PYQ Vault

Day 118: CBSE Class 10 Maths

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

  1. Question 1

    Some Applications of Trigonometry. Asked once: 2023 (same type asked 2 times)

    32
    A ladder set against a wall at an angle 45∘45^\circ to the ground. If the foot of the ladder is pulled away from the wall through a distance of 4 m, its top slides a distance of 3 m down the wall making an angle 30∘30^\circ with the ground. Find the final height of the top of the ladder from the ground and length of the ladder.

  2. Question 2

    Statistics. Asked once: 2025 (same type asked 2 times)

    32
    During a medical checkup, height of 35 students of a class were recorded as follows :
    Height (in cm)90-100100-110110-120120-130130-140140-150
    Number of Students3245147
    Find the difference between the mean height and median height.

  3. Question 3

    Statistics. Asked once: 2024 (same type asked 2 times)

    11
    If the mean of five observations xx, x+2x + 2, x+4x + 4, x+6x + 6 and x+8x + 8 is 11, then the value of xx is :

    Tap an option to check your answer.

  4. Question 4

    Surface Areas and Volumes. Asked once: 2025 (same type asked 2 times)

    34
    A wooden cubical die is formed by forming hemispherical depressions on each face of the cube such that face 1 has one depression, face 2 has two depressions and so on. The sum of number of hemispherical depressions on opposite faces is always 7. If the edge of the cubical die measures 5 cm and each hemispherical depression is of diameter 1.4 cm, find the total surface area of the die so formed.

  5. Question 5

    Introduction to Trigonometry. Asked once: 2023 (same type asked 2 times)

    23 (b)
    If sin⁡α=12\sin\alpha = \dfrac{1}{\sqrt{2}} and cot⁡β=3\cot\beta = \sqrt{3}, then find the value of cosec⁡α+cosec⁡β\operatorname{cosec}\alpha + \operatorname{cosec}\beta.