MCQs of Maths for Class 10

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Unit 1
Unit 2
Unit 3
Unit 4
Unit 5

Practice MCQs Test No 1

Practice MCQs Test 1

Practice MCQs Test 2

Practice MCQs Test 1

Practice MCQs Test 2

Practice MCQs Test 1

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

9

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 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

2 / 10

The number of methods to solve a quadratic equation is:

1

3

2

4

3 / 10

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

4

2

1

3

4 / 10

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

Exponential

Pure

Reciprocal

Standard

5 / 10

The solution set of 4x²-16=0 is:

{±2}

{±4}

{±8}

{±1}

6 / 10

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

(x-6) and (x-9)

(x-7) and (x-8)

(x-7) and (x+8)

(x+7) and (x+8)

7 / 10

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

None of these

Radical equation

Exponential equation

Reciprocal equation

8 / 10

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

Radical equation

Exponential equation

None of these

Reciprocal equation

9 / 10

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

Reciprocal equation

Exponential equation

Radical equation

None of these

10 / 10

The solution set of 5x²=15x is:

{0,-3}

{0}

{0,3}

{3,-3}

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10

4

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10

The product of cube roots of unity is:

1

0

3

-1

2 / 10

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

Real,unequal

Irrational

Real,equal

Imaginary

3 / 10

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

$\frac{3p}{4}$

$\frac{ - {p}^{2}}{4}$

$\frac{ - 3p}{4}$

$\frac{{p}^{2}}{4}$

4 / 10

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

$\frac{ - 5}{3}$

$\frac{3}{5}$

$\frac{ - 2}{3}$

$\frac{5}{3}$

5 / 10

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

-8

$\frac{1}{2}$

$\frac { 8 }{ 3 }$

$\frac { 4\pm i\sqrt { 2 } }{ 2 }$

6 / 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:

$\frac{r}{p}$

$\frac{ - q}{2p}$

$\frac{ - q}{p}$

$\frac{ - 2q}{p}$

7 / 10

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

$- \frac{4}{7}$

$\frac{7}{4}$

$- \frac{1}{7}$

$\frac{4}{7}$

8 / 10

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

a - b

1

$\frac{a}{a + b}$

$\frac{b}{a + b}$

9 / 10

Sum of the cube roots of unity is:

-1

3

1

0

10 / 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

4

2

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Practice MCQs Test No 2

/11

2

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11

${ \alpha }^{ 2 } + { \beta }^{ 2 }$ is equal to

$\alpha + \beta$

${\alpha}^{2} - {\beta}^{2}$

$\frac{1}{{\alpha}^{2}} + \frac{1}{{\beta}^{2}}$

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

2 / 11

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

Irrational

Rational

None of these

Imaginary

3 / 11

Cube roots of -1 are:

$1, - \omega, - {\omega}^{2}$

$-1, - \omega,- {\omega}^{2}$

$-1, -\omega,{ \omega}^{2}$

$-1, \omega, - {\omega}^{2}$

4 / 11

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

Discriminant

Synthetic division

Sum of roots

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

Two square roots of unity are:

1 , -1

$\omega, {\omega}^{2}$

1, $\omega$

1, $- \omega$

7 / 11

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

Irrational

Imaginary

Rational

None of these

8 / 11

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

Imaginary

Irrational and unequal

Rational and equal

Rational and unequal

9 / 11

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

Square

Reciprocal

Converse

Image

10 / 11

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

${b}^{2 } - 4ac$

${-b}^{2} + 4ac$

${-b}^{2} - 4ac$

${b}^{2} + 4ac$

11 / 11

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

5

-5

p

-p

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Unit 3
Variations

Practice MCQs Test No 1

/10

5

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 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

2 / 10

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

Dividendo

Invertendo

Alternando

Componendo

3 / 10

The mean proportional of 2 and 128 is:

$\pm16$

$\pm2$

$\pm9$

$\pm8$

4 / 10

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

Antecedent

Fourth

Means

Third

5 / 10

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

$u = {w}^{2}k$

$u = {v}^{2}k$

$u = w{k}^{2}$

$u = v{k}^{2}$

6 / 10

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

$\frac{3}{4}$

$\frac {75}{4}$

$\frac {4}{3}$

12

7 / 10

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

$\frac{a - b}{b} = \frac{c - d}{d}$

$\frac{a}{a - b} = \frac{c}{c - d}$

$\frac{a}{a + b} = \frac{c}{c + d}$

$\frac{ad}{bc}$

8 / 10

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

xvy

$\frac{vy}{x}$

$\frac{xy}{v}$

$\frac{x}{vy}$

9 / 10

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

Antecedent

Consequent

Mean

Extreme

10 / 10

The simplest form of 450cm, 3m is:

1 ∶ 150

3 ∶ 2

150 ∶ 1

2 : 3

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Practice MCQs Test No 2

/8

4

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8

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

$\frac{{y}^{2}}{{x}^{2}}$

${x}^{2}{y}^{2}$

$\frac{{y}^{4}}{{x}^{2}}$

$\frac{{y}^{2}}{{x}^{4}}$

2 / 8

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

Extremes

Fourth proportional

Means

None of these

3 / 8

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

$\frac{a + b}{b} = \frac{x + y}{y}$

$\frac{a}{b} = \frac{x}{y}$

$\frac{a}{x} = \frac{b}{y}$

$\frac{a - b}{x} = \frac{x - y}{y}$

4 / 8

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

Extremes

Means

None of these

Third proportional

5 / 8

In a ratio a : b, ‘a’ is called:

None of these

Consequent

Relation

Antecedent

6 / 8

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

$\frac{b}{a} = \frac{y}{x}$

$\frac{a}{a - b} = \frac{x}{x - y}$

$\frac{a + b}{b} = \frac{x + y}{y}$

$\frac{a}{x} = \frac{b}{y}$

7 / 8

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

${y}^{2} = k{x}^{3}$

${y}^{2} = \frac{1}{{x}^{3}}$

${y}^{2} = {x}^{2}$

${y}^{2} = \frac{k}{{x}^{3}}$

8 / 8

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

$u{ v}^{2} = 1$

$u = k {v}^{2}$

$u = {v}^{2}$

$u {v}^{2} = k$

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9

3

Class 10 Mathematics
Chapter 4
Practice MCQs Test No 1

1 / 9

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

An improper fraction

An identity

A proper fraction

A constant term

2 / 9

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

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

$\frac{Ax}{{x} - 1}+ \frac{B}{{x} + 2}$

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

$\frac{A}{{x} - 1}+frac{B}{{x} + 2}$

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 improper fraction

A proper fraction

An identity

An equation

5 / 9

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

A proper fraction

A constant term

An identity

An improper fraction

6 / 9

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

$1+ \frac{A}{x + 1}+ \frac{B}{x - 1}$

$\frac{Ax + B}{x + 1}+ \frac{C}{x - 1}$

$\frac{A}{x + 1}+ \frac{B}{x - 1}$

$1+ \frac{A}{x + 1} + \frac{Bx + C}{x - 1}$

7 / 9

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

Rational fraction

Improper fraction

Irrational fraction

Proper fraction

8 / 9

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

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

$\frac{A}{{x} + 1}+ \frac{Bx}{{{x}^{2}} + 2}$

$\frac{A}{{x}+1}+\frac{B}{{{x}^{2}} + 2}$

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

9 / 9

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

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

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

$\frac{A}{{x} + 1} + \frac{Bx}{{{x}^{2}} + 2}$

$\frac{A}{{x} + 1}+ \frac{B}{{{x}^{2}} + 2}$

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10

4

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10

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

B

Φ

A

BUA

2 / 10

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

{1,2,3,4}

{1,3,4}

{1,2,3}

{3,2,4}

3 / 10

X-Y=?

X ∩ Y'

(Y - X)'

Y ∩X'

Y-X

4 / 10

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

${2}^{2}$

${2}^{6}$

${2}^{8}$

${2}^{3}$

5 / 10

If A ⊆ B , then A - B is equal to

A

B-A

Φ

B

6 / 10

If A ⊆ B, then A ∪ B is equal to

B

U

A

Φ

7 / 10

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

{0,2,3}

{2,3,4}

{0,2,4}

{0,3,4}

8 / 10

If A ⊆ B , then A ∩ B is equal to

A

Φ

U

B

9 / 10

A ∩ A' =

A

Φ

U

${A}^{C}$

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.

Bijective

Surjective

Injective

Into

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Practice MCQs Test No 2

/8

6

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:

8

64

6

4

2 / 8

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

not a function

into function

onto function

one-one function

3 / 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

4 / 8

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

9

4

6

8

5 / 8

Power set of an empty set:

Has two elements

Is empty

Has one element

Does not exist

6 / 8

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

III

II

IV

I

7 / 8

If A=N, B=Z then A ∩ B =

Z

W

R

N

8 / 8

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

III

I

II

IV

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