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Worksheets

MESL NI ENGR.

Total questions: 95

Worksheet time: 48mins

Name
Class
Date
1.

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

a)

Odd symmetry

b)

Even symmetry

c)

Rotational symmetry

d)

Quarter-wave symmetry

2.

Which number has four significant figures?

a)

0.0014

b)

0.01414

c)

0.141

d)

1.4140

3.

Naperian logarithm has a base closest to which number?

a)

2.17

b)

2.72

c)

3.14

d)

10

4.

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

a)

An exponential

b)

A sinusoid

c)

A tangent

d)

A parabola

5.

To find the angle of a triangle, given only the lengths of the sides, one would use

a)

The law of cosines

b)

The law of sines

c)

The law of tangents

d)

The inverse-square law

6.

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

a)

The tangent is positive

b)

The cotangent is positive

c)

The cosine is negative

d)

The sine is negative

7.

What is the inverse natural function of cosecant?

a)

Secant

b)

Sine

c)

Cosine

d)

Cotangent

8.

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

a)

Histogram

b)

Kurtosis

c)

Lepticurtic

d)

Ogive

9.

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

a)

Axiom

b)

Hypothesis

c)

Corollary

d)

Conclusion

10.

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

a)

Arithmetic progression

b)

Infinite progression

c)

Geometric progression

d)

Harmonic progression

11.

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

a)

Histogram

b)

Ogive

c)

Frequency distribution

d)

Bar graph

12.

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

a)

Hyperbolic solution

b)

Zeros of function

c)

Extraneous roots

d)

Trivial solution

13.

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

a)

greater than

b)

equal to

c)

lesser than

d)

none of the above

14.

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

a)

Symmetric Axiom

b)

Reflexive Axiom

c)

Transitive Axiom

d)

Replacement Axiom

15.

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)

Pa - Pab

b)

Pb - Pab

c)

Pa × Pb

d)

none of the above

16.

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

a)

Solution set

b)

Degree

c)

Order

d)

Variable set

17.

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

a)

Zero

b)

Positive integer

c)

Negative integer

d)

Unity

18.

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

a)

Ratio and proportion

b)

Means

c)

Extremes

d)

Constant of variations

19.

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

a)

Geometric progression

b)

Harmonic progression

c)

Algebraic progression

d)

Ratio and proportion

20.

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

a)

Transposed matrix

b)

Cofactor of a matrix

c)

Matrix

d)

Determinant

21.

Binary number system is a system of notation for real number that uses the place value method with 2 as the base. What is another name for the binary number system?

a)

Binary digits

b)

Binumber system

c)

Dyadic number system

d)

Bits

22.

The number 0.123123123... is a/an

a)

Irrational number

b)

Surd

c)

Rational number

d)

Transcendental

23.

MCMXCIV is the Roman numeral equivalent to

a)

1974

b)

1984

c)

1994

d)

2994

24.

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

a)

Dissonant series

b)

Convergent series

c)

Divergent series

d)

Isometric series

25.

Terms that differs only in numeric coefficients are known as

a)

Unlike terms

b)

Unequal terms

c)

Like terms

d)

Similar equations

26.

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

a)

Argand diagram

b)

Venn diagram

c)

Maxwell diagram

d)

Cartesian diagram

27.

7 + 0i is

a)

An irrational number

b)

Real number

c)

Imaginary number

d)

A variable

28.

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

a)

Odd

b)

Combination

c)

Permutation

d)

Probability

29.

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

a)

x + y

b)

y - x

c)

10y + x

d)

10x - y

30.

A statement of truth which is admitted without proof.

a)

Axiom

b)

Theorem

c)

Postulate

d)

Corollary

31.

The part of theorem which assumed to be true.

a)

Corollary

b)

Hypothesis

c)

Postulate

d)

Conclusion

32.

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

a)

Corollary

b)

Axiom

c)

Postulate

d)

Conclusion

33.

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

a)

Corollary

b)

Theorem

c)

Postulate

d)

Hypothesis

34.

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

a)

Fallacy

b)

Conjecture

c)

Theorem

d)

Paradox

35.

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

a)

Lemma

b)

Hypothesis

c)

Postulate

d)

Corollary

36.

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

a)

Theorems

b)

Corollaries

c)

Conclusions

d)

Postulates

37.

A ________ is an ancillary theorem whose result is not target for the proof

a)

Postulate

b)

Lemma

c)

Hypothesis

d)

Conclusion

38.

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

a)

Worth

b)

Correct

c)

True

d)

Perfect

39.

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

a)

Lemma

b)

Hypothesis

c)

Postulate

d)

Theorem

40.

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

a)

Associative law of addition

b)

Associative law of multiplication

c)

Commutative law of multiplication

d)

Distributive law of multiplication

41.

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

a)

Reflexive law

b)

Law of symmetry

c)

Transitive law

d)

Substitution law

42.

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

a)

Reflexive law

b)

Law of symmetry

c)

Transitive law

d)

Substitution law

43.

If a = b, and b = c, then a = c. This illustrates

a)

Reflexive law

b)

Law of symmetry

c)

Transitive law

d)

Substitution law

44.

The axiom which relates addition and multiplication is the ____ law.

a)

Commutative

b)

Associative

c)

Distributive

d)

None of the above

45.

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

46.

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

a)

Multinomial

b)

Summation

c)

Binomial

d)

Monomial

47.

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

a)

Linear equation

b)

Rational equation

c)

Conditional equation

d)

Irrational equation

48.

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)

Defective equation

49.

An equation in which the variable appear under the radical symbol.

a)

Irradical equation

b)

Irrational equation

c)

Quadratic equation

d)

Linear equation

50.

An equation in 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

51.

Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as

a)

Redundant equation

b)

Literal equation

c)

Linear equation

d)

Defective equation

52.

An algebraic expression which can be represented as a quotient of two polynomials.

a)

Irrational algebraic expression

b)

Reduced algebraic expression

c)

Rational algebraic expression

d)

Complex algebraic expression

53.

A statement containing one or more variables and having the property that it becomes either true or false when variables are given specific values from their domains.

a)

Solution

b)

Problem

c)

Open sentence

d)

Worded problem

54.

Any algebraic term is a/an _______ term in certain representing numbers if it consists of the product of possible integral powers of these numbers and a factor not containing them.

a)

Integral

b)

Rational

c)

Irrational

d)

Integral rational

55.

An equation in x and y which is not easily solved for y in terms of x is called

a)

Explicit

b)

Implicit function

c)

Discontinuity

d)

Quadratic

56.

The number which are represented with letters.

a)

Variables

b)

Unknowns

c)

Literal numbers

d)

Terms

57.

Equation whose members are equal only for certain or possibly no value of the unknown.

a)

Conditional equations

b)

Inequalities

c)

Unconditional equations

d)

Temporary equations

58.

An algebraic expression consisting of one term.

a)

Monomial

b)

Binomial

c)

Linear

d)

Monomode

59.

In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.

a)

Expression

b)

Term

c)

Equation

d)

Coefficient

60.

An expression of two terms is called

a)

Polynomial

b)

Duonomial

c)

Binomial

d)

All of the above

61.

The degree of the polynomial or equation is the

a)

Maximum exponent

b)

Maximum sum of exponents

c)

Exponent of the first variable

d)

Maximum exponent of x

62.

What is the degree of the polynomial 3x^4y + y + 2x^3z^3 - 4yz^2?

a)

6th

b)

5th

c)

4th

d)

3rd

63.

Any fractions which contains one or more fractions in either numerator or denominator, or both is called

a)

Compound fraction

b)

Composite fraction

c)

Complex fraction

d)

All of the above

64.

A common fraction with unity for numerator and a positive as denominator (i.e. 1/n).

a)

Ordinary fraction

b)

Unit fraction

c)

Common fraction

d)

Improper fraction

65.

If the absolute value of the numerator of a fraction is smaller than the denominator, it is called

a)

Proper fraction

b)

Improper fraction

c)

Decimal fraction

d)

Mixed number

66.

A number that consists of an integer part (which may be zero) and a decimal part less than unity that follows the decimal marker, which may be a point or a comma.

a)

Proper fraction

b)

Improper fraction

c)

Decimal fraction

d)

Mixed number

67.

Considered as the “counting numbers”.

a)

Integers

b)

Rational numbers

c)

Irrational numbers

d)

Natural numbers

68.

A number represented by a non-terminating, non-repeating decimal.

a)

Irrational number

b)

Rational number

c)

Natural number

d)

Integer

69.

The completeness axiom proved that the real number system has numbers other than

a)

Integers

b)

Rational numbers

c)

Natural number

d)

Irrational numbers

70.

The concept of spread of a random variable or a set of observations.

a)

Variance

b)

Standard deviation

c)

Dispersion

d)

Range

71.

A number containing a non-terminating but repeating decimal is a/an

a)

Integer

b)

Rational number

c)

Natural number

d)

Irrational number

72.

A positive integer which has no perfect-square factor greater than 1.

a)

Radical expression

b)

Square integer

c)

Square integer

d)

Square-free integer

73.

Which of the following is not classified as an integer?

a)

Negative number

b)

Positive number

c)

Zero

d)

Imaginary number

74.

When an imaginary number is raised to n even exponent, it

a)

Becomes infinite

b)

Becomes negative imaginary number

c)

Becomes relatively small number

d)

Becomes real number

75.

The complex number is in the form of a + bi. If a = 0, what do you call the resulting number?

a)

Absolute value of the complex number

b)

Pure imaginary number

c)

Argument

d)

Irrational number

76.

For a complex number a + bi, the real number is ________ of the complex number.

a)

Absolute value

b)

Magnitude

c)

Modulus

d)

All of the above

77.

The ______ of two complex numbers is found by multiplying each term of the one by the term of the other.

a)

Sum

b)

Difference

c)

Product

d)

Quotient

78.

A number which can be expressed as a quotient of two integers (division of zero excluded) is called

a)

Irrational number

b)

Rational number

c)

Imaginary number

d)

Real number

79.

A prime number has exactly how many divisors?

a)

1

b)

2

c)

3

d)

4

80.

A prime number is an integer greater than 1 which has

a)

1 as its only positive divisor

b)

Itself as its only positive divisor

c)

1 and itself as its only positive divisors

d)

1 and its additive inverse as its only positive divisor

81.

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

82.

A composite number has at least _____ divisors.

a)

1

b)

2

c)

3

d)

4

83.

Two natural numbers, ‘a’ and ‘b’, are _______ if their greatest common divisor is 1.

a)

Relatively prime

b)

Relatively composite

c)

Equal

d)

Reciprocal

84.

Numbers used to count the objects or ideas in a given collection.

a)

Cardinal numbers

b)

Irrational numbers

c)

Ordinal numbers

d)

Numerals

85.

Number which is used to state the position of individual objects in a sequence.

a)

Cardinal numbers

b)

Irrational numbers

c)

Ordinal numbers

d)

Numerals

86.

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

87.

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

88.

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

89.

What is the smallest perfect number possible?

a)

1

b)

6

c)

12

d)

8

90.

All perfect numbers are

a)

Even numbers

b)

Odd numbers

c)

Prime numbers

d)

Composite numbers

91.

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

92.

What is another name for amicable numbers?

a)

Compatible numbers

b)

Friendly numbers

c)

Fermat’s numbers

d)

Inconsistent numbers

93.

What is the smallest pair of friendly number?

a)

180 and 190

b)

200 and 120

c)

220 and 284

d)

220 and 264

94.

Prime numbers that appear in pair and differ by 2 (eg. And 5, 11 and 13 etc.) are called

a)

Mersenne primes

b)

Prime number theorem

c)

Twin primes

d)

Pseudo primes

95.

“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 conjuncture

c)

Prime number theorem

d)