PYQ Vault

Day 10: CBSE Class 10 Maths

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

  1. Question 1

    Areas Related to Circles. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    15
    The hour hand of a clock is 7 cm long. The angle swept by it between 7:00 a.m. and 8:10 a.m. is :

    Tap an option to check your answer.

  2. Question 2

    Areas Related to Circles. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    31
    The perimeter of sector OAB of a circle with centre O and radius 5.6 cm, is 15.6 cm. Find length of the arc AB. Also find the value of θ\theta.
  3. Question 3 (case study, 4 parts)

    Arithmetic Progressions. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    Your elder brother wants to buy a car and plans to take a loan from a bank for his car. He repays his total loan of ₹ 1,18,000 by paying every month, starting with the first instalment of ₹ 1,000 and he increases the instalment by ₹ 100 every month. Based on the information given above, answer the following questions :
    36 (i)
    Find the amount paid by him in the 30th30^{\text{th}} instalment.
    36 (ii)
    If the total number of instalments is 40, what is the amount paid in the last instalment ?
    36 (iii) (a)
    What amount does he still have to pay after the 30th30^{\text{th}} instalment ?
    36 (iii) (b)
    Find the ratio of the tenth instalment to the last instalment.
  4. Question 4

    Arithmetic Progressions. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    23 (b)
    How many terms of the A.P. 21, 18, 15, .... must be added to get the sum zero ?
  5. Question 5

    Arithmetic Progressions. Asked 2 times: 2022*, 2026 (* = numbers or wording changed that year)

    22 (b)
    Find the sum of the first 28 terms of an A.P. whose nthn^{\text{th}} term is given by an=3n−2a_n = 3n - 2.