PYQ Vault

Day 16: MH SSC Class 10 Geometry

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Mensuration. This type asked 3 times: Mar 2023, Mar 2025, Mar 2026. This one: Mar 2026

    Q3(B)(4)
    A bucket is frustum shaped. Its height is 2828 cm. Radii of circular faces are 1212 cm and 1515 cm. Find the capacity of the bucket in litres. (π=227)\left(\pi = \dfrac{22}{7}\right)

  2. Question 2

    Trigonometry. This type asked 3 times: Mar 2016, Jul 2024, Mar 2026. This one: Mar 2026

    Q5(2)
    Two eagles are flying in the sky at a height of 10310\sqrt{3} m above the ground. A boy standing at a point on the ground looks towards the eagles making angles of elevation of 60∘60^\circ and 30∘30^\circ respectively. Find the distance between these two eagles.

  3. Question 3 (case study, 3 parts)

    Mensuration. This type asked 3 times: Mar 2019, Mar 2023, Jul 2025. This one: Jul 2025

    Observe the given figure and answer the following questions:
    Q5(2)(i)
    How many surfaces does a solid cone have?
    Q5(2)(ii)
    What are the names of slant height and perpendicular height in the given figure?
    Q5(2)(iii)
    If slant height of solid cone is 10 cm and perpendicular height is 8 cm, then find diameter of base of solid cone?

  4. Question 4

    Similarity. This type asked 3 times: Mar 2019, Mar 2022, Jul 2025. This one: Jul 2025

    Q1(A)(1)
    If △ABC∼△DEF\triangle ABC \sim \triangle DEF, m∠B=60∘m\angle B = 60^\circ, then m∠E=m\angle E = ________.

    Tap an option to check your answer.

  5. Question 5

    Circle. This type asked 3 times: Mar 2017, Mar 2023, Mar 2025. This one: Mar 2023

    Q1(A)(2)
    Chords AB and CD of a circle intersect inside the circle at point E. If AE=4AE = 4, EB=10EB = 10, CE=8CE = 8, then find ED:

    Tap an option to check your answer.