PYQ Vault

Day 16: CBSE Class 10 Maths

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

  1. Question 1

    Probability. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    31
    Two dice of different colours are thrown at the same time. Write down all the possible outcomes. What is the probability that : (i) same number appears on both the dice ? (ii) different number appears on both the dice ?
  2. Question 2

    Quadratic Equations. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    34 (a)
    In a flight of 600 km, an aircraft slowed down its speed due to bad weather. Its average speed for the trip reduced by 200 km/h from its usual speed and time of flight increased by 30 minutes. Find the scheduled duration of the flight.
  3. Question 3

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

    35
    Two water taps together can fill a tank in 8898\dfrac{8}{9} hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
  4. Question 4

    Quadratic Equations. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    33 (B)
    The sum of the areas of two squares is 640 m2640\,\text{m}^2. If the difference in their perimeters is 64 m, find the sides of the two squares.
  5. Question 5

    Quadratic Equations. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    35 (a)
    In a class test, the sum of Anamika’s marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.