PYQ Vault

Day 109: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2023 (same type asked 3 times)

    35 (A)
    In the given figure, ∠ADC=∠BCA\angle ADC = \angle BCA ; prove that ΔACB∼ΔADC\Delta ACB \sim \Delta ADC. Hence find BD if AC = 8 cm and AD = 3 cm.
  2. Question 2

    Areas Related to Circles. Asked once: 2023 (same type asked 3 times)

    26
    In the given figure, AB and CD are diameters of a circle with centre O perpendicular to each other. If OA = 7 cm, find the area of shaded region.
  3. Question 3

    Areas Related to Circles. Asked once: 2023 (same type asked 3 times)

    5
    The circumferences of two circles are in the ratio 4:54 : 5. What is the ratio of their radii ?

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  4. Question 4

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 3 times)

    14
    The line represented by the equation x−y=0x - y = 0 is :

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  5. Question 5 (case study, 4 parts)

    Pair of Linear Equations in Two Variables. Asked once: 2024 (same type asked 3 times)

    Essel World is one of India’s largest amusement parks that offers a diverse range of thrilling rides, water attractions and entertainment options for visitors of all ages. The park is known for its iconic “Water Kingdom” section, making it a popular destination for family outings and fun-filled adventure. The ticket charges for the park are ₹ 150 per child and ₹ 250 per adult. On a day, the cashier of the park found that 300 tickets were sold and an amount of ₹ 55,000 was collected. Based on the above, answer the following questions :
    36 (i)
    If the number of children visited be x and the number of adults visited be y, then write the given situation algebraically.
    36 (ii) (a)
    How many children visited the amusement park that day ?
    36 (ii) (b)
    How many adults visited the amusement park that day ?
    36 (iii)
    How much amount will be collected if 250 children and 100 adults visit the amusement park ?