PYQ Vault

Day 201: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. Asked once: 2025

    33
    A bat manufacturing company made a huge bat for charity and got it signed by world cup winning team. The dimensions of the bat which is in the form of a cuboid with a cylindrical handle at the top are as follows : length = 2 m, width = 0.5 m, thickness = 0.1 m diameter of cylindrical part = 0.1 m height of cylindrical part = 0.7 m Find the volume of wood used in the bat. Also, find the total surface area of the wooden bat.
  2. Question 2

    Triangles. Asked once: 2026

    33 (a)
    D is the mid-point of side BC of ΔABC\Delta ABC. CE and BF intersect at O, a point on AD. AD is produced to G such that OD = DG. Prove that (i) OBGC is a parallelogram. (ii) EF∥BCEF \parallel BC (iii) ΔAEF∼ΔABC\Delta AEF \sim \Delta ABC
  3. Question 3

    Areas Related to Circles. Asked once: 2025

    4
    An arc of a circle is of length 5π5\pi cm and the sector it bounds has an area of 20π cm220\pi\,\text{cm}^2. Its radius is :

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  4. Question 4

    Arithmetic Progressions. Asked once: 2023

    35 (B)
    Solve the equation : −4+(−1)+2+5+…+x=437-4 + (-1) + 2 + 5 + \ldots + x = 437.
  5. Question 5

    Circles. Asked once: 2025

    25
    At point A on the diameter AB of a circle of radius 10 cm, tangent XAY is drawn to the circle. Find the length of the chord CD parallel to XY at a distance of 16 cm from A.