Mathematics Practice Tests 5 - PLS Academy

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Created by Ali Durrani

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Math Practice Test 5

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1 / 100

Category: Math Ch 3

2 / 100

Category: Math Ch 6

A sequence is function whose domain is

3 / 100

Category: Math Ch 7 Class 12

4 / 100

Category: Math Ch 4

The complex cube roots of unity are………………. each other.

Multiplicative inverse

reciprocal

square

None of these

5 / 100

Category: Math Ch 7 Class 12

If ? be the set of real numbers, then the Cartesian plane is defined as

?2 = {(?2, ?2): ?, ? ∈ ?}

R2 = {(?, ?): ?, ? ∈ ?}

?2 = {(?, ?): ?, ? ∈ ?, ? = −?}

?2 = {(?, ?): ?, ? ∈ ?, ? = ?}

6 / 100

Category: Math Ch 13

7 / 100

Category: Math Ch 7 Class 12

The angles ?, ?, ??? ? which a non-zero vector ? makes with ? − ????, ? − ???? and
? − ???? respectively are called_____________ of ?.

Direction cosines

direction ratios

direction angles

inclinations

8 / 100

Category: Math Ch 7 Class 12

. If the dot product of two vectors is zero, then the vectors must be

Parallel

orthogonal

reciprocal

equal

9 / 100

Category: Math Ch 6

10 / 100

Category: Math Ch 7 Class 12

11 / 100

Category: Math Ch 14

12 / 100

Category: Math Ch 9

3600th part of ?° is equal to

1’

1’’

60’’

3600’’

13 / 100

Category: Math Ch 3 Class 12

14 / 100

Category: Math Ch 11

Curves of the trigonometric functions repeat after fixed intervals because trigonometric
functions are

Simple

linear

quadratic

periodic

15 / 100

Category: Math Ch 3

16 / 100

Category: Math Ch 5

17 / 100

Category: Math Ch 2 Class 12

18 / 100

Category: Math Ch 3

If all entries of a square matrix of order ? is multiplied by ?, then value of |??| is equal to:

?|?|

?^2 |?|

?^3 |?|

|?|

19 / 100

Category: Math Ch 9

The angle subtended at the center of a circle by an arc whose length is equal to the radius of
the circle is called:

1 Degree

1’

1 Radian

1’’

20 / 100

Category: Math Ch 7 Class 12

. If the scalar product of three vectors is zero, then vectors are

Collinear

coplanar

non coplanar

non-collinear

21 / 100

Category: Math Ch 9

22 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

23 / 100

Category: Math Ch 12

24 / 100

Category: Math Ch 5 Class 12

A function which is to be maximized or minimized is called______ function

Subjective

objective

qualitative

quantitative

25 / 100

Category: Math Ch 3 Class 12

26 / 100

Category: Math Ch 1

The numbers which can be written in the form of ?/? , ?, ? ∈ ? , ? ≠ ? are :

Rational number

Irrational number

Complex number

Whole number

27 / 100

Category: Math Ch 7

28 / 100

Category: Math Ch 12

29 / 100

Category: Math Ch 13

30 / 100

Category: Math Ch 7 Class 12

31 / 100

Category: Math Ch 7 Class 12

32 / 100

Category: Math Ch 13

33 / 100

Category: Math Ch 2 Class 12

34 / 100

Category: Math Ch 3

In a homogeneous system of linear equations , the solution (0,0,0) is:

Trivial solution

non trivial solution

exact solution

anti symmetric

35 / 100

Category: Math Ch 6 Class 12

36 / 100

Category: Math Ch 6 Class 12

All lines through vertex and points on circle generate a

Circle

Ellipse

Circular cone

None of these

37 / 100

Category: Math Ch 2

Squaring a number is a:

Unary operation

binary operation

relation

Function

38 / 100

Category: Math Ch 8

39 / 100

Category: Math Ch 7 Class 12

40 / 100

Category: Math Ch 3

Which of the property does not hold matrix multiplication?

Associative

Commutative

Closure

Inverse

41 / 100

Category: Math Ch 4 Class 12

The centroid of a triangle divides each median in the ration of

2:1

1:2

1:1

None of these

42 / 100

Category: Math Ch 3

11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:

Main diagonal

primary diagonal

proceding diagonal

secondary diagonal

43 / 100

Category: Math Ch 2 Class 12

44 / 100

Category: Math Ch 3 Class 12

The equation ? = ?? − ?? + ? represents ( ? being a parameter )
(Error Comment below the anwser)

One parabola

family of parabolas

family of line

two parabolas

45 / 100

Category: Math Ch 9

Sexagesimal system is also called

German System

English System

C.G.S System

SI System

46 / 100

Category: Math Ch 7

47 / 100

Category: Math Ch 4 Class 12

The Normal form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

48 / 100

Category: Math Ch 3 Class 12

49 / 100

Category: Math Ch 7 Class 12

If any two vectors of scalar triple product are equal, then its value is equal to

-1

50 / 100

Category: Math Ch 13

51 / 100

Category: Math Ch 10

52 / 100

Category: Math Ch 3 Class 12

53 / 100

Category: Math Ch 13

54 / 100

Category: Math Ch 4

Solution set of the equation ?^? − ?? + ? = ? is:

{2, −2}

{2}

{−2}

{4, −4}

55 / 100

Category: Math

Inverse of any element of a group is:

Not unique

unique

has many inverses

none of these

56 / 100

Category: Math Ch 3

57 / 100

Category: Math Ch 13

58 / 100

Category: Math Ch 11

59 / 100

Category: Math Ch 12

A triangle which is not right is called:

Oblique triangle

Isosceles triangle

Scalene triangle

Right isosceles

60 / 100

Category: Math Ch 2 Class 12

61 / 100

Category: Math Ch 6 Class 12

The foci of hyperbola always lie on :

? − ????

?????????? ???s

? − ????

Conjugate axis

62 / 100

Category: Math Ch 2 Class 12

The maximum value of the function ?(?) = ?^? − ? − ? is

−9/2

−9/4

-1

63 / 100

Category: Math Ch 10

Angles associated with basic angles of measure ? to a right angle or its multiple are
called:

Coterminal angle

angle in standard position

Allied angle

obtuse angle

64 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

65 / 100

Category: Math Ch 6

A sequence is also known as:

Real sequence

Progression

Arrangement

Complex sequence

66 / 100

Category: Math Ch 7 Class 12

67 / 100

Category: Math Ch 3 Class 12

68 / 100

Category: Math Ch 10

Fundamental law of trigonometry is , ???(? − ?)

???????? + ????????

???????? − ????????

???????? + ????????

???????? − ????????

69 / 100

Category: Math Ch 13

70 / 100

Category: Math Ch 6

71 / 100

Category: Math Ch 3

A rectangular array of numbers enclosed by a square brackets is called:

Matrix

Row

Column

Determinant

72 / 100

Category: Math Ch 9

0°, 90°, 180°, 270° and 360° are called

Coterminal angle

Quadrantal angl

Allied angle

None of these

73 / 100

Category: Math Ch 12

74 / 100

Category: Math Ch 4 Class 12

75 / 100

Category: Math Ch 9

76 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

77 / 100

Category: Math Ch 4 Class 12

The lines lying in the same plane are called

Collinear

coplanar

non-collinear

non-coplanar

78 / 100

Category: Math Ch 2 Class 12

79 / 100

Category: Math Ch 12

7. Which can be reduced to Pythagoras theorem,

Law of sine

law of cosine

law of tangents

Half angle formulas

80 / 100

Category: Math Ch 14

81 / 100

Category: Math Ch 3 Class 12

∫ ?^?(?). ?′(?)?? =

???(?) + ?

?^?(?) + ?

???′(?) + ?

?^?(?) + c

82 / 100

Category: Math Ch 6 Class 12

The ratio of the distance of a point from the focus to distance from the directrix is denoted by

83 / 100

Category: Math Ch 5 Class 12

Corner point is also called

Origin

Focus

Vertex

Test point

84 / 100

Category: Math Ch 3

10. If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

85 / 100

Category: Math Ch 6 Class 12

Which one is related to circle

? = 1

? > 1

? < 1

? = 0

86 / 100

Category: Math Ch 6 Class 12

87 / 100

Category: Math Ch 5

A mixed form of fraction is :

An integer+ improper fraction

a polynomial+improper fraction

a polynomial+proper fraction

a polynomial+rational fraction

88 / 100

Category: Math Ch 4

The sum of all four fourth roots of 16 is:

-16

89 / 100

Category: Math Ch 7 Class 12

90 / 100

Category: Math Ch 9

If the rotation of the angle is counter clock wise, then angle is:

Negative

Positive

Non-Negative

None of these

91 / 100

Category: Math Ch 6 Class 12

The circle whose radius is 1 is called:

Unit circle

point circle

circumcircle

in-circle

92 / 100

Category: Math Ch 4 Class 12

The point P in the plane that corresponds to the ordered pair (?, ?) is called:

????ℎ ?? (?, ?)

mid-point of ?, ?

???????? ?? ?, ?

ordinate of ?, y

93 / 100

Category: Math Ch 1 Class 12

The inverse of a function exists only if it is

an into function

an onto function

(1-1) and into function

None of these

94 / 100

Category: Math Ch 5 Class 12

The graph of corresponding linear equation of the linear inequality is a line called________

Boundary line

horizontal line

vertical line

inclined line

95 / 100

Category: Math Ch 3 Class 12

96 / 100

Category: Math

97 / 100

Category: Math Ch 12

98 / 100

Category: Math Ch 3 Class 12

99 / 100

Category: Math Ch 2 Class 12

100 / 100

Category: Math Ch 6 Class 12

The midpoint of the foci of the ellipse is its

Vertex

Centre

Directrix

None of these

Your score is

The average score is 53%

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