Mathematics Practice Tests 4

Created by Ali Durrani

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Math Practice Test 4

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1 / 100

Category: Math Ch 3 Class 12

∫ ?^?(?). ?′(?)?? =

???(?) + ?

?^?(?) + ?

???′(?) + ?

?^?(?) + c

2 / 100

Category: Math Ch 1

. If ? < ? then

? < ?

1/? < 1/?

1/? > 1/?

? − ? > 0

3 / 100

Category: Math Ch 6 Class 12

a

b

c

d

4 / 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

5 / 100

Category: Math Ch 3 Class 12

a

b

c

d

6 / 100

Category: Math Ch 1

(?, ?)(?, ?) =

15

-15

−8?

8?

7 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

8 / 100

Category: Math Ch 5 Class 12

If ? > ? then

– ? > −?

– ? < ?

? < ?

– ? < −b

9 / 100

Category: Math Ch 3

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

1

0

any non-zero number

any complex number

10 / 100

Category: Math Ch 1 Class 12

a

b

c

d

11 / 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

12 / 100

Category: Math Ch 2 Class 12

a

b

c

d

13 / 100

Category: Math Ch 12

a

b

c

d

14 / 100

Category: Math Ch 5

a

b

c

d

15 / 100

Category: Math Ch 7 Class 12

a

b

c

d

16 / 100

Category: Math Ch 2 Class 12

a

b

c

d

17 / 100

Category: Math Ch 6 Class 12

a

b

c

d

18 / 100

Category: Math Ch 2 Class 12

a

b

c

d

19 / 100

Category: Math Ch 6

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

Sequence

Combination

Series

Permutation

20 / 100

Category: Math Ch 7 Class 12

A point P in space has __________ coordinates.

1

2

3

infinitely many

21 / 100

Category: Math Ch 1 Class 12

The term “Function” was recognized by______ to describe the dependence of one quantity
to another.

Lebnitz

Euler

Newton

Lagrange

22 / 100

Category: Math Ch 2

If ? ∈ ? ∪ ? then

? ∉ ? ?? ? ∉ ?

? ∉ ? ?? ? ∈ ?

? ∈ ? ?? ? ∉ ?

? ∈ ? ?? ? ∈ ?

23 / 100

Category: Math Ch 2 Class 12

a

b

c

d

24 / 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 ?,

25 / 100

Category: Math Ch 3 Class 12

a

b

c

d

26 / 100

Category: Math Ch 12

a

b

c

d

27 / 100

Category: Math Ch 2 Class 12

a

b

c

d

28 / 100

Category: Math Ch 1 Class 12

The notation ? = ?(?) was invented by

Lebnitz

Euler

Newton

Lagrange

29 / 100

Category: Math Ch 5 Class 12

An inequality with one or two variables has ________ solutions.

One

two

three

infinitely many

30 / 100

Category: Math Ch 12

a

b

c

d

31 / 100

Category: Math Ch 3 Class 12

a

b

c

d

32 / 100

Category: Math Ch 2 Class 12

A stationary point is called ______ if it is either a maximum point or a minimum point

Stationary point

turning point

critical point

point of inflexion

33 / 100

Category: Math Ch 1 Class 12

The function ?(?) = ? is called :

A linear function

An identity function

A quadratic function

A cubic function

34 / 100

Category: Math Ch 6 Class 12

All lines through vertex and points on circle generate a

Circle

Ellipse

Circular cone

None of these

35 / 100

Category: Math Ch 4

Synthetic division is a process of:

Addition

multiplication

subtraction

division

36 / 100

Category: Math Ch 6 Class 12

The circle whose radius is 1 is called:

Unit circle

point circle

circumcircle

in-circle

37 / 100

Category: Math Ch 7 Class 12

a

b

c

d

38 / 100

Category: Math Ch 4 Class 12

a

b

c

d

39 / 100

Category: Math Ch 10

???(? + ?) is equal to:

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

???????? − ????????

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

???????? − ????????

40 / 100

Category: Math Ch 4

Product of cube roots of -1 is:

0

1

-1

None

41 / 100

Category: Math Ch 4 Class 12

a

b

c

d

42 / 100

Category: Math

A compound proposition which is always wrong is called:

Tautology

contradiction

absurdity

contingency

43 / 100

Category: Math Ch 5

An open sentence formed by using sign of “ = ” is called a/an

Equation

Formula

Rational fraction

Theorem

44 / 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

45 / 100

Category: Math Ch 13

a

b

c

d

46 / 100

Category: Math Ch 3

If the system of linear equations have no solution at all, then it is called a/an

Consistent system

Inconsistent system

Trivial System

Non Trivial System

47 / 100

Category: Math Ch 3 Class 12

a

b

c

d

48 / 100

Category: Math Ch 11

Period of ???? is

?

2?

−2?

? /2

49 / 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

50 / 100

Category: Math Ch 5 Class 12

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

Subjective

objective

qualitative

quantitative

51 / 100

Category: Math Ch 4 Class 12

If the equations of the sides of a triangle are given then the intersection of any two lines in
pairs gives ________ the triangles.

Vertices

centre

mid-points of sides

centriod

52 / 100

Category: Math Ch 3

The number of non zero rows in echelon form of a matrix is called:

Order of matrix

Rank of matrix

leading

leading row

53 / 100

Category: Math Ch 6 Class 12

a

b

c

d

54 / 100

Category: Math Ch 3

a

b

c

d

55 / 100

Category: Math Ch 11

Period of ?????? is

?

2?

−2?

?/2

56 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

57 / 100

Category: Math Ch 7

a

b

c

d

58 / 100

Category: Math Ch 2 Class 12

a

b

c

d

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 2 Class 12

a

b

c

d

61 / 100

Category: Math Ch 6

a

b

c

d

62 / 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

63 / 100

Category: Math Ch 6 Class 12

a

b

c

d

64 / 100

Category: Math Ch 3 Class 12

a

b

c

d

65 / 100

Category: Math Ch 3

13. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and at least ??? ≠ ?, ? = ? then A is called:

Diagonal matrix

Scalar Matrix

None

Null matrix

66 / 100

Category: Math Ch 3

a

b

c

d

67 / 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

68 / 100

Category: Math Ch 6

The sum of terms of a sequence is called:

Partial sum

Series

Finite sum

none of these

69 / 100

Category: Math Ch 6

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

−2 < ? < 2 (

−1/2< ? <1/2

|2?| > 1

|?| < 1

70 / 100

Category: Math Ch 3

a

b

c

d

71 / 100

Category: Math Ch 12

a

b

c

d

72 / 100

Category: Math Ch 5 Class 12

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

Subjective

objective

qualitative

quantitative

73 / 100

Category: Math Ch 3 Class 12

a

b

c

d

74 / 100

Category: Math Ch 4

The equation ??^? + ?? + ? = ? will be quadratic if:

? = 0, ? ≠ 0

? ≠ 0

? = ? = 0

? = any real number

75 / 100

Category: Math Ch 6

An infinite geometric series is convergent if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

76 / 100

Category: Math Ch 3

77 / 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 = {(?, ?): ?, ? ∈ ?, ? = ?}

78 / 100

Category: Math Ch 8

a

b

c

d

79 / 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

?

e

80 / 100

Category: Math Ch 10

???(? + ?) is equal to:

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

???????? − ????????

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

???????? − ????????

81 / 100

Category: Math Ch 3 Class 12

a

b

c

d

82 / 100

Category: Math Ch 4 Class 12

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

0°

45°

135°

∞

83 / 100

Category: Math

√3 is __________

Rational

Irrational

Integer

Prime

84 / 100

Category: Math

Squaring a number is a:

Unary operation

binary operation

relation

Function

85 / 100

Category: Math Ch 7 Class 12

a

b

c

d

86 / 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

87 / 100

Category: Math Ch 12

To solve an oblique triangles when measure of three sides are given , we can use:

Hero’s formula

Law of cosine

Law of sine

Law of tangents

88 / 100

Category: Math Ch 6 Class 12

All lines through vertex and points on circle generate a

Circle

Ellipse

Circular cone

None of these

89 / 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

90 / 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

91 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

0

-1

None

92 / 100

Category: Math Ch 5 Class 12

(0,0) is satisfied by

? − ? < 10

2? + 5? > 10

? − ? ≥ 13

None

93 / 100

Category: Math Ch 8

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

1494-1575

1500-1575

1498-1575

1494-1570

94 / 100

Category: Math Ch 6

a

b

c

d

95 / 100

Category: Math Ch 9

?° is equal to

30 minutes

60 minutes

1/60 minutes

1/2 minutes

96 / 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

97 / 100

Category: Math Ch 1 Class 12

The term “Function” was recognized by______ to describe the dependence of one quantity
to another.

Lebnitz

Euler

Newton

Lagrange

98 / 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

99 / 100

Category: Math Ch 3

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

?^?.?^?

?^? + ?^?

100 / 100

Category: Math Ch 4

9. Sum of all cube roots of 64 is :

0

1

64

-64

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The average score is 54%

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