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 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
456

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 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

2 / 10
The solution set of 5x²=15x is:
{0,3}
{3,-3}
{0}
{0,-3}

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

4 / 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)

5 / 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

6 / 10
An equation of the form 2x⁴-3x³+7x²-3x+2=0 are:
None of these
Exponential equation
Radical equation
Reciprocal equation

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

8 / 10
The number of methods to solve a quadratic equation is:
4
3
2
1

9 / 10
The solution set of 4x²-16=0 is:
{±8}
{±1}
{±4}
{±2}

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

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10
217

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

3 / 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
-4
-2

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

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

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

7 / 10
The product of cube roots of unity is:
3
1
-1
0

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

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

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Practice MCQs Test No 2

/11
158

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

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

2 / 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]

3 / 11
If \( \alpha ,\beta \) are the roots of \( { x }^{ 2 } - 5x + p = 0, \) then \( \alpha \beta \) is:
5
-5
p
-p

4 / 11
The nature of roots of equation \({ ax }^{ 2 } + bx + c = 0,\) is determined by:
Synthetic division
Discriminant
Sum of roots
Product of roots

5 / 11
Two square roots of unity are:

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

6 / 11
Roots of the equation \({ 4x }^{ 2 } - 5x + 2 = 0,\) are
Irrational
None of these
Rational
Imaginary

7 / 11
If b² - 4ac > 0, but not a perfect square then roots of \({ ax }^{ 2 } + bx + c = 0\) are:
Irrational
Imaginary
None of these
Rational

8 / 11
If \(\){ b }^{ 2 } - 4ac < 0, [/latex] then the roots are:
Rational and equal
Irrational and unequal
Rational and unequal
Imaginary

9 / 11
\( \frac { 1 }{ \alpha } +\frac { 1 }{ \beta } \) is equal to:
\( \frac{\alpha - \beta}{\alpha\beta} \)
\( \frac{\alpha + \beta}{\alpha\beta} \)
\( \frac{1}{\alpha} \)
\( \frac{1}{\alpha} - \frac{1}{\beta} \)

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

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Unit 3
Variations

Practice MCQs Test No 1

/10
160

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

1 / 10
The value of x in proportion 4 ∶ x ∷ 5 ∶ 15 is:
[katex] \frac{3}{4} [/katex]
12
[katex] \frac {75}{4} [/katex]
[katex] \frac {4}{3} [/katex]

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

3 / 10
If \( \frac { a }{ b } = \frac { c }{ d } \) then Componendo property is:
\( \frac{a - b}{b} = \frac{c - d}{d} \)
\( \frac{a}{a + b} = \frac{c}{c + d} \)
\( \frac{ad}{bc} \)
\( \frac{a}{a - b} = \frac{c}{c - d} \)

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

5 / 10
If \( \frac { u }{ v } = \frac { v }{ w } = k \) , then:
\( u = w{k}^{2} \)
\( u = {w}^{2}k \)
\( u = {v}^{2}k \)
\( u = v{k}^{2} \)

6 / 10
The simplest form of 450cm, 3m is:
1 ∶ 150
150 ∶ 1
2 : 3
3 ∶ 2

7 / 10
In continued proportion a : b ∷ b : c , “c” is said to be proportional to “a” and “b”.
Antecedent
Means
Third
Fourth

8 / 10
The fourth proportional w of x ∶ y ∷ v ∶ w is:
[katex] \frac{x}{vy} [/katex]
[katex] \frac{vy}{x} [/katex]
[katex] \frac{xy}{v} [/katex]
xvy

9 / 10
In ratio a ∶ b, the b is called __. (‘b’ is the second term)
Mean
Antecedent
Extreme
Consequent

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

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Practice MCQs Test No 2

/8
109

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

1 / 8
If a ∶ b = x ∶ y , then alternando property is:
[katex] \frac{a + b}{b} = \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}{x} = \frac{x - y}{y} [/katex]

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

3 / 8
If a ∶ b = x ∶ y , then Invertendo property is:
[katex] \frac{b}{a} = \frac{y}{x} [/katex]
[katex] \frac{a}{x} = \frac{b}{y} [/katex]
[katex] \frac{a + b}{b} = \frac{x + y}{y} [/katex]
[katex] \frac{a}{a - b} = \frac{x}{x - y} [/katex]

4 / 8
In a proportion a ∶ b ∷ c ∶ d ‘a’ and ‘d’ are called:
Extremes
None of these
Third proportional
Means

5 / 8
If \( { y }^{ 2 } \alpha \frac { 1 }{ { x }^{ 3 } } \) then:
\( {y}^{2} = \frac{k}{{x}^{3}} \)
\( {y}^{2} = \frac{1}{{x}^{3}} \)
\( {y}^{2} = {x}^{2} \)
\( {y}^{2} = k{x}^{3} \)

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

7 / 8
If \( u \alpha { v }^{ 2 }\) , then:
\( u{ v}^{2} = 1 \)
\( u = k {v}^{2} \)
\( u = {v}^{2}\)
\( u {v}^{2} = k \)

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

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9
111

Class 10 Mathematics
Chapter 4
Practice MCQs Test No 1

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

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

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
Irrational fraction
Rational fraction
Proper fraction

4 / 9
\( \frac { 2x + 1 } { { (x } + 1)(x - 1) } \) is:
None of these
An improper fraction
A proper fraction
An equation

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

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

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

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

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10
97

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

1 / 10
If A ⊆ B, then A ∪ B is equal to
U
Φ
B
A

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

3 / 10
If A and B are two disjoint sets, then A∪B is equal to:
A
B
Φ
BUA

4 / 10
If A ⊆ B , then A - B is equal to
B-A
Φ
A
B

5 / 10
The range of the relation R={(1,3),(2,2),(3,1),(4,4)} is:
{1,2,3,4}
{1,3,4}
{3,2,4}
{1,2,3}

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}^{3}[/katex]
[katex]{2}^{8}[/katex]
[katex]{2}^{2}[/katex]
[katex]{2}^{6}[/katex]

7 / 10
The domain of R={(0,2),(2,3),(3,3),(3,4)} is:
{0,2,4}
{0,2,3}
{2,3,4}
{0,3,4}

8 / 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
Injective
Surjective
Into

9 / 10
X-Y=?
X ∩ Y'
Y-X
(Y - X)'
Y ∩X'

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

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Practice MCQs Test No 2

/8
86

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

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

2 / 8
Point (-1,4) lies in the quadrant:
III
IV
I
II

3 / 8
Power set of an empty set:
Has one element
Has two elements
Does not exist
Is empty

4 / 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

5 / 8
The relation {(1,2),(2,3),(3,3),(3,4)} is:
one-one function
into function
not a function
onto function

6 / 8
Point (-2,-3) lies in the quadrant:
I
III
II
IV

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

8 / 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

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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