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 2 MCQs Grand Test

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
306

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

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

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

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

4 / 10
If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:
Reciprocal
Pure
Exponential
Standard

5 / 10
Two linear factors of x²-15x+56=0 are:
(x-7) and (x+8)
(x-7) and (x-8)
(x+7) and (x+8)
(x-6) and (x-9)

6 / 10
The solution set of 5x²=15x is:
{3,-3}
{0,-3}
{0}
{0,3}

7 / 10
Standard form of quadratic equation is:
bx+c=0 , b≠0
ax²=bx , a≠0
ax²=0 , a≠0
ax²+bx+c=0 a≠0

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

9 / 10
An equation of the type
3^x+ 3^2-x+6 = 0 is a/an:
Reciprocal equation
None of these
Radical equation
Exponential equation

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

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10
153

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

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

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

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

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

5 / 10
If \( \alpha ,\beta \) are the roots of \({ 7x }^{ 2 } - x + 4 = 0, \) then \("\alpha \beta "\) is:
\( \frac{4}{7} \)
\( - \frac{4}{7} \)
\( \frac{7}{4} \)
\(- \frac{1}{7} \)

6 / 10
If \( \alpha ,\beta \) are the roots of \( { 3x }^{ 2 } + 5x - 2 = 0,\) then \("\alpha +\beta "\) is:
\( \frac{ - 5}{3} \)
\( \frac{3}{5} \)
\( \frac{5}{3} \)
\( \frac{ - 2}{3} \)

7 / 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

8 / 10
If \( \alpha , \beta \) are the roots of \( { 4x }^{ 2 } + 3px + { p }^{ 2 } = 0,\) then \( \alpha + \beta \) is:
\( \frac{ - 3p}{4} \)
\( \frac{{p}^{2}}{4} \)
\( \frac{3p}{4} \)
\( \frac{ - {p}^{2}}{4} \)

9 / 10
The product of cube roots of unity is:
3
-1
1
0

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

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Practice MCQs Test No 2

/11
103

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

1 / 11
Each complex cube root of unity is _________ of each other.
Reciprocal
Square
Converse
Image

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

3 / 11
\( \frac { 1 }{ \alpha } +\frac { 1 }{ \beta } \) is equal to:
\( \frac{1}{\alpha} - \frac{1}{\beta} \)
\( \frac{\alpha - \beta}{\alpha\beta} \)
\( \frac{\alpha + \beta}{\alpha\beta} \)
\( \frac{1}{\alpha} \)

4 / 11
Two square roots of unity are:

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

5 / 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]

6 / 11
The nature of roots of equation \({ ax }^{ 2 } + bx + c = 0,\) is determined by:
Sum of roots
Synthetic division
Product of roots
Discriminant

7 / 11
Roots of the equation \({ 4x }^{ 2 } - 5x + 2 = 0,\) are
Rational
None of these
Imaginary
Irrational

8 / 11
The discriminant of \( { ax }^{ 2 } + bx + c = 0 \), is:
\( {-b}^{2} + 4ac \)
\( {b}^{2} + 4ac \)
\( {b}^{2 } - 4ac \)
\( {-b}^{2} - 4ac \)

9 / 11
If \( \alpha ,\beta \) are the roots of \( { x }^{ 2 } - 5x + p = 0, \) then \( \alpha \beta \) is:
5
-p
-5
p

10 / 11
If \(\){ b }^{ 2 } - 4ac < 0, [/latex] then the roots are:
Irrational and unequal
Imaginary
Rational and unequal
Rational and equal

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

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Unit 3
Variations

Practice MCQs Test No 1

/10
119

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10
If \( \frac { u }{ v } = \frac { v }{ w } = k \) , then:
\( u = w{k}^{2} \)
\( u = {v}^{2}k \)
\( u = {w}^{2}k \)
\( u = v{k}^{2} \)

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

3 / 10
In continued proportion a : b ∷ b : c , “c” is said to be ____ proportional to “a” and “b”.
Third
Antecedent
Means
Fourth

4 / 10
In a continued proportion a ∶ b ∷ b ∶ c or ac = b², b is said to be _ proportional
Means
Third
Fourth
Both third and fourth

5 / 10
The mean proportional of 2 and 128 is:
[katex] \pm2 [/katex]
[katex] \pm8 [/katex]
[katex] \pm9 [/katex]
[katex] \pm16 [/katex]

6 / 10
If \( \frac { a }{ b } = \frac { c }{ d } \) then Componendo property is:
\( \frac{a}{a - b} = \frac{c}{c - d} \)
\( \frac{ad}{bc} \)
\( \frac{a - b}{b} = \frac{c - d}{d} \)
\( \frac{a}{a + b} = \frac{c}{c + d} \)

7 / 10
The value of x in proportion 4 ∶ x ∷ 5 ∶ 15 is:
[katex] \frac {75}{4} [/katex]
[katex] \frac {4}{3} [/katex]
[katex] \frac{3}{4} [/katex]
12

8 / 10
If a ∶ b = c ∶ d then a ∶ a - b = c ∶ c - d is called theorem of:
Invertendo
Alternando
Componendo
Dividendo

9 / 10
The fourth proportional w of x ∶ y ∷ v ∶ w is:
[katex] \frac{vy}{x} [/katex]
[katex] \frac{x}{vy} [/katex]
xvy
[katex] \frac{xy}{v} [/katex]

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

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Practice MCQs Test No 2

/8
70

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

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

2 / 8
In a ratio a : b, ‘a’ is called:
None of these
Relation
Antecedent
Consequent

3 / 8
The third proportional of \( { x }^{ 2 } \quad and \quad { y }^{ 2 } \) is:
\( {x}^{2}{y}^{2} \)
\( \frac{{y}^{2}}{{x}^{2}} \)
\( \frac{{y}^{2}}{{x}^{4}} \)
\( \frac{{y}^{4}}{{x}^{2}} \)

4 / 8
If \( { y }^{ 2 } \alpha \frac { 1 }{ { x }^{ 3 } } \) then:
\( {y}^{2} = \frac{1}{{x}^{3}} \)
\( {y}^{2} = k{x}^{3} \)
\( {y}^{2} = \frac{k}{{x}^{3}} \)
\( {y}^{2} = {x}^{2} \)

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

6 / 8
In a proportion a ∶ b ∷ c ∶ d ‘b’ and ‘c’ are called:
Fourth proportional
None of these
Means
Extremes

7 / 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]

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
84

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

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

3 / 9
A fraction in which the degree of the numerator is equal to or greater than the degree of denominator is called:
Improper fraction
Proper fraction
Irrational fraction
Rational fraction

4 / 9
\( \frac { { x }^{ 5 } }{ { ({ x }^{ 2 } + 1) }^{ 2 } } \) is:
A constant term
An identity
A proper fraction
An improper fraction

5 / 9
A fraction in which the degree of the numerator is less than the degree of denominator is called:
An equation
An identity
A proper fraction
An improper fraction

6 / 9
\( \frac { 2x + 1 } { { (x } + 1)(x - 1) } \) is:
A proper fraction
An equation
None of these
An improper fraction

7 / 9
Partial fraction of \( \frac { x - 2 }{ { (x } - 1)(x + 2) } \) are of the form:
\( \frac{Ax}{{x} - 1}+ \frac{B}{{x} + 2} \)
\( \frac{Ax + B}{{x }- 1}+ \frac{C}{{x} + 2} \)
\( \frac{A}{{x} - 1}+frac{B}{{x} + 2} \)
\( \frac{A}{{x} - 1}+ \frac{Bx+C}{{x} + 2} \)

8 / 9
Partial fraction of \( \frac { { x }^{ 2 } + 1 }{ (x + 1)(x - 1) } \) are of the form:
\( \frac{A}{x + 1}+ \frac{B}{x - 1}\)
\( \frac{Ax + B}{x + 1}+ \frac{C}{x - 1}\)
\( 1+ \frac{A}{x + 1}+ \frac{B}{x - 1}\)
\( 1+ \frac{A}{x + 1} + \frac{Bx + C}{x - 1}\)

9 / 9
\( \frac { { x }^{ 3 } + 1 }{ { (x } - 1)(x + 2) } \) 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
79

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10
X-Y=?
(Y - X)'
Y-X
X ∩ Y'
Y ∩X'

2 / 10
If A ⊆ B , then A ∩ B is equal to
U
Φ
A
B

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

4 / 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}

5 / 10
If A and B are two disjoint sets, then A∪B is equal to:
B
BUA
Φ
A

6 / 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}

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

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

9 / 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.
Injective
Surjective
Bijective
Into

10 / 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}^{2}[/katex]
[katex]{2}^{8}[/katex]
[katex]{2}^{6}[/katex]

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Practice MCQs Test No 2

/8
64

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

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

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:
6
64
8
4

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

5 / 8
A function f : A\( \rightarrow \)B is called Bijective function if function f is:
onto and one-one function
one-one function
into function
onto function

6 / 8
Power set of an empty set:
Has one element
Does not exist
Is empty
Has two elements

7 / 8
If A=N, B=Z then A ∩ B =
R
W
N
Z

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

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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