100 One Word Practical Viva Questions of Class 9 Maths

100 One Word Practical Viva Questions of Class 9 Maths

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Chapter 1: Number Systems

1. What is the set of natural numbers?
   N

2. What is the set of whole numbers?
   W

3. What is the set of integers?
   Z

4. What is the set of real numbers?
   R

5. Which number is neither positive nor negative?
   0

6. What is the decimal expansion of 1/3?
   Non-terminating

7. What is the set of rational numbers?
   Q

8. π is rational or an irrational number?
   irrational number

9. What should be factors of denominator for terminating decimal expansion?
   only 2 or 5 or both

10. Which type of decimal expansion can be of Rational numbers?
    terminating or non terminating

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Chapter 2: Polynomials

1. What is the degree of the polynomial $x^2 + 3x + 2$?
   2

2. What is the highest power of involved variable of a polynomial called?
   Degree

3. What is a polynomial in one variable called?
   Univariate

4. What is the degree of $3x^3 - 5x^2 + x - 7$?
   3

5. What is the constant term in the polynomial $2x^2 + 3x + 5$?
   5

6. What is the number of terms in the polynomial $4x^2 + 7x - 1$?
   3

7. Which term is called the linear term in $5x^3 + 3x^2 - 2x + 8$?
   -2x

8. What is the factor of $x^2 - 9$?
   $(x-3)(x+3)$

9. What type of polynomial is $x^2 + 4x + 4$?
   Quadratic

10. What is the coefficient of $x^2$ in $3x^2 - 5x + 2$?
    3

11. Which type of polynomial has only one term?
    Monomial

12. Which type of polynomial has two terms?
    Binomial

13. Which type of polynomial has three terms?
    Trinomial

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Identities from Chapter 2: Polynomials

1. Identity for $(a + b)^2$:
   Expanded form: $a^2 + 2ab + b^2$

2. Identity for $(a - b)^2$:
   Expanded form: $a^2 - 2ab + b^2$

3. Identity for $(a + b)(a - b)$:
   Expanded form: $a^2 - b^2$

4. Identity for $(a + b)^3$:
   Expanded form: $a^3 + b^3 + 3ab(a + b)$

5. Identity for $(a - b)^3$:
   Expanded form: $a^3 - b^3 - 3ab(a - b)$

6. Factorization of $a^3 + b^3$:
   Expanded form: $(a + b)(a^2 - ab + b^2)$

7. Factorization of $a^3 - b^3$:
   Expanded form: $(a - b)(a^2 + ab + b^2)$

8. Identity for $(a + b + c)^2$:
   Expanded form: $a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$

9. Identity for $(x + a)(x + b)$:
   Expanded form: $x^2+(a+b)x+ab$

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Chapter 3: Coordinate Geometry

1. What is the horizontal axis in a coordinate plane called?
   X-axis

2. What is the vertical axis in a coordinate plane called?
   Y-axis

3. What is the point where the X-axis and Y-axis intersect?
   Origin

4. What is the first coordinate in an ordered pair $(x, y)$?
   X-coordinate

5. What is the second coordinate in an ordered pair $(x, y)$?
   Y-coordinate

6. What is the distance of the point $(3, 0)$ from the Y-axis?
   3 units

7. What is the distance of the point $(0, 4)$ from the X-axis?
   4 units

8. What is the distance of the point $(0, 0)$ from the origin?
   0 units

9. Which quadrant is the point $(4, 5)$ located in?
   First

10. Which quadrant is the point $(-2, 3)$ located in?
    Second

11. Which quadrant is the point $(-4, -3)$ located in?
    Third

12. Which quadrant is the point $(2, -5)$ located in?
    Fourth

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Chapter 4: Linear Equations in Two Variables

1. What is the general form of a linear equation in two variables?
   $Ax + By + C = 0$

2. What is the degree of a linear equation in two variables?
   1

3. What are the variables in the equation $2x + 3y = 6$?
   $x, y$

4. What is the solution of a linear equation?
   Ordered pair

5. What is the graph of a linear equation?
   Straight line

6. What does the point of intersection of two lines represent?
   Solution

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Chapter 5: Introduction to Euclid's Geometry from Class 9 Maths:

1. Who is known as the father of geometry?
   Euclid

2. What is the fundamental idea of geometry?
   Point

3. What is a line that has no end in one direction called?
   Ray

4. What is a line with two endpoints called?
   Line segment

5. What is the length of a line segment?
   Finite

6. What is a point that does not have any dimension?
   Zero-dimensional

7. What is the name of a figure that has no thickness or width?
   Line

8. What is an angle that measures less than 90° called?
   Acute

9. What is an angle that measures exactly 90° called?
   Right

10. What is the minimum number of points required to form a plane?
    Three

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Chapter 6: Lines and Angles

1. What is a pair of angles whose sum is 180° called?
   Supplementary

2. What is a pair of angles whose sum is 90° called?
   Complementary

3. What type of angle is more than 90°?
   Obtuse

4. What is the sum of co-interior angles on the same side of the transversal?
   180°

5. What do you call lines that never intersect?
   Parallel

6. What is the sum of angles on a straight line?
   180°

7. What is the sum of angles around a point?
   360°

8. What is the angle between two intersecting lines called?
   Vertically opposite

9. What is the sum of two adjacent angles on a straight line?
   180°

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Chapter 7: Triangles and Its Properties from Class 9 Maths:

1. What is a triangle with all sides equal called?
   Equilateral

2. What is a triangle with two equal sides called?
   Isosceles

3. What is a triangle with no equal sides called?
   Scalene

4. What is the sum of the angles in any triangle?
   180°

5. What is the longest side of a right-angled triangle called?
   Hypotenuse

6. What is the term for the perpendicular from a vertex to the opposite side?
   Altitude

7. What is the property that states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles?
   Exterior angle theorem

8. What is the condition for the sides of a triangle to form a valid triangle?
   Sum of two sides > third side

9. What is the term for the side opposite the right angle in a right-angled triangle?
   Hypotenuse

10. What is the name of the triangle whose all angles are less than 90°?
    Acute-angled

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Chapter 8: Quadrilaterals

1. What is a quadrilateral with opposite sides parallel called?
   Parallelogram

2. What is a quadrilateral with all sides equal and opposite sides parallel called?
   Rhombus

3. What is a quadrilateral with all angles 90° called?
   Rectangle

4. What is a quadrilateral with all sides equal and all angles 90° called?
   Square

5. What is a quadrilateral with one pair of opposite sides parallel called?
   Trapezium

6. What is the sum of the interior angles of any quadrilateral?
   360°

7. What is the name of a quadrilateral with diagonals bisecting each other at right angles?
   Rhombus

8. What is the name of a quadrilateral whose diagonals are equal and bisect each other?
   Rectangle

9. What is the name of the quadrilateral with one pair of parallel sides and non-parallel sides equal?
   Isosceles trapezium

10. What is the property for the diagonals of a square?
    Equal and bisect each other at 90°

11. What is the term for the opposite sides of a rectangle?
    Equal and parallel

12. What is the term for a parallelogram with right angles?
    Rectangle

13. What is the sum of the exterior angles of a quadrilateral?
    360°

14. What is a quadrilateral with exactly one pair of opposite sides parallel?
    Trapezium

15. What is the term for a quadrilateral with two pairs of parallel sides?
    Parallelogram

16. What is the term for the quadrilateral whose opposite sides are equal and parallel, and diagonals bisect each other?
    Parallelogram

17. What is the name of a quadrilateral with opposite angles equal and diagonals that bisect each other at right angles?
    Rhombus

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Chapter 9: Heron's Formula

1. What is the formula to calculate the area of a triangle using its sides?
   Heron's formula

2. What is the semi-perimeter of a triangle?
   $\frac{a + b + c}{2}$

3. What does $s$ represent in Heron's formula?
   Semi-perimeter

4. What is the term for the sides of a triangle in Heron's formula?
   $a,b,c$

5. What is the formula for the area of a triangle in Heron’s formula?
   $\sqrt{s(s - a)(s - b)(s - c)}$

6. What type of triangle is used in Heron’s formula?
   Any triangle

7. What does Heron's formula help calculate?
   Area

8. What is the unit of area when using Heron's formula?
   Square units

9. What is the formula for the area of a parallelogram?
   Base × Height

10. What is the formula for the area of a triangle?
    $\frac{1}{2} \times \text{Base} \times \text{Height}$

11. What is the height of a parallelogram?
    Perpendicular distance

12. What is the area of a rectangle?
    Length × Breadth

13. What is the area of a square?
    Side²

14. What is the formula to calculate the area of a rhombus?
    $\frac{1}{2} \times \text{Diagonal}_1 \times \text{Diagonal}_2$

15. What is the formula for the area of a trapezium?
    $\frac{1}{2}\times (b_1+b_2)\times h$

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Chapter 10: Circles

1. What is the fixed point at the center of a circle called?
   Center

2. What is the distance from the center of the circle to any point on the circle called?
   Radius

3. What is the distance across the circle through the center called?
   Diameter

4. What is the formula for the circumference of a circle?
   $2\pi r$

5. What is the formula for the area of a circle?
   $\pi r^2$

6. What is a line segment joining two points on the circle called?
   Chord

7. What is a chord that passes through the center of the circle called?
   Diameter

8. What is the angle subtended by a diameter at the circumference called?
   Right angle

9. What is the name of the part of the circle between two radii?
   Sector

10. What is the part of the circle between chord and arc called?
    Segment

11. What is the longest chord in a circle?
    Diameter

12. What is the part of the circle that does not contain the center and is bounded by a chord called?
    Minor segment

13. What is the part of the circle that contains the center and is bounded by a chord called?
    Major segment

14. What is the term for a line that touches the circle at exactly one point?
    Tangent

15. What is the theorem stating that the angle subtended by a diameter at the circumference of a circle is always a right angle?
    Angle in a semi-circle theorem

16. What is the theorem that states that the angle subtended by an arc at the center of the circle is twice the angle subtended on the circumference by the same arc?
    Angle at the center theorem

17. What is the property of angles in the same segment of a circle?
    Angles are equal (Angle in the same segment theorem)

18. What is the sum of the opposite angles in a cyclic quadrilateral?
    180°

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Chapter 11: Surface Areas and Volumes

1. What is the formula for the surface area of a cuboid?
   $2(lb + bh + hl)$

2. What is the formula for the volume of a cuboid?
   $l \times b \times h$

3. What is the formula for the surface area of a cube?
   $6a^2$

4. What is the formula for the volume of a cube?
   $a^3$

5. What is the formula for the surface area of a sphere?
   $4\pi r^2$

6. What is the formula for the volume of a sphere?
   $\frac{4}{3} \pi r^3$

7. What is the formula for the surface area of a right circular cylinder?
   $2\pi r(h + r)$

8. What is the formula for the volume of a right circular cylinder?
   $\pi r^2 h$

9. What is the formula for the surface area of a right circular cone?
   $\pi r(l + r)$

10. What is the formula for the volume of a right circular cone?
    $\frac{1}{3} \pi r^2 h$

11. What is the formula for the surface area of a hemisphere?
    $3\pi r^2$

12. What is the formula for the volume of a hemisphere?
    $\frac{2}{3}\pi r^3$

13. What is the term for the curved surface area of a cone?
    $\pi r l$

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Chapter 12: Statistics

1. What is the term for the middle value in a data set when arranged in ascending or descending order?
   Median

2. What is the term for the value that occurs most frequently in a data set?
   Mode

3. What is the term for the average of a data set?
   Mean

4. What is the term for the difference between the largest and smallest values in a data set?
   Range

5. What is the method of organizing data into groups or intervals?
   Class interval

6. What is the graphical representation of data using bars of different heights?
   Bar graph

7. What is the term for the graph that shows the frequency of data points in intervals, often used for continuous data?
   Histogram

8. What is the term for the number of times an observation or value appears in a data set?
   Frequency

9. What is the graph that represents data using points connected by straight lines?
   Frequency polygon

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