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

1585

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:

Radical equation

Exponential equation

Reciprocal equation

None of these

2 / 10

Standard form of quadratic equation is:

ax²=bx , a≠0

ax²=0 , a≠0

ax²+bx+c=0 a≠0

bx+c=0 , b≠0

3 / 10

The solution set of 5x²=15x is:

{3,-3}

{0}

{0,-3}

{0,3}

4 / 10

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

None of these

Exponential equation

Radical equation

Reciprocal equation

5 / 10

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

(x+7) and (x+8)

(x-7) and (x-8)

(x-6) and (x-9)

(x-7) and (x+8)

6 / 10

The solution set of 4x²-16=0 is:

{±8}

{±1}

{±2}

{±4}

7 / 10

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

None of these

Exponential equation

Radical equation

Reciprocal equation

8 / 10

The number of methods to solve a quadratic equation is:

1

2

3

4

9 / 10

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

4

1

3

2

10 / 10

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

Standard

Reciprocal

Pure

Exponential

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10

906

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10

Sum of the cube roots of unity is:

3

-1

0

1

2 / 10

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

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

1

a - b

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

3 / 10

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

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

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

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

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

4 / 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

-4

2

4

5 / 10

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

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

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

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

-8

6 / 10

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

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

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

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

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

7 / 10

The product of cube roots of unity is:

0

3

-1

1

8 / 10

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

Irrational

Real,equal

Imaginary

Real,unequal

9 / 10

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

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

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

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

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

10 / 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:

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

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

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

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

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Practice MCQs Test No 2

/11

565

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 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]

2 / 11

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

Rational and unequal

Imaginary

Rational and equal

Irrational and unequal

3 / 11

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

Product of roots

Sum of roots

Synthetic division

Discriminant

4 / 11

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

Imaginary

Rational

None of these

Irrational

5 / 11

Two square roots of unity are:

 

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

1, [katex] \omega [/katex]

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

1 , -1

6 / 11

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

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

\( \alpha + \beta\)

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

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

7 / 11

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

-5

-p

p

5

8 / 11

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

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

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

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

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

9 / 11

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

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

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

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

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

10 / 11

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

Image

Square

Converse

Reciprocal

11 / 11

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

Rational

None of these

Imaginary

Irrational

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Unit 3
Variations

Practice MCQs Test No 1

/10

606

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10

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

Consequent

Antecedent

Mean

Extreme

2 / 10

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

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

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

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

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

3 / 10

The simplest form of 450cm, 3m is:

150 ∶ 1

3 ∶ 2

2 : 3

1 ∶ 150

4 / 10

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

Componendo

Alternando

Invertendo

Dividendo

5 / 10

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

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

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

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

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

6 / 10

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

Fourth

Antecedent

Means

Third

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

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

Third

Both third and fourth

Means

Fourth

9 / 10

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

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

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

12

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

10 / 10

The mean proportional of 2 and 128 is:

[katex] \pm2 [/katex]

[katex] \pm9 [/katex]

[katex] \pm16 [/katex]

[katex] \pm8 [/katex]

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Practice MCQs Test No 2

/8

408

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

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

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

2 / 8

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

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

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

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

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

3 / 8

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

Fourth proportional

Means

Extremes

None of these

4 / 8

In a ratio a : b, ‘a’ is called:

None of these

Antecedent

Consequent

Relation

5 / 8

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

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

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

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

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

6 / 8

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

Means

Extremes

Third proportional

None of these

7 / 8

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

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

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

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

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

8 / 8

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

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

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

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

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

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9

550

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

Proper fraction

Rational fraction

Improper fraction

2 / 9

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

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

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

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

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

3 / 9

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

A proper fraction

None of these

An equation

An improper fraction

4 / 9

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

An equation

An improper fraction

An identity

A proper fraction

5 / 9

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

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

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

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

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

6 / 9

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

An identity

A constant term

A proper fraction

An improper fraction

7 / 9

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

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

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

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

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

8 / 9

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

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

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

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

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

9 / 9

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

An improper fraction

An identity

A constant term

A proper fraction

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10

499

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10

X-Y=?

X ∩ Y'

Y ∩X'

Y-X

(Y - X)'

2 / 10

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

{3,2,4}

{1,2,3}

{1,3,4}

{1,2,3,4}

3 / 10

If A ⊆ B, then A ∪ B is equal to

Φ

U

A

B

4 / 10

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

{0,2,3}

{2,3,4}

{0,3,4}

{0,2,4}

5 / 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.

Bijective

Injective

Into

Surjective

6 / 10

If A ⊆ B , then A ∩ B is equal to

B

Φ

A

U

7 / 10

If A ⊆ B , then A - B is equal to

B

A

Φ

B-A

8 / 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}^{8}[/katex]

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

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

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

9 / 10

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

B

Φ

BUA

A

10 / 10

A ∩ A' =

U

A

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

Φ

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Practice MCQs Test No 2

/8

475

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

1 / 8

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

IV

I

III

II

2 / 8

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

9

4

6

8

3 / 8

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

4

64

8

6

4 / 8

If A=N, B=Z then A ∩ B =

W

R

Z

N

5 / 8

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

into function

one-one function

onto function

onto and one-one function

6 / 8

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

into function

onto function

one-one function

not a function

7 / 8

Power set of an empty set:

Is empty

Has two elements

Does not exist

Has one element

8 / 8

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

I

II

IV

III

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