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

1399

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 10

The number of methods to solve a quadratic equation is:

3

4

2

1

2 / 10

Standard form of quadratic equation is:

bx+c=0 , b≠0

ax²+bx+c=0 a≠0

ax²=0 , a≠0

ax²=bx , a≠0

3 / 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

4 / 10

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

1

4

3

2

5 / 10

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

Exponential

Reciprocal

Pure

Standard

6 / 10

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

Exponential equation

None of these

Radical equation

Reciprocal equation

7 / 10

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

(x+7) and (x+8)

(x-6) and (x-9)

(x-7) and (x-8)

(x-7) and (x+8)

8 / 10

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

Exponential equation

None of these

Radical equation

Reciprocal equation

9 / 10

The solution set of 5x²=15x is:

{0}

{0,3}

{0,-3}

{3,-3}

10 / 10

The solution set of 4x²-16=0 is:

{±4}

{±2}

{±1}

{±8}

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10

899

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10

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

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

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

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

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

2 / 10

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

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

1

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

a - b

3 / 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:

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

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

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

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

4 / 10

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

-8

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

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

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

5 / 10

The product of cube roots of unity is:

3

-1

1

0

6 / 10

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

4

-2

2

-4

7 / 10

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

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

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

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

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

8 / 10

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

Irrational

Imaginary

Real,equal

Real,unequal

9 / 10

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

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

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

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

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

10 / 10

Sum of the cube roots of unity is:

0

3

-1

1

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Practice MCQs Test No 2

/11

638

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11

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

p

-p

-5

5

2 / 11

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

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

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

\( \alpha + \beta\)

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

3 / 11

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

Image

Converse

Reciprocal

Square

4 / 11

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

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

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

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

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

5 / 11

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

Irrational and unequal

Imaginary

Rational and unequal

Rational and equal

6 / 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

7 / 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]

8 / 11

Two square roots of unity are:

 

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

1 , -1

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

1, [katex] \omega [/katex]

9 / 11

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

Synthetic division

Discriminant

Product of roots

Sum of roots

10 / 11

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

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

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

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

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

11 / 11

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

Irrational

None of these

Rational

Imaginary

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Unit 3
Variations

Practice MCQs Test No 1

/10

665

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10

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

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

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

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

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

2 / 10

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

Mean

Antecedent

Consequent

Extreme

3 / 10

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

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

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

12

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

4 / 10

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

Third

Antecedent

Means

Fourth

5 / 10

The simplest form of 450cm, 3m is:

150 ∶ 1

2 : 3

1 ∶ 150

3 ∶ 2

6 / 10

The mean proportional of 2 and 128 is:

[katex] \pm16 [/katex]

[katex] \pm9 [/katex]

[katex] \pm2 [/katex]

[katex] \pm8 [/katex]

7 / 10

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

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

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

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

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

8 / 10

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

Both third and fourth

Means

Third

Fourth

9 / 10

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

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

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

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

xvy

10 / 10

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

Invertendo

Alternando

Componendo

Dividendo

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Practice MCQs Test No 2

/8

438

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8

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

Means

None of these

Third proportional

Extremes

2 / 8

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

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

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

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

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

3 / 8

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

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

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

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

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

4 / 8

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

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

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

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

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

5 / 8

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

None of these

Means

Fourth proportional

Extremes

6 / 8

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

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

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

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

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

7 / 8

In a ratio a : b, ‘a’ is called:

Antecedent

None of these

Consequent

Relation

8 / 8

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

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

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

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

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

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9

563

Class 10 Mathematics
Chapter 4
Practice MCQs Test No 1

1 / 9

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

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

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

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

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

2 / 9

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

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

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

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

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

3 / 9

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

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

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

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

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

4 / 9

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

An improper fraction

A proper fraction

A constant term

An identity

5 / 9

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

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

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

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

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

6 / 9

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

An identity

An improper fraction

A constant term

A proper fraction

7 / 9

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

None of these

An equation

A proper fraction

An improper fraction

8 / 9

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

Rational fraction

Proper fraction

Irrational fraction

Improper fraction

9 / 9

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

An improper fraction

A proper fraction

An identity

An equation

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10

530

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10

If A ⊆ B , then A - B is equal to

Φ

A

B-A

B

2 / 10

If A ⊆ B, then A ∪ B is equal to

B

Φ

A

U

3 / 10

A ∩ A' =

U

A

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

Φ

4 / 10

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

A

Φ

B

BUA

5 / 10

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

{1,2,3}

{1,2,3,4}

{3,2,4}

{1,3,4}

6 / 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}^{6}[/katex]

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

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

7 / 10

If A ⊆ B , then A ∩ B is equal to

A

B

U

Φ

8 / 10

X-Y=?

(Y - X)'

Y ∩X'

X ∩ Y'

Y-X

9 / 10

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

{2,3,4}

{0,3,4}

{0,2,4}

{0,2,3}

10 / 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.

Surjective

Into

Injective

Bijective

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Practice MCQs Test No 2

/8

521

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:

64

8

6

4

2 / 8

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

8

9

6

4

3 / 8

Power set of an empty set:

Has two elements

Has one element

Does not exist

Is empty

4 / 8

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

III

II

I

IV

5 / 8

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

III

II

IV

I

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

If A=N, B=Z then A ∩ B =

W

R

N

Z

8 / 8

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

onto function

onto and one-one function

into function

one-one function

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