PYQ Vault

Day 25: MH SSC Class 10 Geometry

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Pythagoras Theorem. Asked once: Mar 2016 (same type asked 4 times)

    Q3(i)
    Adjacent sides of a parallelogram are 1111 cm and 1717 cm. If the length of one of its diagonals is 2626 cm, find the length of the other.

  2. Question 2

    Mensuration. Asked once: Jul 2025 (same type asked 3 times)

    Q2(A)(3)
    Measure of an arc of a circle is 90∘90^\circ and its radius is 14 cm. Complete the following activity to find the length of an arc.

  3. Question 3 (case study, 3 parts)

    Mensuration. Asked once: Mar 2025 (same type asked 3 times)

    The radii of the circular ends of a frustum of a cone are 14 cm and 8 cm. The height of the frustum is 8 cm. (π=3.14\pi = 3.14)
    Q4(3)(i)
    Find the curved surface area of the frustum.
    Q4(3)(ii)
    Find the total surface area of the frustum.
    Q4(3)(iii)
    Find the volume of the frustum.

  4. Question 4

    Trigonometry. Asked once: Jul 2024 (same type asked 3 times)

    Q4(3)
    To find the width of the river, a man observes the top of a tree, on the opposite bank making an angle of elevation of 60∘60^\circ. When he moves 24 meter backward from bank and observes the same top of the tree, his line of vision makes an angle of elevation of 30∘30^\circ. Find the height of the tree and width of the river. (3=1.73)(\sqrt{3} = 1.73)

  5. Question 5

    Mensuration. Asked once: Mar 2023 (same type asked 3 times)

    Q1(A)(4)
    If the radius of the base of a cone is 7 cm and its height is 24 cm, then find its slant height:

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