Class 9th Math Quiz

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Category: Mathematics I

"Crack the Code, Unleash the Genius: Your Journey to Mathematics Mastery Starts Here!

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Mathematics I

REAL AND COMPLEX NUMBERS

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Category: Real and Complex Numbers

1. Non-terminating decimal fraction is also known as

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Category: Real and Complex Numbers

2. The set consist of positive integers, zero and negative integers is called

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Category: Real and Complex Numbers

3. Add 2 + 3i  and - 3 + 5i is

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Category: Real and Complex Numbers

4. The numbers 1, 2, 3, .... which are used for counting certain objects are called

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Category: Real and Complex Numbers

5. π is a

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Category: Real and Complex Numbers

6. The decimal form of 5 ⁄ 8 is

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Category: Real and Complex Numbers

7. The decimal fraction in which some digits are repeated again and again in same order in its decimal part is called

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Category: Real and Complex Numbers

8. The union of the set of rational and irrational numbers is known as

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Category: Real and Complex Numbers

9. The set of real numbers is denoted by

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Category: Real and Complex Numbers

10. The numbers which can be expressed as quotient of integers are known as

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Category: Real and Complex Numbers

11. 4 ⁄ 11 = 0.2222 is the example of

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Category: Real and Complex Numbers

12. The numbers in the form of p ⁄ q where p, q are integers and q is not zero are called

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Category: Real and Complex Numbers

13. The set of irrational numbers is denoted by

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Category: Real and Complex Numbers

14. 2 ⁄ 10 = 0.2 is the example of

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Category: Real and Complex Numbers

15. √3 is the example of

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Mathematics I

LOGARITHMS

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Category: Logarithms

1. Log xyz =

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Category: Logarithms

2. 3^5 =243 can be written in logarithmic form as

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Category: Logarithms

3. The Scientific notation of 0.00789 is

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Category: Logarithms

4. Integral part of logarithm is ________.

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Category: Logarithms

5. If log2 8 = x then x =

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Category: Logarithms

6. The characteristic of log 54.58 is

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Category: Logarithms

7. The base of common logarithm is

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Category: Logarithms

8. Logarithm having base 10 is called ____ logarithms

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Category: Logarithms

9. The number of digits in 3^5

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Category: Logarithms

10. Log 31.09 = ________.

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Category: Logarithms

11. If log10 x = 4 then x=______

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Category: Logarithms

12.  If log x = 2 then x =

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Category: Logarithms

13. Logarithm of a number consists of ___ parts.

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Category: Logarithms

14. Base in the Natural logarithm

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Category: Logarithms

15. Fractional part of logarithm is ________.

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Mathematics I

ALGEBRAIC EXPRESSIONS AND FORMULAS

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Category: Algebraic Expression and Formulas

1. The degree of the 3x2y + 5y4 –10 is

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Category: Algebraic Expression and Formulas

2. √7 is an example of

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Category: Algebraic Expression and Formulas

3. ( x + y )( x – y )( x2 + y2 ) is equals to

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Category: Algebraic Expression and Formulas

4. a3 – 3ab(a – b) – b3 is equals to

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Category: Algebraic Expression and Formulas

5. Quotient p(x)/q(x) of two polynomials p(x) and q(x), where q(x) ≠ 0 is called

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Category: Algebraic Expression and Formulas

6. a2 + b2 + c2 + 2ab + 2bc + 2ca is equals to

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Category: Algebraic Expression and Formulas

7. 3x + 2y - 3 is an algebraic

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Category: Algebraic Expression and Formulas

8. (5+√15) (5 – √15) is equals to

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Category: Algebraic Expression and Formulas

9. Degree of polynomial 2x3 + x2 – 4x4 + 7x – 9 is

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Category: Algebraic Expression and Formulas

10. Conjugate of – 2 – √3 is

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Category: Algebraic Expression and Formulas

11. √(3x+5 ) is a/an

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Category: Algebraic Expression and Formulas

12. A surd which contains sum of two monomial surds is called

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Category: Algebraic Expression and Formulas

13. The process of multiplying a given surd by its rationalizing factors to get a rational number as product is called _________ of the given surd.

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Category: Algebraic Expression and Formulas

14. Every Polynomial is

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Category: Algebraic Expression and Formulas

15. If a+b=5 and a-b=3, then the value of ab is

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Mathematics I

FACTORIZATION

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Category: Factorization

1. Factors of x2+5x+6

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Category: Factorization

2. If 9x²+6x+m is a complete square, then m=

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Category: Factorization

3. Factors of x³ – 64y³

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Category: Factorization

4. Factors of a² +2a‒24

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Category: Factorization

5. It is the process in which we express the given polynomial (expression) as a product of two or more expressions.

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Category: Factorization

6. Factors of  y3 + 27z3

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Category: Factorization

7. Factors of  y3 – 27z3

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Category: Factorization

8. Factors of  a4 – b4

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Category: Factorization

9. Factors of 16x² – y4

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Category: Factorization

10. Factors of  x² - y²

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Category: Factorization

11. Factors of a² +2ab+ b² ‒ c²

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Category: Factorization

12. Factors of  x3 – y3

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Category: Factorization

13. If x²+4x+m is a complete square, then m =

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Category: Factorization

14. Factors of  x2 – x – 6

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Category: Factorization

15. Factors of  x3 + y3

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Mathematics I

ALGEBRAIC MANIPULATION

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Category: Algebraic Manipulation

1. Simplified form of 1/(x+y) + y/(x2 -y2) is _________.

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Category: Algebraic Manipulation

2. LCM of (2y + 3z)5 and (2y+3z)3 is _______.

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Category: Algebraic Manipulation

3. LCM of x4 – y4 and x2 – y2 is ________.

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Category: Algebraic Manipulation

4. There are _____ methods to be used to find the H.C.F of polynomials

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Category: Algebraic Manipulation

5. HCF of a3 – 1 and a2 – 1 is ________.

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Category: Algebraic Manipulation

6. HCF x LCM of two polynomials = _______.

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Category: Algebraic Manipulation

7. HCF of y2 – 4 and y – 2 is _________.

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Category: Algebraic Manipulation

8. LCM of (x – y)4 and (x – y)3 is _________.

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Category: Algebraic Manipulation

9. HCF of x3 – y3 and x2 + xy +y2 is _________.

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Category: Algebraic Manipulation

10. Simplified form of (a3 x3+a3 y3 )/(a2 (x+y))=

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Category: Algebraic Manipulation

11. LCM = _____________.

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Category: Algebraic Manipulation

12. HCF of a2 + 4a +3 and a2 + 5a + 6 is ______.

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Category: Algebraic Manipulation

13. HCF of x3 – 8y3 and x2 – 4xy +4y2 is __________.

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Category: Algebraic Manipulation

14. Simplified form of y/(25x2 -y2) - 1/(5x -y) is _________.

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Category: Algebraic Manipulation

15. LCM of x3 + 1 and x + 1 is ________.

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Mathematics I

LINEAR EQUATION AND INEQUALITIES

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Category: Linear Equation and Inequalities

1. The solution set of 5 – 3y = - 7 is

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Category: Linear Equation and Inequalities

2. The absolute value of a number is always

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Category: Linear Equation and Inequalities

3. x ≤ 4 means

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Category: Linear Equation and Inequalities

4. If symbol of equality "=" is involved in an open sentences then such open sentence is called a/an

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Category: Linear Equation and Inequalities

5. The solution set of √(5y+5 )+5=10 is

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Category: Linear Equation and Inequalities

6. The solution set of √y= 10 is

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Category: Linear Equation and Inequalities

7. │-20│

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Category: Linear Equation and Inequalities

8. √(y+4 )+2=8 is a

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Category: Linear Equation and Inequalities

9. The solution set of -2 ≤ x ≤ 2, x ∈ Z  is

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Category: Linear Equation and Inequalities

10. The solution set of linear equation in one variable has

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Category: Linear Equation and Inequalities

11. If x>0, y>0 and x-y<0, then

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Category: Linear Equation and Inequalities

12. The solution set of │5y/3│= 5 is

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Category: Linear Equation and Inequalities

13. The solution set of 3x + 7 = 4  is

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Category: Linear Equation and Inequalities

14. The solution set of  l4yl = 8  is

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Category: Linear Equation and Inequalities

15. The solution set of │-y│= 0 is

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Mathematics I

LINEAR GRAPHS AND THEIR APPLICATIONS

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Category: Linear Graphs and their Applications

1. The point (1,-2) lies in _____ quadrant.

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Category: Linear Graphs and their Applications

2. The (-3,-4) lies in the _______ quadrant.

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Category: Linear Graphs and their Applications

3. The line x= -5 is parallel to ____________.

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Category: Linear Graphs and their Applications

4. The solution set of the line x=2 and x=-5 is ____________.

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Category: Linear Graphs and their Applications

5. The Cartesian Plane is also called ________ plane.

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Category: Linear Graphs and their Applications

6. In __________ quadrant are both x and y coordinates negative.

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Category: Linear Graphs and their Applications

7. The line y = 4 is parallel to _______.

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Category: Linear Graphs and their Applications

8. __________ is the vertical number line called in the Cartesian coordinate system.

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Category: Linear Graphs and their Applications

9. The two coordinate axes intersect at an angle of ________.

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Category: Linear Graphs and their Applications

10. In 2nd quadrant both x and y coordinates are __________.

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Category: Linear Graphs and their Applications

11. An ordered pair represents the position of a point in the _________ plane.

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Category: Linear Graphs and their Applications

12. The line x = -5 has a point on x-axis is __________.

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Category: Linear Graphs and their Applications

13. _________ is the horizontal number line called in the Cartesian coordinate system.

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Category: Linear Graphs and their Applications

14. The coordinate axes are mutually _____________.

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Category: Linear Graphs and their Applications

15. The point where both coordinate axes intersect is called _____________.

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Mathematics I

QUADRATIC EQUATIONS

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Category: Quadratic Equations

1. 3^x + 3^2x = 1 is called ?

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Category: Quadratic Equations

2. Solution of 3^x = 9 is ?

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Category: Quadratic Equations

3. Degree of ax^2 + bx + c = 0 is ?

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Category: Quadratic Equations

4. Equations in which the variable occurs in exponent are called ?

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Category: Quadratic Equations

5. A Polynomial equation in which degree of variables is two called ?

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Category: Quadratic Equations

6. An equation of the type of 3^x + 3^x-2 + 6 =0 is ?

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Category: Quadratic Equations

7. An equation of the form 2x^4 -3x^3 + 7x^2 - 3x + 2 = 0 is called ?

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Category: Quadratic Equations

8. How many maximum roots of Quadratic Equation are?

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Category: Quadratic Equations

9. The solution set of equation 4x^2 - 16 =0

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Category: Quadratic Equations

10. Solution set of x^2 + 10x +24 = 0 is ?

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Category: Quadratic Equations

11. Polynomial equation, which remains unchanged when x is replaced by 1/x is called ?

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Category: Quadratic Equations

12. Equations involving radical expression of the variable are called ?

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Category: Quadratic Equations

13. Two linear factors of x^2 - 15x + 56 are ?

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Category: Quadratic Equations

14. Standard foam of quadratic equation is ?

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Category: Quadratic Equations

15. A value obtained, for an unknown in the solution of an equation which is not a root of the equation is called ?

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Mathematics I

CONGRUENT TRIANGLES

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Category: Congruent Triangles

1. In Δ ABC , if <A  ≅ <B, then the bisector of ______ angle divides the triangle into congruent triangles.

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Category: Congruent Triangles

2. How many acute angles are there in an acute angled triangle?

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Category: Congruent Triangles

3. In Δ ABC  ↔ Δ DEF, then side AC corresponds to _______

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Category: Congruent Triangles

4. In an isosceles triangle, the base angle are_____.

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Category: Congruent Triangles

5. Which of the following is not sufficient condition for congurence of  two triangles?

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Category: Congruent Triangles

6. In a right angled triangle , side opposite to right angle is called _______.

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Category: Congruent Triangles

7. If  Δ ABC ≅  Δ DEF , m ∠F is equals to ____.

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Category: Congruent Triangles

8. In an equilateral triangle. angles are of the _________ measurement.

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Category: Congruent Triangles

9. The diagonal of _____ does not divide it into two congruent triangles.

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Category: Congruent Triangles

10. In Δ KLM  ↔ Δ PQR , then < MKL corresponds to _____

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Category: Congruent Triangles

11. The sum of the measures of all angles in a triangle is ________.

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Category: Congruent Triangles

12. The sum of measures of all angles in a quadrilateral is ________.

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Category: Congruent Triangles

13. The Sum of the measures of acute angle of a right triangle is _____

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Category: Congruent Triangles

14. If the measure of each of the angles of a triangle is 60 ° , then the triangle  is ____

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Category: Congruent Triangles

15. Sameness of size and shape in the mathematics called ____________.

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Mathematics I

PARALLELOGRAM AND TRIANGLES

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Category: Parallelograms and Triangles

1. In a parallelogram, opposite angles are ___________.

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Category: Parallelograms and Triangles

2. The medians  of a  triangle are _______.

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Category: Parallelograms and Triangles

3. Centroid is the common point of intersection of _____.

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Category: Parallelograms and Triangles

4. In a parallelogram, corresponding angles are ________.

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Category: Parallelograms and Triangles

5. Diagonals of a square  are _____ to each other.

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Category: Parallelograms and Triangles

6. A point on median of a triangle is ______.

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Category: Parallelograms and Triangles

7. In a parallelogram, the diagonals are _______ each other.

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Category: Parallelograms and Triangles

8. Sum of the measures of interior angles of a quadrilateral is equal to _____.

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Category: Parallelograms and Triangles

9. If the sum of the measures of angle A  and angle C of a parallelogram ABCD is 130° , then  measurement of angle B  = ?

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Category: Parallelograms and Triangles

10. Two medians AD  and BE  of △ ABC  intersect each other at G. If m GD  = 1.7 cm, then m AG = ?

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Category: Parallelograms and Triangles

11. Sum of the measures of interior angles of a quadrilateral is _______.

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Category: Parallelograms and Triangles

12. In a parallelogram, opposite sides are ______.

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Category: Parallelograms and Triangles

13. Measure of a line segment  joining the mid points of AB   and AC  of △ ABC  is 3.5 cm , then m BC  = ?

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Category: Parallelograms and Triangles

14. If opposite angles of a quadrilateral are equal in measures and none of them is a right angle ,then the quadrilateral is a

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Category: Parallelograms and Triangles

15. In a triangle, medians are _________.

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Mathematics I

LINE BISECTORS AND ANGLE BISECTORS

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Category: Line Bisectors and Angles Bisectors

1. Any point on the bisector of an angle is equidistant from its _______.

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Category: Line Bisectors and Angles Bisectors

2. Any point equidistant from the end points of a line segment is on the ______ of it.

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Category: Line Bisectors and Angles Bisectors

3. There are _______ acute angles in an acute angled triangle.

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Category: Line Bisectors and Angles Bisectors

4. ________ of the sides of an acute angled triangle intersect each other inside the triangle.

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Category: Line Bisectors and Angles Bisectors

5. _________ of a triangle is a line segment joining the midpoint of side to the opposite vertex.

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Category: Line Bisectors and Angles Bisectors

6. __________ cuts the line segment into two equal parts at 90°.

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Category: Line Bisectors and Angles Bisectors

7. The bisector of angles of a triangle are __________.

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Category: Line Bisectors and Angles Bisectors

8. A line, ray or segment is called bisector which cuts another line segment into _______ equal parts.

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Category: Line Bisectors and Angles Bisectors

9. A right bisector of line segment can be defined as a line which bisects a line segment at _________ degrees.

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Category: Line Bisectors and Angles Bisectors

10. The bisector of the angles of a triangle are ________.

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Mathematics I

SIDES AND ANGLES OF A TRIANGLE

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Category: Sides and Angles of a Triangles

1. In a right angled triangle , sum of the measures of the sides containing right angles is _______than the measure of the hypotenuse.

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Category: Sides and Angles of a Triangles

2. In any right angled triangle , ______ is the longest side of the triangle.

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Category: Sides and Angles of a Triangles

3. Perimeter of a rectangle is 22 cm , then the length of its diagonal is ______ 11 cm .

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Category: Sides and Angles of a Triangles

4. Measure of one side of an equilateral triangle is 6 cm, then the length of its median is _____ 9 cm.

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Category: Sides and Angles of a Triangles

5. The measure of the largest angle in a right-angled triangle is _____.

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Category: Sides and Angles of a Triangles

6. In △ ABC , m<A = 50 °  and m<B = 30°  , Side _____ will be longer than its other sides.

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Category: Sides and Angles of a Triangles

7. What is the relationship between an exterior point and a line?

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Category: Sides and Angles of a Triangles

8. How does the difference of two sides of a triangle compare to the third side?

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Category: Sides and Angles of a Triangles

9. A perpendicular on a line always makes an angle of ______.

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Category: Sides and Angles of a Triangles

10. What is the relationship between the sum of the two sides of a triangle and the third side?

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Mathematics I

PRACTICAL GEOMETRY- TRIANGLE

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Category: Practical Geometry - Triangles

1. A quadrilateral having each angle equal to 90 ° and all the sides are congruent is called_____.

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Category: Practical Geometry - Triangles

2. The _____ of a triangle cut each other in the ration 2:1

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Category: Practical Geometry - Triangles

3. Two or more than two lines are said to be concurrent if these passes through a common point known as ________.

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Category: Practical Geometry - Triangles

4. The line segment joining a vertex of a triangle and perpendicular to its opposite side is called an ______.

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Category: Practical Geometry - Triangles

5. The point where the internal bisectors of the angles of a triangle intersect is called the ________ of a triangle.

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Category: Practical Geometry - Triangles

6. The side of the right-triangle opposite to the greatest angle is _______.

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Category: Practical Geometry - Triangles

7. ____________ of a triangle means the point of concurrency of three altitudes of a triangle.

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Category: Practical Geometry - Triangles

8. The medians of a triangle are ______.

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Category: Practical Geometry - Triangles

9. The diagonals of a rectangle ________ each other.

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Category: Practical Geometry - Triangles

10. The SSA case is also known as the ________ case.

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Category: Practical Geometry - Triangles

11. The point of concurrency of the perpendicular bisectors of the sides of a triangle is called its ________.

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Category: Practical Geometry - Triangles

12. The perpendicular bisectors of the sides of a triangle are ______.

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Category: Practical Geometry - Triangles

13. If two ________ of a triangle are congruent ,then the triangle will be isosceles.

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Category: Practical Geometry - Triangles

14. Two or more than two triangles are said to be congruent if they are equiangular and measures of their corresponding sides are _____.

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Category: Practical Geometry - Triangles

15. If each angle on the base of an isosceles triangle is 45 °, then the measure of the third angle is _____.

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Category: Practical Geometry - Triangles

16. If the three medians of a triangle are congruent then the triangle is __________.

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Category: Practical Geometry - Triangles

17. The Ambiguous case in triangle congruence occurs when two sides and a ________ angle are given.

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Category: Practical Geometry - Triangles

18. A line segment drawn from a vertex of a triangle and meeting the mid point of its opposite side is called a _______.

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Category: Practical Geometry - Triangles

19. A triangle having all the three sides congruent is called ______ triangle.

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Category: Practical Geometry - Triangles

20. The_____ altitudes  of an equilateral triangle  are congruent.

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Mathematics I

THEOREMS RELATED WITH AREA

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Category: Theorems Related with Area

1. Perpendicular from the vertex of a triangle to its opposite side is called _______.

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Category: Theorems Related with Area

2. Parallelograms having same base and same altitude are __________.

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Category: Theorems Related with Area

3. The area of a parallelogram is calculated by ___________.

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Category: Theorems Related with Area

4. If perpendicular distance between two lines is the same .The lines are______.

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Category: Theorems Related with Area

5. If two triangles have equal areas then they will ________ be congruent as well.

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Category: Theorems Related with Area

6. The perpendicular distance between two parallel lines is always _________.

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Category: Theorems Related with Area

7. Two parallelograms have equal bases . They will be having the same areas , if ___________.

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Category: Theorems Related with Area

8. Two triangles are equal in areas, if they have same ______  and  equal altitudes.

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Category: Theorems Related with Area

9. A diagonal of a rectangle divides it into _______ congruent triangles.

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Category: Theorems Related with Area

10. △ ABC  and △ DEF have equal bases and equal altitudes, then the triangles are ________.

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Mathematics I

PROJECTION OF A SIDE OF A TRIANGLE

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Category: Projection of a side of a Triangle

1. In △ ABC , two sides are equal to 4 cm, it is called _____ triangle.

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Category: Projection of a side of a Triangle

2. In △ABC, with m<B= 90° then (m AB)2 +(m BC)2 = _____.

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Category: Projection of a side of a Triangle

3. The triangle with sides 4cm, 7cm and 8cm is _________ triangle.

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Category: Projection of a side of a Triangle

4. 8 cm , 15 cm and 17 cm are the sides of _____ triangle.

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Category: Projection of a side of a Triangle

5. In Right angle △ABC, (m AB)2 + _____= (m AC)2

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Mathematics I

INTRODUCTION TO CO-ORDINATE GEOMETRY / ANALYTICAL GEOMETRY

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

1. Collinear points lies on the same _____.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

2. A(3,0) and B (0,3) are any two points in the plane then |AB|=______.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

3. In 4th quadrant , x>0 and y ___.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

4. collinear points may form a ____________.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

5. Two perpendicular lines meet at an angle of ___.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

6. ( x1+x2/2 ,   y1+y2/2 )  is called _____.

 

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

7. If A(x1,y1) and B(x2,y2) be the any two points on the line, then |AB| =______.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

8. The point of intersection of all the three internal bisectors of the angles is called ___.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

9. Three non-collinear points form a ___________.

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Category: Introduction to Coordinate Geometry/ Analytical Geometry

10. The intersection of x-axis and y-axis is _______.

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