PYQ Vault

Day 95: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: 2023 (same type asked 2 times)

    18
    If every term of the statistical data consisting of n terms is decreased by 2, then the mean of the data :

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  2. Question 2

    Surface Areas and Volumes. Asked once: 2024 (same type asked 2 times)

    34
    A tent is in the shape of a cylinder, surmounted by a conical top. If the height and diameter of the cylindrical part are 3⋅53{\cdot}5 m and 6 m, and slant height of the top is 4⋅24{\cdot}2 m, find the area of canvas used for making the tent. Also, find the cost of canvas of the tent at the rate of ₹ 500 per m2\text{m}^2.

  3. Question 3

    Arithmetic Progressions. Asked once: 2023 (same type asked 5 times)

    32 (B)
    The sum of first q terms of an A.P. is 63q−3q263q - 3q^2. If its pthp^{\text{th}} term is −60-60, find the value of p. Also, find the 11th11^{\text{th}} term of this A.P.

  4. Question 4

    Circles. Asked once: 2025 (same type asked 5 times)

    11
    In the adjoining figure, TS is a tangent to a circle with centre O. The value of 2x∘2x^\circ is

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  5. Question 5 (case study, 4 parts)

    Surface Areas and Volumes. Asked once: 2026 (same type asked 5 times)

    A model of Leafy Ball Fountain is made to be kept on the tabletop. Water gently cascades down the ball into a decorative cylindrical pool where it is recycled. The diameter of spherical ball is 21 cm. Cylindrical pool – Outer diameter is 50 cm and inner diameter is 40 cm. Height of solid base is 14 cm. Height of water filled is 7 cm. Observe the figure and answer the following questions :
    38 (i)
    Determine the total height of the fountain.
    38 (ii)
    Find the volume of the ball.
    38 (iii) (a)
    If one-third of the ball is submerged in the water, find the volume of the water filled in the pool.
    38 (iii) (b)
    Find the sum of the outer curved surface area of the cylindrical part and surface area of the ball.