PYQ Vault

Day 145: CBSE Class 10 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 2 parts)

    Statistics. Asked once: 2022 (same type asked 4 times)

    Yoga is an ancient practice which is a form of meditation and exercise. By practising yoga, we not even make our body healthy but also achieve inner peace and calmness. The International Yoga Day is celebrated on 21st21^{\text{st}} of June every year since 2015. To promote Yoga, Green park society in Pune organised a 7-day Yoga camp in their society. The number of people of different age groups who enrolled for this camp is given as follows :
    Age Group15 – 2525 – 3535 – 4545 – 5555 – 6565 – 7575 – 85
    Number of People8101525402418
    Based on the above, find the following :
    13 (a)
    Find the median age of people enrolled for the camp.
    13 (b)
    If xx more people of age group 65 – 75 had enrolled for the camp, the mean age would have been 58. Find the value of xx.

  2. Question 2

    Areas Related to Circles. Asked once: 2024 (same type asked 3 times)

    6
    If the area of a sector of a circle is 720\dfrac{7}{20} of the area of the circle, then the angle at the centre is equal to

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  3. Question 3

    Arithmetic Progressions. Asked once: 2022 (same type asked 3 times)

    2
    Find the sum of first 20 terms of an AP in which d=5d = 5 and a20=135a_{20} = 135.

  4. Question 4

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

    14
    In the adjoining figure, AB is the chord of the larger circle touching the smaller circle. The centre of both the circles is O. If AB = 2r and OP = r, then the radius of larger circle is :

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  5. Question 5

    Introduction to Trigonometry. Asked once: 2025 (same type asked 3 times)

    13
    cos⁡θ1−cos⁡2θ\dfrac{\cos\theta}{\sqrt{1 - \cos^2\theta}} is equal to :

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