary number system

a)

A. binary digits

b)

B. binumber system

c)

C. dyadic number system

d)

D. bits

5.

Two or more equation are equal if and only if they have the same

a)

A. solution set

b)

B. degree

c)

C. order

d)

D. variable set

6.

MCMXCIV is the roman numeral equivalent to

a)

A. 1974

b)

B. 1984

c)

C. 1994

d)

D. 2994

7.

In complex algebra, we use diagram to represent complex plane commonly called

a)

A. Argand diagram

b)

B. Venn diagram

c)

C. Maxwell diagram

d)

D. Cartesian diagram

8.

The number 0.123123123.... is a/an

a)

A. irrational number

b)

B. surd

c)

C. rational number

d)

D. transcendental

9.

An equation in which the variable appear under the radical symbol

a)

irradical equation

b)

irrational equation

c)

quadratic equation

d)

linear equation

10.

In any square matrix, when the elements of any two rows are exactly the same, the determinant is

a)

A. zero

b)

B. positive integer

c)

C. negative integer

d)

D. unity

11.

Which is true regarding the signs of the natural functions for angles between 90° and 180°?

a)

A. the tangent is positive

b)

B. the cotangent is positive

c)

C. the cosine is negative

d)

D. the sine is negative

12.

To find the angle of the triangle given only the lengths of the

a)

A. The law of cosines

b)

B. the law of sines

c)

C. the law of tangents

d)

D. the inverse-square law

13.

Is a sequence of terms whose reciprocals form an arithmetic progression?

a)

A. geometric progression

b)

B. harmonic progression

c)

C. algebraic progression

d)

D. ratio and proportion

14.

A sequence of numbers where the succeeding term is greater than the preceding term is called

a)

A. dissonant series

b)

B. convergent series

c)

C. divergent series

d)

D. isometric series

15.

The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ____

a)

A. histogram

b)

B. kurtosis

c)

C. lepticurtic

d)

D. ogive

16.

7 + 0i is?

a)

A. an irrational number

b)

B. real number

c)

C. imaginary number

d)

D. a variable

17.

What is the inverse natural function of the cosecant?

a)

A. secant

b)

B. sine

c)

C. cosine

d)

D. cotangent

18.

Convergent series is a sequence of decreasing number or when the succeeding term is ____ the preceding term.

a)

A. greater than

b)

B. equal to

c)

C. lesser than

d)

D. none of the above

19.

An array m x n quantities which represent a single number system composed of elements in rows and columns is known as

a)

A. transposed matrix

b)

B. cofactor of a matrix

c)

C. matrix

d)

D. determinant

20.

Terms that differs only in numeric coefficients are known as

a)

A. unlike terms

b)

B. unequal terms

c)

C. like terms

d)

D. similar equations

21.

Naperian logarithm have a base closest to which number?

a)

A. 2.17

b)

B. 2.72

c)

C. 3.14

d)

D. 10

22.

It is a sequence of numbers such that the successive terms differ by a constant.

a)

A. arithmetic progression

b)

B. infinite progression

c)

C. geometric progression

d)

D. harmonic progression

23.

If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is

a)

A. an exponential

b)

B. a sinusoid

c)

C. a tangent

d)

D. a parabola

24.

If the roots of an equation are zero, then they are classified as

a)

A. hyperbolic solution

b)

B. zeros of function

c)

C. extraneous roots

d)

D. trivial roots

25.

For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?

a)

A. odd symmetry

b)

B. even symmetry

c)

C. Rotational symmetry

d)

D. Quarter-wave symmetry

26.

The ratio or product of two expressions in direct or inverse relation with each other is called

a)

A. ratio and proportion

b)

B. means

c)

C. extremes

d)

D. constant of variation

27.

If a = b then b = a. This illustrates what axiom in algebra?

a)

A. symmetric axiom

b)

B. reflexive axiom

c)

C. transitive axiom

d)

D. replacement axiom

28.

A and B are independent events. The probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?

a)

A. Pa - Pb

b)

B. Pb - Pab

c)

C. Pa x Pb

d)

D. Pab/Pa

29.

Which number has four significant figures?

a)

A. 0.0014

b)

B. 0.01414

c)

C. 0.141

d)

D. 1.4140

30.

A prime number is an integer greater than 1 which has A. 1 as its only positive divisor B. itself as only positive divisor C. 1 and itself as its only positive divisors D. 1 and its additive inverse as its only positive divisor

a)

A

b)

B

c)

C

d)

D

31.

Number used to count the objects or ideas in a given collection. A. cardinal numbers B. irrational numbers C. ordinal numbers D. numerals

a)

A

b)

B

c)

C

d)

D

32.

All perfect numbers are A. even numbers B. odd numbers C. prime numbers D. composite numbers

a)

A

b)

B

c)

C

d)

D

33.

An integer the sum of all its possible divisors except the number itself is less than the integer is called A. abundant number B. amicable number C. friendly number D. defective number

a)

A

b)

B

c)

C

d)

D

34.

A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.

a)

A. histogram

b)

B. ogive

c)

C. frequency of distribution

d)

D. bar graph

35.

An integer which is the product of two integers, both different from 1 and -1 is called A. prime number B. composite number C. rational number D. compound number

a)

A

b)

B

c)

C

d)

D

36.

Numbers which is used to state the position of individual objects in a sequence. A. cardinal numbers B. irrational numbers C. ordinal numbers D. numerals

a)

A

b)

B

c)

C

d)

D

37.

An equation which, because of some mathematical process, has required an extra root is sometimes called as

a)

redundant equation

b)

literal equation

c)

linear equation

d)

defective equation

38.

An integer number that is equal to the sum of all its possible divisors except the number itself is called A. amicable number B. perfect number C. defective number D. redundant number

a)

A

b)

B

c)

C

d)

D

39.

What is another name for amicable numbers? A. compatible numbers B. friendly numbers C. Fermats numbers D. Inconsistent numbers

a)

A

b)

B

c)

C

d)

D

40.

Prime numbers that appear in pair and differ by 2 (e.g. 3 and 5, 11 and 13 etc.) are called A. Mersenne primes B. prime number theorem MESL ELEMENTS NO. 2 C. twin primes D. pseudo primes

a)

A

b)

B

c)

C

d)

D

41.

The _____ is the square root of the product of the extremes. A. antecedent B. consequent C. mean proportional D. mean

a)

A

b)

B

c)

C

d)

D

42.

A statement of truth which is admitted without proof

a)

A. axiom

b)

B. theorem

c)

C. postulate

d)

D. corollary

43.

The second term of a ratio is called A. antecedent B. mean C. consequent D. extreme

a)

A

b)

B

c)

C

d)

D

44.

A ______ is an ancillary theorem whose results is not for the proof

a)

A. postulate

b)

B. lemma

c)

C. hypothesis

d)

D. conclusion

45.

An integer the sum of all its possible divisors except the number itself is greater than the integer is called A. abundant number B. perfect number C. defective number D. amicable number

a)

A

b)

B

c)

C

d)

D

46.

In the proportion of four quantities, the first and fourth terms are referred to as the A. means B. extremes C. denominators D. numerators

a)

A

b)

B

c)

C

d)

D

47.

“Every even integer greater than 2 can be written as the sum of two primes”. This is known as A. Fermat’s last theorem B. Goldbach conjecture C. Prime number theory D. Mersenne primes

a)

A

b)

B

c)

C

d)

D

48.

“Every positive integer greater than 1 is a prime or can be expresses as a unique product of primes and powers”. This is known as A. Fundamental theorem of arithmetic B. Pseudo prime theorem C. Prime number theorem D. Mersenne’s Theorem

a)

A

b)

B

c)

C

d)

D

49.

The first term of a ratio is called A. antecedent B. consequent C. mean D. extreme

a)

A

b)

B

c)

C

d)

D

50.

The part of theorem which is assumed to be true

a)

A. corollary

b)

B. hypothesis

c)

C. postulate

d)

D. conclusion

51.

What law of identity?

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

52.

“Every sufficiently large off number can be expresses as a sum of three prime numbers” this is known as A. Goldbach conjecture B. Vinogradov’s theorem C. Pascal’s Law D. Mersenne’e theorem

a)

A

b)

B

c)

C

d)

D

53.

Any combination of symbols and numbers related by the fundamental operation of algebra is called a/an

a)

equation

b)

algebraic expression

c)

term

d)

algebraic sum

54.

In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called

a)

A. lemma

b)

B. hypothesis

c)

C. postulate

d)

D. theorem

55.

A mathematical statement which has neither been proved nor denied by counterexamples

a)

A. fallacy

b)

B. conjecture

c)

C. theorem

d)

D. paradox

56.

Statements that are accepted without discussion or proof are called axioms. The word “axiom” comes from the Greek “axioma” which means

a)

A. worth

b)

B. correct

c)

C. true

d)

D. perfect

57.

An equation in which some or all of the known quantities are represented by letters is called

a)

redundant equation

b)

literal equation

c)

linear equation

d)

irrational equation

58.

Axioms are propositions of a general logical nature (about equal or unequal) while ______ are propositions concerning objects and constructions.

a)

A. theorems

b)

B. corollaries

c)

C. conclusions

d)

D. postulates

59.

If a two digit number has x for its unit digit and y for its tens digit, the number is represented as

a)

A. x + y

b)

B. y – x

c)

C. 10y + x

d)

D. 10x – y

60.

The axiom which related addition and multiplication is the ______ law

a)

commutative

b)

associative

c)

distributive

d)

none of the above

61.

A proved proposition which is useful mainly as preliminary to the proof of a theorem

a)

A. lemma

b)

B. hypothesis

c)

C. postulate

d)

D. corollary

62.

What is the smallest perfect number possible? A. 1 B. 6 C. 12 D. 8

a)

A

b)

B

c)

C

d)

D

63.

An equation which is satisfied by all values of the variables for which the members of equation defined is known as

a)

linear equation

b)

rational equation

c)

conditional equation

d)

irrational equation

64.

Two integer numbers are said to be ____ if each is the sum of all possible divisors of the other. A. perfect numbers B. defective numbers C. amicable numbers D. Fermat’s numbers

a)

A

b)

B

c)

C

d)

D

65.

The term “ratio” comes from Latin verb “ratus” meaning A. to divide B. to estimate C. to get the mean D. to make a proportion

a)

A

b)

B

c)

C

d)

D

66.

The number of successful outcomes divided by the number of possible outcomes is

a)

A. odd

b)

B. combination

c)

C. permutation

d)

D. probability

67.

The algebraic expression consisting of a sum of any number of terms is called a

a)

multinomial

b)

summation

c)

binomial

d)

monomial

68.

A composite number has at least ____ divisors. A. 1 B. 2 C. 3 D. 4

a)

A

b)

B

c)

C

d)

D

69.

Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof

a)

A. corollary

b)

B. theorem

c)

C. postulate

d)

D. hypothesis

70.

An inequality is preserved if both sides are multiplied by A. zero B. – 1 C. a positive number D. a negative number

a)

A

b)

B

c)

C

d)

D

71.

If a = b, then b can replace a in any equation. This illustrates what law of identity?

a)

A. reflexive law

b)

B. law of symmetry

c)

C. transitive law

d)

D. substitution law

72.

If the means of a proportion are equal, their common value is called A. mean B. extreme C. mean proportional D. extreme proportional

a)

A

b)

B

c)

C

d)

D

73.

“The product of two or more number is the same in whatever order they are multiplied “. This refers to

a)

A. Associative law of addition

b)

B. associative law of multiplication

c)

C. commutative law of multiplication

d)

D. distributive law of multiplication

74.

Using Cramer’s rule, the determinant of the coefficient is always the A. numerator of a quotient B. denominator of the quotient C. the quotient itself D. none of the above

a)

A

b)

B

c)

C

d)

D

75.

Two natural numbers a and b are ________. If their greatest common divisor is one. A. relatively prime B. relatively composite C. equal D. reciprocal

a)

A

b)

B

c)

C

d)

D

76.

If there are as many equations as unknowns, the matrix of the coefficient is a A. row matrix B. column matrix C. square matrix D. rectangular matrix

a)

A

b)

B

c)

C

d)

D

77.

A method of solving linear equation with several unknowns simultaneously using determinants. A. Simpson’s rule B. Cramer’s rule C. Trapezoidal rule D. Chain rule

a)

A

b)

B

c)

C

d)

D

78.

The theorem that in every arithmetic progression a, a + d, a = 2d,..., where a and d are relatively prime. A. Fibonacci theorem B. Gauss theorem C. Lejeune theorem D. Dirichlet Theorem

a)

A

b)

B

c)

C

d)

D

79.

An inequality is reversed if both sides are multiplied by A. zero B. – 1 C. a positive number D. a negative number

a)

A

b)

B

c)

C

d)

D

80.

An array of m x n quantities which represent a single number and is composed of elements in rows and columns is known as A. transpose of a matrix B. determinant C. co-factor of a matrix D. matrix

a)

A

b)

B

c)

C

d)

D

81.

A 3 x 2 matrix can be multiplied to a A. 3 x 2 matrix B. 3 x 3 matrix C. 2 x 5 matrix D. row matrix

a)

A

b)

B

c)

C

d)

D

82.

When the corresponding elements of two rows of a determinant are proportional, then the value of the determinant is A. one B. indeterminate MESL ELEMENTS NO. 2 C. infinite D. zero

a)

A

b)

B

c)

C

d)

D

83.

An irrational number which is a root of a positive integer of fraction is called A. radical B. radix C. surd D. radicant

a)

A

b)

B

c)

C

d)

D

84.

If a = b and b = c , then a = c this illustrates

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

85.

When two rows are interchanged in position, the value of the determinant will A. remain unchanged B. be multiplied by – 1 C. become zero D. become infinite value

a)

A

b)

B

c)

C

d)

D

86.

If two rows of a determinant are interchange, the determinant A. changes sign B. changes sign and value C. remains unchanged D. becomes the inverse of the former

a)

A

b)

B

c)

C

d)

D

87.

If every elements of a row (or column) are multiplied by a constant, k, then the value of the determinant is A. multiplied by – k B. zero C. one D. multiplied by k

a)

A

b)

B

c)

C

d)

D

88.

Which of the following cannot be an operation of matrices? A. addition B. subtraction C. multiplication D. division

a)

A

b)

B

c)

C

d)

D

89.

What is the smallest pair of friendly number? A. 180 and 190 B. 200 and 120 C. 220 and 284 D. 220 and 264

a)

A

b)

B

c)

C

d)

D

90.

If a = a , then it illustrates what law of identity?

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

91.

In any square matrix, when the elements of any two rows are exactly the same (i.e. row 1 = row 2 = row 3, or row 2 = row 3...), the determinant is A. zero B. positive integer C. negative integer D. unity

a)

A

b)

B

c)

C

d)

D

92.

A statement of truth which follows with little or no proof from the theorem

a)

A. corollary

b)

B. axiom

c)

C. postulate

d)

D. conclusion