Mathematics Practice Tests 5 - PLS Academy

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Mathematics Practice Tests are an essential tool for students preparing for MDCAT, ECAT, NUST, UET, FAST, NTS, and FSC board exams. They focus on important topics such as algebra, trigonometry, calculus, arithmetic, and geometry. Regular practice helps students improve problem-solving skills, build strong conceptual understanding, and gain confidence in solving exam-style questions.

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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 10

2 / 100

Category: Math Ch 5 Class 12

The graph of a linear equation of the form ?? + ?? = ? is a line which divides the whole
plane into ______ disjoints parts.

Two

four

more than four

infinitely many

3 / 100

Category: Math

A compound proposition which is always neither true nor false is called:

Tautology

contradiction

absurdity

contingency

4 / 100

Category: Math Ch 3

If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Inverse of A

Main diagonal of A

Adjoint of A

5 / 100

Category: Math Ch 4 Class 12

The straight line which passes through one vertex and perpendicular to opposite side is
called:

Median

altitude

perpendicular bisector

normal

6 / 100

Category: Math Ch 6

The interval in which series ? + ?? + ??^? + ??^? + ⋯ is convergent if :

−2 < ? < 2 (

−1/2< ? <1/2

|2?| > 1

|?| < 1

7 / 100

Category: Math Ch 2

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

8 / 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

9 / 100

Category: Math

Every recurring decimal is

a rational number

an irrational number

a prime number

a whole number

10 / 100

Category: Math Ch 7 Class 12

11 / 100

Category: Math

. Truth set of a tautology is

Universal set

True

False

12 / 100

Category: Math Ch 14

13 / 100

Category: Math Ch 3 Class 12

14 / 100

Category: Math Ch 7 Class 12

15 / 100

Category: Math Ch 4 Class 12

16 / 100

Category: Math Ch 14

17 / 100

Category: Math Ch 13

18 / 100

Category: Math Ch 7 Class 12

19 / 100

Category: Math Ch 13

20 / 100

Category: Math Ch 4 Class 12

Equation of vertical line through (−?, ?) is

) ? − 5 = 0

? + 5 = 0

? − 3 = 0

? + 3 = 0

21 / 100

Category: Math Ch 12

22 / 100

Category: Math Ch 6 Class 12

23 / 100

Category: Math Ch 3

For any matrix A , it is always true that

? = ?^?

?^−1 = 1/A

|?| = |?^?|

– ? = ?̅

24 / 100

Category: Math Ch 3 Class 12

25 / 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

26 / 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

27 / 100

Category: Math Ch 12

28 / 100

Category: Math Ch 3 Class 12

29 / 100

Category: Math Ch 2 Class 12

30 / 100

Category: Math Ch 2

Every function is:

Relation

inverse function

one to one

none of these

31 / 100

Category: Math Ch 14

32 / 100

Category: Math Ch 6 Class 12

All lines through vertex and points on circle generate a

Circle

Ellipse

Circular cone

None of these

33 / 100

Category: Math Ch 7 Class 12

34 / 100

Category: Math Ch 6 Class 12

In the cases of ellipse it is always true that:

?2 > ?2

?2 < ?2

?2 = ?2

? < 0, ? < 0

35 / 100

Category: Math Ch 2 Class 12

36 / 100

Category: Math Ch 6

37 / 100

Category: Math Ch 2 Class 12

38 / 100

Category: Math

√3 is __________

Rational

Irrational

Integer

Prime

39 / 100

Category: Math Ch 2 Class 12

40 / 100

Category: Math Ch 3 Class 12

41 / 100

Category: Math Ch 4 Class 12

The point where the medians of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

42 / 100

Category: Math Ch 7

43 / 100

Category: Math Ch 6

The general term of a ?. ?., is :

?? = ??^(?−1)

?? = ??^?

?? = ?.?^(?+1)

None of these

44 / 100

Category: Math Ch 3 Class 12

45 / 100

Category: Math Ch 7

Let ? = {?, ?, ?, … , ??} the probability that a number is divided by 4 is :

2/5

1/5

1/10

1/2

46 / 100

Category: Math Ch 3

47 / 100

Category: Math Ch 7 Class 12

48 / 100

Category: Math Ch 12

49 / 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

50 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

51 / 100

Category: Math Ch 3

The vertical lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

52 / 100

Category: Math Ch 5

If an equation is true for all values of the variable, then it is called:

a conditional equation

an identity

proper rational fraction

All of these

53 / 100

Category: Math Ch 7

54 / 100

Category: Math Ch 10

55 / 100

Category: Math Ch 5

Conditional equation ?? + ? = ? holds when ? is equal to:

−3/2

3/2

1/3

56 / 100

Category: Math Ch 5 Class 12

The non-negative constraints are also called

Decision variable

Convex variable

Decision constraints

concave variable

57 / 100

Category: Math Ch 4

10. Product of cube roots of -1 is:

-1

None

58 / 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

59 / 100

Category: Math Ch 7 Class 12

60 / 100

Category: Math Ch 8

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

1494-1575

1500-1575

1498-1575

1494-1570

61 / 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

62 / 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’’

63 / 100

Category: Math Ch 2 Class 12

64 / 100

Category: Math Ch 7 Class 12

65 / 100

Category: Math Ch 4 Class 12

Let ?(?? , ??) not lying on the line ?: ?? + ?? + ? = ? then point P lies above if

?1? + ?1? + ?1 = 0

?1? + ?1? + ?1 ≠ 0

?1? + ?1? + ?1 < 0

?1? + ?1? + ?1 > 0

66 / 100

Category: Math Ch 13

67 / 100

Category: Math Ch 3

. The additive inverse of a matrix exist only if it is:

Singular

non singular

null matrix

any matrix of order ? × n

68 / 100

Category: Math Ch 6 Class 12

Standard equation of Parabola is :

?2 = 4?

?2 + ?2 = ?2

?2 = 4??

? = ??

69 / 100

Category: Math Ch 7

70 / 100

Category: Math Ch 1

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

Rational number

Irrational number

Complex number

Whole number

71 / 100

Category: Math Ch 5 Class 12

72 / 100

Category: Math Ch 3

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

Main diagonal

primary diagonal

proceding diagonal

secondary diagonal

73 / 100

Category: Math Ch 3 Class 12

74 / 100

Category: Math Ch 6 Class 12

75 / 100

Category: Math Ch 6 Class 12

The foci of hyperbola always lie on :

? − ????

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

? − ????

Conjugate axis

76 / 100

Category: Math Ch 5 Class 12

Solution space consisting of all feasible solutions of system of linear in inequalities is called

Feasible solution

Optimal solution

Feasible region

General solution

77 / 100

Category: Math Ch 6

An arrangement of numbers according to some definite rule is called:

Sequence

Combination

Series

Permutation

78 / 100

Category: Math Ch 4 Class 12

? = ? is the straight line

Bisecting I & III

parallel to ? − ????

bisecting II & IV

parallel to ? − ????

79 / 100

Category: Math Ch 3 Class 12

80 / 100

Category: Math Ch 4

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

Additive inverse

Equal to

Conjugate

None of these

81 / 100

Category: Math Ch 9

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

180°

270°

360°

90°

82 / 100

Category: Math Ch 13

83 / 100

Category: Math Ch 6

84 / 100

Category: Math Ch 3 Class 12

∫???+?? =

???? + ?

tan^−1 +?

???? + ?

cot−1 x

85 / 100

Category: Math Ch 6 Class 12

Focus of the ellipse always lies on the

Minor axis

Major axi

Directrix

None of these

86 / 100

Category: Math Ch 14

For the general solution , we first find the solution in the interval whose length is equal to
its:

Range

domain

co-domain

period

87 / 100

Category: Math Ch 7

88 / 100

Category: Math Ch 14

89 / 100

Category: Math Ch 4 Class 12

The point where the altitudes of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

90 / 100

Category: Math Ch 7 Class 12

Parallelogram law of vector addition to describe the combined action of two forces, was used
by

Cauchy

Aristotle

Alkhwarzmi

Leibnitz

91 / 100

Category: Math Ch 12

92 / 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

93 / 100

Category: Math Ch 4 Class 12

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

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

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

94 / 100

Category: Math Ch 4

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

Additive inverse

equal to

square of

None of these

95 / 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

96 / 100

Category: Math Ch 3

The vertical lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

97 / 100

Category: Math Ch 6

. An infinite geometric series is divergent if

|?| < 1

|?| ≠ 1

? = 0

|?| > 1

98 / 100

Category: Math Ch 5 Class 12

Corner point is also called

Origin

Focus

Vertex

Test point

99 / 100

Category: Math Ch 10

100 / 100

Category: Math

Q.99 Correct form of ohm’s law

A. I=VR

B. V a I

C. V=IR

D. Both B and C

Your score is

The average score is 53%

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PLS Academy Mathematics Test Preparation

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