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 3 MCQs Grand Test

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 6 MCQs Grand Test

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 13 MCQs Grand Test

Unit 1
Quadratic Equations

Practice MCQs Test No 1

/10
193

Class 10 Mathematics
Chapter 1
Practice MCQs Test No 1

1 / 10
If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:
Pure
Reciprocal
Standard
Exponential

2 / 10

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

3 / 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)

4 / 10
An equation of the type
3^x+ 3^2-x+6 = 0 is a/an:
Reciprocal equation
Radical equation
None of these
Exponential equation

5 / 10

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

6 / 10
The number of methods to solve a quadratic equation is:
2
1
4
3

7 / 10
The number of terms in a standard quadratic equation ax²+bx+c=0 are:
1
2
4
3

8 / 10
Standard form of quadratic equation is:
ax²+bx+c=0 a≠0
ax²=0 , a≠0
ax²=bx , a≠0
bx+c=0 , b≠0

9 / 10
An equation, which remains unchanged when x is replaced by 1/x is called a/an:
None of these
Reciprocal equation
Radical equation
Exponential equation

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

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Unit 2
Theory of Quadratic Equations

Practice MCQs Test No 1

/10
99

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 1

1 / 10
If \( \alpha ,\beta \) are the roots of \( { 3x }^{ 2 } + 5x - 2 = 0,\) then \("\alpha +\beta "\) is:
\( \frac{5}{3} \)
\( \frac{ - 2}{3} \)
\( \frac{3}{5} \)
\( \frac{ - 5}{3} \)

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

4 / 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

5 / 10
Sum of the cube roots of unity is:
1
3
0
-1

6 / 10
If \( \alpha , \beta \) are the roots of \( { 4x }^{ 2 } + 3px + { p }^{ 2 } = 0,\) then \( \alpha + \beta \) is:
\( \frac{ - 3p}{4} \)
\( \frac{ - {p}^{2}}{4} \)
\( \frac{3p}{4} \)
\( \frac{{p}^{2}}{4} \)

7 / 10
Roots of the equation \( { 4x }^{ 2 } - 4x + 1 = 0 \) are:
Real,unequal
Imaginary
Irrational
Real,equal

8 / 10
If \( \alpha ,\beta \) are the roots of \({ 7x }^{ 2 } - x + 4 = 0, \) then \("\alpha \beta "\) is:
\( - \frac{4}{7} \)
\( \frac{7}{4} \)
\( \frac{4}{7} \)
\(- \frac{1}{7} \)

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

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

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Practice MCQs Test No 2

/11
66

Class 10 Mathematics
Chapter 2
Practice MCQs Test No 2

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

2 / 11
Two square roots of unity are:

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

3 / 11
If \(\){ b }^{ 2 } - 4ac < 0, [/latex] then the roots are:
Imaginary
Irrational and unequal
Rational and unequal
Rational and equal

4 / 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

5 / 11
\({ \alpha }^{ 2 } + { \beta }^{ 2 } \) is equal to
\( {(\alpha+\beta)}^{2} - 2\alpha\beta \)
\( \frac{1}{{\alpha}^{2}} + \frac{1}{{\beta}^{2}} \)
\({\alpha}^{2} - {\beta}^{2}\)
\( \alpha + \beta\)

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

7 / 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]

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

9 / 11
Roots of the equation \({ 4x }^{ 2 } - 5x + 2 = 0,\) are
Rational
None of these
Irrational
Imaginary

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
p
-5
-p

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Unit 3
Variations

Practice MCQs Test No 1

/10
72

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 1

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

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

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

6 / 10
The value of x in proportion 4 ∶ x ∷ 5 ∶ 15 is:
[katex] \frac {75}{4} [/katex]
12
[katex] \frac{3}{4} [/katex]
[katex] \frac {4}{3} [/katex]

7 / 10
In a continued proportion a ∶ b ∷ b ∶ c or ac = b², b is said to be _ proportional
Both third and fourth
Third
Fourth
Means

8 / 10
In ratio a ∶ b, the b is called . (‘b’ is the second term)
Antecedent
Mean
Consequent
Extreme

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

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

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Practice MCQs Test No 2

/8
52

Class 10 Mathematics
Chapter 3
Practice MCQs Test No 2

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

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

3 / 8
If \( u \alpha { v }^{ 2 }\) , then:
\( u = k {v}^{2} \)
\( u{ v}^{2} = 1 \)
\( u {v}^{2} = k \)
\( u = {v}^{2}\)

4 / 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]

5 / 8
In a ratio a : b, ‘a’ is called:
Consequent
Relation
Antecedent
None of these

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

7 / 8
The third proportional of \( { x }^{ 2 } \quad and \quad { y }^{ 2 } \) is:
\( \frac{{y}^{2}}{{x}^{4}} \)
\( \frac{{y}^{4}}{{x}^{2}} \)
\( \frac{{y}^{2}}{{x}^{2}} \)
\( {x}^{2}{y}^{2} \)

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

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Unit 4
Partial Fractions

Practice MCQs Test No 1

/9
58

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

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

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

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

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

6 / 9
A fraction in which the degree of the numerator is less than the degree of denominator is called:
An equation
An improper fraction
A proper fraction
An identity

7 / 9
\( \frac { { x }^{ 5 } }{ { ({ x }^{ 2 } + 1) }^{ 2 } } \) is:
An identity
A constant term
An improper fraction
A proper fraction

8 / 9
\( \frac { { x }^{ 3 } + 1 }{ { (x } - 1)(x + 2) } \) is:
An identity
A proper fraction
An improper fraction
A constant term

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
Proper fraction
Improper fraction
Rational fraction

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Unit 5
Sets and Functions

Practice MCQs Test No 1

/10
49

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 1

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

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

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

4 / 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.
Into
Bijective
Surjective
Injective

5 / 10
X-Y=?
Y-X
X ∩ Y'
Y ∩X'
(Y - X)'

6 / 10
If A and B are two disjoint sets, then A∪B is equal to:
A
B
BUA
Φ

7 / 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}^{2}[/katex]
[katex]{2}^{8}[/katex]
[katex]{2}^{6}[/katex]
[katex]{2}^{3}[/katex]

8 / 10
A ∩ A' =
A
[katex]{A}^{C}[/katex]
Φ
U

9 / 10
The domain of R={(0,2),(2,3),(3,3),(3,4)} is:
{0,3,4}
{2,3,4}
{0,2,4}
{0,2,3}

10 / 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}

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Practice MCQs Test No 2

/8
43

Class 10 Mathematics
Chapter 5
Practice MCQs Test No 2

1 / 8
Point (-2,-3) lies in the quadrant:
III
II
I
IV

2 / 8
If A=N, B=Z then A ∩ B =
N
W
R
Z

3 / 8
A function f : A\( \rightarrow \)B is called Bijective function if function f is:
onto and one-one function
one-one function
onto function
into function

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

5 / 8
Power set of an empty set:
Has one element
Is empty
Does not exist
Has two elements

6 / 8
Point (-1,4) lies in the quadrant:
II
IV
I
III

7 / 8
If A has 3 elements and B has 2 elements, then number of all binary relations of A×B are:
64
4
6
8

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

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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