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

2 / 100

Category: Math Ch 12

To solve an oblique triangle we use:

Law of Sine

Law of Cosine

Law of Tangents

All of these

3 / 100

Category: Math Ch 2 Class 12

4 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

5 / 100

Category: Math Ch 6 Class 12

Standard equation of Parabola is :

?2 = 4?

?2 + ?2 = ?2

?2 = 4??

? = ??

6 / 100

Category: Math Ch 4 Class 12

The straight line which passes through one vertex and though the mid-point of the opposite
side is called:

Median

altitude

perpendicular bisector

normal

7 / 100

Category: Math Ch 5 Class 12

Corner point is also called

Origin

Focus

Vertex

Test point

8 / 100

Category: Math Ch 4

10. Product of cube roots of -1 is:

-1

None

9 / 100

Category: Math

A compound proposition which is always wrong is called:

Tautology

contradiction

absurdity

contingency

10 / 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’’

11 / 100

Category: Math Ch 9

Sexagesimal system is also called

German System

English System

C.G.S System

SI System

12 / 100

Category: Math Ch 4 Class 12

13 / 100

Category: Math Ch 4 Class 12

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

0°

45°

135°

∞

14 / 100

Category: Math Ch 7 Class 12

15 / 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

16 / 100

Category: Math Ch 7 Class 12

17 / 100

Category: Math Ch 3 Class 12

18 / 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 ?,

19 / 100

Category: Math Ch 6

20 / 100

Category: Math Ch 7 Class 12

21 / 100

Category: Math Ch 6 Class 12

22 / 100

Category: Math Ch 7

How many signals can be given by 5 flags of different colors , using 3 at a time

120

23 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

24 / 100

Category: Math Ch 3 Class 12

25 / 100

Category: Math Ch 13

26 / 100

Category: Math Ch 1 Class 12

27 / 100

Category: Math Ch 9

The common starting point of two rays is called:

Origin

Initial Point

Vertex

All of these

28 / 100

Category: Math Ch 3

For any matrix A , it is always true that

? = ?^?

?^−1 = 1/A

|?| = |?^?|

– ? = ?̅

29 / 100

Category: Math Ch 12

30 / 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

31 / 100

Category: Math Ch 3

Any matrix A is called singular if:

|?| = 0

|?| ≠ 0

? ^? = ?

??^−1 = ?

32 / 100

Category: Math Ch 14

33 / 100

Category: Math Ch 3

8. If a matrix A has only one column then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

34 / 100

Category: Math Ch 4

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

Additive inverse

equal to

square of

None of these

35 / 100

Category: Math Ch 3 Class 12

36 / 100

Category: Math Ch 1

Golden rule of fraction is that for ? ≠ ?, ?/? =

??/??

??/?

??/b

37 / 100

Category: Math Ch 3 Class 12

38 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

39 / 100

Category: Math Ch 3 Class 12

40 / 100

Category: Math Ch 3 Class 12

The order of the differential equation : ????/??? +??/?? − ? = ?

more than 2

41 / 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

42 / 100

Category: Math

An onto function is also called:

Injective

Surjective

Bijective

Inverse

43 / 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

44 / 100

Category: Math Ch 7

A die is rolled , the probability of getting 3 or 5 is:

2/3

15/36

-15/36

1/36

45 / 100

Category: Math Ch 7

46 / 100

Category: Math Ch 5

The quotient of two polynomials ?(?)/?(?), ?(?) ≠ ? is called :

Rational fraction

Irrational fraction

Partial fraction

Proper fraction

47 / 100

Category: Math Ch 5 Class 12

(0,0) is the solution of the inequality

7? + 2? > 0

2? − ? > 0

? + ? ≥ 0

3? + 5? < 0

48 / 100

Category: Math Ch 7

A die is rolled , the probability of getting 3 or 5 is:

2/3

15/36

1/36

49 / 100

Category: Math Ch 12

50 / 100

Category: Math Ch 10

51 / 100

Category: Math Ch 6

52 / 100

Category: Math Ch 1 Class 12

53 / 100

Category: Math Ch 7 Class 12

54 / 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

55 / 100

Category: Math Ch 14

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

Periodic

continues

injective

bijective

56 / 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

57 / 100

Category: Math Ch 3

9. If a matrix A has same number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

58 / 100

Category: Math Ch 6 Class 12

59 / 100

Category: Math Ch 14

60 / 100

Category: Math Ch 6 Class 12

61 / 100

Category: Math Ch 11

62 / 100

Category: Math Ch 4 Class 12

63 / 100

Category: Math Ch 8

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

1494-1575

1500-1575

1498-1575

1494-1570

64 / 100

Category: Math Ch 5

When a rational fraction is separated into partial fractions, then result is always :

A conditional equations

an identity

a partial fraction

an improper fraction

65 / 100

Category: Math Ch 9

Conversion of ??. ???° to ?°?′?′′ form is:

21°25’6’’

21°40′27′′

21°15′22′′

21°30′2′′

66 / 100

Category: Math Ch 2 Class 12

67 / 100

Category: Math Ch 4

68 / 100

Category: Math Ch 2 Class 12

69 / 100

Category: Math

The additive identity in set of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

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 5 Class 12

72 / 100

Category: Math Ch 5 Class 12

The solution of ?? + ? < ? is

Closed half plane

open half plane

circle

parabola

73 / 100

Category: Math Ch 2 Class 12

74 / 100

Category: Math Ch 1 Class 12

75 / 100

Category: Math Ch 6

The sum of terms of a sequence is called:

Partial sum

Series

Finite sum

none of these

76 / 100

Category: Math Ch 3 Class 12

77 / 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}

78 / 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

79 / 100

Category: Math Ch 9

80 / 100

Category: Math Ch 13

81 / 100

Category: Math Ch 5 Class 12

82 / 100

Category: Math Ch 4

The equation in which variable occurs in exponent , called:

Exponential function

Quadratic equation

Reciprocal equation

Exponential equation

83 / 100

Category: Math Ch 7 Class 12

84 / 100

Category: Math Ch 3 Class 12

85 / 100

Category: Math Ch 3 Class 12

86 / 100

Category: Math Ch 2 Class 12

87 / 100

Category: Math Ch 14

88 / 100

Category: Math Ch 4 Class 12

The lines represented by the equation ??^? + ???? + ??? = ? are coincident if

? + ? = 0

? – ? = 0

ℎ^2 + ?? = 0

None

89 / 100

Category: Math Ch 3 Class 12

90 / 100

Category: Math Ch 7

91 / 100

Category: Math Ch 3 Class 12

92 / 100

Category: Math Ch 14

93 / 100

Category: Math Ch 9

Angles with same initial and terminal sides are called:

Acute angles

Allied Angles

Coterminal angles

Quadrentel angles

94 / 100

Category: Math Ch 7 Class 12

The angle in semi-circle is equal to:

?/2

?/3

95 / 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

96 / 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

97 / 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

98 / 100

Category: Math Ch 4 Class 12

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

) ? − 5 = 0

? + 5 = 0

? − 3 = 0

? + 3 = 0

99 / 100

Category: Math Ch 7 Class 12

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

-1

100 / 100

Category: Math Ch 4

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

−1

±?

Your score is

The average score is 54%

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