Class 9 Mathematics Quiz
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Questions and Answers

In between any two numbers, there are:

  • Two rational numbers
  • Only one rational number
  • Infinite rational numbers (correct)
  • No rational number
  • Which of the following is an irrational number?

  • √23 (correct)
  • 7.478478
  • √225
  • 0.3796
  • Which of the following is an irrational number?

  • √7 (correct)
  • √(4/9)
  • √12/√3
  • √81
  • If a polynomial has all its coefficients as integers and its highest common factor is 1, it is called:

    <p>Prime polynomial</p> Signup and view all the answers

    The diagonals of a parallelogram ABCD intersect at O. If ∠DAC = 32°, ∠AOB = 70°, then what is the value of ∠DBC?

    <p>40°</p> Signup and view all the answers

    In the figure given below, line RT has been drawn parallel to SQ. If ∠PQS = 40°, ∠QPS = 100°, ∠PSR = 85° and ∠QRS = 70°, then ∠QRT is equal to:

    <p>62°</p> Signup and view all the answers

    If the graph of a linear equation is a straight line, how many solutions does it have?

    <p>One</p> Signup and view all the answers

    Which of the following pairs of linear equations is consistent and dependent?

    <p>2x + 3y = 7, 4x + 6y = 14</p> Signup and view all the answers

    Which of the following is NOT a postulate in Euclid's Geometry?

    <p>Through any three non-collinear points, there is exactly one plane</p> Signup and view all the answers

    What is the probability of a spinner landing on a multiple of 3 if it is divided into 8 equal sections?

    <p>3/8</p> Signup and view all the answers

    If the probability of rain on any given day is 30%, what is the probability of it not raining for two consecutive days?

    <p>0.49</p> Signup and view all the answers

    Study Notes

    Mathematics Quiz Overview

    • Total marks: 100
    • Duration: 90 minutes
    • Number of questions: 15

    Rational and Irrational Numbers

    • There are infinite rational numbers between any two numbers.
    • Example of an irrational number: √23 (not a perfect square).
    • Other examples of irrational numbers include √12/√3 and √7.

    Polynomials

    • A polynomial with all integer coefficients and a highest common factor of 1 is called an irreducible polynomial.
    • Types of polynomials include monomial and cubic polynomial.

    Geometry of Parallelograms

    • In a parallelogram ABCD, the diagonals intersect at point O.
    • If ∠DAC = 32° and ∠AOB = 70°, find the measure of ∠DBC.

    Geometry Angles

    • Given a parallel line RT to SQ, various angles can be calculated.
    • For instance, known angles ∠PQS = 40°, ∠QPS = 100°, ∠PSR = 85°, and ∠QRS = 70° can help find ∠QRT.

    Solutions of Linear Equations

    • A linear equation with a straight line graph has infinite solutions, one solution, or no solution depending on its relationship with other lines.
    • Consistent and dependent pairs of linear equations can be identified; e.g., 2x + 3y = 7 and 4x + 6y = 14.

    Euclidean Geometry

    • A key postulate is that two points determine a unique line.
    • Right angles are congruent, and specific conditions relate to lines and planes.

    Probability Concepts

    • A spinner divided into 8 equal sections has specific probabilities for landing on multiples of a number.
    • The probability of rain on a given day, when at 30%, translates to a different probability for consecutive days without rain, requiring calculations based on independence of events.

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    Description

    Test your knowledge of mathematics with this Class 9 quiz featuring 15 questions. Covering various topics, the quiz challenges your understanding of numbers and their properties. Perfect for students preparing for their exams!

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