MCQs of Maths for Class 10

MCQs of Maths for Class 10 Practice Tests

This page contains all the online tests for MCQs of Maths for class 10. Students should do the practice of all these tests for getting good marks in FBISE board exams. All the possible MCQs of Maths for class 10 have been prepared for the better preparation of Exams.

Unit 1 – Quadratic Equations

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 1 MCQs Grand Test

Unit 2 – Theory of Quadratic Equations

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 2 MCQs Grand Test

Unit 3 – Variations

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 3 MCQs Grand Test

Unit 4 – Partial Fractions

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 4 MCQs Grand Test

Unit 5 – Sets and Functions

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 5 MCQs Grand Test

Unit 6 – Basic Statistics

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 6 MCQs Grand Test

Unit 7 – Introduction to Trignometery

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 7 MCQs Grand Test

Unit 8 – Projection of a Side of a Triangle

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 8 MCQs Grand Test

Unit 9 – Chords of a Circle

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 9 MCQs Grand Test

Unit 10 – Tangent to a Circle

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 10 MCQs Grand Test

Unit 11 – Chords and Arcs

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 11 MCQs Grand Test

Unit 12 – Angle in a Segment of a Circle

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 12 MCQs Grand Test

Unit 13 – Practical Geometry – Circles

Practice Tests

• Exercise MCQs Practice Test
• Past Papers MCQs Practice Test
• Extra MCQs Practice Test

Quiz Test

• Unit 13 MCQs Grand Test

Unit 1
Quadratic Equations

Practice MCQs Test No 1

/10

301

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 10

An equation of the type
3^x+ 3^2-x+6 = 0 is a/an:

Exponential equation

None of these

Reciprocal equation

Radical equation

2 / 10

The solution set of 5x²=15x is:

{0,-3}

{3,-3}

{0,3}

{0}

3 / 10

Standard form of quadratic equation is:

ax²=0 , a≠0

ax²+bx+c=0 a≠0

bx+c=0 , b≠0

ax²=bx , a≠0

4 / 10

The solution set of 4x²-16=0 is:

{±4}

{±2}

{±8}

{±1}

5 / 10

The number of methods to solve a quadratic equation is:

2

4

1

3

6 / 10

An equation of the form 2x⁴-3x³+7x²-3x+2=0 are:

Radical equation

None of these

Reciprocal equation

Exponential equation

7 / 10

The number of terms in a standard quadratic equation ax²+bx+c=0 are:

4

1

2

3

8 / 10

An equation, which remains unchanged when x is replaced by 1/x is called a/an:

None of these

Radical equation

Reciprocal equation

Exponential equation

9 / 10

If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:

Exponential

Pure

Reciprocal

Standard

10 / 10

Two linear factors of x²-15x+56=0 are:

(x+7) and (x+8)

(x-7) and (x-8)

(x-7) and (x+8)

(x-6) and (x-9)

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10

151

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10

Sum of the cube roots of unity is:

-1

1

0

3

2 / 10

If \( \alpha ,\beta \) are the roots of \( { x }^{ 2 } - x - 1 = 0, \) then product of the roots \( 2 \alpha and 2 \beta \) is:

2

-2

-4

4

3 / 10

The discriminant of quadratic equation \( { 6x }^{ 2 } - 8x + 3 = 0 \) is:

-8

\( \frac{1}{2} \)

\( \frac { 8 }{ 3 } \)

\( \frac { 4\pm i\sqrt { 2 } }{ 2 } \)

4 / 10

If \( \alpha ,\beta \) are the roots of \({ 7x }^{ 2 } - x + 4 = 0, \) then \("\alpha \beta "\) is:

\( \frac{7}{4} \)

\( - \frac{4}{7} \)

\(- \frac{1}{7} \)

\( \frac{4}{7} \)

5 / 10

If \( \alpha ,\beta \) are the roots of \( { 3x }^{ 2 } + 5x - 2 = 0,\) then \("\alpha +\beta "\) is:

\( \frac{ - 5}{3} \)

\( \frac{3}{5} \)

\( \frac{5}{3} \)

\( \frac{ - 2}{3} \)

6 / 10

The sum of roots of \( (a + b){ x }^{ 2 } - ax + b = 0 \) is:

a - b

\( \frac{a}{a + b} \)

1

\( \frac{b}{a + b} \)

7 / 10

If \( \alpha ,\beta \) are the roots of the equation \( { px }^{ 2 } + qx + r = 0, \) then sum of the roots \( 2\alpha and 2\beta \) is:

\( \frac{ - q}{2p} \)

\( \frac{ - q}{p} \)

\( \frac{r}{p} \)

\( \frac{ - 2q}{p} \)

8 / 10

Roots of the equation \( { 4x }^{ 2 } - 4x + 1 = 0 \) are:

Irrational

Real,unequal

Imaginary

Real,equal

9 / 10

The product of cube roots of unity is:

-1

3

0

1

10 / 10

If \( \alpha , \beta \) are the roots of \( { 4x }^{ 2 } + 3px + { p }^{ 2 } = 0,\) then \( \alpha + \beta \) is:

\( \frac{{p}^{2}}{4} \)

\( \frac{ - 3p}{4} \)

\( \frac{3p}{4} \)

\( \frac{ - {p}^{2}}{4} \)

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Practice MCQs Test No 2

/11

100

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11

\({ \alpha }^{ 2 } + { \beta }^{ 2 } \) is equal to

\( \alpha + \beta\)

\({\alpha}^{2} - {\beta}^{2}\)

\( {(\alpha+\beta)}^{2} - 2\alpha\beta \)

\( \frac{1}{{\alpha}^{2}} + \frac{1}{{\beta}^{2}} \)

2 / 11

The discriminant of \( { ax }^{ 2 } + bx + c = 0 \), is:

\( {-b}^{2} + 4ac \)

\( {b}^{2} + 4ac \)

\( {b}^{2 } - 4ac \)

\( {-b}^{2} - 4ac \)

3 / 11

If  b² - 4ac > 0, but not a perfect square then roots of \({ ax }^{ 2 } + bx + c = 0\) are:

Imaginary

Irrational

None of these

Rational

4 / 11

Cube roots of -1 are:

[katex] -1, \omega, - {\omega}^{2} [/katex]

[katex] -1, - \omega,- {\omega}^{2} [/katex]

[katex] 1, - \omega, - {\omega}^{2} [/katex]

[katex] -1, -\omega,{ \omega}^{2} [/katex]

5 / 11

The nature of roots of equation \({ ax }^{ 2 } + bx + c = 0,\) is determined by:

Discriminant

Synthetic division

Product of roots

Sum of roots

6 / 11

If \( \alpha ,\beta \) are the roots of \( { x }^{ 2 } - 5x + p = 0, \) then \( \alpha \beta \) is:

5

p

-5

-p

7 / 11

Two square roots of unity are:

 

1, [katex] \omega [/katex]

[katex] \omega, {\omega}^{2} [/katex]

1 , -1

1,[katex]- \omega [/katex]

8 / 11

\( \frac { 1 }{ \alpha } +\frac { 1 }{ \beta } \) is equal to:

\( \frac{1}{\alpha} \)

\( \frac{\alpha - \beta}{\alpha\beta} \)

\( \frac{\alpha + \beta}{\alpha\beta} \)

\( \frac{1}{\alpha} - \frac{1}{\beta} \)

9 / 11

If \(\){ b }^{ 2 } - 4ac < 0, [/latex] then the roots are:

Imaginary

Rational and equal

Rational and unequal

Irrational and unequal

10 / 11

Roots of the equation \({ 4x }^{ 2 } - 5x + 2 = 0,\) are

Rational

None of these

Imaginary

Irrational

11 / 11

Each complex cube root of unity is _________ of each other.

Image

Converse

Square

Reciprocal

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Unit 3
Variations

Practice MCQs Test No 1

/10

116

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10

If a ∶ b = c ∶ d then a ∶ a - b = c ∶ c - d is called theorem of:

Invertendo

Componendo

Dividendo

Alternando

2 / 10

In continued proportion a : b ∷ b : c , “c” is said to be ________ proportional to “a” and “b”.

Third

Fourth

Means

Antecedent

3 / 10

The mean proportional of 2 and 128 is:

[katex] \pm2 [/katex]

[katex] \pm8 [/katex]

[katex] \pm16 [/katex]

[katex] \pm9 [/katex]

4 / 10

If \( \frac { a }{ b } = \frac { c }{ d } \) then Componendo property is:

\( \frac{a}{a + b} = \frac{c}{c + d} \)

\( \frac{a}{a - b} = \frac{c}{c - d} \)

\( \frac{a - b}{b} = \frac{c - d}{d} \)

\( \frac{ad}{bc} \)

5 / 10

The simplest form of 450cm, 3m is:

3 ∶ 2

150 ∶ 1

1 ∶ 150

2 : 3

6 / 10

If \( \frac { u }{ v } = \frac { v }{ w } = k \) , then:

\( u = {w}^{2}k \)

\( u = w{k}^{2} \)

\( u = v{k}^{2} \)

\( u = {v}^{2}k \)

7 / 10

The fourth proportional w of x ∶ y ∷ v ∶ w is:

[katex] \frac{vy}{x} [/katex]

[katex] \frac{x}{vy} [/katex]

[katex] \frac{xy}{v} [/katex]

xvy

8 / 10

The value of x in proportion 4 ∶ x ∷ 5 ∶ 15 is:

[katex] \frac {75}{4} [/katex]

[katex] \frac{3}{4} [/katex]

[katex] \frac {4}{3} [/katex]

12

9 / 10

In a continued proportion a ∶ b ∷ b ∶ c  or  ac = b²,  b is said to be _______ proportional

Both third and fourth

Fourth

Third

Means

10 / 10

In ratio a ∶ b, the b is called ________. (‘b’ is the second term)

Consequent

Antecedent

Extreme

Mean

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Practice MCQs Test No 2

/8

68

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8

If a ∶ b = x ∶ y , then Invertendo property is:

[katex] \frac{b}{a} = \frac{y}{x} [/katex]

[katex] \frac{a + b}{b} = \frac{x + y}{y} [/katex]

[katex] \frac{a}{a - b} = \frac{x}{x - y} [/katex]

[katex] \frac{a}{x} = \frac{b}{y} [/katex]

2 / 8

In a ratio a : b, ‘a’ is called:

Relation

Antecedent

Consequent

None of these

3 / 8

In a proportion a ∶ b ∷ c ∶ d ‘b’ and ‘c’ are called:

Fourth proportional

None of these

Means

Extremes

4 / 8

If \( { y }^{ 2 } \alpha \frac { 1 }{ { x }^{ 3 } } \) then:

\( {y}^{2} = k{x}^{3} \)

\( {y}^{2} = {x}^{2} \)

\( {y}^{2} = \frac{k}{{x}^{3}} \)

\( {y}^{2} = \frac{1}{{x}^{3}} \)

5 / 8

In a proportion a ∶ b ∷ c ∶ d ‘a’ and ‘d’ are called:

None of these

Extremes

Third proportional

Means

6 / 8

If \( u \alpha { v }^{ 2 }\) , then:

\( u = {v}^{2}\)

\( u{ v}^{2} = 1 \)

\( u = k {v}^{2} \)

\( u {v}^{2} = k \)

7 / 8

The third proportional of \( { x }^{ 2 } \quad and \quad { y }^{ 2 } \) is:

\( \frac{{y}^{4}}{{x}^{2}} \)

\( {x}^{2}{y}^{2} \)

\( \frac{{y}^{2}}{{x}^{4}} \)

\( \frac{{y}^{2}}{{x}^{2}} \)

8 / 8

If a ∶ b = x ∶ y , then alternando property is:

[katex] \frac{a - b}{x} = \frac{x - y}{y} [/katex]

[katex] \frac{a}{b} = \frac{x}{y} [/katex]

[katex] \frac{a}{x} = \frac{b}{y} [/katex]

[katex] \frac{a + b}{b} = \frac{x + y}{y} [/katex]

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9

82

Class 10 Mathematics
Chapter 4
Practice MCQs Test No 1

1 / 9

A fraction in which the degree of the numerator is equal to or greater than the degree of denominator is called:

Irrational fraction

Rational fraction

Proper fraction

Improper fraction

2 / 9

\( \frac { 2x + 1 } { { (x } + 1)(x - 1) } \) is:

A proper fraction

An improper fraction

None of these

An equation

3 / 9

Partial fraction of \( \frac { x - 2 }{ { (x } - 1)(x + 2) } \) are of the form:

\( \frac{A}{{x} - 1}+frac{B}{{x} + 2} \)

\( \frac{Ax}{{x} - 1}+ \frac{B}{{x} + 2} \)

\( \frac{Ax + B}{{x }- 1}+ \frac{C}{{x} + 2} \)

\( \frac{A}{{x} - 1}+ \frac{Bx+C}{{x} + 2} \)

4 / 9

\(  \frac { { x }^{ 3 } + 1 }{ { (x } - 1)(x + 2) } \) is:

An improper fraction

A constant term

An identity

A proper fraction

5 / 9

Partial fraction of \( \frac { x - 2 }{ { (x } - 1)({ x }^{ 2 } + 2) } \) are of the form:

\( \frac{A}{{x} + 1} + \frac{Bx + C}{{{x}^{2}} + 2}\)

\( \frac{A}{{x} + 1} + \frac{Bx}{{{x}^{2}} + 2}\)

\( \frac{A}{{x} + 1}+ \frac{B}{{{x}^{2}} + 2}\)

\( \frac{Ax + B}{{x} + 1} + \frac{C}{{{x}^{2}} + 2}\)

6 / 9

Partial fraction of \(  \frac { { x }^{ 2 } + 1 }{ (x + 1)(x - 1) } \) are of the form:

\( 1+ \frac{A}{x + 1} + \frac{Bx + C}{x - 1}\)

\( 1+ \frac{A}{x + 1}+ \frac{B}{x - 1}\)

\( \frac{A}{x + 1}+ \frac{B}{x - 1}\)

\( \frac{Ax + B}{x + 1}+ \frac{C}{x - 1}\)

7 / 9

Partial fraction of \(\frac { x + 2 }{ { (x } - 1)({ x }^{ 2 } + 2) } \) are of the form:

\( \frac{A}{{x}+1}+\frac{B}{{{x}^{2}} + 2} \)

\( \frac{Ax + B}{{x} + 1} + \frac{C}{{{x}^{2}} + 2} \)

\( \frac{A}{{x} + 1} + \frac{Bx + C}{{{x}^{2}} + 2} \)

\( \frac{A}{{x} + 1}+ \frac{Bx}{{{x}^{2}} + 2} \)

8 / 9

\(  \frac { { x }^{ 5 } }{ { ({ x }^{ 2 } + 1) }^{ 2 } } \) is:

An improper fraction

An identity

A constant term

A proper fraction

9 / 9

A fraction in which the degree of the numerator is less than the degree of denominator is called:

An identity

An improper fraction

An equation

A proper fraction

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10

77

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10

The domain of R={(0,2),(2,3),(3,3),(3,4)} is:

{0,2,3}

{0,3,4}

{0,2,4}

{2,3,4}

2 / 10

If A and B are two disjoint sets, then A∪B is equal to:

Φ

A

B

BUA

3 / 10

A ∩ A' =

[katex]{A}^{C}[/katex]

A

Φ

U

4 / 10

If A ⊆ B , then A - B is equal to

A

B

B-A

Φ

5 / 10

If A ⊆ B , then A ∩ B is equal to

Φ

A

B

U

6 / 10

X-Y=?

Y-X

Y ∩X'

(Y - X)'

X ∩ Y'

7 / 10

The range of the relation R={(1,3),(2,2),(3,1),(4,4)} is:

{1,2,3,4}

{1,3,4}

{3,2,4}

{1,2,3}

8 / 10

A function f:A→B is called _______ function if every element of the set B is an image of at least one element of the set A i.e. Range of f=B.

Into

Surjective

Bijective

Injective

9 / 10

If A ⊆ B, then A ∪ B is equal to

U

A

Φ

B

10 / 10

If number of elements in set A is ‘3’ & in B is ‘2’, then number of binary relations in A×B is:

[katex]{2}^{3}[/katex]

[katex]{2}^{8}[/katex]

[katex]{2}^{6}[/katex]

[katex]{2}^{2}[/katex]

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Practice MCQs Test No 2

/8

63

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

1 / 8

If A has 3 elements and B has 2 elements, then number of all binary relations of A×B are:

4

6

8

64

2 / 8

Point (-2,-3) lies in the quadrant:

I

IV

II

III

3 / 8

Power set of an empty set:

Has two elements

Does not exist

Is empty

Has one element

4 / 8

If A=N, B=Z then A ∩ B =

Z

R

N

W

5 / 8

A function f : A\( \rightarrow \)B is called Bijective function if function f is:

one-one function

onto and one-one function

into function

onto function

6 / 8

Point (-1,4) lies in the quadrant:

II

III

IV

I

7 / 8

The relation {(1,2),(2,3),(3,3),(3,4)} is:

not a function

into function

onto function

one-one function

8 / 8

The number of elements in power set {1,2,3} is:

9

6

4

8

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