PYQ Vault

Circular ring or path: area = pi (R^2 - r^2)

This type of question, asked 6 times: 12 Sep 2025 S1, 12 Sep 2025 S2, 13 Sep 2025 S2, 14 Sep 2025 S1, 14 Sep 2025 S3, 16 Sep 2025 S2. All 7 questions below, oldest first.

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  1. Question 1

    12 Sep 2025 S1

    72
    A ring-shaped disc has outer radius 10 cm and inner radius 7 cm. What is the approximate ratio of the ring’s area to the whole outer circle?

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  2. Question 2

    12 Sep 2025 S2

    66
    A circular park having a radius of 14 m. If a 1.5 m wide path is built around it, what is the approximate area of the path?

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  3. Question 3

    13 Sep 2025 S2

    71
    A ring-shaped metallic sheet has outer and inner radii 10 cm and 6 cm. What percentage of the full circle's area is the ring?

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  4. Question 4

    13 Sep 2025 S2

    72
    A circular pond is surrounded by a path 2 m wide. If the total area (pond + path) is 616 m2\text{m}^2 and the pond area is 452.16 m2\text{m}^2, what is the radius of the pond?

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  5. Question 5

    14 Sep 2025 S1

    70
    A circular garden having a diameter of 10 m is surrounded by a concrete path that is 1 m wide. Calculate the percentage increase in area resulting from the addition of the path.

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  6. Question 6

    14 Sep 2025 S3

    66
    A circular path of 3 m width runs around a circular park with radius 8 m. What is the area of the path?

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  7. Question 7

    16 Sep 2025 S2

    68
    A circular fountain with a radius of 7 m is encircled by a grass bed that is 3.5 m wide. Determine the ratio of the area of the grass bed to the area of the fountain.

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