PYQ Vault

Day 63: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Real Numbers. This type asked 2 times: 2023, 2025. This one: 2025

    2
    (1+3)2−(1−3)2\left(1 + \sqrt{3}\right)^2 - \left(1 - \sqrt{3}\right)^2 is :

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  2. Question 2

    Some Applications of Trigonometry. This type asked 2 times: 2024, 2025. This one: 2024

    33
    From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30∘30^\circ and 60∘60^\circ respectively. (i) Find the horizontal distance between the building and the lamp post. (ii) Find the distance between the tops of the building and the lamp post.

  3. Question 3

    Some Applications of Trigonometry. This type asked 2 times: 2023, 2025. This one: 2025

    15
    A ladder 14 m long leans against a wall. If the foot of the ladder is 7 m from the wall, then the angle of elevation of the top of the wall is :

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  4. Question 4

    Statistics. This type asked 2 times: 2023, 2025. This one: 2025

    34
    Find the mean and median for the following data :
    ClassesFrequency
    5 – 152
    15 – 253
    25 – 355
    35 – 457
    45 – 554
    55 – 652
    65 – 752

  5. Question 5

    Statistics. This type asked 2 times: 2024, 2025. This one: 2024

    5
    If the mean of 6,7,p,8,q,146, 7, p, 8, q, 14 is 9, then

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