10th Class Math Quiz
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Questions and Answers

What is the value of the expression 7/2?

  • 4
  • 2.5
  • 3.5 (correct)
  • 3

    • Which of the following expresses the coordinates of a point in the form (x, y)?

  • (7/2, 9/4)
  • (7/2, 9) (correct)
  • (7, 9/2)
  • 7/2

    • Which of the following is an example of a fraction?

  • 3/2 (correct)
  • (7/2, 9)
  • -3
  • 11

    • What value is represented by the expression 1 - p?

    <p>4/3 (C)</p> Signup and view all the answers

    Which of these options represents the 'median' in the given context?

    <p>90 degrees (D)</p> Signup and view all the answers

    If the expression 25 has an answer of (b), what does (b) most likely stand for?

    <p>A specific answer choice (A)</p> Signup and view all the answers

    What does the expression 1/26 likely represent in the given content?

    <p>A probability (A)</p> Signup and view all the answers

    Given the answer 4/3, what is the most likely value for the expression p?

    <p>1/3 (A)</p> Signup and view all the answers

    Which of these options is most likely to be the 'median' in the given context?

    <p>A numerical value (C)</p> Signup and view all the answers

    What is the most likely value for the expression 16 based on the context of the provided answers?

    <p>A numerical value (D)</p> Signup and view all the answers

    Given the answer 3 cu cm, what does 3 most likely represent?

    <p>A volume (A)</p> Signup and view all the answers

    What does the expression 2 13 units likely refer to?

    <p>A distance (D)</p> Signup and view all the answers

    Which of the following is a plausible explanation for why 27 is given as an answer in the context?

    <p>It's a result of a calculation (A)</p> Signup and view all the answers

    Study Notes

    Section A

    • Question 1: The product of zeroes of the polynomial kx² - 4x - 7 is 2. Find k. The answer is -7/2.

    • Question 2: In an arithmetic progression (A.P.), given a = 8 and a₁₁ = -19, calculate the common difference (d). The answer is -3.

    • Question 3: The midpoint of the line segment joining points (-1, 3) and (8, 3) is (7/2, 3).

    • Question 4: If sin θ = 1/√3, calculate the value of sec θ. The answer is 2√2/3.

    • Question 5: The highest common factor (HCF) of 132 and 77 is 11.

    • Question 6: In a quadratic equation 4x² - 5x + k = 0, if the roots are real and equal, the value of k is 25/16.

    • Question 7: If the probability of winning a game is p, the probability of losing the game is 1 - p.

    • Question 8: The distance between points (2, -3) and (-2, 3) is 2√13 units.

    • Question 9: Find the value of θ for which sin²θ + sinθcosθ + cos²θ = 2. The answer is 90°.

    • Question 10: The probability of drawing a red queen from a standard deck of 52 playing cards is 2/26 = 1/13.

    • Question 11: In statistics, if a variable divides a data set into two equal parts, it's called the median.

    Section B

    • Question 12: A sphere with radius 7 cm has a volume of 539/3 cubic cm.

    • Question 13: In a statistical data set, if the mean and median are 21 and 23 respectively, then the mode is 27.

    • Question 14: The slant height of a right circular cone with a height of 24 cm and a radius of 7 cm is 25 cm.

    • Question 15: If one of the roots of the quadratic polynomial (a - 1)x² + ax + 1 = 0 is -3, then the value of 'a' is 4/3.

    • Question 16: If one end of a diameter of a circle is (-4, 0), and the diameter has a length of 6 cm, the other end of the diameter on the x-axis is (2, 0).

    • Question 17: The value of k for which the pair of linear equations 5x + 2y - 7 = 0 and 2x + ky + 1 = 0 do not have a solution is 4/5.

    • Question 18: The probability of getting a doublet when rolling two dice is 1/6.

    • Question 19: Assertion (A) : If PA and PB are tangents from an external point P to a circle with center O, then quadrilateral OAPB is a cyclic quadrilateral. Reason (R): Opposite angles in a cyclic quadrilateral are equal. The correct answer is (c) The assertion is true but the reason is false.

    • Question 20: Assertion (A): The zeroes of the polynomial p(x) = x² - 2x - 3 are -1 and 3. Reason (R): The graph of p(x) intersects the x-axis at (-1, 0) and (3, 0). The correct answer is (a) Both Assertion (A) and Reason (R) are true and Reason (R) explains Assertion (A) completely.

    • Question 21: Given D is a point on BC of triangle ABC such that angle ADC = angle BAC, prove AC² = BC * DC. (This is a geometry proof problem.)

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    Test your knowledge of key mathematical concepts in this 10th class math quiz. Topics covered include polynomials, arithmetic progressions, trigonometry, and probability. Challenge yourself with ten diverse questions to reinforce your understanding.

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