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

1578

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

Radical equation

None of these

Reciprocal equation

2 / 10

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

Exponential

Pure

Reciprocal

Standard

3 / 10

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

Exponential equation

Radical equation

Reciprocal equation

None of these

4 / 10

The solution set of 5x²=15x is:

{3,-3}

{0}

{0,-3}

{0,3}

5 / 10

Standard form of quadratic equation is:

ax²+bx+c=0 a≠0

bx+c=0 , b≠0

ax²=0 , a≠0

ax²=bx , a≠0

6 / 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)

7 / 10

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

1

2

3

4

8 / 10

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

Reciprocal equation

None of these

Radical equation

Exponential equation

9 / 10

The number of methods to solve a quadratic equation is:

1

4

2

3

10 / 10

The solution set of 4x²-16=0 is:

{±4}

{±8}

{±1}

{±2}

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10

903

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10

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

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

-8

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

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

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

-4

-2

4

3 / 10

Sum of the cube roots of unity is:

1

0

3

-1

4 / 10

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

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

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

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

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

5 / 10

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

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

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

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

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

6 / 10

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

Irrational

Real,equal

Imaginary

Real,unequal

7 / 10

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

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

1

a - b

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

8 / 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:

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

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

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

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

9 / 10

The product of cube roots of unity is:

3

0

-1

1

10 / 10

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

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

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

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

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

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Practice MCQs Test No 2

/11

564

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11

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

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

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

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

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

2 / 11

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

Reciprocal

Converse

Image

Square

3 / 11

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

Imaginary

None of these

Irrational

Rational

4 / 11

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

Sum of roots

Synthetic division

Discriminant

Product of roots

5 / 11

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

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

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

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

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

6 / 11

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

Imaginary

Irrational and unequal

Rational and unequal

Rational and equal

7 / 11

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

None of these

Imaginary

Rational

Irrational

8 / 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]

9 / 11

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

-p

p

5

-5

10 / 11

Two square roots of unity are:

 

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

1, [katex] \omega [/katex]

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

1 , -1

11 / 11

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

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

\( \alpha + \beta\)

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

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

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Unit 3
Variations

Practice MCQs Test No 1

/10

604

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10

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

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

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

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

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

2 / 10

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

Mean

Extreme

Consequent

Antecedent

3 / 10

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

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

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

xvy

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

4 / 10

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

Third

Both third and fourth

Fourth

Means

5 / 10

The simplest form of 450cm, 3m is:

2 : 3

3 ∶ 2

1 ∶ 150

150 ∶ 1

6 / 10

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

Third

Antecedent

Fourth

Means

7 / 10

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

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

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

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

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

8 / 10

The mean proportional of 2 and 128 is:

[katex] \pm8 [/katex]

[katex] \pm9 [/katex]

[katex] \pm16 [/katex]

[katex] \pm2 [/katex]

9 / 10

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

12

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

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

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

10 / 10

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

Invertendo

Alternando

Dividendo

Componendo

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Practice MCQs Test No 2

/8

405

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8

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

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

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

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

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

2 / 8

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

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

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

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

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

3 / 8

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

None of these

Extremes

Means

Fourth proportional

4 / 8

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

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

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

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

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

5 / 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]

6 / 8

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

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

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

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

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

7 / 8

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

Extremes

Third proportional

None of these

Means

8 / 8

In a ratio a : b, ‘a’ is called:

Consequent

Relation

Antecedent

None of these

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9

547

Class 10 Mathematics
Chapter 4
Practice MCQs Test No 1

1 / 9

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

A proper fraction

An improper fraction

An equation

An identity

2 / 9

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

None of these

An equation

An improper fraction

A proper fraction

3 / 9

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

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

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

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

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

4 / 9

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

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

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

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

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

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

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

A constant term

A proper fraction

An identity

An improper fraction

7 / 9

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

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

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

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

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

8 / 9

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

A constant term

An improper fraction

An identity

A proper fraction

9 / 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

Improper fraction

Proper fraction

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10

497

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}

{0,2,4}

{2,3,4}

{0,3,4}

2 / 10

If A ⊆ B, then A ∪ B is equal to

U

B

Φ

A

3 / 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}^{6}[/katex]

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

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

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

4 / 10

If A ⊆ B , then A - B is equal to

A

B-A

B

Φ

5 / 10

If A ⊆ B , then A ∩ B is equal to

U

A

B

Φ

6 / 10

X-Y=?

(Y - X)'

X ∩ Y'

Y ∩X'

Y-X

7 / 10

A ∩ A' =

A

Φ

U

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

8 / 10

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

{1,2,3,4}

{3,2,4}

{1,2,3}

{1,3,4}

9 / 10

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

A

BUA

B

Φ

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

Bijective

Injective

Into

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Practice MCQs Test No 2

/8

471

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

1 / 8

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

one-one function

onto and one-one function

onto function

into function

2 / 8

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

64

6

4

8

3 / 8

If A=N, B=Z then A ∩ B =

R

W

Z

N

4 / 8

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

onto function

into function

one-one function

not a function

5 / 8

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

8

4

6

9

6 / 8

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

III

IV

I

II

7 / 8

Power set of an empty set:

Is empty

Does not exist

Has one element

Has two elements

8 / 8

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

III

I

IV

II

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