PYQ Vault

Day 138: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Real Numbers. Asked once: 2023 (same type asked 2 times)

    1
    If p2=3250p^2 = \dfrac{32}{50}, then p is a/an

    Tap an option to check your answer.

  2. Question 2

    Statistics. Asked once: 2023 (same type asked 2 times)

    34
    A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mean and median of the following data.
    Number of carsFrequency (periods)
    0 – 107
    10 – 2014
    20 – 3013
    30 – 4012
    40 – 5020
    50 – 6011
    60 – 7015
    70 – 808

  3. Question 3

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

    2
    If the mean of the first n natural numbers is 5n9\dfrac{5n}{9}, then the value of n is :

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  4. Question 4 (case study, 4 parts)

    Surface Areas and Volumes. Asked once: 2023 (same type asked 2 times)

    A golf ball is spherical with about 300 – 500 dimples that help increase its velocity while in play. Golf balls are traditionally white but available in colours also. In the given figure, a golf ball has diameter 4⋅24{\cdot}2 cm and the surface has 315 dimples (hemi-spherical) of radius 2 mm. Based on the above, answer the following questions :
    36 (i)
    Find the surface area of one such dimple.
    36 (ii)
    Find the volume of the material dug out to make one dimple.
    36 (iii) (a)
    Find the total surface area exposed to the surroundings.
    36 (iii) (b)
    Find the volume of the golf ball.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 2 times)

    3
    If 2x+3y=152x + 3y = 15 and 3x+2y=253x + 2y = 25, then the value of x−yx - y is :

    Tap an option to check your answer.