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Similar figures: area scales as the square of side or radius

This type of question, asked 6 times: 12 Sep 2025 S3, 13 Sep 2025 S3, 16 Sep 2025 S1, 18 Sep 2025 S3, 22 Sep 2025 S1, 23 Sep 2025 S3. All 6 questions below, oldest first.

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  1. Question 1

    12 Sep 2025 S3

    72
    A circular disc's radius is decreased by 10%10\%. What is the percentage decrease in its area?

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  2. Question 2

    13 Sep 2025 S3

    71
    Two circular ponds have circumferences in the ratio 3:5. If the smaller pond has an area of 150 m2\text{m}^2, what is the approximate area of the larger pond?

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  3. Question 3

    16 Sep 2025 S1

    68
    Two circular pizzas have radii in the ratio 2:3. If the smaller pizza has an area of 100π cm2100\pi\ \text{cm}^2, what is the area of the larger pizza?

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  4. Question 4

    18 Sep 2025 S3

    64
    If the side of a regular hexagon is doubled, what happens to its area?

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  5. Question 5

    22 Sep 2025 S1

    59
    The area of a regular triangle increases by 44%44\%. By what percentage did the side length increase?

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  6. Question 6

    23 Sep 2025 S3

    59
    The ratio of areas of two regular polygons with same number of sides is 4:9. What is the ratio of their side lengths?

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