PYQ Vault

Day 64: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. This type asked 2 times: 2023, 2025. This one: 2025

    34 (a)
    From one of the faces of a solid wooden cube of side 14 cm, maximum number of hemispheres of diameter 1.4 cm are scooped out. Find the total number of hemispheres that can be scooped out. Also, find the total surface area of the remaining solid.

  2. Question 2

    Introduction to Trigonometry. This type asked 2 times: 2023, 2024. This one: 2024

    13
    If sin⁡α=32\sin\alpha = \dfrac{\sqrt{3}}{2}, cos⁡β=32\cos\beta = \dfrac{\sqrt{3}}{2}, then tan⁡α⋅tan⁡β\tan\alpha \cdot \tan\beta is :

    Tap an option to check your answer.

  3. Question 3

    Pair of Linear Equations in Two Variables. This type asked 2 times: 2023, 2024. This one: 2024

    22 (a)
    If 2x+y=132x + y = 13 and 4x−y=174x - y = 17, find the value of (x−y)(x - y).

  4. Question 4

    Pair of Linear Equations in Two Variables. This type asked 2 times: 2023, 2024. This one: 2024

    22 (b)
    Sum of two numbers is 105 and their difference is 45. Find the numbers.

  5. Question 5

    Quadratic Equations. This type asked 2 times: 2022, 2024. This one: 2024

    32 (b)
    The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find their present ages.