Mathematics Practice Tests 3 - PLS Academy

Mathematics Practice Tests Overview

Mathematics Practice Tests are an important part of preparation for MDCAT, ECAT, NUST, UET, FAST, NTS, and FSC board exams. They cover key topics such as algebra, trigonometry, calculus, arithmetic, and geometry. Regular practice helps students develop strong problem-solving skills, understand concepts deeply, and gain confidence in solving exam-style questions.

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Created by Ali Durrani

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Math Practice Test 3

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1 / 100

Category: Math Ch 7 Class 12

The vector whose initial point is at the origin and terminal point is ? , is called

Null vector

unit vector

position vector

normal vector

2 / 100

Category: Math Ch 3

The main diagonal elements of a skew symmetric matrix must be:

any non-zero number

any complex number

3 / 100

Category: Math Ch 4

The sum of all four fourth roots of 16 is:

-16

4 / 100

Category: Math

The number of all subsets of a set having three elements is:

5 / 100

Category: Math Ch 3

6 / 100

Category: Math Ch 6 Class 12

7 / 100

Category: Math Ch 1

The multiplicative identity of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

8 / 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

9 / 100

Category: Math Ch 2

A set is a collection of objects which are

Well defined

Well defined and distinct

identical

not defined

10 / 100

Category: Math Ch 14

11 / 100

Category: Math Ch 6 Class 12

12 / 100

Category: Math Ch 11

The graph of trigonometric functions have:

Break segments

Sharp corners

Straight line segments

smooth curves

13 / 100

Category: Math Ch 1 Class 12

14 / 100

Category: Math Ch 4

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

Additive inverse

Equal to

Conjugate

None of these

15 / 100

Category: Math Ch 7 Class 12

16 / 100

Category: Math Ch 3 Class 12

17 / 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

18 / 100

Category: Math Ch 14

19 / 100

Category: Math Ch 9

60th part of ?′ is equal to

1’

1’’

60’’

3600’’

20 / 100

Category: Math Ch 2

The set of odd numbers between 1 and 9 are

{1,3,5,7}

{3,5,7,9}

{1,3,5,7,9}

{3,5,7}

21 / 100

Category: Math Ch 3 Class 12

22 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

-1

None

23 / 100

Category: Math Ch 2

A diagram which represents a set is called______

Venn’s

Argand

Plane

None

24 / 100

Category: Math Ch 4

Sum of all cube roots of 64 is :

-64

25 / 100

Category: Math Ch 7 Class 12

26 / 100

Category: Math Ch 6 Class 12

Two conics always intersect each other in ______ points

one

two

four

27 / 100

Category: Math Ch 7

28 / 100

Category: Math Ch 2

The graph of linear function is :

Circle

straight line

parabola

triangle

29 / 100

Category: Math Ch 13

30 / 100

Category: Math Ch 14

31 / 100

Category: Math Ch 4

Synthetic division is a process of:

Addition

multiplication

subtraction

division

32 / 100

Category: Math

The set of odd numbers between 1 and 9 are

{1,3,5,7}

{3,5,7,9}

{1,3,5,7,9}

{3,5,7}

33 / 100

Category: Math Ch 4 Class 12

34 / 100

Category: Math Ch 7

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

None of these

35 / 100

Category: Math Ch 5 Class 12

An inequality with one or two variables has ________ solutions.

One

two

three

infinitely many

36 / 100

Category: Math Ch 7

37 / 100

Category: Math Ch 5 Class 12

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

Subjective

objective

qualitative

quantitative

38 / 100

Category: Math Ch 2

Every recurring non terminating decimal represents

?′

None

39 / 100

Category: Math Ch 1 Class 12

40 / 100

Category: Math

Every function is:

Relation

inverse function

one to one

none of these

41 / 100

Category: Math Ch 1 Class 12

42 / 100

Category: Math

An onto function is also called:

Injective

Surjective

Bijective

Inverse

43 / 100

Category: Math Ch 3

44 / 100

Category: Math Ch 2 Class 12

45 / 100

Category: Math Ch 3

46 / 100

Category: Math Ch 8

47 / 100

Category: Math Ch 7 Class 12

Cross product or vector product is defined

In plane only

in space only

everywhere

in vector field

48 / 100

Category: Math Ch 9

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

Coterminal angle

Quadrantal angl

Allied angle

None of these

49 / 100

Category: Math Ch 3 Class 12

50 / 100

Category: Math Ch 3 Class 12

51 / 100

Category: Math Ch 3

For any two matrices A and B ,(? + ?)^? =

?^?.?^?

?^? + ?^?

?^? + ?^t

52 / 100

Category: Math Ch 4

The product of all four fourth roots of unity is:

Unity

-1

None

53 / 100

Category: Math Ch 10

54 / 100

Category: Math Ch 6 Class 12

The circle whose radius is 1 is called:

Unit circle

point circle

circumcircle

in-circle

55 / 100

Category: Math Ch 5

A quadratic factor which cannot written as a product of linear factors with real coefficients is
called:

An irreducible factor

reducible factor

an irrational factor

an improper factor

56 / 100

Category: Math Ch 9

One right angle is equal to

?/2 ??????

90°

1/4 ????????

All of these

57 / 100

Category: Math Ch 7 Class 12

58 / 100

Category: Math Ch 2 Class 12

59 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

60 / 100

Category: Math Ch 6 Class 12

Standard equation of Parabola is :

?2 = 4?

?2 + ?2 = ?2

?2 = 4??

? = ??

61 / 100

Category: Math Ch 9

The system of angular measurement in which the angle is measured in radian is called:

Sexagesimal System

Circular System

English System

Gradient System

62 / 100

Category: Math Ch 3

4. If a matrix A has ? rows and ? columns , then order of A is :

? × ?

? + ?

63 / 100

Category: Math Ch 3 Class 12

64 / 100

Category: Math Ch 2 Class 12

A point where 1st derivative of function is zero , is called

Stationary point

corner point

point of concurrency

common point

65 / 100

Category: Math Ch 7 Class 12

66 / 100

Category: Math Ch 4 Class 12

The point-slope form of the equation of straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

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

67 / 100

Category: Math Ch 14

68 / 100

Category: Math Ch 3 Class 12

69 / 100

Category: Math Ch 4 Class 12

If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a

Kite

rhombus

||gram

trapezoid

70 / 100

Category: Math Ch 6 Class 12

The set of points which are equal distance from a fixed point is called:

Circle

Parabola

Ellipse

Hyperbola

71 / 100

Category: Math Ch 4

9. Sum of all cube roots of 64 is :

-64

72 / 100

Category: Math Ch 2 Class 12

73 / 100

Category: Math Ch 7 Class 12

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

Parallel

orthogonal

reciprocal

Non coplanar

74 / 100

Category: Math Ch 3 Class 12

75 / 100

Category: Math Ch 13

76 / 100

Category: Math Ch 5 Class 12

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

Origin side

non-origin side

upper

left

77 / 100

Category: Math Ch 14

78 / 100

Category: Math Ch 2 Class 12

79 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

80 / 100

Category: Math Ch 1

The additive identity in set of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

81 / 100

Category: Math Ch 10

82 / 100

Category: Math Ch 8

The method of induction was given by Francesco who lived from:

1494-1575

1500-1575

1498-1575

1494-1570

83 / 100

Category: Math Ch 1 Class 12

84 / 100

Category: Math Ch 4

The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

85 / 100

Category: Math Ch 4 Class 12

A line bisecting 2nd and 4th quadrants has inclination:

0°

45°

135°

∞

86 / 100

Category: Math Ch 7 Class 12

87 / 100

Category: Math Ch 3 Class 12

To determine the area under the curve by the use of integration , the idea was given by

Newton

Archimedes

Leibnitz

Taylor

88 / 100

Category: Math Ch 12

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

Elevation

depression

incidence

reflects

89 / 100

Category: Math Ch 2

Which of the following is true:

? ⊂ ?

all of these

90 / 100

Category: Math Ch 3 Class 12

91 / 100

Category: Math Ch 7

92 / 100

Category: Math Ch 4 Class 12

93 / 100

Category: Math Ch 3

94 / 100

Category: Math Ch 7 Class 12

Two vectors are said to be negative of each other if they have the same magnitude and
__________direction.

Same

opposite

negative

parallel

95 / 100

Category: Math Ch 12

96 / 100

Category: Math Ch 4 Class 12

97 / 100

Category: Math Ch 6

The last term of an infinite sequence is called :

??ℎ term

last term

does not exist

98 / 100

Category: Math Ch 3

The vertical lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

99 / 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’’

100 / 100

Category: Math Ch 6 Class 12

The foci of hyperbola always lie on :

? − ????

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

? − ????

Conjugate axis

Your score is

The average score is 54%

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