PYQ Vault

Day 66: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2026 (same type asked 5 times)

    14
    PQ is tangent to a circle with centre O. If ∠POR=65∘\angle POR = 65^\circ, then m∠PTRm\angle PTR is

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  2. Question 2 (case study, 4 parts)

    Surface Areas and Volumes. Asked once: 2026 (same type asked 5 times)

    On a Sunday your parents took you to a fair. You could see lot of toys displayed and you wanted them to buy a Rubik’s cube and a strawberry ice-cream for you. Based on the information given above, answer the following questions :
    38 (i)
    Find the length of the diagonal of Rubik’s cube if each edge measures 6 cm.
    38 (ii)
    Find the volume of Rubik’s cube if the length of the edge is 7 cm.
    38 (iii) (a)
    What is the curved surface area of hemisphere (ice-cream) if the base radius is 7 cm ?
    38 (iii) (b)
    If two cubes of edges 4 cm are joined end-to-end, then find the surface area of the resulting cuboid.
  3. Question 3

    Areas Related to Circles. Asked once: 2024 (same type asked 4 times)

    22 (a)
    The minute hand of a clock is 14 cm long. Find the area on the face of the clock described by the minute hand in 5 minutes.
  4. Question 4

    Areas Related to Circles. Asked once: 2025 (same type asked 4 times)

    3
    If an arc of a circle of diameter 10 cm subtends an angle of 144∘144^\circ at the centre of the circle, then the length of the arc is :

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  5. Question 5

    Areas Related to Circles. Asked once: 2026 (same type asked 4 times)

    15
    Area of a segment of a circle of radius ‘r’ and central angle 60∘60^\circ is :

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