PYQ Vault

Day 102: CBSE Class 10 Maths

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

  1. Question 1

    Quadratic Equations. Asked once: 2025 (same type asked 4 times)

    32 (b)
    Find the smallest value of p for which the quadratic equation x2−2(p+1)x+p2=0x^2 - 2(p + 1)x + p^2 = 0 has real roots. Hence, find the roots of the equation so obtained.

  2. Question 2

    Statistics. Asked once: 2024 (same type asked 4 times)

    14
    The middle most observation of every data arranged in order is called :

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  3. Question 3 (case study, 4 parts)

    Statistics. Asked once: 2024 (same type asked 4 times)

    BINGO is game of chance. The host has 75 balls numbered 1 through 75. Each player has a BINGO card with some numbers written on it. The participant cancels the number on the card when called out a number written on the ball selected at random. Whosoever cancels all the numbers on his/her card, says BINGO and wins the game. The table given below, shows the data of one such game where 48 balls were used before Tara said 'BINGO'.
    Numbers announcedNumber of times
    0-158
    15-309
    30-4510
    45-6012
    60-759
    Based on the above information, answer the following :
    37 (i)
    Write the median class.
    37 (ii)
    When first ball was picked up, what was the probability of calling out an even number ?
    37 (iii) (a)
    Find median of the given data.
    37 (iii) (b)
    Find mode of the given data.

  4. Question 4

    Areas Related to Circles. Asked once: 2025 (same type asked 3 times)

    15
    If a sector of a circle has an area of 40π40\pi sq. units and a central angle of 72∘72^\circ, the radius of the circle is :

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  5. Question 5

    Areas Related to Circles. Asked once: 2025 (same type asked 3 times)

    18
    A piece of wire 20 cm long is bent into the form of an arc of a circle of radius 60π\dfrac{60}{\pi} cm. The angle subtended by the arc at the centre of the circle is :

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