PYQ Vault

Day 50: CBSE Class 10 Maths

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

  1. Question 1

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

    8
    In triangles ABC and PQR, ∠A=∠Q\angle A = \angle Q and ∠B=∠R\angle B = \angle R, then AB : AC is equal to :

    Tap an option to check your answer.

  2. Question 2

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

    23
    In the given figure, AB∥DEAB \parallel DE and AC∥DFAC \parallel DF. Show that ΔABC∼ΔDEF\Delta ABC \sim \Delta DEF. If BC = 10 cm, EB = CF = 5 cm and AB = 7 cm, then find the length DE.

  3. Question 3

    Areas Related to Circles. This type asked 3 times: 2023, 2024, 2025. This one: 2025

    22 (b)
    In the given figure, three sectors of a circle of radius 5 cm, making angles 35∘35^\circ, 50∘50^\circ and 95∘95^\circ at the centre are shaded. Find the area of the shaded region. [Use π=227\pi = \dfrac{22}{7}]

  4. Question 4

    Areas Related to Circles. This type asked 3 times: 2023, 2024, 2025. This one: 2025

    1
    The diameter of a wheel is 63 cm. The distance travelled by the wheel in 100 revolutions is :

    Tap an option to check your answer.

  5. Question 5

    Arithmetic Progressions. This type asked 3 times: 2023, 2024, 2025. This one: 2023

    35 (a)
    The ratio of the 11th11^{\text{th}} term to 17th17^{\text{th}} term of an A.P. is 3 : 4. Find the ratio of 5th5^{\text{th}} term to 21st21^{\text{st}} term of the same A.P. Also, find the ratio of the sum of first 5 terms to that of first 21 terms.