PYQ Vault

Day 187: CBSE Class 10 Maths

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

  1. Question 1 (case study, 4 parts)

    Some Applications of Trigonometry. Asked once: 2026

    Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank. From a window (W) of the building, the angle of elevation of top of the tank is 45∘45^\circ and angle of depression of its foot is 30∘30^\circ.
    38 (i)
    Write a relation between d (the height of window) and y.
    38 (ii)
    Determine the value of h.
    38 (iii) (a)
    Determine height of the water tank.
    38 (iii) (b)
    Find the value of xx and height of the window above ground level.
  2. Question 2

    Statistics. Asked once: 2026

    6
    While calculating mean of a grouped frequency distribution, step deviation method was used (x−ah=u)\left(\dfrac{x - a}{h} = u\right). It was found that xˉ=64\bar{x} = 64, h=5h = 5 and a=62.5a = 62.5. The value of uˉ\bar{u} is

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  3. Question 3

    Surface Areas and Volumes. Asked once: 2026

    12
    A camping tent in hemispherical shape of radius 1.4 m, has a door opening of area 0.50 m20.50\,\text{m}^2. Outer surface area of the tent is

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  4. Question 4

    Triangles. Asked once: 2026

    23
    In the given figure, DEFG is a square. ΔABC\Delta ABC is right angle triangle with ∠A=90∘\angle A = 90^\circ. Prove that AG×DG=AF×DBAG \times DG = AF \times DB.
  5. Question 5

    Areas Related to Circles. Asked once: 2026

    12
    Shown in the given figure is a circle with centre O. The area of the minor sector is 7 cm27\,\text{cm}^2. Area of circle is :

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