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 4

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

Additive inverse

equal to

square of

None of these

2 / 100

Category: Math Ch 4

9. Sum of all cube roots of 64 is :

-64

3 / 100

Category: Math Ch 4 Class 12

The slope of the line ?? + ?? + ? = ? is

?/?

–?/?

?/?

–?/a

4 / 100

Category: Math Ch 4

If sum of all cube roots of unity is equal to ?^? + ? , then ? is equal to:

−1

±?

5 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

6 / 100

Category: Math Ch 6 Class 12

For any parabola in the standard form , if the directrix is ? = ? , then its equation is

?2 = 4??

?2 = −4??

?2 = 4??

2 = −4?y

7 / 100

Category: Math Ch 7 Class 12

8 / 100

Category: Math Ch 4

7. The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

9 / 100

Category: Math Ch 3 Class 12

10 / 100

Category: Math Ch 4

The sum of all four fourth roots of 16 is:

-16

11 / 100

Category: Math Ch 8

12 / 100

Category: Math Ch 6 Class 12

The midpoint of the foci of the ellipse is its

Vertex

Centre

Directrix

None of these

13 / 100

Category: Math Ch 12

To solve an oblique triangle we use:

Law of Sine

Law of Cosine

Law of Tangents

All of these

14 / 100

Category: Math Ch 2 Class 12

15 / 100

Category: Math Ch 5 Class 12

The feasible solution which maximizes or minimizes the objective function is called

Exact solution

optimal solution

final solution

objective function

16 / 100

Category: Math Ch 9

1 radian is equal to:

57.296°

5.7296°

175.27°

17.5276

17 / 100

Category: Math Ch 1 Class 12

The quantity which is used as a variable as well as constant is called

Parameter

Constant

Real Number

None of these

18 / 100

Category: Math Ch 13

19 / 100

Category: Math Ch 6

The sum of terms of a sequence is called:

Partial sum

Series

Finite sum

none of these

20 / 100

Category: Math Ch 6 Class 12

A type of the conic that has eccentricity greater than 1 is

An ellipse

A parabola

A hyperbola

A circle

21 / 100

Category: Math Ch 6 Class 12

Focus of the ellipse always lies on the

Minor axis

Major axi

Directrix

None of these

22 / 100

Category: Math Ch 6

. An infinite geometric series is divergent if

|?| < 1

|?| ≠ 1

? = 0

|?| > 1

23 / 100

Category: Math Ch 14

24 / 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

25 / 100

Category: Math Ch 3 Class 12

26 / 100

Category: Math Ch 14

12. General solution of every trigonometric equation consists of :

One solution only

two solutions

infinitely many solutions

no real solution

27 / 100

Category: Math Ch 4

Degree of quadratic equation is:

28 / 100

Category: Math Ch 6

29 / 100

Category: Math Ch 4

The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

30 / 100

Category: Math Ch 9

One right angle is equal to

?/2 ??????

90°

1/4 ????????

All of these

31 / 100

Category: Math Ch 2 Class 12

32 / 100

Category: Math Ch 7

A card is drawn from a deck of 52 playing cards. The probability of card that it is an ace card is:

2 /13

4 /13

1 /13

17 /13

33 / 100

Category: Math Ch 6

34 / 100

Category: Math Ch 9

The common starting point of two rays is called:

Origin

Initial Point

Vertex

All of these

35 / 100

Category: Math Ch 6 Class 12

All lines through vertex and points on circle generate a

Circle

Ellipse

Circular cone

None of these

36 / 100

Category: Math Ch 4

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

Additive inverse

Equal to

Conjugate

None of these

37 / 100

Category: Math Ch 6

An infinite geometric series is convergent if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

38 / 100

Category: Math Ch 13

39 / 100

Category: Math Ch 3

40 / 100

Category: Math Ch 7

41 / 100

Category: Math Ch 9

One right angle is equal to

?/2 ??????

90°

1/4 ????????

All of these

42 / 100

Category: Math Ch 3 Class 12

43 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

-1

None

44 / 100

Category: Math Ch 4

45 / 100

Category: Math Ch 10

46 / 100

Category: Math Ch 4

If 2 and -5 are roots of a quadratic equation , then equation is:

?^2 − 3? − 10 = 0

?^2 − 3? + 10 = 0

?^2 + 3? − 10 = 0

?^2 + 3? + 10 = 0

47 / 100

Category: Math Ch 7

If an event always occurs , then it is called:

Null Event

Possible Event

Certain event

Independent Event

48 / 100

Category: Math Ch 7 Class 12

49 / 100

Category: Math Ch 2

Total number of subsets that can be formed from the set {?, ?, ?} is

50 / 100

Category: Math Ch 5 Class 12

An inequality with one or two variables has ________ solutions.

One

two

three

infinitely many

51 / 100

Category: Math Ch 7

52 / 100

Category: Math

The product of two conjugate complex numbers is

A real number

an imaginary number

may be an irrational number

not defined

53 / 100

Category: Math Ch 12

54 / 100

Category: Math Ch 2 Class 12

55 / 100

Category: Math Ch 1

A decimal which has a finite numbers of digits in its decimal part is called______ decimal.

Terminating

Non-Terminating

Recurring

Non recurring

56 / 100

Category: Math Ch 7 Class 12

The angle in semi-circle is equal to:

?/2

?/3

57 / 100

Category: Math Ch 5 Class 12

If ? > ? then

– ? > −?

– ? < ?

? < ?

– ? < −b

58 / 100

Category: Math Ch 14

11. All trigonometric functions are ……………….. functions.

Periodic

continues

injective

bijective

59 / 100

Category: Math Ch 5 Class 12

The graph of the inequality ?? + ?? ≥ ? is _____ side of line ?? + ?? = ?

Origin side

non-origin side

upper

left

60 / 100

Category: Math Ch 3 Class 12

61 / 100

Category: Math Ch 2

A set is a collection of objects which are

Well defined

Well defined and distinct

identical

not defined

62 / 100

Category: Math Ch 3

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

Matrix

Row

Column

Determinant

63 / 100

Category: Math Ch 1 Class 12

The domain and range of identity function , ?: ? → ? is

+iv real numbers

–iv real numbers

integers

64 / 100

Category: Math Ch 3 Class 12

65 / 100

Category: Math Ch 2

A diagram which represents a set is called______

Venn’s

Argand

Plane

None

66 / 100

Category: Math Ch 3

67 / 100

Category: Math Ch 12

When we look an object below the horizontal ray, the angle formed is called angle of:
(a) Elevation (b) ✔ depression (c) incidence (d) reflects

Elevation

depression

incidence

reflects

68 / 100

Category: Math Ch 1 Class 12

69 / 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

70 / 100

Category: Math Ch 6

71 / 100

Category: Math Ch 6

72 / 100

Category: Math Ch 4 Class 12

73 / 100

Category: Math Ch 4 Class 12

Line passes through the point of intersection of two line ?? and ?? is

?1?1 = ?2?2

?1 + ??2 = 0

?1 + ??2 = 1

None

74 / 100

Category: Math Ch 5 Class 12

(0,0) is the solution of the inequality

7? + 2? > 0

2? − ? > 0

? + ? ≥ 0

3? + 5? < 0

75 / 100

Category: Math Ch 7

16. Four persons wants to sit in a circular sofa, the total ways are:

None of thes

76 / 100

Category: Math Ch 12

When we look an object above the horizontal ray, the angle formed is called angle of:

Elevation

depression

incidence

reflects

77 / 100

Category: Math Ch 2 Class 12

78 / 100

Category: Math Ch 11

79 / 100

Category: Math Ch 6

The last term of an infinite sequence is called :

??ℎ term

last term

does not exist

80 / 100

Category: Math Ch 14

81 / 100

Category: Math Ch 7 Class 12

82 / 100

Category: Math Ch 3

7. If a matrix A has only one row then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

83 / 100

Category: Math Ch 6

2. A sequence is also known as:

Real sequence

Progression

Arrangement

Complex sequence

84 / 100

Category: Math Ch 6

4. As sequence whose range is ? ?. ?., set of real numbers is called:

Real sequence

Imaginary sequence

Natural sequence

Complex sequence

85 / 100

Category: Math Ch 8

86 / 100

Category: Math Ch 2 Class 12

87 / 100

Category: Math Ch 6 Class 12

88 / 100

Category: Math Ch 3 Class 12

89 / 100

Category: Math Ch 9

One rotation in anti-clock wise direction is equal to:

180°

270°

360°

90°

90 / 100

Category: Math Ch 10

91 / 100

Category: Math Ch 9

92 / 100

Category: Math Ch 12

93 / 100

Category: Math Ch 3

The horizontal lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

94 / 100

Category: Math Ch 2

Identity element in (?, . ) is:

(0,0)

(0,1)

(1,0)

(1,1)

95 / 100

Category: Math Ch 3

53. The inverse of unit matrix is:

Unit

Singular

Skew Symmetri

rectangular

96 / 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

97 / 100

Category: Math Ch 4 Class 12

If line ? intersects ? − ???? at a point (?, ?) , then the ? − ????????? of the line ? is:

-3

1/3

98 / 100

Category: Math

The multiplicative identity of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

99 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

100 / 100

Category: Math Ch 7 Class 12

Your score is

The average score is 53%

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PLS Academy Mathematics Test Preparation

PLS Academy provides well-designed Mathematics Practice Tests with exam-focused MCQs, detailed solutions, and complete syllabus coverage. With expert guidance and structured practice material, PLS Academy helps students strengthen their mathematical abilities and achieve high scores in entry tests and FSC board exams.

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