HBSE Class 9 Math MCQ Important Question Answer 2024 PDF

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HBSE ( Haryana Board ) Solution of Class 9 Math MCQ important Question And Answer solution of all chapters.

HBSE Class 9 Math Important MCQ Question Answer 2024


HBSE Class 9 Math Chapter 1 Number Systems MCQ Important Question Answer 2024


1. Which of the following numbers is an irrational number ?
(A)  \displaystyle \sqrt{{16}}
(B)  \displaystyle \sqrt{{36}}
(C)  \displaystyle \sqrt{{48}}
(D)  \displaystyle \sqrt{{64}}

Answer

Ans – (C)  \displaystyle \sqrt{{48}}


2. The value of (36)1/2 will be:
(A) 6
(B) 12
(C) 18
(D) 9

Answer

Ans – (A) 6


3. Which of the following statement is true?
(A) Every irrational number is a real number.
(B) Every real number is an irrational number.
(C) is a rational number
(D)  \displaystyle \sqrt{{25}} is an irrational number.

Answer

Ans – (A) Every irrational number is a real number.


4. Which of the following is an irrational number?
(A) 5.764
(B) 5.676776777….
(C)  \displaystyle \sqrt{{36}}
(D) 5.764764…

Answer

Ans – (B) 5.676776777….


5. Every integer is a rational number:
(A) True
(B) False
(C) Not Always, Some Times
(D) None of these

Answer

Ans – (A) True


6. By which English alphabet the collection of rational numbers is denoted ?
(A) N
(B) W
(C) Q
(D) Z

Answer

Ans – (C) Q


7. The rational number between 1 and 2 will be:
(A) 0.5

(B)  \displaystyle \frac{1}{6}

(C)  \displaystyle \frac{1}{7}

(D)  \displaystyle \frac{3}{2}

Answer

Ans – (D)  \displaystyle \frac{3}{2}


8. How many rational numbers between any two given rational there ?
(A) 2
(B) 1
(C) Infinitely many
(D) 0

Answer

Ans – (C) Infinitely many


9. Which of the following numbers is an irrational number?
(A) 1.101001000…….
(B) 0.376
(C) 0.7474
(D)  \displaystyle \sqrt{{225}}

Answer

Ans – (A) 1.101001000…….


10. Which of the following is not a rational number?
(A)  \displaystyle \sqrt{2}
(B) 0
(C)  \displaystyle \sqrt{4}
(D)  \displaystyle \sqrt{{-16}}

Answer

Ans – (A)  \displaystyle \sqrt{2}


11. Which of the following is not a rational number?
(A)   \displaystyle \sqrt{2}
(B) 0
(C)  \displaystyle \sqrt{4}
(D)  \displaystyle \sqrt{{-16}}

Answer

Ans – (A)   \displaystyle \sqrt{2}


12. Value of 163/4
(A) 4
(B) 12
(C) 8
(D) 48

Answer

Ans – (C) 8


13. Express  \displaystyle 0.\overline{{001}} in  \displaystyle \frac{p}{q} form:

(A)  \displaystyle \frac{1}{{999}}

(B)  \displaystyle \frac{1}{{9}}

(C)  \displaystyle \frac{1}{{99}}

(D)  \displaystyle \frac{1}{{9999}}

Answer

Ans – (A)  \displaystyle \frac{1}{{999}}


14. Which of the following number is not in between  \displaystyle \frac{4}{5} and  \displaystyle \frac{9}{5} ?

(A)  \displaystyle \frac{3}{5}

(B)    \displaystyle \frac{5}{5}

(C)  \displaystyle \frac{6}{5}

(D)    \displaystyle \frac{8}{5}

Answer

Ans – (A)  \displaystyle \frac{3}{5}


HBSE Class 9 Math Chapter 2 Polynomials MCQ Important Question Answer 2024


1. Which of the following algebraic expressions is a polynomial?
(A) x2 + 5x + 6
(B)  \displaystyle y+\frac{1}{{2y}}
(C)  \displaystyle 5\sqrt{t}+3
(D)  \displaystyle \frac{1}{{5x+3}}

Answer

Ans – (A) x2 + 5x + 6


2. The zero of polynomial p(x) = 2x + 5 will be:
(A)  \displaystyle \frac{5}{2}
(B)  \displaystyle -\frac{5}{2}
(C)  \displaystyle \frac{2}{5}
(D)  \displaystyle -\frac{2}{5}

Answer

Ans – (B)  \displaystyle -\frac{5}{2}


3. Which of the following algebraic expressions is a polynomial ?
(A) y5/3+6
(B)  \displaystyle \sqrt{y}+5
(C)  \displaystyle y+\frac{2}{y}
(D) X3 + 5

Answer

Ans – (D) X3 + 5


4. The coefficient of x3 in polynomial 2 – x3 + x5+9x7 will be:
(A) 2
(B) -1
(C) 1
(D) 9

Answer

Ans – (B) -1


5. Which of the following algebraic expressions is a polynomial?
(A) x1/4 + 6
(B)  \displaystyle 3{{x}^{2}}+\frac{5}{2}x
(C)  \displaystyle x+\frac{1}{x}
(D) x3/2 + 2x + 6

Answer

Ans – (B)  \displaystyle 3{{x}^{2}}+\frac{5}{2}x


6. Which expression is a polynomial from the following algebraic expressions?
(A)  \displaystyle x+\frac{1}{x}
(B)  \displaystyle \sqrt{x}+3
(C)  \displaystyle x+\sqrt{3}
(D) x1/3 + 6

Answer

Ans – (C)  \displaystyle x+\sqrt{3}


7. The degree of polynomial 2 – y2 – y3 + 2y8 will be:
(A) 8
(B) 3
(C) 2
(D) 4

Answer

Ans – (A) 8


8. The coefficient of x2 in the polynomial 2 – x2 + x3
(A) 1
(B) -1
(C) 2
(D) 3

Answer

Ans – (B) -1


9. How many terms are there in polynomial 5y6 – 4y2 – 6y + 6 ?
(A) 6
(B) 5
(C) 4
(D) 2

Answer

Ans – (C) 4


10. The zero of polynomial p(x) = 2x + 1 will be:
(A)  \displaystyle -\frac{1}{2}
(B)  \displaystyle \frac{1}{2}
(C) 2
(D) 1

Answer

Ans – (A)  \displaystyle -\frac{1}{2}


11. Which of the type is polynomial t2 – 4 ?
(A) Binomial
(B) Monomial
(C) Trinomial
(D) None of these

Answer

Ans – (A) Binomial


12. The degree of 5x3 + 4x2 + 7x is :
(A) 1
(B) 2
(C) 3
(D) 4

Answer

Ans – (C) 3


13. The value of (99)3 is:
(A) 970289
(B) 970299
(C) 970389
(D) 970489

Answer

Ans -(B) 970299


14. The factor of 2x2 + 7x + 3 is:
(A) (2x + 1)(x + 3)
(B) (2x + 3)(3x – 2)
(C) (2x – 1)(x + 4)
(D) (2x + 1)(2x – 1)

Answer

Ans – (A) (2x + 1)(x + 3)


15. Fill in the blank from the following: (am)n = _________.
(A) am+n
(B) am-n
(C) amn
(D) (mn)

Answer

Ans – (C) amn


16. Fill in the blank: (x + y)2 = x2 + _________ + y²
(A) 3xy
(B) 2x
(C) 2xy
(D) 2y

Answer

Ans – (C) 2xy


17. Factors of 4y2 – 4y+1 is :
(A) (2y + 1)2
(B) (4y – 1)2
(C) (2y – 1)2
(D) (2y-2)

Answer

Ans – (C) (2y – 1)2


18. Factors of 27 – 125a3 – 135a + 225a2 is:
(A) (3 + 5a)2
(B) (3a + 5)3
(C) (3a – 5)2
(D) (3 – 5a)

Answer

Ans – (D) (3 – 5a)


19. The value of k is, if x – 1 is a factor of p(x) = kx2 \displaystyle \sqrt{2}x + 1 ?
(A)  \displaystyle \sqrt{2}+1
(B)  \displaystyle -1+\sqrt{2}
(C)  \displaystyle \sqrt{2}-1
(D)  \displaystyle -\sqrt{2}-1

Answer

Ans – (C)  \displaystyle \sqrt{2}-1


HBSE Class 9 Math Chapter 3 Coordinate Geometry MCQ Important Question Answer 2024


1. In which quadrant the point (6, -7) lies?
(A) First
(B) Second
(C) Third
(D) Fourth

Answer

Ans – (D) Fourth


2. In which quadrant point (-1, -3) lies:
(A) I quadrant
(B) II quadrant
(C) III quadrant
(D) IV quadrant

Answer

Ans – (C) III quadrant


3. Graph of x = 2 is a line :
(A) Parallel to x-axis
(B) Parallel to y-axis
(C) Passes through origin
(D) None

Answer

Ans – (B) Parallel to y-axis


4. Point (-1, 4) lies on which quadrant ?
(A) I
(B) IV
(C) II
(D) III

Answer

Ans – (C) II


5. Point (0, -3) lies on:
(A) x-axis
(B) y-axis
(C) 1st quadrant
(D) 2nd quadrant

Answer

Ans – (B) y-axis


6. What is abscissa and ordinate of point (-4, -3)?
(A) x = – 4, y = – 3
(B) x = – 2, y = – 4
(C) x = 4, y = 3
(D) None

Answer

Ans – (A) x = – 4, y = – 3


HBSE Class 9 Math Chapter 4 Linear Equations in Two Variables MCQ Important Question Answer 2024


1. The value of K will be, if x = 2, y = 1 is a solution of the equation 2x + 3y = K :
(A) 2
(B) 4
(C) 9
(D) 7

Answer

Ans – (D) 7


2. Express the linear equation –2x + 3y = 6 in the form of ax + by + c = 0 and indicate the value of C:
(A) -2
(B) -6
(C) 3
(D) 6

Answer

Ans – (B) -6


3. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(A)  \displaystyle \frac{x}{y}+2=0
(B) x + 2y = 0
(C) 2x + y = 0
(D) x – 2y = 0

Answer

Ans – (D) x – 2y = 0


4. The solution of the equation x – 2y = 4 from the following will be:
(A) (0, 2)
(B) (0, 4)
(C) (4, 0)
(D) (2, 0)

Answer

Ans – (C) (4, 0)


5. How many solutions a linear equation in two variables can have at most?
(A) One
(B) Two
(C) Three
(D) Infinitely many

Answer

Ans – (D) Infinitely many


6. Compare of 6x+7 with the equation ax + by + c = 0 , the value of a is :
(A) 0
(B) 6
(C) 1
(D) 7

Answer

Ans – (B) 6


7. The solution of equation x – 2y = 4 is:
(A) (0, 2)
(B) (4, 0)
(C) (1, 1)
(D) 12, 0)

Answer

Ans – (B) (4, 0)


8. Point (4, 1) satisfies to which equation of line?
(A) x + 2y = 5
(B) x + 2y = – 6
(C) x + 2y = 6
(D) x + 2y= 16

Answer

Ans – (C) x + 2y = 6


9. Write equation 4 = 5x – 3y in the form of ax + by + c = 0 and indicate the value of c:
(A) 5
(B) -3
(C) 0
(D) -4

Answer

Ans – (D) -4


10. If the point (2, 1) lies on the graph of the equation 2x + 3y = k, then value of k will be:
(A) 8
(B) 6
(C) 7
(D) – 7

Answer

Ans – (C) 7


HBSE Class 9 Math Chapter 5 Introduction to Euclid’s Geometry MCQ Important Question Answer 2024


NO MCQ’s From this Chapter


HBSE Class 9 Math Chapter 6 Lines and Angles MCQ Important Question Answer 2024


1. How many lines can pass through two distinct given points?
(A) A unique
(B) Two
(C) Infinite
(D) No line

Answer

Ans – (A) A unique


2. The sum of two angles is 180°. Then these are called as:
(A) Acute angle
(B) Complementary angles
(C) Supplementary angles
(D) Reflex angles

Answer

Ans – (C) Supplementary angles


3. Which of the following statement is false?
(A) Two distinct lines cannot have more than one point in common.
(B) A terminated line can be produced indefinitely on both sides.
(C) Only one line can pass through a single point.
(D) If two circles are equal then their radii are equal.

Answer

Ans – (C) Only one line can pass through a single point.


4. If  a || b, b || c then which one is true ?
(A) a ⊥ c
(B) a ⊥ b
(C) a || c
(D) b ⊥ c

Answer

Ans – (C) a || c


5. A, B, C are three points lies on a line, B lies between A and C, then which one is true?
(A) AB + BC = AC
(B) AB – BC = AC
(C) AB+ AC = BC
(D) AB+ BC = AB

Answer

Ans – (A) AB + BC = AC


6. A part of a line with two end points is called as:
(A) Line
(B) Ray
(C) Line Segment
(D) Vertex

Answer

Ans – (C) Line Segment


7. If two lines _________ each other, then the vertically opposite angles are equal.
(A) Intersecting
(B) Parallel
(C) Perpendicular
(D) None of these

Answer

Ans – (A) Intersecting


8. The measure of an acute angle is :
(A) Between 0° and 90°
(B) Between 90° and 180°
(C) Between 180° and 270°
(D) Above 270°

Answer

Ans – (A) Between 0° and 90°


9. If a ray stands on a line, then the sum of two adjacent angles so formed will be:
(A) 360°
(B) 180°
(C) 120°
(D) 90°

Answer

Ans – (B) 180°


10. In fig. the value of x will be:

(A) 50°
(C) 130°
(B) 100°
(D) 60°

Answer

Ans – (C) 130°


11. In the figure, the value of x be:

(A) 9°
(B) 18°
(C) 27°
(D) 36°

Answer

Ans – (A) 9°


 

HBSE Class 9 Math Chapter 7 Triangles MCQ Important Question Answer 2024


1. “Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.” Which rule of congruence it is ?
(A) AAS
(B) ASA
(C) SAS
(D) SSS

Answer

Ans – (C) SAS


2. The altitude and base of a triangle are 8 cm and 3 cm respectively. Then its area will be :
(A) 24 cm
(B) 12 cm
(C) 12 cm2
(D) 24 cm2

Answer

Ans – (C) 12 cm2


3. Two sides of a triangle are 60 cm and 100 cm. If its perimeter is 300 cm. Then the third side will be:
(A) 60 cm
(B) 100 cm
(C) 140 cm
(D) 40 cm

Answer

Ans – (C) 140 cm


4. “Two right angled triangles are congruent, if the hypotenuse and a side of one triangle is respectively equal to the hypotenuse and a side of the other triangle”. Which of the following condition for congruency triangles follows here?
(A) SAS
(B) RHS
(C) ASA
(D) AAS

Answer

Ans – (B) RHS


5. If the height of a triangle is 10 cm and base is 5 cm, then its area is :
(A) 50 cm2
(B) 25 cm2
(C) 15 cm2
(D) 20 cm

Answer

Ans – (B) 25 cm2


6. Each angle is not right angle:
(A) Rectangle
(B) Square
(C) Triangle
(D) Cube

Answer

Ans – (C) Triangle


7. Sum of any two sides of a triangle is ______ than the third side.

(A) Smaller
(B) Greater
(C) Equal
(D) None of these

Answer

Ans – (B) Greater


8. The sum of angles of a triangle is:
(A) 120°
(B) 180°
(C) 270°
(D) 360°

Answer

Ans – (B) 180°


9. The area of right triangle is :
(A)  \displaystyle \frac{1}{2} x Base x Height
(B) 2x Base x Height
(c)  \displaystyle \frac{1}{3} x Base x Height
(D) 3 x Base x Height

Answer

Ans – (A)  \displaystyle \frac{1}{2} x Base x Height


10. If a, b and c are sides of a triangle. The semi-perimeter of triangle will be:

(A)  \displaystyle S=\frac{{a+b-c}}{2}

(B)  \displaystyle S=\frac{{a-b-c}}{2}

(C)  \displaystyle S=\frac{{a+b+c}}{2}

(D)  \displaystyle S=\frac{{a+b+c}}{3}

Answer

Ans – (C)  \displaystyle S=\frac{{a+b+c}}{2} 


11. If point M, is the mid point of hypotenuse AC of right angled ΔABC, then BM =  \displaystyle \frac{1}{2} :
(A) AC
(B) AB
(C) BC
(D) None of these

Answer

Ans – (A) AC


12. In a pair of set square angle of one triangle are :
(A) 30°, 40°, 100°
(B) 60°, 30°, 90°
(C) 30°, 30°, 45°
(D) None of these

Answer

Ans – (B) 60°, 30°, 90°


13. Two sides of a triangle are 8 cm and 11 cm having perimeter 32 cm, then its semi perimeter is:
(A) 4 cm
(B) 13 cm
(C) 14 cm
(D) 16 cm

Answer

Ans – (D) 16 cm


14. The sides of a triangular plot are in the ratio of 3 :  5 : 7 and its perimeter is 300 m that area of plot are :
(A) 1500 \displaystyle \sqrt{3}  m2
(B) 1200 \displaystyle \sqrt{3} m2
(C) 1800 \displaystyle \sqrt{3} m2
(D) 1600 \displaystyle \sqrt{3} m

Answer

Ans – (A) 1500 \displaystyle \sqrt{3}  m2


15. Perimeter of an isosceles triangle is 30 cm and its equal sides are of 12 cm, then area of the triangle is :
(A)  \displaystyle 8\sqrt{{15}} cm2
(B)  \displaystyle 7\sqrt{{12}} cm2
(C)  \displaystyle 9\sqrt{{15}} cm2
(D)  \displaystyle 15\sqrt{{15}} cm

Answer

Ans – (C)  \displaystyle 9\sqrt{{15}} cm2


16. In fig., if QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. The value of y will be:

(A) 80°
(B) 70°
(C) 30°
(D) 40°

Answer

Ans – (A) 80°


HBSE Class 9 Math Chapter 8 Quadrilaterals MCQ Important Question Answer 2024


1. On joining the points (0, 0), (0, 2), (2, 2) and (2, 0) we obtain a :
(A) Square
(B) Rectangle
(C) Rhombus
(D) Parallelogram

Answer

Ans – (A) Square


2. If diagonals of quadrilateral bisect each other at right angles, then it is a :
(A) Parallelogram
(B) Square
(C) Rhombus
(D) Trapezium

Answer

Ans – (C) Rhombus


3. The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The respective angles of the quadrilateral are:
(A) 60°, 80°, 100°, 120°
(B) 120°, 100°, 80°, 60°
(C) 120°, 60°, 80°, 100°
(D) 80°, 100°, 120°, 60°

Answer

Ans – (A) 60°, 80°, 100°, 120°


HBSE Class 9 Math Chapter 9 Circles MCQ Important Question Answer 2024


1. Angle in a semicircle is :
(A) Complementary
(B) Obtuse
(C) Right
(D) Acute

Answer

Ans – (C) Right


2. The length of the complete circle is called as :
(A) Diameter
(B) Circumference
(C) Radius
(D) Arc

Answer

Ans – (B) Circumference


3. One and only one circle can pass through from how much non-collincar points?
(A) Three
(B) Four
(C) Five
(D) Six

Answer

Ans – (A) Three


4. The centre of a circle lies in ________ of the circle :
(A) exterior
(B) circumference
(C) interior
(D) perimeter

Answer

Ans – (C) interior


5. In fig, the shaded part of the circle is known as:

(A) Major sector
(B) Major segment
(C) Minor sector
(D) Minor segment

Answer

Ans – (D) Minor segment


HBSE Class 9 Math Chapter 10 Heron’s Formula MCQ Important Question Answer 2024


No MCQ From this Chapter 


HBSE Class 9 Math Chapter 11 Surface Areas and Volumes MCQ Important Question Answer 2024


1. What is the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm ?
(A) 220 cm2
(B) 110 cm3
(C) 132 cm3
(D) 232 cm

Answer

Ans – (A) 220 cm2


2. The volume of a right circular cone whose radius 7 cm and height 3 cm will be:
(A) 154 cm3
(B) 154 cm2
(C) 282 cm2
(D) 284 cm

Answer

Ans – (A) 154 cm3


3. The base radius of a cone is 11.3 cm and curved surface is 355 cm2. Its height is ________.  ( Take  \displaystyle \pi =\frac{{355}}{{113}} )
(A) 11 cm
(B) 9 cm
(C) 5 cm
(D) 10 cm

Answer

Ans – wrong Options


4. The surface area of a sphere with diameter 14 cm will be:
(A) 28 cm
(B) 28 cm2
(C) 42 cm2
(D) 616 cm

Answer

Ans – (D) 616 cm


5. The volume of a sphere with radius r will be:
(A) 4πr
(B) 4πr2

(C)  \displaystyle \frac{4}{3}\pi {{r}^{2}}

(D)  \displaystyle \frac{4}{3}\pi {{r}^{3}}

Answer

Ans – (D)  \displaystyle \frac{4}{3}\pi {{r}^{3}}


6. The volume of a sphere is 524 cm3. The diameter of sphere is :
(A) 4 cm
(B) 5 cm
(C) 3 cm
(D) 6 cm

Answer

Ans – wrong options


7. The curved surface area of a hemisphere whose radius is r, will be:
(A) 4πr2
(B) 3πr2
(C) 2πr2
(D)  \displaystyle \frac{4}{3}

Answer

Ans – (C) 2πr2


HBSE Class 9 Math Chapter 12 Statistics MCQ Important Question Answer 2024


1. The mean of 10, 7, 13, 20, 15 will be:
(A) 12
(B) 13
(C) 10
(D) 15

Answer

Ans – (B) 13


2. The class mark of class interval 180-190 will be:
(A) 185
(B) 180
(C) 190
(D) 370

Answer

Ans – (A) 185


3. The mean of first five natural numbers is :
(A) 5
(B) 3
(C) 4
(D) 2

Answer

Ans – (B) 3


4. The difference of the highest and lowest values in the data is called as :
(A) Mean
(B) Median
(C) Range
(D) Mode

Answer

Ans – (C) Range


5. What is the upper class limit in class interval 20-30 ?
(A) 50
(B) 20
(C) 10
(D) 30

Answer

Ans – (D) 30


6. The range of data 40, 20, 36, 60, 56, 88, 50, 80 will be:
(A) 40
(B) 68
(C) 56
(D) 88

Answer

Ans – (B) 68


7. The class mark of a class interval is:

(A)  \displaystyle \frac{{Upper Limit}}{2}

(B)  \displaystyle \frac{{Lower Limit}}{2}

(C)  \displaystyle \frac{{Upper Limit+Lower Limit}}{2}

(D)  \displaystyle \frac{{Upper Limit-Lower Limit}}{2}

Answer

Ans – (D)  \displaystyle \frac{{Upper Limit-Lower Limit}}{2}


8. Class mark of class 150-160 is :
(A) 145
(B) 310
(C) 10
(D) 155

Answer

Ans – (D) 155


9. The heights of 9 students of a class are given (in cm) as follows:

155, 160, 145, 149, 150, 147, 152, 144, 148

The median of this data is :

(A) 150
(B) 147
(C) 149
(D) 148

Answer

Ans – (C) 149


10. The marks (out of 10) obtained by 20 students are as follows:

9, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

The modal marks are:

(A) 7
(B) 9
(C) 3
(D) 10

Answer

Ans – (B) 9


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