Mathematics Quiz Class 10
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Questions and Answers

Which of the following rational numbers does NOT lie between $-\frac{3}{15}$ and $-\frac{6}{15}$?

  • $-\frac{7}{15}$
  • $-\frac{4}{15}$
  • $\frac{2}{15}$ (correct)
  • $-\frac{1}{15}$
  • What is the $\frac{q}{p}$ form of the repeating decimal $3.777...$?

  • $\frac{34}{9}$ (correct)
  • $\frac{3}{10}$
  • $3.\overline{7}$
  • $4$
  • Dividing $\frac{6}{\sqrt{27}}$ by $2\sqrt{3}$ yields which result?

  • $\frac{1}{\sqrt{3}}$ (correct)
  • $4$
  • $6$
  • $3\sqrt{9}$
  • If $x+2$ is a factor of the polynomial $x^3 - 2ax^2 + 16$, what is the value of $a$?

    <p>4 (C)</p> Signup and view all the answers

    What is the degree of a quadratic polynomial?

    <p>2 (B)</p> Signup and view all the answers

    If point P has coordinates (-5, 3) and point Q has coordinates (8, -9), what is the value of (abscissa of Q) - (abscissa of P)?

    <p>13 (C)</p> Signup and view all the answers

    What are the coordinates of the point that lies on the y-axis at a distance of 5 units from the origin in the negative direction of the y-axis?

    <p>(0, -5) (A)</p> Signup and view all the answers

    Suppose $y$ varies directly as $x$. If $y = 24$ when $x = 8$, which of the following linear equations expresses this relationship?

    <p>$y = 3x$ (C)</p> Signup and view all the answers

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    Flashcards

    Rational Number

    A number that can be expressed as the quotient of two integers.

    Quadratic Polynomial Degree

    The highest exponent of the variable in a quadratic polynomial, which is 2.

    Direct Variation

    A relationship where one variable is a constant multiple of another.

    Abscissa

    The x-coordinate in a Cartesian coordinate system.

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    Y-axis Point

    A point on the y-axis where x is always 0.

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    Factor of a Polynomial

    A polynomial that divides another polynomial without a remainder.

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    Value of 'a' in Polynomial

    A specific constant that makes a polynomial divisible by a linear factor.

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    MCQ Format

    Multiple Choice Questions format with several options to choose from.

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    Study Notes

    General Instructions

    • Question paper has 5 sections (A-E)
    • Section A has 18 multiple choice questions (MCQs) and 2 assertion-reason questions, each worth 1 mark.
    • Section B has 5 questions, each worth 2 marks.
    • Section C has 6 questions, each worth 3 marks.
    • Section D has 4 questions, each worth 5 marks.
    • Section E has 3 case-study questions, each worth 4 marks, subdivided into parts worth 1, 1, and 2 marks respectively.
    • All questions are compulsory
    • An internal choice is provided in 2 questions of 5 marks, 2 questions of 3 marks and 2 questions of 2 marks in sections B, C and D, respectively.
    • Internal choices are available in 2-mark questions of Section E.
    • Use π = 22/7 where needed.
    • Draw neat diagrams where necessary.

    Section A

    • Question 1: Find the rational number that is not between -3/15 and -6/15.
    • Question 2: Express 3.777... as a fraction.
    • Question 3: Simplify 6√27 / 2√3.
    • Question 4: If x+2 is a factor of x³-2ax²+16, find the value of a.
    • Question 5: What's the degree of a quadratic polynomial?
    • Question 6: Given points P(-5, 3) and Q(8, -9), find (abscissa of Q) - (abscissa of P).
    • Question 7: Find the coordinates of the point on the y-axis that's 5 units from the origin in the negative direction.
    • Question 8: If y varies directly as x, and y = 24 when x = 8, find the linear equation.

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    Description

    This quiz covers a variety of topics suitable for Class 10 mathematics. It includes multiple choice questions, case studies, and numerical problems. Assess your understanding of rational numbers, simplification, and factors.

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