MCQs of Maths for Class 10

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5

Practice MCQs Test No 1

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

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Unit 1 MCQs Grand Test

Unit 2 – Theory of Quadratic Equations

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Unit 3 – Variations

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Unit 4 – Partial Fractions

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Unit 5 – Sets and Functions

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Unit 6 – Basic Statistics

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Unit 7 – Introduction to Trignometery

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Unit 8 – Projection of a Side of a Triangle

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Unit 9 – Chords of a Circle

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Unit 10 – Tangent to a Circle

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Unit 11 – Chords and Arcs

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Unit 12 – Angle in a Segment of a Circle

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Unit 13 – Practical Geometry – Circles

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Unit 1
Quadratic Equations

Practice MCQs Test No 1

/10
1727

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 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)

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

Exponential equation
Reciprocal equation
None of these
Radical equation

4 / 10
The number of terms in a standard quadratic equation ax²+bx+c=0 are:
4
1
3
2

5 / 10

The solution set of 5x²=15x is:
{0,3}
{3,-3}
{0,-3}
{0}

6 / 10
The solution set of 4x²-16=0 is:
{±8}
{±2}
{±4}
{±1}

7 / 10
An equation, which remains unchanged when x is replaced by 1/x is called a/an:
Radical equation
None of these
Reciprocal equation
Exponential equation

8 / 10
An equation of the form 2x⁴-3x³+7x²-3x+2=0 are:
None of these
Exponential equation
Reciprocal equation
Radical equation

9 / 10
The number of methods to solve a quadratic equation is:
1
4
3
2

10 / 10
If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:
Pure
Exponential
Reciprocal
Standard

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10
1063

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10
The discriminant of quadratic equation \( { 6x }^{ 2 } - 8x + 3 = 0 \) is:
\( \frac { 8 }{ 3 } \)
-8
\( \frac { 4\pm i\sqrt { 2 } }{ 2 } \)
\( \frac{1}{2} \)

2 / 10
Roots of the equation \( { 4x }^{ 2 } - 4x + 1 = 0 \) are:
Imaginary
Irrational
Real,equal
Real,unequal

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
The product of cube roots of unity is:
3
1
-1
0

5 / 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

6 / 10
The sum of roots of \( (a + b){ x }^{ 2 } - ax + b = 0 \) is:
\( \frac{b}{a + b} \)
a - b
1
\( \frac{a}{a + b} \)

7 / 10
Sum of the cube roots of unity is:
0
3
1
-1

8 / 10
If \( \alpha ,\beta \) are the roots of \( { 3x }^{ 2 } + 5x - 2 = 0,\) then \("\alpha +\beta "\) is:
\( \frac{3}{5} \)
\( \frac{5}{3} \)
\( \frac{ - 2}{3} \)
\( \frac{ - 5}{3} \)

9 / 10
If \( \alpha ,\beta \) are the roots of \({ 7x }^{ 2 } - x + 4 = 0, \) then \("\alpha \beta "\) is:
\( \frac{7}{4} \)
\( - \frac{4}{7} \)
\( \frac{4}{7} \)
\(- \frac{1}{7} \)

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
760

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11
If \(\){ b }^{ 2 } - 4ac < 0, [/latex] then the roots are:
Rational and equal
Rational and unequal
Irrational and unequal
Imaginary

2 / 11
Roots of the equation \({ 4x }^{ 2 } - 5x + 2 = 0,\) are
Imaginary
Rational
None of these
Irrational

3 / 11
Two square roots of unity are:

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

4 / 11
Each complex cube root of unity is _________ of each other.
Converse
Image
Reciprocal
Square

5 / 11
\( \frac { 1 }{ \alpha } +\frac { 1 }{ \beta } \) is equal to:
\( \frac{1}{\alpha} - \frac{1}{\beta} \)
\( \frac{1}{\alpha} \)
\( \frac{\alpha - \beta}{\alpha\beta} \)
\( \frac{\alpha + \beta}{\alpha\beta} \)

6 / 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]

7 / 11
If \( \alpha ,\beta \) are the roots of \( { x }^{ 2 } - 5x + p = 0, \) then \( \alpha \beta \) is:
-p
p
5
-5

8 / 11
\({ \alpha }^{ 2 } + { \beta }^{ 2 } \) is equal to
\( \alpha + \beta\)
\( \frac{1}{{\alpha}^{2}} + \frac{1}{{\beta}^{2}} \)
\( {(\alpha+\beta)}^{2} - 2\alpha\beta \)
\({\alpha}^{2} - {\beta}^{2}\)

9 / 11
If b² - 4ac > 0, but not a perfect square then roots of \({ ax }^{ 2 } + bx + c = 0\) are:
Rational
None of these
Irrational
Imaginary

10 / 11
The nature of roots of equation \({ ax }^{ 2 } + bx + c = 0,\) is determined by:
Product of roots
Synthetic division
Sum of roots
Discriminant

11 / 11
The discriminant of \( { ax }^{ 2 } + bx + c = 0 \), is:
\( {-b}^{2} + 4ac \)
\( {b}^{2 } - 4ac \)
\( {b}^{2} + 4ac \)
\( {-b}^{2} - 4ac \)

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Unit 3
Variations

Practice MCQs Test No 1

/10
777

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
Third
Means
Fourth
Both third and fourth

2 / 10
If \( \frac { a }{ b } = \frac { c }{ d } \) then Componendo property is:
\( \frac{ad}{bc} \)
\( \frac{a - b}{b} = \frac{c - d}{d} \)
\( \frac{a}{a - b} = \frac{c}{c - d} \)
\( \frac{a}{a + b} = \frac{c}{c + d} \)

3 / 10
The fourth proportional w of x ∶ y ∷ v ∶ w is:
xvy
[katex] \frac{x}{vy} [/katex]
[katex] \frac{vy}{x} [/katex]
[katex] \frac{xy}{v} [/katex]

4 / 10
In ratio a ∶ b, the b is called . (‘b’ is the second term)
Consequent
Extreme
Mean
Antecedent

5 / 10
The value of x in proportion 4 ∶ x ∷ 5 ∶ 15 is:
[katex] \frac {4}{3} [/katex]
[katex] \frac {75}{4} [/katex]
[katex] \frac{3}{4} [/katex]
12

6 / 10
If a ∶ b = c ∶ d then a ∶ a - b = c ∶ c - d is called theorem of:
Componendo
Dividendo
Invertendo
Alternando

7 / 10
If \( \frac { u }{ v } = \frac { v }{ w } = k \) , then:
\( u = w{k}^{2} \)
\( u = {w}^{2}k \)
\( u = {v}^{2}k \)
\( u = v{k}^{2} \)

8 / 10
The simplest form of 450cm, 3m is:
3 ∶ 2
1 ∶ 150
150 ∶ 1
2 : 3

9 / 10
In continued proportion a : b ∷ b : c , “c” is said to be __ proportional to “a” and “b”.
Third
Antecedent
Means
Fourth

10 / 10
The mean proportional of 2 and 128 is:
[katex] \pm8 [/katex]
[katex] \pm16 [/katex]
[katex] \pm9 [/katex]
[katex] \pm2 [/katex]

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Practice MCQs Test No 2

/8
513

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8
If \( { y }^{ 2 } \alpha \frac { 1 }{ { x }^{ 3 } } \) then:
\( {y}^{2} = {x}^{2} \)
\( {y}^{2} = k{x}^{3} \)
\( {y}^{2} = \frac{k}{{x}^{3}} \)
\( {y}^{2} = \frac{1}{{x}^{3}} \)

2 / 8
If a ∶ b = x ∶ y , then Invertendo property is:
[katex] \frac{a}{x} = \frac{b}{y} [/katex]
[katex] \frac{a}{a - b} = \frac{x}{x - y} [/katex]
[katex] \frac{b}{a} = \frac{y}{x} [/katex]
[katex] \frac{a + b}{b} = \frac{x + y}{y} [/katex]

3 / 8
In a ratio a : b, ‘a’ is called:
Relation
Antecedent
None of these
Consequent

4 / 8
If \( u \alpha { v }^{ 2 }\) , then:
\( u {v}^{2} = k \)
\( u = k {v}^{2} \)
\( u = {v}^{2}\)
\( u{ v}^{2} = 1 \)

5 / 8
In a proportion a ∶ b ∷ c ∶ d ‘a’ and ‘d’ are called:
None of these
Means
Extremes
Third proportional

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 proportion a ∶ b ∷ c ∶ d ‘b’ and ‘c’ are called:
Extremes
Means
None of these
Fourth proportional

8 / 8
If a ∶ b = x ∶ y , then alternando property is:
[katex] \frac{a}{x} = \frac{b}{y} [/katex]
[katex] \frac{a}{b} = \frac{x}{y} [/katex]
[katex] \frac{a + b}{b} = \frac{x + y}{y} [/katex]
[katex] \frac{a - b}{x} = \frac{x - y}{y} [/katex]

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9
658

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:
An improper fraction
An identity
An equation
A proper fraction

2 / 9
\( \frac { { x }^{ 3 } + 1 }{ { (x } - 1)(x + 2) } \) is:
A constant term
An identity
An improper fraction
A proper fraction

3 / 9
Partial fraction of \( \frac { x - 2 }{ { (x } - 1)(x + 2) } \) are of the form:
\( \frac{A}{{x} - 1}+frac{B}{{x} + 2} \)
\( \frac{A}{{x} - 1}+ \frac{Bx+C}{{x} + 2} \)
\( \frac{Ax}{{x} - 1}+ \frac{B}{{x} + 2} \)
\( \frac{Ax + B}{{x }- 1}+ \frac{C}{{x} + 2} \)

4 / 9
Partial fraction of \( \frac { { x }^{ 2 } + 1 }{ (x + 1)(x - 1) } \) are of the form:
\( 1+ \frac{A}{x + 1}+ \frac{B}{x - 1}\)
\( \frac{Ax + B}{x + 1}+ \frac{C}{x - 1}\)
\( \frac{A}{x + 1}+ \frac{B}{x - 1}\)
\( 1+ \frac{A}{x + 1} + \frac{Bx + C}{x - 1}\)

5 / 9
Partial fraction of \( \frac { x - 2 }{ { (x } - 1)({ x }^{ 2 } + 2) } \) are of the form:
\( \frac{Ax + B}{{x} + 1} + \frac{C}{{{x}^{2}} + 2}\)
\( \frac{A}{{x} + 1} + \frac{Bx + C}{{{x}^{2}} + 2}\)
\( \frac{A}{{x} + 1} + \frac{Bx}{{{x}^{2}} + 2}\)
\( \frac{A}{{x} + 1}+ \frac{B}{{{x}^{2}} + 2}\)

6 / 9
A fraction in which the degree of the numerator is equal to or greater than the degree of denominator is called:
Rational fraction
Irrational fraction
Proper fraction
Improper fraction

7 / 9
\( \frac { 2x + 1 } { { (x } + 1)(x - 1) } \) is:
An equation
A proper fraction
None of these
An improper fraction

8 / 9
\( \frac { { x }^{ 5 } }{ { ({ x }^{ 2 } + 1) }^{ 2 } } \) is:
An improper fraction
A constant term
An identity
A proper fraction

9 / 9
Partial fraction of \(\frac { x + 2 }{ { (x } - 1)({ x }^{ 2 } + 2) } \) are of the form:
\( \frac{A}{{x} + 1} + \frac{Bx + C}{{{x}^{2}} + 2} \)
\( \frac{A}{{x} + 1}+ \frac{Bx}{{{x}^{2}} + 2} \)
\( \frac{Ax + B}{{x} + 1} + \frac{C}{{{x}^{2}} + 2} \)
\( \frac{A}{{x}+1}+\frac{B}{{{x}^{2}} + 2} \)

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10
622

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 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}^{6}[/katex]
[katex]{2}^{2}[/katex]
[katex]{2}^{8}[/katex]

2 / 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
Into
Injective

3 / 10
If A ⊆ B, then A ∪ B is equal to
Φ
U
A
B

4 / 10
If A and B are two disjoint sets, then A∪B is equal to:
BUA
Φ
A
B

5 / 10
The domain of R={(0,2),(2,3),(3,3),(3,4)} is:
{0,2,4}
{0,3,4}
{0,2,3}
{2,3,4}

6 / 10
If A ⊆ B , then A - B is equal to
B
Φ
B-A
A

7 / 10
A ∩ A' =
[katex]{A}^{C}[/katex]
U
A
Φ

8 / 10
If A ⊆ B , then A ∩ B is equal to
U
B
A
Φ

9 / 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}

10 / 10
X-Y=?
Y ∩X'
X ∩ Y'
Y-X
(Y - X)'

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Practice MCQs Test No 2

/8
607

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

1 / 8
Power set of an empty set:
Has one element
Does not exist
Is empty
Has two elements

2 / 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

3 / 8
Point (-1,4) lies in the quadrant:
IV
II
III
I

4 / 8
Point (-2,-3) lies in the quadrant:
IV
I
III
II

5 / 8
If A=N, B=Z then A ∩ B =
N
R
W
Z

6 / 8
The number of elements in power set {1,2,3} is:
4
6
8
9

7 / 8
The relation {(1,2),(2,3),(3,3),(3,4)} is:
onto function
not a function
into function
one-one function

8 / 8
A function f : A\( \rightarrow \)B is called Bijective function if function f is:
onto and one-one function
onto function
one-one function
into function

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MCQs of Maths for Class 10 Practice Tests

Unit 1 – Quadratic Equations

Practice Tests

Quiz Test

Unit 2 – Theory of Quadratic Equations

Practice Tests

Quiz Test

Unit 3 – Variations

Practice Tests

Quiz Test

Unit 4 – Partial Fractions

Practice Tests

Quiz Test

Unit 5 – Sets and Functions

Practice Tests

Quiz Test

Unit 6 – Basic Statistics

Practice Tests

Quiz Test

Unit 7 – Introduction to Trignometery

Practice Tests

Quiz Test

Unit 8 – Projection of a Side of a Triangle

Practice Tests

Quiz Test

Unit 9 – Chords of a Circle

Practice Tests

Quiz Test

Unit 10 – Tangent to a Circle

Practice Tests

Quiz Test

Unit 11 – Chords and Arcs

Practice Tests

Quiz Test

Unit 12 – Angle in a Segment of a Circle

Practice Tests

Quiz Test

Unit 13 – Practical Geometry – Circles

Practice Tests

Quiz Test

Unit 1Quadratic Equations

Practice MCQs Test No 1

Unit 2Theory of Quadratic Equations

Practice MCQs Test No 1

Practice MCQs Test No 2

Unit 3Variations

Practice MCQs Test No 1

Practice MCQs Test No 2

Unit 4Partial Fractions

Practice MCQs Test No 1

Unit 5Sets and Functions

Practice MCQs Test No 1

Practice MCQs Test No 2

Unit 1
Quadratic Equations

Unit 2
Theory of Quadratic Equations

Unit 3
Variations

Unit 4
Partial Fractions

Unit 5
Sets and Functions